We carried out a Bayesian homogeneous determination of the orbital parameters of 231 transiting giant planets TGPs that are alone or have distant companions we employed differential evolution Markov chain Monte Carlo methods to analyse radialvelocity RV data from the literature and 782 new highaccuracy RVs obtained with the HARPSN spectrograph for 45 systems over 3 years. Our work yields the largest sample of systems with a transiting giant exoplanet and coherently determined orbital planetary and stellar parameters. We found that the orbital parameters of TGPs in noncompact planetary systems are clearly shaped by tides raised by their host stars. Indeed the most eccentric planets have relatively large orbital separations andor high mass ratios as expected from the equilibrium tide theory. This feature would be the outcome of planetary migration from highly eccentric orbits excited by planetplanet scattering KozaiLidov perturbations or secular chaos. The distribution of   aaSUBRSUB where a and aSUBRSUB are the semimajor axis and the Roche limit for welldetermined circular orbits peaks at 2.5 this agrees with expectations from the higheccentricity migration HEM although it might not be limited to this migration scenario. The few planets of our sample with circular orbits and gt 5 values may have migrated through discplanet interactions instead of HEM. By comparing circularisation times with stellar ages we found that hot Jupiters with alt 0.05 au have modified tidal quality factors 10SUP5SUP  QSUBpSUB  10SUP9SUP and that stellar QSUBsSUB  10SUP6SUP  10SUP7SUP are required to explain the presence of eccentric planets at the same orbital distance. As abyproduct of our analysis we detected a nonzero eccentricity e  0.104SUB0.018SUBSUP0.021SUP for HATP29 we determined that five planets that were previously regarded to be eccentric or to have hints of nonzero eccentricity namely CoRoT2b CoRoT23b TrES3b HATP23b and WASP54b have circular orbits or undetermined eccentricities we unveiled curvatures caused by distant companions in the RV time series of HATP2 HATP22 and HATP29 we significantly improved the orbital parameters of the longperiod planet HATP17c and we revised the planetary parameters of CoRoT1b which turned out to be considerably more inflated than previously found. P Full Tables 1 2 59 are only available at the CDS via anonymous ftp to A hrefhttpcdsarc.ustrasbg.frhttpcdsarc.ustrasbg.frA A hrefhttp130.79.128.5http130.79.128.5A or via A hrefhttpcdsarc.ustrasbg.frvizbinqcatJAA602A107httpcdsarc.ustrasbg.frvizbinqcatJAA602A107A
['planetary systems', 'techniques: radial velocities', 'stars: fundamental parameters', 'planet-star interactions', 'Astrophysics - Earth and Planetary Astrophysics', 'Astrophysics - Solar and Stellar Astrophysics']
The GAPS Programme with HARPSN at TNG . XIV. Investigating giant planet migration history via improved eccentricity and mass determination for 231 transiting planets
{'XIV. Investigating giant planet migration history via improved eccentricity and mass determination for 231 transiting planets': "A. S. Bonomo 1 , S. Desidera 2 , S. Benatti 2 , F. Borsa 3 , S. Crespi 4 , M. Damasso 1 , A. F. Lanza 5 , A. Sozzetti 1 , G. Lodato 4 , F. Marzari 6 , C. Boccato 2 , R. U. Claudi 2 , R. Cosentino 7 , E. Covino 8 , R. Gratton 2 , A. Maggio 9 , G. Micela 9 , E. Molinari 7 , I. Pagano 5 , G. Piotto 6 , E. Poretti 3 , R. Smareglia 10 , L. A ff er 9 , K. Biazzo 5 , A. Bignamini 10 , M. Esposito 8 , P. Giacobbe 1 , G. H'ebrard 11 , 12 , L. Malavolta 6 , 2 , J. Maldonado 9 , L. Mancini 13 , 1 , A. Martinez Fiorenzano 7 , S. Masiero 9 , 14 , V. Nascimbeni 6 , 2 , M. Pedani 7 , M. Rainer 3 , and G. Scandariato 5  \n(A ffi liations can be found after the references)  \nReceived 12 October 2016 / Accepted 1 March 2017", 'ABSTRACT': "Wecarried out a Bayesian homogeneous determination of the orbital parameters of 231 transiting giant planets (TGPs) that are alone or have distant companions; we employed di ff erential evolution Markov chain Monte Carlo methods to analyse radial-velocity (RV) data from the literature and 782 new high-accuracy RVs obtained with the HARPS-N spectrograph for 45 systems over ∼ 3 years. Our work yields the largest sample of systems with a transiting giant exoplanet and coherently determined orbital, planetary, and stellar parameters.  \nWe found that the orbital parameters of TGPs in non-compact planetary systems are clearly shaped by tides raised by their host stars. Indeed, the most eccentric planets have relatively large orbital separations and / or high mass ratios, as expected from the equilibrium tide theory. This feature would be the outcome of planetary migration from highly eccentric orbits excited by planet-planet scattering, Kozai-Lidov perturbations, or secular chaos. The distribution of α = a / a R, where a and a R are the semi-major axis and the Roche limit, for well-determined circular orbits peaks at 2.5; this agrees with expectations from the high-eccentricity migration (HEM), although it might not be limited to this migration scenario. The few planets of our sample with circular orbits and α > 5 values may have migrated through disc-planet interactions instead of HEM. By comparing circularisation times with stellar ages, we found that hot Jupiters with a < 0 . 05 au have modified tidal quality factors 10 5 /lessorsimilar Q ' p /lessorsimilar 10 9 , and that  \n'  \nstellar Q s 10 -are required to explain the presence of eccentric planets at the same orbital distance. As a by-product of our analysis, we detected a non-zero eccentricity e = 0 . 104 + 0 . 021 -0 . 018 for HAT-P-29; we determined that five planets that were previously regarded to be eccentric or to have hints of non-zero eccentricity, namely CoRoT-2b, CoRoT-23b, TrES-3b, HAT-P-23b, and WASP54b, have circular orbits or undetermined eccentricities; we unveiled curvatures caused by distant companions in the RV time series of HAT-P-2, HAT-P-22, and HAT-P-29; we significantly improved the orbital parameters of the long-period planet HAT-P-17c; and we revised the planetary parameters of CoRoT-1b, which turned out to be considerably more inflated than previously found.  \n/greaterorsimilar  \n6  \n10  \n7  \nKey words. Planetary systems - Techniques: radial velocities - Stars: fundamental parameters - Planet-star interactions", '1. Introduction': 'Despite two decades of observational e ff orts to discover extrasolar planets with a variety of techniques, many fascinating issues concerning the properties and orbital evolution of giant planets are still open questions. Among these are the migration of hot Jupiters, the origin of the frequently observed spin-orbit misalignments, and the architecture of planetary systems with closein giant planets. These planets are thought to be formed beyond the water-ice line ( a /greaterorsimilar 1 -3 au) in the protoplanetary disc, where solid material is abundant because of ice condensation, and then migrate towards their host stars (Bodenheimer et al. 2000; Rafikov 2006). Two main scenarios are usually invoked to explain the migration of hot giant planets: disc-driven migration and high-eccentricity migration (HEM).  \nThe former would yield mainly circular orbits and spin-orbit alignments because of damping by the disc (e.g. Goldreich & Tremaine 1980; Papaloizou & Larwood 2000; Kley & Nelson 2012). Nevertheless, modest eccentricities e /lessorsimilar 0 . 1 might be excited by disc-planet interactions for high disc surface densities and planet masses (e.g. Dunhill et al. 2013) or for less massive discs and planets with initial non-zero eccentricities ( e ∼ 0 . 04, Du ff ell & Chiang 2015). Actually, even significant obliquities can be observed after smooth disc migration if the disc was primordially misaligned for instance by a distant stellar companion (Batygin 2012) or chaotic star formation (Bate et al. 2010).  \nAccording to the HEM scenario, giant planets can move very close to their stars because of tidal dissipation of highly eccentric orbits occurring at periastron (e.g. Rasio & Ford 1996). Initial high eccentricities and spin-orbit misalignments are thought to be produced after disc dissipation by planet-planet scattering (e.g. Chatterjee et al. 2008), Kozai-type perturbations induced by a distant stellar or planetary companion on a highly inclined orbit (e.g. Fabrycky & Tremaine 2007, Naoz et al. 2011), secular dynamics in multi-planet systems (e.g. Wu & Lithwick 2011;  \nHamers et al. 2017), or a combination of these processes (e.g. Nagasawa et al. 2008). Tidal dissipation inside the planet mainly acts to circularise and shrink the planetary orbit, while tides inside the star act to realign the orbital plane with the stellar equator (Lai 2012). This explains why circularisation and spin-orbit re-alignment may procede with di ff erent timescales according to the di ff erent dissipation rates inside the stars and the planets (e.g. Ogilvie 2014).  \nThe current distribution of eccentricities of known giant planets - with circular orbits prevalently found at small distances from their host stars and significant eccentricities at wider separations where tidal interactions are much weaker - seem to support the high-eccentricity scenario against migration in the disc (see e.g. Matsumura et al. 2010; Pont et al. 2011, hereafter P11; Husnoo et al. 2012, hereafter H12). Moreover, planets that migrated from highly eccentric orbits through tidal dissipation and underwent orbit circularisation without significant mass or orbital angular momentum loss are expected to be found at a distance from their stars greater than or equal to twice the Roche limit a R = 2 . 16 · R p · ( M s / M p) 1 / 3 (e.g. Faber et al. 2005; Ford & Rasio 2006). It has recently been argued that this condition might also explain the sub-Jovian desert, the dearth of subJupiter-mass planets on short-period orbits (Matsakos & Konigl 2016; however, see also Mazeh et al. 2016).  \nFurther support for the HEM is likely provided by the eccentricity-metallicity relation for warm Jupiters, that is Jovian planets with orbital periods 10 /lessorsimilar P /lessorsimilar 200 d, first noticed by Dawson & Murray-Clay (2013). They pointed out that eccentric warm Jupiters are mainly found around metal-rich stars because in metal-rich environments more Jovian planets can form and thus more frequent gravitational interactions among them may occur via scattering or secular perturbations and raise their eccentricities. The finding that planets with an outer companion have higher average eccentricites than their single counterparts has been recently claimed by Bryan et al. (2016) from results of a Doppler survey of non-transiting systems carried out with the HIgh Resolution Echelle Spectrometer (HIRES) on the Keck telescope.  \nHowever, migration of close-in planets may also occur via interactions with the protoplanetary disc. Evidence for disc migration is mainly provided by i) giant planets orbiting very young stars and ii) hot and warm giant planets in compact systems, that is tightly packed multi-planet systems with minimum mutual inclinations:  \n- i. Young giant planets such as V830 Tau b (Donati et al. 2016) with an age of ∼ 2 Myr likely migrated through interactions with the protoplanetary disc because HEM would usually require longer times (e.g. Nagasawa et al. 2008; Petrovich 2015; Petrovich & Tremaine 2016).\n- ii. Two examples of hot giant planets in compact systems are the planetary systems Kepler-101 (Bonomo et al. 2014) and WASP-47 (Becker et al. 2015). The former is composed of an inner super-Neptune (Kepler-101b) with an orbital period P = 3 . 49 d and an outer Earth-size planet with P = 6 . 03 d. The latter contains four planets, with its hot Jupiter WASP-47b between an inner super-Earth ( P = 0 . 79 d) and an outer Neptune-size planet ( P = 9 . 03 d), and an additional long-period companion (Neveu-VanMalle et al. 2016). The giant planets Kepler-101b and WASP-47b almost certainly underwent disc migration otherwise the HEM would have destabilised the orbits of their close planetary companions. However, systems like Kepler-101 and WASP-47 seem to represent the exception rather than the rule because  \nhigh-precision space-based data from Kepler and CoRoT have revealed that the vast majority of hot giant planets do not have close companions (e.g. Latham et al. 2011; Ste ff en et al. 2012). The same considerations apply to warm Jupiters whose multiplicity rate appears to be significantly higher than hot giant planets (Huang et al. 2016).  \nAlternative theories to both high-eccentricity and disc migration to explain the presence of hot and warm giant planets in compact systems foresee in situ formation (Batygin et al. 2016; Huang et al. 2016), although these theories need observational corroboration (Batygin et al. 2016).  \nTo yield more observational constraints to theoretical models of giant planet migration and star-planet tidal interactions, it is important to determine accurate and precise orbital and physical parameters, hopefully in a uniform way, for a large sample of giant planets. Among the known giant planets, those seen in transit are the most interesting because transits allow us to determine the planet radii and, when combined with RV measurements, their true masses, which are fundamental physical quantities for investigating tidal e ff ects (e.g. Hut 1981). This work aims precisely to perform a homogeneous analysis of orbital and physical parameters of the known transiting giant planets (hereafter, TGPs) published before 1 January 2016 that do not belong to compact planetary systems. A particular attention is given to the orbital eccentricity which is a key parameter for understanding planetary evolution (e.g. Damiani & Lanza 2015). This analysis is of particular importance for several reasons:  \n- -planet eccentricities are often fixed at zero in the discovery papers when found consistent with zero or di ff erent from zero but with a low significance. Even though in some cases this assumption may be justified (see e.g. Sect. 6 in Anderson et al. 2012), it prevents us from determining the uncertainty on the eccentricity and, when this uncertainty is large, small but significant eccentricities in principle cannot be excluded;\n- -radial-velocity (RV) data of some planetary systems discovered by independent groups and obtained with di ff erent spectrographs were never combined to improve the orbital solution;\n- -RV jitter terms (see e.g. Gregory 2005) were not included as free parameters in the orbital fit of several known TGPs. This may lead to an underestimation of the eccentricity uncertainty and, in the worst cases, even to spurious eccentricities (H12);\n- -previous homogeneous analyses by P11 and H12 were limited to less than 70 systems while about 300 wellcharacterised TGPs are known today.  \nFor these reasons, we undertook a homogeneous Bayesian analysis of RV data published in the literature and new RVs we collected for forty-five TGPs with the High Accuracy Radial velocity Planet Searcher for the Northern hemisphere (HARPSN) spectrograph on the 3.6 m Telescopio Nazionale Galileo in La Palma island since mid-2012. We determine the orbital and physical parameters of 231 known TGPs in a consistent way, estimate upper and lower limits of their modified tidal quality factors, and, in general, attempt to understand better the orbital evolution / migration of close-in gaseous giant planets. We also report improved constraints on some long-term trends caused by distant companions of known TGPs with the HARPS-N observations we obtained so far.', '2.1. Sampleselection': 'The sample of the TGPs for our homogeneous analysis was chosen as follows. First, we selected only transiting planets with masses 0 . 1 < M p < 25 MJup and uncertainty on the mass lower than 30%. We set the mass upper limit following Schneider et al. (2011) and, to discard low-mass planets that may undergo a completely di ff erent evolution, we used a lower limit that is more conservative than the value of 0 . 3 MJup adopted by Hatzes & Rauer (2015). Indeed, in addition to the fact that the mass range of TGPs between 0 . 1 and 0 . 3 MJup is not well populated, the transition between low-mass and giant planets may not occur sharply at 0 . 3 MJup (see Fig. 2 in Hatzes & Rauer 2015). We are interested in TGPs that are alone or have distant companions (if any) with orbital separations from the inner planet greater than 0.5 au. So TGPs with M p > 0 . 1 MJup in compact multi-planet systems, such as the already mentioned WASP47 and Kepler-101 systems, but also Kepler-9 (Holman et al. 2010; Borsato et al. 2014) and Kepler-89 (Weiss et al. 2013), were excluded. We took into account the TGPs satisfying the aforementioned criteria that were published before 1 January 2016 and found 235 systems from which we excluded four systems, namely HAT-P-44, HAT-P-46, Kepler-14, and WTS1. This yields 231 systems for our sample which are listed in Table 5.  \nThe HAT-P-44 and HAT-P-46 systems were excluded because, after preliminary analyses of the HIRES RV data, we noticed their orbital parameters strongly depend on those of their outer companions, but the latter are not well constrained by the HIRES RVs (Hartman et al. 2014). We removed Kepler-14 from our catalogue because the RV semi-amplitude cannot be simply derived by the orbital fit (Sect. 3), but requires an ad hoc correction for the contamination by the visual stellar companion (Buchhave et al. 2011b). Finally, we noticed that some of the epochs of the RV data of WTS-1 listed in the discovery paper (Cappetta et al. 2012) are incorrect 1 . For this reason, we excluded it as well.', '2.2. HARPS-Nradial-velocitydata': "As mentioned in Sect. 1, we obtained new RVs for 45 of the selected 231 systems with the fibre-fed cross-dispersed HARPS-N echelle spectrograph on the Telescopio Nazionale Galileo (Cosentino et al. 2012, 2014). These data were obtained by the Global Architecture of Planetary Systems (GAPS) Consortium (Poretti et al. 2015). The high-resolution ( R = 115 000) HARPS-N spectrograph is located in a vacuum vessel which ensures temperature and pressure stability and thus provides very accurate RV measurements with instrumental drifts < 1ms -1 per night.  \nThese 45 systems were chosen from the list of dwarf stars with TGPs known at the time of the start of our programme (April 2012) that are brighter than V = 12 . 0 and further north than -20 deg. Very fast rotators or well-studied hosting stars that already had many RV measurements were excluded. A few individual targets were added to the sample during the execution of the programme for RV monitoring after dedicated RossiterMcLaughlin observations or for other specific reasons of interest.  \nTable 1. HARPS-N radial-velocity measurements and associated photon-noise uncertainties.  \nNotes. HARPS-N RV data are available at the CDS. A portion is shown here for guidance regarding its form and content.  \nAt least seven RVs were taken for each of the 45 systems; for some of them we obtained more than 30 RV measurements. These observations are spread over ∼ 2 . 5 -3 yr and were gathered with typical exposure times of 15 min with a simultaneous Thorium-lamp spectrum for stars with V < 10 . 5 or in obj AB observing mode, that is with fibre A on target and fibre B on sky, for fainter stars. Indeed, the simultaneous Thorium lamp does not provide a real improvement in the accuracy of RVs for V /greaterorsimilar 10 . 5. Radial velocities were extracted from the highresolution spectra with the standard online pipeline that performs a weighted cross-correlation with the numerical mask closer to the stellar spectral type (Pepe et al. 2002). Their typical photonnoise errors range from 2 to 10 m s -1 , depending on the stellar brightness and projected rotational velocity V sin i (Bouchy et al. 2009). The RVs of HAT-P-2 and XO-3, which are moderately fast rotators, were obtained by fitting the cross-correlation function with a Gaussian function over a window of 50 km s -1 instead of the default value of 20 km s -1 . The reprocessing was performed using the Yabi interface at the Trieste Observatory (Borsa et al. 2015).  \nIn total, we collected 782 HARPS-N RVs, which are listed in Table 1 along with their epochs given in BJDUTC and photonnoise uncertainties. Some of them have already been published such as those acquired for Qatar-1 (Covino et al. 2013), HAT-P18 (Esposito et al. 2014), XO-2N (Damasso et al. 2015a), TrES4 (Sozzetti et al. 2015), and KELT-6 (Damasso et al. 2015b). The RVs of Qatar-1 and HAT-P-18 in Table 1 are slightly di ff erent from those reported in Covino et al. (2013) and Esposito et al. (2014) because they were extracted with the latest version of the HARPS-N pipeline (version 3.7), not available at the time of the original publications. We derived the RVs of HD17156 from the HARPS-N spectra that were collected by Maggio et al. (2015) to search for possible variations in the log R ' HK activity indicator from periastron to apoastron; for this reason, these data have a specific sampling, with many observations being concentrated in four nights close to periastron or apoastron (see Table 1).", '2.3. Literatureradial-velocitydata': 'For each system, we used the available RV datasets published in the literature before 1 January 2016 with at least four RV observations at di ff erent orbital phases and excluded all the intransit measurements because the Rossiter e ff ect was not modelled along with the orbital fit (Sect. 3). We list the total number of RVs used, their timespan, and the number of independent datasets for each of the 231 host stars in Table 5. The maximum number of independent RV datasets for a single system is five (WASP-14).  \nIn a few cases, considerably noisy RV datasets were not used when they do not yield any improvement in the orbital solution and more precise data taken with other spectro-  \nTable 2. TRES radial-velocity measurements of Qatar-2 and associated photon-noise uncertainties.  \nNotes. Data are available at the CDS. A portion is shown here for guidance regarding its form and content.  \ngraphs are available. In two cases, such as Qatar-1 and TrES4, the literature RV measurements of Alsubai et al. (2011) and Mandushev et al. (2007) were not included because they yield RV semi-amplitudes that are inconsistent with the HARPS-N data (see Covino et al. 2013 and Sozzetti et al. 2015 for Qatar1 and TrES-4, respectively).', '2.4. Additionalradial-velocitydata': 'For the present work we used an updated set of RVs for Qatar2, consisting of 42 Tillinghast Reflector Echelle Spectrograph (TRES) RVs spanning 153 days from the discovery paper (Bryan et al. 2012) after correcting for a minor bug in the barycentric correction (Bryan et al. 2014), plus 27 new TRES RVs spanning 316 additional days (C. A. Latham, private communication). These RVs are listed in Table 2.  \nWe also included new HARPS data of CoRoT-9 that are presented in Bonomo et al. (2017) and that allow us to derive more precise orbital parameters and, in particular, non-zero eccentricity.', '3. Bayesian data analysis': "The literature data and our new HARPS-N RV measurements were fitted with i) a Keplerian orbit model; ii) a Keplerian orbit and a long-term linear drift when residuals obtained with the simple Keplerian orbit show a significant ( ≥ 3 σ ) slope caused by either an outer planetary / stellar companion or an activity cycle; iii) two non-interacting Keplerians with a possible long-term drift if the inner TGP has a known long-period companion, as in the case of HAT-P-13, HAT-P-17, WASP-8, etc.; iv) a Keplerian orbit and a curvature if data cover less than half of the period of the outer companion or the activity cycle, as for HAT-P-2, HATP-22, HAT-P-29, WASP-34, XO-2N (Sect. 5.2).  \nThe free parameters of model i) are the transit epoch T c, the orbital period P , the RV semi-amplitude K , e cos ω and e sin ω (where e and ω are the eccentricity and the argument of periastron), a jitter term s j and a RV zero point for each dataset (which accounts for the RV o ff sets among di ff erent spectrographs). The slope ˙ γ is the extra parameter in model ii), with the addition of the quadratic trend ¨ γ for model iv). Model iii) obviously includes the orbital parameters of the outer planet as well.  \nThe posterior distributions of the orbital parameters were obtained in a Bayesian framework by means of a di ff erential evolution Markov chain Monte Carlo (DE-MCMC) technique, which is the MCMC version of the di ff erential evolution genetic algorithm (ter Braak 2006). This guarantees an optimal exploration of the parameter space and fast convergence through the automatic choice of step scales and orientations to sample the posterior distributions (Eastman et al. 2013). For each system, a number of chains equal to twice the number of free parameters were initialised close to the values of the orbital parameters  \nreported in the literature and run simultaneously. The scales and directions of the jumping distribution for a given chain are determined from two of the other chains that are randomly selected at each step according to the prescriptions given by ter Braak (2006). Then, by considering the Gaussian likelihood function given in Eq. 9 of Gregory (2005), a proposed step for each chain is accepted or rejected according to the Metropolis-Hastings algorithm.  \nGaussian priors were imposed on T c and P from transit ephemeris and on the times of the secondary eclipses T e, by using Eq. 18 in Jord'an & Bakos (2008), when these times are available from ground- and / or space-based photometry. The epochs of secondary eclipses provide important constraints on e cos ω that must be properly taken into account in the orbital fit. The adopted priors on T c, P , and T e are reported in Table 6. We used a maximum of three T e measurements per target, if more than three observations of secondary eclipses were performed, which only concerns a few systems 2 . In a few cases, priors were directly imposed on e cos ω when their values instead of T e measurements are reported in the literature (Table 6). Uniform priors were considered for all the other orbital parameters except for the jitter terms for which Je ff rey's priors were adopted (e.g. Gregory 2005). The uniform prior on the eccentricity was ensured by weighting the stepping probability by the Jacobian of the transformation from [ e cos ω, e sin ω ] to [ e , ω ] (Ford 2006). This is practically equivalent to fitting [ √ e cos ω, √ e sin ω ] (e.g. Anderson et al. 2011d), but we preferred [ e cos ω, e sin ω ] since these quantities appear directly in the expression of the time difference ∆ T = T e -T c (e.g. Jord'an & Bakos 2008).  \nThe DE-MCMC chains were stopped after achieving convergence and good mixing according to Ford (2006), in other words, as soon as the Gelman-Rubin statistic is lower than 1.01 and the number of independent steps is greater than 1000. Burnin steps were identified following Eastman et al. (2013) and removed. The medians and the 15 . 86% and 84 . 14% quantiles of the posterior distributions are taken as the best values and 1 σ uncertainties of the fitted and derived parameters. When the modes (or the medians) of the distributions of the eccentricity or the RV jitter were found to be consistent with zero within 1 σ (2 σ ), we provided their 1 σ upper limits (and 2 σ upper limits for the eccentricity) estimated as the 68 . 27%(95 . 45%)confidence intervals starting from zero. The best-fit model and the RV residuals were visually checked for each system to be sure that everything in the analysis worked properly and that the residuals did not show any clear deviation from the expected symmetric distribution.  \nSince eccentricities cannot take negative values, observational uncertainties will yield systematically e > 0 even for circular orbits. This is a well-known bias in estimating eccentricities, as outlined by e.g. Lucy & Sweeney (1971). To overcome the bias, these authors analytically derived the theoretical eccentricity probability function and found that an eccentricity should be considered significant at a level of 95% if ˆ e ≥ 2 . 45 σ e rather than simply ˆ e ≥ 2 σ e, where ˆ e is the eccentricity expectation value and σ e is the 1 σ error. Here we make use of the obtained  \nDE-MCMC posterior distributions and Bayesian model selection between circular and eccentric models to establish which model is preferred when the eccentricity is found with a low significance, that is between 2 and 3.5 σ . To estimate the model likelihoods and thus to compute the Bayes factors between the two models, we sampled the posterior distributions obtained for both the circular and eccentric models with the Perrakis et al. (2014) method and its implementation as described in D'ıaz et al. (2016). Bayes factors greater than 20 in favour of the eccentric model usually provide strong evidence for a non-zero eccentricity (Kass & Raftery 1995) and, in those cases, we considered the orbit as eccentric. In general, we found that Bayes factors greater than 20 correspond to ˆ e > 3 σ e, where ˆ e is computed as the median of the eccentricity posterior distribution.  \nOther indicators such as the Bayesian Information Criterion (BIC) or the Akaike Information Criterion (AIC) (Liddle 2007) largely used in the literature (e.g. by P11 and H12) may suffer from several problems. First of all, they just provide a proxy for the Bayesian evidence because they take only the maximum likelihood into account and not its integral over the parameter space. Moreover, they rely on the assumption on Gaussianity or near-Gaussianity of the posterior distributions, which may not be respected in several cases; they have an asymptotic behaviour as a function of the number of measurements and it is not clear whether this behaviour is reached with 10-20 measurements, as is the case for several systems of our sample (however, the corrected AICc indicator should partly overcome this problem). Even more importantly, the BIC may often overestimate the odds ratio by a great extent, as shown by D'ıaz et al. (2016).  \nWe classify the orbit of a TGP as decisively circular if its eccentricity is consistent with zero and σ e < 0 . 050 to use a quite stringent criterion, although inevitably any criterion such as this is somewhat arbitrary. Eccentricities consistent with zero but with larger uncertainties are considered 'undetermined' (Sect. 5).", '4. System parameters': 'Our updated values of the RV semi-amplitude were combined with transit and stellar parameters from the literature to redetermine the physical planetary parameters, mass M p, density ρ p, and gravity log g p. In Table 7 we list the adopted values of stellar and transit parameters and the corresponding references. In general, we gave preference to the discovery papers unless more recent analyses yielded significantly revised and / or much more precise parameters. We used stellar parameters derived from asteroseismology for the very few targets for which asteroseismic analyses could be performed. For the adopted literature values of system parameters we employed split-normal distributions, with the option of taking asymmetric error bars into account, and combined them with the DE-MCMC posterior distributions of the orbital parameters.  \nSystem ages are crucial in order to understand the orbital evolution of planetary systems (Sect. 5.5) and to estimate upper and lower limits of the planetary modified tidal quality factors for well-determined circular and eccentric orbits (Sect. 5.6). While collecting the system parameters from the literature, we noticed strong inhomogeneity in computing stellar ages and a lack of age estimates (or age uncertainties) for some systems. System ages are usually derived via stellar evolutionary tracks by using constraints on the stellar density from the transit fitting and on the metallicity and the e ff ective temperature of the host stars from spectral analysis (e.g. Sozzetti et al. 2007). However, for several planetary systems such as those discovered  \nby the WASP / SWASP surveys, stellar ages have been mainly estimated through gyrochronology. Even though, in some cases, estimates from gyrochronology and stellar evolutionary tracks agree closely (see e.g. Bonomo et al. 2015), gyrochronological ages may not be accurate, in general (Angus et al. 2015) and because of possible spin-up of the host stars by their closein planets (Pont 2009; Maxted et al. 2015). For uniformity, in the case of age values derived from gyrochronology or lack of system ages (or their errors), we computed new stellar parameters, radius, mass, and age, and associated uncertainties, by using the Yonsei-Yale evolutionary tracks (Demarque et al. 2004) and determinations of transit stellar density, metallicity, and e ff ective temperature from the literature (values and references are given in Table 7; see also Bonomo et al. 2014, 2015 for more details). This concerns 37 host stars (see Table 7). For all these stars except three, i.e. CoRoT-1, WASP-63, and WASP-78, we found radii and masses in good agreement, within 2 σ , with the literature values even when the latter were computed with empirical relations (Torres et al. 2010a; Enoch et al. 2010) instead of stellar models. Our R s and M s of WASP-63 and WASP-78 derived with the Y2 evolutionary tracks di ff er by more than 2 σ from the values of the discovery papers that were instead estimated with empirical relations. The disagreement about the parameters of CoRoT-1 has a di ff erent origin: we used the updated value of stellar T e ff = 6298 ± 66 K determined by Torres et al. (2012). This value of T e ff is consistent with that found by Mortier et al. (2013), but is hotter than the T e ff previously reported by Barge et al. (2008). We also used our R s and M s values for WASP-79 because our larger uncertainties encompass the solutions given in Smalley et al. (2012) both with and without the main-sequence constraint. For the other thirty-three hosting stars we used the literature values of R s and M s (Table 7).  \nFor the systems for which we significantly improved the eccentricity determination (Sect. 5.1), new combined analyses of RV data and literature transit photometry might be worthwhile as they could lead to slightly improved stellar parameters, and hence planetary parameters. However, this goes beyond the scope of the present work.', '5. Results': "In Table 8 we report the RV orbital parameters and their 1 σ uncertainties for the 231 TGPs of our sample. For eccentricities consistent with zero, we provide both the 1 σ and 2 σ upper limits. In the second column, we designate the orbit of each planet as circular (C), eccentric (E), or undetermined (U) on the basis of the criteria discussed in Sect. 3. In the second last column we report the long-term trends detected with significance greater than or equal to 3 σ and / or indicate with 'PLC' (planetary companion) and 'CURV' the systems that show the presence of an outer planet or a curvature in the RV residuals, respectively. Trends and curvatures are usually caused by distant stellar or planetary companions, but in some cases may also be due to stellar activity cycles. In the last column we list the RV jitter for each host star found for the dataset with the lowest median formal uncertainty. Indeed, stellar jitter, which is mostly caused by stellar activity (e.g. Boisse et al. 2009; Dumusque et al. 2011; Lanza et al. 2011a), can be more accurately estimated in RV data that are not dominated by photon noise or are dominated very little.  \nPhysical planetary parameters (mass, density, and surface gravity) were derived as explained in Sect. 4 and are listed in Table 9 along with the planet orbital periods and eccentricities; for this last value we report only the 1 σ upper limits in the case of circular or undetermined orbits.  \nFig. 2. Phase-folded radial-velocity curve of HAT-P-29, after removing the quadratic trend (see text). The blue circles and red triangles indicate the HARPS-N and HIRES RV measurements, respectively. The solid line shows the preferred eccentric orbit, while the dotted line displays the circular model for comparison.  \n<!-- image -->  \nFig. 1. HARPS-N (blue circles) and SOPHIE (green diamonds) RV measurements of WASP-13 phase-folded with the photometric ephemeris along with the best-fit Keplerian model. We note the high-accuracy and high-precision radial velocities collected with HARPS-N with respect to the literature data.  \n<!-- image -->  \nWe first discuss significant di ff erences and new discoveries with respect to the literature (Sect. 5.1, 5.2, and 5.3) and then report on ensemble analyses to investigate tidal evolution and tidal star-planet interactions (Sect. 5.4, 5.5, and 5.6).", '5.1. Eccentricities': "Several measures of the orbital eccentricities reported in Table 8 are the most accurate and precise ever obtained because they were derived by i) combining for the first time di ff erent RV datasets published in the literature; ii) including for the first time priors on the epochs of secondary eclipses in the Keplerian fit (for instance, those recently observed by Kammer et al. 2015); and iii) adding our new high-accuracy and high-precision HARPS-N data for 45 systems.  \nAnexampleof the improvementon the measure of the orbital eccentricity in case iii), especially in the absence of constraints from observations of planetary occultations, is WASP-13: we found e < 0 . 017, to be compared with e = 0 . 14 ± 0 . 10 by using only the literature (SOPHIE) values (Skillen et al. 2009), although the eccentricity was fixed to zero in the discovery paper. Figure 1 shows our HARPS-N RV data of WASP-13 (blue circles) along with the SOPHIE measurements (green diamonds).  \nWith 25 high-precision and high-accuracy HARPS-N radial velocities we found a small but significant (5.8 σ ) eccentricity for HAT-P-29b, that is e = 0 . 104 + 0 . 021 -0 . 018 (Table 8). This cannot be revealed with previous HIRES data only (Buchhave et al. 2011a; Knutson et al. 2014). Radial-velocity data are shown in Fig. 2 along with the eccentric and circular best fits for comparison. Figure 3 displays the posterior distributions of e cos ω versus e sin ω , and the derived e and ω , showing the evident eccentricity detection. The non-zero eccentricity is not dependent on the way the long-term trend seen in HIRES RVs is modelled, that is with a quadratic trend (Sect. 5.2) or by fitting two independent slopes for the HIRES and HARPS-N data.  \nA few significant eccentricities or remarkable hints of nonzero eccentricity reported in the literature were found consis-  \ntent with zero and / or were designated as 'undetermined' in our analysis. These concern CoRoT-2b ( e = 0 . 0143 + 0 . 0077 -0 . 0076 , Gillon et al. 2010b), CoRoT-23b ( e = 0 . 16 ± 0 . 02, Rouan et al. 2012), TrES-3b ( e = 0 . 170 + 0 . 032 -0 . 031 , Knutson et al. 2014), HATP-23b ( e = 0 . 106 ± 0 . 044, Bakos et al. 2011), and WASP-54b ( e = 0 . 067 + 0 . 033 -0 . 025 , Faedi et al. 2013). As reported in Table 8, we found a circular orbit for CoRoT-2b and TrES-3b, while the eccentricities of CoRoT-23b, HAT-P-23b, and WASP-54b are not well determined according to the adopted criteria in Sect. 3.  \nFig. 3. DE-MCMC posterior distributions of e sin ω vs e cos ω (upper panel), and the derived ω vs e (bottom panel), from our analysis of the HIRES and new HARPS-N RVs, showing the small but significant eccentricity of HAT-P-29b: e = 0 . 104 + 0 . 021 -0 . 018 .  \n<!-- image -->  \nFor the last object we acquired thirteen new HARPS-N RVs (Table 5).  \nIn particular, the hint for a significant eccentricity of CoRoT2b mainly came from the timing of the Spitzer secondary eclipse at 4.5 µ m by Gillon et al. (2010b) that pointed to e cos ω significantly di ff erent from zero. However, the two Spitzer observations of planetary occultation at 3.6 and 8.0 µ mby Deming et al. (2011) do not indicate any significant phase shift from 0.5 (see their Table 2). The argument of periastron is unconstrained from our orbital fit including priors imposed on the secondary eclipse timings, thus questioning further a possible non-zero eccentricity.  \nThe disagreement with the eccentricity of TrES-3b found by Knutson et al. (2014) is remarkable, but, unlike these authors, we included all the RV measurements collected in the discovery paper (Sozzetti et al. 2009, see Table 5) where the eccentricity was fixed to zero. Our eccentricity e < 0 . 043 is in agreement with the timing of the secondary eclipses indicating e cos ω consistent with zero (Fressin et al. 2010; Croll et al. 2010b).  \nMore RV observations are required to unveil possible small but non-zero eccentricities for CoRoT-23b, HAT-P-23b, and WASP-54b. The same obviously applies to other systems with undeterminedeccentricities, especially those with relatively long orbital periods ( P /greaterorsimilar 7 days) such as Kepler-39b and Kepler-74b (Bonomo et al. 2015).  \nFigure 4 shows our derived eccentricities as a function of the orbital period for the 123 TGPs of our sample with welldetermined eccentricities. Black empty circles show circular orbits, orange triangles small ( e < 0 . 1) but significant eccentricities, and blue squares higher ( e ≥ 0 . 1) eccentricities.  \nFig. 4. Period-eccentricity diagram for the 123 TGPs in our sample with well-determined eccentricities, hence systems with undetermined eccentricities in Table 8 are not shown. Black empty circles refer to circular orbits, orange triangles indicate small ( e < 0 . 1) but significant eccentricities, and blue squares e ≥ 0 . 1.  \n<!-- image -->", '5.2. Long-termtrendsandconstraintsonlong-period companions': "Seven of the 45 systems we followed up with HARPS-N were known to show RV drifts attributed to outer companions or stellar activity cycles: HAT-P-2, HAT-P-4, HAT-P-7, HAT-P-22,  \nFig. 5. Radial-velocity residuals of HAT-P-2 (top), HAT-P-22 (middle), and HAT-P-29 (bottom) after removing the orbital signal of their inner giant planets (HAT-P-2b, HAT-P-22b, and HAT-P-29b). Red triangles and blue circles indicate the HIRES and HARPS-N measurements. The SOPHIE RVs of HAT-P-2 are not displayed here because of their relatively short timespan, although they were used for the orbital fit (Table 5 and 8). Formal error bars that are lower than symbol sizes cannot be seen.  \n<!-- image -->  \nHAT-P-29, WASP-11 / HAT-P-10, and XO-2N. Their slopes were discovered or better characterised with the HIRES long-term monitoring by Knutson et al. (2014).  \nWith our HARPS-N data, we are able to confirm the trends of HAT-P-4, HAT-P-7, and WASP-11 with the same slope as found with HIRES. For two systems, namely HAT-P-22 and XO2N, we see di ff erent or inverted slopes and thus evidence for a curvature in the RV residuals, after subtracting the inner planet signal (see Fig. 5, middle panel, for HAT-P-22 and Fig. 11 in Damasso et al. 2015a for XO-2N). We do not detect any significant trend in the HARPS-N RVs of HAT-P-2 and HAT-P-29, which is consistent with the RV drifts found by Knutson et al. (2014) if our data sampled the maximum (HAT-P-29) or minimum (HAT-P-2) of the long-term RV modulation. The literature and HARPS-N RV data of HAT-P-2 and HAT-P-29 were thus fitted by including a quadratic long-term trend (see Fig. 5).  \nWe report in Table 3 the values of the coe ffi cients of the curvature for HAT-P-2, HAT-P-22, and HAT-P-29 as well as the resulting improved constraints on the orbital parameters of their outer companions, which were derived by following the same procedure as Kipping et al. (2011) and using their Eqs. 1, 3, and 4. In Damasso et al. (2015a) we already discussed the curvature of XO-2N in the HARPS-N data and found that it might also be due to a stellar activity cycle because of a significant correlation between the RV residuals and the activity index log( R ' HK ) (see their Figs. 12 and 13). We did not notice any such correlation for the other systems showing long-term trends in our data, that is HAT-P-4, HAT-P-7, HAT-P-22, and WASP-11, which would indicate that these trends are due to outer companions. The same applies to HAT-P-2 and HAT-P-29 given that no slopes were seen in the S-index time series by Knutson et al. (2014).  \nConcerning drifts and trends that we determined only with literature RVs, most of which are due to outer companions, we  \nTable 3. Parameters of the curvatures shown in Fig. 5 and derived constraints on the orbital period, RV semi-amplitude, and minimum mass of the outer companions HAT-P-2c, HAT-P-22c, and HAT-P-29c. The reference time t pivot chosen as the average epoch of the RV time series, and the linear ˙ γ and quadratic ¨ γ trends are related through Eq. 1 in Kipping et al. (2011).  \n±  \n-  \n±  \n≥  \n≥  \n≥  \nTable 4. Improved parameters of HAT-P-17c.  \n-  \nfound values in good agreement with previous findings with the exception of HAT-P-56 and WASP-99 for which our analysis indicates the presence of unreported drifts with a significance of 4.0 σ and 4.6 σ , respectively (see Table 8). However, more data are certainly required to establish whether these drifts are caused by outer companions or have instrumental origin. The trend of WASP-99 is mainly driven by the first datapoint, which is ∼ 50 ms -1 below the other 19 measurements collected by Hellier et al. (2014).  \nWith our HARPS-N data we could detect and / or characterise better the two long-period companions HAT-P-17c and KELT6c of the inner giant planets HAT-P-17b and KELT-6b, respectively. We derived the orbital parameters of KELT-6c previously in Damasso et al. (2015b) and we report in Table 4 the improved parameters of HAT-P-17c. The precision on its orbital period, eccentricity, and mass is at least two times better than Fulton et al. (2013) thanks to the extended orbital coverage. In Fig. 6 we show the Keplerian models of both HAT-P-17b and HAT-P-17c overplotted on the HIRES (red triangles) and HARPS-N (blue circles) radial velocities.  \nThe derived orbital parameters of the outer companions with a complete (or nearly complete) RV orbital coverage such as HAT-P-13c, Kepler-424c, Kepler-432c, and WASP-8c are fully consistent with the published values. As in Knutson et al. (2014), we had to fit a circular orbit for WASP-8c to reach convergence of the DE-MCMC chains. We tried to do the same for WASP-34, but failed to reach convergence and proper mixing of the DE-MCMC chains given the poor orbital coverage of the outer companion (see Fig. 9 in Knutson et al. 2014) and thus, unlike these authors, we fitted a curvature.", '5.3. Updatedstellarandplanetaryparameters': 'The derived masses, densities, and surface gravities, of the 231 TGPs are listed in Table 9. Our uncertainties on planetary masses are comparable with the literature error bars, with di ff erences typically less than 10% for 37% of the considered TGPs, while they are lower (higher) by > 10% in 35% (28%) of the remaining cases. Lower error bars come from the fact that di ff erent RV datasets have been combined for the first time to obtain a more precise orbital solution and hence a more precise planetary mass from the improved RV semi-amplitude. Higher uncertain-  \nFig. 6. Keplerian best fits to the RV curves of the inner giant planet HAT-P-17b (top) and its outer long-period ( P ∼ 4000 d) companionHAT-P-17c (bottom). HIRES and HARPS-N data are shown with red triangles and blue circles. Formal error bars of the RVs are usually smaller than symbol sizes.  \n<!-- image -->  \nties may be due to i) the inclusion of RV jitter terms in the orbital fit when not previously taken into account and / or ii) the choice of letting the eccentricity vary in the orbital fit instead of adopting a circular orbit, as often done when the eccentricity is not well constrained but is compatible with zero. However, in general, the uncertainty on the eccentricity must be propagated to that of the other orbital parameters. Therefore, both i) and ii) provide more realistic uncertainties on the orbital hence planetary parameters. Nonetheless, the absence of any significant eccentricity for M p / M s /lessorsimilar 0 . 002 and a / R p /lessorsimilar 100 (see Sect. 5.5 and Fig. 8) would indicate that assuming a circular orbit for this range of parameters is reasonable when RV data do not allow us to constrain well the orbital eccentricity.  \nAs discussed in Sect. 4, we used updated values of the radius and mass of four planet-hosting stars, namely CoRoT-1,  \nWASP-63, WASP-78, and WASP-79 (see Table 7). The new stellar radius and mass imply revised planetary parameters for the hosted planets, although only those of CoRoT-1b, and in particular its radius, significantly di ff er from the literature values. Indeed, CoRoT-1b is larger, hence more inflated, than originally found by Barge et al. (2008). Its radius, mass, and density are found to be R p = 1 . 715 ± 0 . 03 RJup, M p = 1 . 23 ± 0 . 10 MJup, and ρ p = 0 . 302 + 0 . 031 -0 . 028 g cm -3 , which can be compared with the previous parameters: R p = 1 . 49 ± 0 . 08 RJup, M p = 1 . 03 ± 0 . 12 MJup, and ρ p = 0 . 38 ± 0 . 05 g cm -3 (Barge et al. 2008). The reason for the larger R p lies in the fact that we used a hotter stellar T e ff than Barge et al. (2008) (see Sect. 4); this implies a slightly higher stellar mass and a significantly larger stellar radius hence planetary radius from the transit depth.', '5.4. Semi-majoraxesandRochelimits': 'We find that only 4% of the TGPs in our sample do not fulfil the condition a ≥ 2 a R, as predicted by HEM in the absence of mass and angular momentum loss. Indeed, only 9 planets out of 231 have semi-major axes that are significantly lower than 2 a R, after taking the uncertainties on both a and a R into account: CoRoT1b, HAT-P-32b, Kepler-41b, TrES-4b, WASP-12b, WASP-19b, WASP-52b, WASP-103b, and WTS-2b. However, four of them, Kepler-41b, WASP-52b, WASP-103b, and WTS-2b, have undetermined eccentricities, although their orbits are likely circular. The planets in our sample with the lowest ratio α = a / a R are WASP-12b ( α = 1 . 21), WASP-19b ( α = 1 . 27), and WASP-103b ( α = 1 . 31).  \nFigure 7 shows the distributions of α = a / a R for welldetermined circular orbits (solid line) and planets with both circular orbits and undetermined eccentricities (dotted line). Both distributions peak at 2.5. A relevant issue concerns whether and how the transit probability ( R s / a for circular orbits) a ff ects the α distribution because the closer the planet, the higher the probability seen in transit (hence discovered). To evaluate the impact of the transit probability on the α distribution, we considered the distribution for circular orbits (solid line) and α ≤ 5 that encompasses the vast majority of the circular planets of our sample. For each bin of 0.20 in α , we weighted the frequency of giant planets in the bin by the transit probability, by adding up the inverses of the transit probabilities ( R s / a ) of the planets falling in that bin. The obtained normalised distribution is statistically indistinguishable from that shown in Fig. 7 (solid line) and therefore is not displayed. This can be understood by noticing that planets with similar semi-major axes (hence transit probabilities for similar R s) may fall in di ff erent α bins because of di ff erent a R values depending on both R p and ( M s / M p) 1 / 3 .  \nPlanets with circular orbits and relatively large α values ( α > 5), such as CoRoT-3b ( α = 13 . 9), CoRoT-27b ( α = 9 . 4), WASP99b ( α = 7 . 7), and WASP-106b ( α = 9 . 4), appear as possible outliers with respect to the inner distribution (see Fig. 7). These planets might have undergone a di ff erent migration history, for instance smooth disc migration instead of HEM (see Sect. 5.5).', '5.5. Tidaldiagrams': "'Tidal diagrams' are very useful in order to understand the impact of tidal star-planet interactions on the planetary orbital parameters (see e.g. P11). They show the mass ratios M p / M s as a function of a / R p because the circularisation time τ e scales as τ e ∝ ( M p / M s) · ( a / R p) 5 (e.g. Goldreich & Soter 1966). The tidal diagram containing the 231 giant planets of our sample  \nis displayed in Fig. 8 where well-determined circular orbits, undetermined eccentricities, small but significant eccentricities e < 0 . 1, and eccentricities e ≥ 0 . 1 are indicated with empty circles, crosses, orange triangles, and blue squares, respectively. The solid and dashed lines show the position of a planet with R p = 1 . 2 R Jup, which represents the median of the planetary radii of our sample, and semi-major axis a = a R and a = 2 a R, respectively. For comparison with P11, the dotted line displays the 1 Gyr isochrone for orbital circularisation for P = 3 d (corresponding to the pileup of hot Jupiters; e.g. Wright et al. 2009), Q ' p = 10 6 , and e = 0, where Q ' p = 3 Q p / 2 k 2 is the planetary modified tidal quality factor, Q p is the planet tidal quality factor, and k 2 is the Love number (e.g. Murray & Dermott 1999). Q ' p is a parameterisation of the response of the planet's interior to tidal perturbation: the higher Q ' p , the lower the dissipation rate of the kinetic energy of the tides inside the planet. A similar definition applies to the stellar modified quality factor Q ' s . The 1Gyr isochrone for orbital circularisation displayed in Fig. 8 was computed with Eq. 6 in Matsumura et al. (2008) (hereafter M08) which also applies to the case of high eccentricities and assumes that tides in the planet are mainly responsible for circularising its orbit (e.g. Matsumura et al. 2010).  \nAs previously noticed by P11 and H12, but with a much smaller sample than ours (by a factor of three), this diagram clearly shows that the orbital parameters of TGPs in noncompact planetary systems are shaped by tidal interactions with their host stars. Indeed, all the TGPs with e > 0 . 1 (blue squares) have large separations a / R p /greaterorsimilar 100. The two planets with a / R p < 100, namely WASP-89b and XO-3b, have high mass ratios M p / M s > 6 · 10 -3 , as expected from tidal theory. Moreover, virtually all the TGPs with e > 0 . 1 are found on the right side of the dotted line, that is their circularisation time is longer than 1Gyr. We note that the slightly eccentric planets ( e < 0 . 1, orange triangles) with a / R p < 100 are located at the upper edge of the circular ones.  \nWe confirm the dearth of close-in circular planets with M p / M s /greaterorsimilar 4 · 10 -3 . These massive planets likely raise tides in the star strong enough for angular momentum exchange and tidal decay so that they end up being engulfed by their host star  \nFig. 7. Distributions of α = a / a R, where a R is the Roche limit, for well-determined circular orbits (solid line) and both circular orbits and undetermined eccentricities (dashed line). The impact of transit probability on the distribution for α ≤ 5 appears to be practically negligible (see text for more details).  \n<!-- image -->  \nFig. 8. Updated tidal diagram of the 231 transiting giant planets considered in this study. Empty circles show the position of giant planets with well-determined circular orbits, that is with eccentricities consistent with zero and 1 σ uncertainty σ e < 0 . 05 (planets designated with 'C' in the second column of Table 9); crosses indicate planets with undetermined eccentricities (indicated with 'U' in Table 9) that are usually consistent with zero (circular orbits) but have large uncertainties σ e > 0 . 05; orange triangles display significant but small eccentricities, i.e. e < 0 . 1; and blue squares e ≥ 0 . 1. Solid and dashed lines show the position of a planet with R p = 1 . 2 R Jup and semi-major axis a = a R and a = 2 a R, a R being the Roche limit. The dotted line displays the 1 Gyr circularisation isochrone for P = 3 d, Q ' p = 10 6 , and e = 0.  \n<!-- image -->  \n(e.g. Patzold & Rauer 2002). However, this scarcity might also be partially explained by the higher inertia of massive planets to gravitational scattering towards inner orbits and / or a less e ffi -cient formation in discs that are not massive enough.  \nIt is convenient to also consider a 'modified' tidal diagram where the circularisation isochrones do not depend on the orbital period P , by plotting P · M p / M s versus a / R p. From the aforementioned Eq. 6 in M08 (see also Goldreich & Soter 1966) we find  \nP M p M s = τ e 63 2 π 1 Q ' p ( a R p ) -5 . (1)  \nWhile the orbital period was fixed at P = 3 d for the tidal diagram in Fig. 8, we show for comparison P · M p / M s as a function of a / R p in Fig. 9 along with the 1, 7, and 14 Gyr circularisation timescales for Q ' p = 10 6 and e = 0. This 'modified' tidal diagram reveals even more evidently the same trends discussed above for the 'classical' tidal diagram thanks to the independence of the isochrones on the adopted orbital period. Like in Fig. 8, all the eccentric planets in Fig. 9 with e ≥ 0 . 1 (blue squares) are found beyond the 1 Gyr circularisation isochrone. The four TGPs with well-determined circular orbits, a / R p /greaterorsimilar 100, and P · ( M p / M s) /greaterorsimilar 0 . 01 d are CoRoT-3b, CoRoT-27b, WASP-99b, and WASP-106b, all having α > 5 (Sect. 5.4 and Fig. 7). Their circular orbits might be primordial since they lie in a region of the 'modified' tidal diagram where tidal circularisation is not expected to occur within 7 Gyr (or even 14 Gyr). We note that this part of the diagram is otherwise populated by eccentric planets (cf. Fig. 9). Therefore planets with α > 5 may have undergone disc migration instead of HEM.  \nFig. 9. 'Modified' tidal diagram of the 231 transiting giant planets considered in this study with the same symbols as in Fig. 8. The dotted, dash-dotted, and dash-three-dotted lines display the 1, 7, and 14 Gyr circularisation timescales for Q ' p = 10 6 and e = 0, respectively.  \n<!-- image -->", '5.6. Constraintsonplanetaryandstellarmodifiedtidal qualityfactors': "After identifying circular and eccentric orbits, we can estimate the upper and lower limits of Q ' p by considering a tidal constant Q ' model (e.g. Souchay et al. 2013; Ogilvie 2014). Indeed, following M08, an upper limit on Q ' p can be derived from their Eq. 7, that is from the constraint that the circularisation time must be shorter than the system (or stellar) age for circular planets ( σ e < 0 . 05), on the assumption that their orbits were initially eccentric. On the contrary, lower limits on both Q ' p and Q ' s can be derived with Eqs. 8 and 9 in M08, by imposing that the circularisation time must be longer than the system age for eccentric orbits, if we assume that the eccentricity is not presently excited by a third body in the system.  \nThese equations require the knowledge of both the stellar and planetary rotation periods. Stellar rotation periods as derived from ground-based or space-based photometry, which are reported in the seventh column of Table 7 when available, are used for approximately thirty systems. For the other systems they were estimated from the V sin i and R s assuming a stellar inclination of 90 deg, which thus provides upper limits for the true P rot when the stellar equator is not seen edge-on. This may lead to slightly overestimated lower limits of Q ' s , but this e ff ect is negligible in the vast majority of cases. Concerning the planetary spin, we assume i) perfect synchronisation for the circular planets, which is reasonable given that synchronisation times are much lower than the circularisation times (e.g. Rasio et al. 1996), and ii) pseudo-synchronisation for the eccentric systems (Hut 1981).  \nFigures 10, 11, and 12 show the upper and lower limits of Q ' p , and the lower limits of Q ' s , as a function of the semi-major axis. The large error bars are due to the propagation of the uncertainties on system ages; unconstrained values of Q ' p and Q ' s due to unconstrained ages in Table 7 (e.g. those spanning 0-14 Gyr at 1 σ ) are not shown. The lower limits of Q ' p also depend on the Q ' s values (see Eq. 8 in M08) and we adopted values of Q ' s that are ten times their lower limits: Q ' s = 10 · Q ' s , min . This explains why the variations seen in Figs. 11 and 12 are evidently correlated.  \nFig. 10. Upper limits of the planetary modified tidal quality factor Q ' p for clearly circular orbits.  \n<!-- image -->  \nFig. 11. Lower limits of the planetary modified tidal quality factor Q ' p for eccentric orbits.  \n<!-- image -->  \nHot Jupiters with orbital distances typically lower than 0.05 au have 10 5 /lessorsimilar Q ' p /lessorsimilar 10 9 , but estimates of the Q ' p lower and upper limits are inevitably a ff ected by the large uncertainties on stellar ages. The main trends in Figs. 10 and 11 seem to indicate that the closer the planet, the higher its Q ' p hence its lower internal dissipation. This is also related to the di ff erences in tidal frequencies as a function of the orbital distance. Little can be said for planets at semi-major axis a /greaterorsimilar 0 . 1 au, given the small number of systems.  \nModified tidal quality factors of stars hosting hot Jupiters with a < 0 . 05 au are generally Q ' s /greaterorsimilar 10 6 -10 7 (Fig. 12). The highest value Q ' s > 10 8 in Fig. 12 is that of the star WASP-18 whose hot Jupiter at a = 0 . 02 au ( P = 0 . 94 d) has a small but significant eccentricity: e = 0 . 0076 ± 0 . 0010. This is consistent with estimates relying on the timescales of the orbital decay of very hot Jupiters with P /lessorsimilar 1 d (e.g. Ogilvie 2014).", '6. Summary, discussion, and conclusions': "We carried out a homogeneous determination of the orbital parameters of 231 TGPs by analysing with our Bayesian DEMCMC tool both the literature RVs and the new high-accuracy  \nFig. 12. Lower limits of the modified tidal quality factor Q ' s of stars hosting eccentric planets.  \n<!-- image -->  \nand high-precision HARPS-N data we acquired for 45 TGPs orbiting relatively bright stars over ∼ 3 years. We thus produced the largest uniform catalogue of giant planet orbital and physical parameters. For several systems we combined for the first time RV datasets collected with di ff erent spectrographs by different groups thus improving the orbital solution. In general, we fitted a separate jitter term for each dataset by allowing for different values of extra noise caused by instrumental e ff ects and / or changing levels of stellar activity in di ff erent observing seasons.  \nThis way, we uniformly derived the orbital eccentricities of TGPs that represent a fundamental imprint of their migration history. We detected for the first time a significant eccentricity for HAT-P-29b. On the contrary, our results do not confirm any significant eccentricity for five planets that were previously regarded to be eccentric or to have hints of non-zero eccentricity, namely CoRoT-2b, CoRoT-23b, TrES-3b, HAT-P-23b, and WASP-54b. In particular, our results favour a circular orbit for CoRoT-2b and TrES-3b.  \nLimiting ourselves to the 45 systems we monitored with HARPS-N, we confirm the RV long-term linear trends for three of them, HAT-P-4, HAT-P-7, and WASP-11, with the same slope as previously found (Knutson et al. 2014). We report the first evidence of a curvature in the RV residuals of HAT-P-2, HAT-P22, and HAT-P-29, and derived constraints on their long-period companions from RV data only. Moreover, our HARPS-N measurements allowed us to refine significantly the orbital solution of HAT-P-17c, the outer planetary companion of HAT-P-17b, thanks to the extended orbital coverage.  \nOur tidal diagrams clearly show how the orbital parameters of TGPs in non-compact planetary systems are shaped by tides raised by their host stars. Indeed, the most eccentric planets have either relatively large orbital separations and / or high mass ratios, as expected from the equilibrium tide theory. This feature would be the outcome of planetary migration from highly eccentric orbits that were originally produced by planet-planet scattering, Kozai-Lidov perturbations, or secular chaos.  \nThe α = a / a R distribution showing that only ∼ 4% of circular TGPs have a < 2 a R agrees with the theoretical prediction by the HEM that the final distances of circularised orbits must be a ≥ 2 a R (e.g. Faber et al. 2005). The handful of TGPs with a < 2 a R may also be explained in the framework of the HEM by considering the e ff ect of tidal decay driven by tidal dissipation  \ninside the star, which may account for even the lowest observed α ∼ 1 . 2 value (Valsecchi & Rasio 2014). The condition a > 2 a R, however, may not be a peculiar imprint of the HEM and, for instance, could also be reproduced by migration in the disc that was stopped because of truncation of the inner disc by magnetic fields (e.g. Lin et al. 1996). The derived α distribution peaking at 2.5 represents an important observational constraint that theoretical models of planet migration must be able to reproduce. The planets of our sample with circular orbits and relatively large α ( > 5) values, namely CoRoT-3b, CoRoT-27b, WASP-99b, and WASP-106b, seem to deviate from the inner α distribution. They have circular orbits although their circularisation timescale (in case of a non-zero eccentricity) is longer than ∼ 7 -14 Gyr. This would indicate that their circular orbits are likely primordial, that is they presumably migrated through disc-planet interactions, which tend to damp any small eccentricity, instead of HEM.  \nAs previously discussed, strong evidence for disc migration is mainly provided by the discovery of giant planets around very young stars and in compact systems. In addition, Dawson et al. (2015) found a paucity of super-eccentric proto-hot Jupiters 3 among the Kepler sample that seems to be inconsistent with the theoretical predictions of HEM by Socrates et al. (2012b). However, alternative explanations of this dearth are also possible in the context of HEM, for instance if gravitational scattering of giant planets occurs during migration of type II inside the water-ice line (see, e.g. Marzari et al. 2010; Guillochon et al. 2011, and Sect. 4 in Dawson et al. 2015). This may also reconcile the HEM with the apparently inconsistent occurrence of planetary companions of hot Jupiters inside the water-ice line (Schlaufman & Winn 2016). In any case, it is di ffi cult to explain the general properties of the tidal diagrams shown in Figs. 8 and 9 and discussed in Sect. 5.5, in terms of migration in the disc alone given that disc-planet interactions may only excite modest eccentricities e < 0 . 1 (Du ff ell & Chiang 2015).  \nWe estimated upper and lower limits of the planetary modified tidal quality factors Q ' p and found that high values (up to 10 7 -10 9 ) are required to explain the presence of the closest giant planets with a < 0 . 05 au. These high values of Q ' p are in agreement with the predicted very low internal dissipation in massive planets with a small core (Goodman & Lackner 2009). On the other hand, currently large Q ' p are not necessarily at variance with the values required for the circularisation of very eccentric initial orbits as assumed by HEM (10 5 < ∼ Q ' p < ∼ 5 × 10 6 , cf. Naoz et al. 2011; Socrates et al. 2012a). This happens because Q ' p is a function of the tidal frequency and it is ill-defined in the case of highly eccentric orbits. In such a case, tidal dissipation is a highly non-sinusoidal function of the time strongly peaked around periastron so that an impulse approximation is much more adequate for its description (cf. Nagasawa et al. 2008; Ogilvie 2014). Moreover, we lack observational constraints on the initial orbital and planetary parameters and on the duration of the circularisation process because young hot Jupiters are very di ffi cult to discover and confirm owing to the high level of stellar activity. This inevitably makes any estimate of the tidal dissipation rate during HEM uncertain.  \nStellar modified tidal quality factors Q ' s /greaterorsimilar 10 6 -10 7 were found for stars with eccentric planets at short orbital distances a < 0 . 05 au. This range is consistent with that estimated from tidal evolution calculations for a few individual systems  \nsuch as OGLE-TR-56b (Carone & Patzold 2007) and CoRoT11b (Lanza et al. 2011b), and with the results by Hansen (2012). Tidal evolution models for the population of hot Jupiters as computed by Jackson et al. (2008, 2009) are also in general agreement with 10 6 < ∼ Q ' s < ∼ 10 7 , but our ignorance of the initial conditions of the close giant planet population ultimately hampers any possibility of precisely estimating Q ' s . We note that our values are also in general agreement with those theoretically expected in the case of stars hosting hot Jupiters according to the dynamic tide theory in Ogilvie & Lin (2007) that may account for the di ff erences in the estimated Q ' s between close stellar binary systems and star-planet systems.  \nOur catalogue will be updated at the end of our survey by including new HARPS-N data, additional constraints from future secondary eclipse observations, and newly discovered giant planets, among which those announced in 2016, as these are detected by ground-based and space-based transit surveys. To this end, we stress the importance of collecting for each new system not only the RV data that are required for the confirmation of its planetary nature, but also - when possible - su ffi cient and precise enough RV measurements that permit an accurate determination of its orbital parameters and, specifically, its eccentricity. Indeed, almost half of the TGPs in our sample have undetermined eccentricities.  \nWe point out that di ff erent methods are currently used to determine stellar, hence planetary, parameters (mass, radius, and age) such as stellar evolutionary tracks, empirical relations, or gyrochronologyrelations for stellar ages; sometimes, the last are then used as priors in stellar models. Although we used system ages estimated from evolutionary tracks (and recomputed them when only gyrochronologic estimates were available from the literature; see Sect. 4), a homogeneous determination of stellar parameters may also be very useful to get a uniform catalogue of stellar and planetary parameters. However, this goes beyond the scope of the present work. 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Latham for providing us with the corrected and new radialvelocity measurements of Qatar-2 that were gathered with the TRES spectrograph on the 1.5 m Tillinghast Reflector at the Fred L. Whipple Observatory, Arizona. GAPS acknowledges support from INAF (Italian National Institute of Astrophysics) through the 'Progetti Premiali' funding scheme of the Italian Ministry of Education, University, and Research. A.S.B., L.A., and L.M. acknowledge funding from the European Union Seventh Framework programme (FP7 / 2007-2013) under grant agreement No. 313014 (ETAEARTH). G.S. acknowledges financial support from 'Accordo ASI-INAF' n. 2013-016-R.0 July 9, 2013. We acknowledge the use of e-infrastructure and support provided by IA2 (Italian Center for Astronomical Archives) of INAF - http: // ia2.inaf.it.  \nTable 5. Summary of the radial-velocity data used in the present work. The number of the HARPS-N RVs in the third column, N RV H-N, only refers to the 45 systems that we monitored. 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(81) Winn et al. 2009a; (82) Bouchy et al. 2005b; (83) Winn et al. 2006; (84) Boisse et al. 2009; (85) Naef et al. 2004; (86) Butler et al. 2006; (87) Naef et al. 2001; (88) Winn et al. 2009b; (89) Moutou et al. 2009; (90) Beatty et al. 2012; (91) Pepper et al. 2013; (92) Collins et al. 2014; (93) Damasso et al. 2015b; (94) Fulton et al. 2015; (95) Koch et al. 2010; (96) Dunham et al. 2010; (97) Latham et al. 2010; (98) Jenkins et al. 2010; (99) Fortney et al. 2011; (100) Endl et al. 2011; (101) D'esert et al. 2011; (102) Bonomo et al. 2012; (103) Bouchy et al. 2011; (104) Santerne et al. 2011b; (105) Santerne et al. 2011a; (106) Endl et al. 2014; (107) Johnson et al. 2012; (108) H'ebrard et al. 2013a; (109) Faigler et al. 2013; (110) Gandolfi et al. 2013; (111) Deleuil et al. 2014; (112) Dawson et al. 2014; (113) Gandolfi et al. 2015; (114) H'ebrard et al. 2014; (115) Quinn et al. 2015; (116) Ortiz et al. 2015; (117) Ciceri et al. 2015; (118) Almenara et al. 2015; (119) Bouchy et al. 2005a; (120) Konacki et al. 2005; (121) Torres et al. 2004; (122) Pont et al. 2005; (123) Konacki et al. 2004; (124) Pont et al. 2005; (125) Bouchy et al. 2004; (126) Pont et al. 2008; (127) Udalski et al. 2008; (128) Covino et al. 2013; (129) Bryan et al. 2012; (130) Alonso et al. 2004; (131) Sozzetti et al. 2009; (132) Sozzetti et al. 2015; (133) Mandushev et al. 2011; (134) Collier Cameron et al. 2007; (135) Simpson et al. 2011c; (136) Mandushev et al. 2011; (137) Pollacco et al. 2008; (138) Wilson et al. 2008; (139) Anderson et al. 2008; (140) Gillon et al. 2009; (141) Hellier et al. 2009b; (142) Queloz et al. 2010; (143) Christian et al. 2009; (144) West et al. 2009b; (145) Mancini et al. 2015a; (146) Husnoo et al. 2011; (147) Skillen et al. 2009; (148) Joshi et al. 2009; (149) West et al. 2009a; (150) Lister et al. 2009; (151) Brown et al. 2012a; (152) Anderson et al. 2010; (153) Hellier et al. 2009a; (154) Triaud et al. 2010; (155) Hebb et al. 2010; (156) Hellier et al. 2011b; (157) Anderson et al. 2015; (158) Bouchy et al. 2010; (159) Maxted et al. 2010b; (160) Triaud et al. 2011; (161) Street et al. 2010; (162) Enoch et al. 2011b; (163) Smalley et al. 2010; (164) Anderson et al. 2011b; (165) Hellier et al. 2010; (166) Anderson et al. 2011c; (167) Maxted et al. 2010a; (168) Smalley et al. 2011; (169) Smith et al. 2012a; (170) Simpson et al. 2011b; (171) Faedi et al. 2011; (172) Maxted et al. 2011; (173) Lendl et al. 2012; (174) Hellier et al. 2011a; (175) Anderson et al. 2012; (176) Gillon et al. 2011; (177) H'ebrard et al. 2013b; (178) Faedi et al. 2013; (179) Hellier et al. 2012; (180) Gillon et al. 2013; (181) G'omez Maqueo Chew et al. 2013; (182) Delrez et al. 2014; (183) Anderson et al. 2014; (184) Smith et al. 2013; (185) Hellier et al. 2015; (186) Maxted et al. 2013a; (187) Smalley et al. 2012; (188) Triaud et al. 2013; (189) Neveu-VanMalle et al. 2014; (190) Hellier et al. 2014; (191) Gillon et al. 2014; (192) Smith et al. 2014; (193) Lendl et al. 2014; (194) Birkby et al. 2014; (195) McCullough et al. 2006; (196) Burke et al. 2007; (197) Damasso et al. 2015a; (198) H'ebrard et al. 2008; (199) Hirano et al. 2011; (200) Narita et al. 2010; (201) Burke et al. 2008; (202) P'al et al. 2009;  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 6. Priors on orbital periods, and transit and occultation midtimes from ground-based and / or space-based photometry.  \n±  \n±  \nTable 6. continued.  \n±  \n±  \nTable 6. continued.  \n±  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 6. continued.  \n±  \n±  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 6. continued.  \n±  \n±  \nReferences. 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Hellier et al. 2014; (190) Southworth et al. 2015a; (191) Smith et al. 2014; (192) Lendl et al. 2014; (193) Birkby et al. 2014; (194) Burke et al. 2010; (195) Machalek et al. 2008; (196) Damasso et al. 2015a; (197) Machalek et al. 2009; (198) Wong et al. 2014; (199) Smith 2014.  \nn  \ni  \ns  \nr  \ne  \nt  \ne  \nm  \na  \nr  \na  \np  \nl  \na  \nt  \ni  \nb  \nr  \no  \ne  \nh  \nt  \nh  \nt  \ni  \nw  \ng  \nn  \no  \nl  \na  \n,  \nd  \ne  \ns  \nu  \ne  \nr  \ne  \nw  \nt  \na  \nh  \nt  \ns  \nr  \ne  \nt  \ne  \nm  \na  \nr  \na  \np  \nm  \ne  \nt  \ns  \ny  \nS  \n.  \n7  \ne  \nl  \nb  \na  \nT  \n28  \nt  \nn  \na  \ni  \ng  \ng  \nn  \ni  \nt  \ni  \ns  \nn  \na  \nr  \nt  \n1  \n3  \n2  \ne  \nh  \nt  \nf  \no  \ny  \nt  \ni  \nv  \na  \nr  \ng  \ne  \nc  \na  \nf  \nr  \nu  \ns  \nd  \nn  \na  \n,  \ny  \nt  \ni  \ns  \nn  \ne  \nd  \n,  \ns  \ns  \na  \nm  \ne  \nh  \nt  \ne  \nt  \na  \nd  \np  \nu  \no  \nt  \n,  \n8  \ne  \nl  \nb  \na  \nT  \ne  \nh  \nt  \nm  \no  \nr  \nf  \nn  \ne  \nk  \na  \nt  \ne  \nr  \na  \nm  \ne  \nh  \nt  \nf  \no  \ny  \nt  \ni  \nr  \no  \nj  \na  \nm  \nt  \ns  \na  \nv  \ne  \nh  \nT  \n.  \n)  \n9  \ne  \nl  \nb  \na  \nT  \ne  \ne  \ns  \n(  \ne  \nl  \np  \nm  \na  \ns  \nr  \nu  \no  \nn  \ni  \ns  \nt  \ne  \nn  \na  \nl  \np  \nm  \ne  \nt  \ns  \ny  \nS  \ne  \nc  \nn  \ne  \nr  \ne  \nf  \ne  \nR  \n1  \nk  \nr  \no  \nw  \ns  \ni  \nh  \nt  \n,  \n1  \n0  \n3  \n5  \n,  \n4  \n,  \n3  \n,  \n2  \n2  \n4  \n6  \n0  \n7  \n7  \n5  \n5  \n8  \n6  \n7  \nBonomo et al. 2017: Investigating giant planet migration history  \n0  \n1  \n,  \n9  \n5  \n3  \n1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 5 2 6 2 7 2 7 2 8 2 9 2 8  \n0  \n2  \n5  \n3  \n0  \n7  \n0  \n3  \n3  \n1  \n0  \n7  \n0  \n7  \n8  \n3  \n0  \n4  \n4  \n3  \n0  \n0  \n4  \n4  \n6  \n6  \n6  \n5  \n3  \n3  \n3  \n9  \n8  \n2  \n9  \n0  \n8  \n2  \n1  \n6  \n0  \n3  \n1  \n6  \n3  \n3  \n,  \n2  \n3  \n,  \n1  \n3  \n0  \n2  \n4  \n3  \n0  \n7  \n5  \n3  \n0  \n6  \n6  \n3  \n9  \n1  \n7  \n3  \n9  \n7  \n8  \n3  \n2  \n5  \n9  \n3  \n3  \n4  \n0  \n4  \n6  \n6  \n1  \n4  \n9  \n2  \n2  \n4  \n2  \n5  \n3  \n4  \n,  \n2  \n4  \n2  \n7  \n0  \n.  \n0  \n±  \n4  \n4  \n3  \n3  \n0  \n.  \n0  \n±  \n±  \n2  \n3  \n1  \n.  \n1  \n0  \n4  \n.  \n0  \n±  \n7  \n6  \n8  \n.  \n0  \n0  \n2  \n.  \n0  \n±  \n±  \n0  \n2  \n.  \n8  \n8  \n2  \n.  \n5  \n-  \n0  \n8  \n.  \n6  \n8  \n7  \n.  \n5  \n+  \n±  \n8  \n.  \n8  \n5  \n.  \n2  \n±  \n5  \n.  \n5  \n3  \n0  \n5  \n.  \n0  \n±  \n±  \n0  \n7  \n.  \n0  \n0  \n8  \n0  \n.  \n0  \n±  \n±  \n0  \n3  \n2  \n.  \n0  \n0  \n3  \n1  \n±  \n±  \n0  \n9  \n9  \n4  \n8  \n4  \n0  \n.  \n0  \n±  \n8  \n.  \n3  \n5  \n9  \n5  \n4  \n1  \n2  \n0  \n.  \n0  \n±  \n0  \n2  \n8  \n.  \n0  \n2  \n4  \n0  \n.  \n0  \n±  \n±  \n4  \n9  \n6  \n.  \n0  \n8  \n2  \n0  \n.  \n0  \n±  \n2  \n4  \n8  \n.  \n0  \n9  \n1  \n-  \nP  \n-  \nT  \nA  \nH  \n±  \n6  \n5  \n7  \n.  \n0  \n0  \n2  \n-  \nP  \n-  \nT  \nA  \nH  \n4  \n0  \n3  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n7  \ne  \nl  \nb  \na  \nT  \nm  \ne  \nt  \ns  \ny  \nS  \np  \nR  \np  \ni  \ne  \ng  \nA  \nt  \no  \nr  \nP  \ni  \nn  \ni  \ns  \nV  \n]  \nH  \n/  \ne  \nF  \n[  \nff  \ne  \nT  \ns  \nR  \ns  \nM  \nm  \ne  \nt  \ns  \ny  \nS  \nBonomo et al. 2017: Investigating giant planet migration history  \ne  \nc  \nn  \ne  \nr  \ne  \nf  \ne  \nR  \n]  \nR  \n[  \n]  \ng  \ne  \nd  \n[  \n]  \nr  \ny  \nG  \n[  \n]  \ns  \ny  \na  \nd  \n[  \n]  \n1  \n-  \ns  \nm  \nk  \n[  \nx  \ne  \nd  \n]  \nK  \n[  \n]  \nR  \n[  \n]  \nM  \n[  \n6  \n7  \n4  \n6  \n0  \n.  \n0  \n+  \n0  \n5  \n0  \n.  \n0  \n7  \n7  \n2  \n7  \n0  \n.  \n0  \n-  \n0  \n9  \n2  \n.  \n1  \n0  \n.  \n1  \n+  \n±  \n5  \n4  \n3  \n.  \n1  \n5  \n6  \n3  \n.  \n.  \n0  \n1  \n+  \n-  \n6  \n.  \n8  \n8  \n1  \n0  \n.  \n0  \n8  \n5  \n.  \n0  \n-  \n3  \n2  \n.  \n4  \n8  \n0  \n2  \n.  \n0  \n±  \n7  \n9  \n.  \n3  \n-  \n0  \n.  \n2  \n±  \n0  \n0  \n.  \n3  \n-  \n0  \n5  \n.  \n0  \n±  \n±  \n0  \n.  \n9  \n7  \n7  \n0  \n.  \n0  \n0  \n2  \n.  \n0  \n1  \n0  \n8  \n0  \n.  \n0  \n±  \n4  \n3  \n0  \n.  \n0  \n8  \n4  \n±  \n0  \n4  \n0  \n.  \n0  \n0  \n5  \n±  \n8  \n4  \n1  \n6  \n0  \n7  \n0  \n.  \n0  \n+  \n4  \n±  \n8  \n0  \n3  \n6  \n5  \n3  \n6  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n8  \n2  \n8  \n.  \n1  \n8  \n2  \n0  \n.  \n0  \n+  \n5  \n+  \n2  \n6  \n0  \n.  \n0  \n2  \n7  \n4  \n.  \n1  \n3  \n2  \n6  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n8  \n0  \n3  \n.  \n1  \nA  \n2  \n-  \nT  \nL  \nE  \nK  \n+  \n1  \n6  \n0  \n.  \n0  \n-  \n8  \n7  \n2  \n.  \n1  \n3  \n-  \nT  \nL  \nE  \nK  \n29  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n7  \ne  \nl  \nb  \na  \nT  \n30  \nm  \ne  \nt  \ns  \ny  \nS  \np  \nR  \np  \ni  \ne  \ng  \nA  \nt  \no  \nr  \nP  \ni  \nn  \ni  \ns  \nV  \n]  \nH  \n/  \ne  \nF  \n[  \nff  \ne  \nT  \ns  \nR  \ns  \nM  \nm  \ne  \nt  \ns  \ny  \nS  \ne  \nc  \nn  \ne  \nr  \ne  \nf  \ne  \nR  \n]  \nR  \n[  \n]  \ng  \ne  \nd  \n[  \n]  \nr  \ny  \nG  \n[  \n]  \ns  \ny  \na  \nd  \n[  \n]  \n1  \n-  \ns  \nm  \nk  \n[  \nx  \ne  \nd  \n]  \nK  \n[  \n]  \nR  \n[  \n]  \nM  \n[  \nBonomo et al. 2017: Investigating giant planet migration history  \n2  \n8  \n2  \n0  \n8  \n0  \n.  \n0  \n+  \n0  \n1  \n7  \n3  \n4  \n8  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n1  \n7  \n0  \n.  \n1  \n5  \n3  \n.  \n0  \n+  \n±  \n6  \n1  \n4  \n.  \n1  \n9  \n7  \n3  \n.  \n2  \n.  \n0  \n0  \n-  \n1  \n8  \n.  \n4  \n8  \n0  \n.  \n7  \n±  \n2  \n7  \n.  \n3  \n8  \n2  \n.  \n1  \n±  \n0  \n.  \n7  \n-  \n0  \n5  \n.  \n0  \n±  \n1  \n.  \n2  \n-  \n5  \n.  \n1  \n±  \n±  \n0  \n9  \n.  \n0  \n0  \n2  \n.  \n0  \n4  \n.  \n3  \n1  \n0  \n2  \n.  \n0  \n±  \n0  \n1  \n.  \n0  \n0  \n0  \n2  \n±  \n0  \n0  \n.  \n0  \n0  \n0  \n1  \n±  \n0  \n0  \n2  \n5  \n2  \n6  \n0  \n.  \n0  \n+  \n±  \n0  \n0  \n4  \n6  \n4  \n5  \n4  \n6  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n0  \n4  \n8  \n.  \n0  \n2  \n1  \n.  \n0  \n±  \n6  \n6  \n3  \n.  \n1  \n0  \n0  \n1  \n.  \n0  \n±  \n9  \n8  \n.  \n0  \n2  \n-  \nP  \nS  \nA  \nW  \n±  \n0  \n6  \n2  \n.  \n1  \n3  \n-  \nP  \nS  \nA  \nW  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n7  \ne  \nl  \nb  \na  \nT  \nm  \ne  \nt  \ns  \ny  \nS  \np  \nR  \np  \ni  \ne  \ng  \nA  \nt  \no  \nr  \nP  \ni  \nn  \ni  \ns  \nV  \n]  \nH  \n/  \ne  \nF  \n[  \nff  \ne  \nT  \ns  \nR  \ns  \nM  \nm  \ne  \nt  \ns  \ny  \nS  \ne  \nc  \nn  \ne  \nr  \ne  \nf  \ne  \nR  \n]  \nR  \n[  \n]  \ng  \ne  \nd  \n[  \n]  \nr  \ny  \nG  \n[  \n]  \ns  \ny  \na  \nd  \n[  \n]  \n1  \n-  \ns  \nm  \nk  \n[  \nx  \ne  \nd  \n]  \nK  \n[  \n]  \nR  \n[  \n]  \nM  \n[  \nBonomo et al. 2017: Investigating giant planet migration history  \nk  \nr  \no  \nw  \ns  \ni  \nh  \nt  \n,  \n6  \n4  \n1  \n0  \n2  \n.  \n0  \n2  \nk  \nr  \no  \nw  \ns  \ni  \nh  \nt  \n,  \n6  \n4  \n1  \n8  \n6  \n0  \n.  \n0  \n±  \n7  \n3  \n.  \n1  \n5  \n.  \n1  \n2  \nk  \nr  \no  \nw  \ns  \ni  \nh  \nt  \n,  \n6  \n4  \n1  \n2  \n1  \n.  \n0  \n±  \n±  \n5  \n7  \n7  \n.  \n0  \n2  \n5  \n.  \n0  \n±  \n4  \n.  \n7  \n8  \n0  \n1  \n.  \n2  \n6  \n8  \n.  \n0  \n6  \n.  \n1  \n±  \n±  \n7  \n2  \n.  \n9  \n8  \n0  \n.  \n7  \n-  \n0  \n8  \n.  \n2  \n1  \n-  \n0  \n9  \n.  \n0  \n9  \n.  \n7  \n8  \n7  \n.  \n1  \n+  \n±  \n0  \n.  \n7  \n-  \n5  \n.  \n1  \n±  \n±  \n0  \n8  \n.  \n2  \n0  \n9  \n0  \n.  \n0  \n3  \n.  \n2  \n1  \n1  \n.  \n0  \n±  \n0  \n5  \n4  \n.  \n0  \n±  \n5  \n1  \n.  \n0  \n-  \n-  \n0  \n5  \n1  \n0  \n5  \n1  \n±  \n0  \n0  \n8  \n5  \n3  \n1  \n.  \n0  \n±  \n0  \n5  \n6  \n4  \n4  \n4  \n0  \n.  \n0  \n±  \n7  \n1  \n.  \n1  \n0  \n0  \n1  \n.  \n0  \n±  \n3  \n1  \n6  \n.  \n0  \n5  \n3  \n0  \n.  \n0  \n4  \n1  \n.  \n1  \n5  \n3  \n0  \n.  \n0  \n±  \n±  \n0  \n4  \n9  \n.  \n0  \n8  \n5  \n-  \nP  \nS  \nA  \nW  \n9  \n1  \n7  \n.  \n0  \n9  \n5  \n-  \nP  \nS  \nA  \nW  \n±  \n8  \n7  \n0  \n.  \n1  \n0  \n6  \n-  \nP  \nS  \nA  \nW  \n31  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n7  \ne  \nl  \nb  \na  \nT  \n32  \nm  \ne  \nt  \ns  \ny  \nS  \np  \nR  \np  \ni  \ne  \ng  \nA  \nt  \no  \nr  \nP  \ni  \nn  \ni  \ns  \nV  \n]  \nH  \n/  \ne  \nF  \n[  \nff  \ne  \nT  \ns  \nR  \ns  \nM  \nm  \n1  \n-  \n1  \n6  \n-  \nP  \n2  \n6  \n-  \nP  \n3  \n6  \n-  \nP  \n4  \n6  \n-  \nP  \n5  \n6  \n-  \nP  \n6  \n6  \n-  \nP  \n7  \n6  \n-  \nP  \n8  \n6  \n-  \nP  \n9  \n6  \n-  \nP  \nA  \n0  \n7  \n-  \nP  \n1  \n7  \n-  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \nA  \n7  \n7  \n-  \nP  \nA  \n4  \n9  \n-  \nP  \n2  \n7  \n-  \nP  \n3  \n7  \n-  \nP  \n4  \n7  \n-  \nP  \n5  \n7  \n-  \nP  \n8  \n7  \n-  \nP  \n9  \n7  \n-  \nP  \n0  \n8  \n-  \nP  \n3  \n8  \n-  \nP  \n4  \n8  \n-  \nP  \n8  \n8  \n-  \nP  \n9  \n8  \n-  \nP  \n5  \n9  \n-  \nP  \n6  \n9  \n-  \nP  \n7  \n9  \n-  \nP  \n8  \n9  \n-  \nP  \n9  \n9  \n-  \nP  \n2  \n-  \nN  \nd  \ne  \nt  \nr  \no  \np  \ne  \n.  \n0  \n0  \n1  \n-  \nP  \n1  \n0  \n1  \n-  \nP  \n3  \n0  \n1  \n-  \nP  \n4  \n0  \n1  \n-  \nP  \n6  \n0  \n1  \n-  \nP  \n7  \n1  \n1  \n-  \nP  \nn  \ni  \nd  \nn  \no  \np  \nm  \ne  \nt  \nw  \ne  \ng  \na  \nReferences. 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al. 2014; (154) Smith et al. 2013; (155) Hellier et al. 2015; (156) Maxted et al. 2013a; (157) Smalley et al. 2012; (158) Triaud et al. 2013; (159) Neveu-VanMalle et al. 2014; (160) Hellier et al. 2014; (161) Gillon et al. 2014; (162) Smith et al. 2014; (163) Lendl et al. 2014; (164) Birkby et al. 2014; (165) Damasso et al. 2015a; (166) Zellem et al. 2015; (167) Winn et al. 2008; (168) McCullough et al. 2008; (169) P'al et al. 2009;  \n-  \nn  \na  \nr  \nt  \ne  \nh  \nt  \nl  \nl  \na  \nr  \no  \nf  \ns  \nd  \nn  \ne  \nr  \nt  \nd  \nn  \na  \n,  \ns  \ne  \nd  \nu  \nt  \ni  \nl  \np  \nm  \na  \n-  \ni  \nm  \ne  \ns  \nV  \nR  \n,  \ns  \ne  \ni  \nt  \ni  \nc  \ni  \nr  \nt  \nn  \ne  \nc  \nc  \ne  \nd  \ne  \nv  \ni  \nr  \ne  \nD  \n.  \n8  \ne  \nl  \nb  \na  \nT  \n34  \ne  \nr  \na  \ns  \nt  \ni  \nm  \ni  \nl  \nr  \ne  \np  \np  \nu  \nσ  \n2  \nd  \nn  \na  \nσ  \n1  \ne  \nh  \nt  \nh  \nt  \no  \nB  \n.  \ny  \nd  \nu  \nt  \ns  \ns  \ni  \nh  \nt  \nn  \ni  \nd  \ne  \nr  \ne  \nd  \ni  \ns  \nn  \no  \nc  \ns  \nt  \ne  \nn  \na  \nl  \np  \nt  \nn  \na  \ni  \ng  \ng  \nn  \ni  \nt  \ni  \ns  \n'  \nU  \n'  \nd  \nn  \na  \n,  \n'  \nE  \n'  \n,  \n'  \nC  \n'  \ns  \nr  \ne  \nt  \nt  \ne  \nl  \ng  \na  \nfl  \ne  \nh  \nT  \n.  \no  \nr  \ne  \nz  \nh  \nt  \ni  \nw  \nt  \nn  \ne  \nt  \ns  \ni  \ns  \nn  \no  \nc  \ns  \ne  \ni  \nt  \ni  \nc  \ni  \nr  \nt  \nn  \ne  \nc  \nc  \ne  \nr  \no  \nf  \nn  \ne  \nv  \ni  \ng  \n-  \nc  \ne  \nr  \ne  \nh  \nt  \ni  \ne  \nn  \nr  \ne  \nc  \nn  \no  \nc  \nt  \ns  \na  \nl  \ne  \nh  \nt  \n(  \ns  \nt  \ni  \nb  \nr  \no  \nd  \ne  \nn  \ni  \na  \nr  \nt  \ns  \nn  \no  \nc  \nn  \nu  \nd  \nn  \na  \n,  \nc  \ni  \nr  \nt  \nn  \ne  \nc  \nc  \ne  \n,  \nr  \na  \nl  \nu  \nc  \nr  \ni  \nc  \nr  \no  \nf  \nd  \nn  \na  \nt  \ns  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n2  \n9  \n.  \n.  \n1  \n1  \n+  \n-  \n3  \n.  \n7  \n.  \n9  \n1  \n+  \n-  \n3  \n1  \n.  \n1  \n1  \n-  \n6  \n.  \n1  \n+  \n5  \n.  \n4  \n-  \n+  \n9  \n.  \n4  \n3  \nV  \nR  \nU  \nC  \n0  \n.  \n4  \n-  \n4  \n.  \n1  \n9  \n.  \n8  \n-  \n7  \n.  \n9  \n4  \n3  \n0  \n0  \n.  \n0  \n+  \n3  \n3  \n0  \n0  \n.  \n0  \n-  \n3  \n2  \n2  \n0  \n.  \n0  \n-  \n1  \n<  \n1  \n.  \n9  \n<  \n2  \n1  \n.  \n0  \n+  \n1  \n1  \n.  \n0  \n-  \n3  \n0  \n.  \n1  \n-  \nBonomo et al. 2017: Investigating giant planet migration history  \n.  \n0  \n1  \n-  \n4  \n1  \n+  \n0  \n4  \n-< 2 6 . 0 -< 1 0 . 5 -< 2 . 7 -< 1 5 . 8 -< 2 . 9 -< 3 . 4 -< 1 0 . 7 -< 2 3 . 3 -< 6 . 9 -< 4 . 7 -< 2 4 . 3 -< 7 . 0 -< 2 6 . 3 -< 3 5 . 0 -< 6 . 7 -< 9 . 2 -< 7 7 . 3 -< 1 3 . 0  \n0  \n.  \n4  \n1  \n<  \n-  \n9  \n.  \n8  \n<  \n-  \n6  \n.  \n4  \n1  \n<  \n-  \n3  \n.  \n5  \n<  \n-  \n3  \n.  \n6  \n<  \n-  \n9  \n.  \n1  \n+  \n7  \n.  \n6  \n.  \n1  \n1  \n-  \n9  \n.  \n6  \n-  \n3  \n.  \n2  \n+  \n2  \n+  \n4  \n.  \n1  \n-  \n6  \n.  \n3  \n1  \n5  \n3  \n0  \n0  \n.  \n0  \n+  \n7  \n3  \n0  \n0  \n.  \n0  \n-  \n4  \n1  \n7  \n0  \n.  \n0  \n6  \n.  \n.  \n2  \n1  \n-  \n7  \n-  \n.  \n0  \n2  \n1  \n8  \n1  \n0  \n.  \n0  \n-  \n+  \n+  \n5  \n.  \n1  \n-  \n9  \n.  \n1  \n1  \n2  \n4  \n2  \n0  \n2  \n0  \n2  \n.  \n0  \n0  \n.  \n0  \n+  \n-  \n5  \n3  \n0  \n.  \n0  \n-  \n7  \n6  \n0  \n0  \n0  \n.  \n0  \n-  \n6  \n4  \n0  \n0  \n.  \n0  \n-  \n3  \n0  \n0  \n0  \n.  \n0  \n-  \n1  \n1  \n0  \n0  \n.  \n0  \n+  \n6  \n1  \n0  \n0  \n.  \n0  \n-  \n3  \n±  \n1  \n6  \n1  \n0  \n0  \n.  \n0  \n-  \n-  \n)  \n5  \n6  \n0  \n.  \n0  \n<  \n(  \n4  \n4  \n0  \n.  \n0  \n<  \nC  \nb  \n6  \n-  \nP  \n-  \nT  \nA  \nH  \n-  \n)  \n2  \n1  \n0  \n.  \n0  \n<  \n(  \n0  \n4  \n0  \n0  \n.  \n0  \n<  \nC  \nb  \n7  \n-  \nP  \n-  \nT  \nA  \nH  \n0  \n0  \n0  \n.  \n0  \n-  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \n1  \n6  \n.  \n.  \n2  \n5  \n-  \n+  \n3  \n.  \n3  \n7  \n.  \n-  \n9  \n.  \n8  \n-  \n6  \n.  \n4  \n.  \n5  \n2  \n-  \n+  \n7  \n5  \n<  \n-  \n5  \n.  \n.  \n5  \n4  \n-  \n2  \n.  \n8  \n2  \n1  \n2  \n9  \n5  \n2  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n+  \n3  \n+  \n6  \n.  \n3  \n-  \n2  \n.  \n7  \n2  \n2  \n8  \n2  \n2  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n0  \n0  \n0  \n.  \n0  \n-  \n7  \n1  \n2  \n1  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n+  \n6  \n1  \n0  \n.  \n0  \n+  \n2  \n3  \n0  \n.  \n0  \n0  \n6  \n0  \n.  \n0  \n-  \n-  \n6  \n3  \n0  \n.  \n0  \n-  \n3  \n0  \n0  \n.  \n0  \n-  \n-  \n)  \n2  \n8  \n0  \n.  \n0  \n<  \n(  \n0  \n3  \n0  \n.  \n0  \n<  \nC  \nb  \n2  \n5  \n-  \nP  \n-  \nT  \nA  \nH  \n±  \n1  \n2  \n0  \n.  \n0  \n-  \n-  \n-  \n)  \n5  \n4  \n1  \n.  \n0  \n¡  \n(  \n5  \n8  \n0  \n.  \n0  \n¡  \nU  \nb  \n3  \n5  \n-  \nP  \n-  \nT  \nA  \nH  \n35  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \n36  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \n4  \n3  \n2  \n2  \n+  \n-  \n2  \n.  \n5  \n1  \n<  \n-  \n2  \n2  \n1  \n.  \n6  \n<  \n-  \n3  \n.  \n5  \n-  \n7  \n0  \n3  \n7  \n2  \n5  \n1  \n0  \n.  \n0  \n.  \n0  \n0  \n+  \n-  \n1  \n±  \n9  \n.  \n1  \n7  \n8  \n6  \n3  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n1  \n0  \n0  \n.  \n0  \n-  \n6  \n3  \n2  \n1  \n0  \n.  \n0  \n.  \n0  \n0  \n+  \n-  \n9  \n0  \n3  \n3  \n0  \n.  \n0  \n.  \n0  \n0  \n-  \n6  \n1  \n0  \n.  \n0  \n+  \n6  \n8  \n0  \n.  \n0  \n8  \n0  \n0  \n.  \n0  \n-  \n)  \n9  \n1  \n.  \n0  \n<  \n(  \n9  \n7  \n0  \n.  \n0  \n<  \nU  \nb  \n7  \n7  \n-  \nr  \ne  \nl  \np  \ne  \nK  \n-  \n+  \n4  \n.  \n1  \n-  \n-  \n)  \n7  \n1  \n.  \n0  \n<  \n(  \n4  \n9  \n0  \n0  \n.  \n0  \n-  \n8  \n7  \n0  \n.  \n0  \n<  \nU  \nb  \n6  \n7  \n-  \nr  \ne  \nl  \np  \ne  \nK  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \n3  \n.  \n1  \n7  \n.  \n-  \n1  \n<  \n-  \n9  \n8  \n1  \n.  \n.  \n0  \n2  \n-  \n+  \n3  \n9  \n.  \n0  \n-  \n9  \n8  \n.  \n6  \n5  \n0  \n.  \n2  \n+  \n4  \n.  \n1  \n-  \n6  \n.  \n5  \n-  \n4  \n.  \n1  \n±  \n2  \n.  \n4  \n8  \n9  \n3  \n9  \n1  \n9  \n0  \n0  \n0  \n.  \n0  \n.  \n0  \n0  \n+  \n-  \n2  \n2  \n1  \n1  \n0  \n.  \n0  \n.  \n0  \n0  \n+  \n-  \n5  \n0  \n0  \n0  \n.  \n0  \n-  \n4  \n4  \n0  \n0  \n1  \n0  \n.  \n0  \n.  \n0  \n0  \n-  \n+  \n2  \n4  \n7  \n0  \n.  \n0  \n-  \n7  \n3  \n0  \n2  \n0  \n6  \n0  \n0  \n.  \n0  \n0  \n.  \n0  \n+  \n-  \n4  \n4  \n0  \n0  \n.  \n0  \n-  \n-  \n)  \n3  \n3  \n0  \n.  \n0  \n<  \n(  \n6  \n1  \n0  \n.  \n0  \n<  \nC  \nb  \n3  \n1  \n-  \nP  \nS  \nA  \nW  \n8  \n6  \n4  \n2  \n0  \n.  \n0  \n-  \n1  \n4  \n.  \n0  \n±  \n1  \n6  \n.  \n1  \n5  \n2  \n4  \n1  \n0  \n0  \n.  \n0  \n+  \n4  \n1  \n0  \n0  \n.  \n0  \n2  \n8  \n7  \n0  \n.  \n0  \nE  \nb  \n4  \n1  \n-  \nP  \nS  \nA  \nW  \n37  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \n38  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \n0  \n.  \n5  \n+  \n7  \n.  \n4  \n7  \n.  \n-  \n6  \n.  \n6  \n1  \n-  \n5  \n.  \n7  \n5  \n1  \n-  \n8  \n.  \n4  \n.  \n4  \n5  \n+  \n-  \n1  \n.  \n0  \n6  \n2  \n3  \n5  \n5  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n+  \n4  \n+  \n0  \n1  \n<  \n-  \n8  \n1  \n-  \n4  \n3  \n2  \n0  \n4  \n7  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n1  \n0  \n0  \n.  \n0  \n4  \n3  \n0  \n.  \n0  \n+  \n4  \n+  \n5  \n2  \n0  \n.  \n0  \n0  \n2  \n4  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n7  \n±  \n0  \n0  \n.  \n0  \n-  \n7  \n1  \n-  \n)  \n4  \n1  \n.  \n0  \n<  \n(  \n8  \n4  \n0  \n.  \n0  \n-  \n4  \n6  \n0  \n.  \n0  \n<  \nU  \nb  \n0  \n6  \n-  \nP  \nS  \nA  \nW  \n+  \n5  \n3  \n0  \n.  \n0  \n7  \n0  \n0  \n.  \n0  \n-  \n)  \n6  \n1  \n.  \n0  \n<  \n(  \n4  \n7  \n0  \n.  \n0  \n<  \nU  \nb  \n1  \n6  \n-  \nP  \nS  \nA  \nW  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \n8  \n2  \n.  \n.  \n7  \n4  \n-  \n+  \n8  \n2  \n.  \n.  \n2  \n2  \n-  \n2  \n.  \n0  \n1  \n-  \n4  \n.  \n2  \n+  \n8  \n.  \n1  \n-  \n8  \n.  \n0  \n1  \n-  \n0  \n.  \n3  \n-  \n5  \n.  \n3  \n.  \n4  \n2  \n+  \n-  \n6  \n.  \n9  \n6  \n1  \n9  \n±  \n5  \n.  \n3  \n4  \n1  \n2  \n2  \n1  \n0  \n0  \n.  \n0  \n.  \n0  \n0  \n-  \n4  \n0  \n3  \n5  \n0  \n0  \n0  \n.  \n0  \n.  \n0  \n0  \n-  \n+  \n1  \n0  \n0  \n0  \n.  \n0  \n-  \n3  \n1  \n3  \n6  \n0  \n0  \n0  \n0  \n0  \n0  \n.  \n.  \n0  \n0  \n-  \n+  \n1  \n+  \n1  \n0  \n0  \n.  \n0  \n-  \n9  \n5  \n7  \n0  \n0  \n0  \n0  \n.  \n0  \n.  \n0  \n0  \n-  \n2  \n1  \n0  \n0  \n0  \n.  \n0  \n+  \n5  \n1  \n0  \n.  \n0  \n7  \n5  \n0  \n0  \n.  \n0  \n-  \n-  \n)  \n2  \n4  \n0  \n.  \n0  \n<  \n(  \n1  \n2  \n0  \n.  \n0  \n<  \nC  \nb  \n5  \n-  \nO  \nX  \n39  \n8  \n6  \n.  \n0  \n-  \n-  \n)  \n7  \n1  \n0  \n.  \n0  \n<  \n7  \n6  \n0  \n0  \n0  \n.  \n0  \n-  \n(  \n9  \n3  \n0  \n0  \n.  \n0  \n<  \nC  \nb  \n4  \n-  \nO  \nX  \n.  \nd  \ne  \nu  \nn  \ni  \nt  \nn  \no  \nc  \n.  \n8  \ne  \nl  \nb  \na  \nT  \n40  \nr  \ne  \nt  \nt  \ni  \nJ  \n˙  \nγ  \nK  \nω  \nn  \ni  \ns  \ne  \nω  \ns  \no  \nc  \ne  \nω  \ne  \ng  \na  \nl  \nF  \nt  \ne  \nn  \na  \nl  \nP  \nBonomo et al. 2017: Investigating giant planet migration history  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ny  \na  \nd  \n1  \n-  \ns  \nm  \n[  \n]  \n1  \n-  \ns  \nm  \n[  \n]  \ng  \ne  \nd  \n[  \nTable 9. Orbital and physical parameters of the 231 transiting giant planets considered in this work. They were derived from our orbital fits and the system parameters listed in Table 7. Upper limits of 1 σ on the eccentricity are given for both well-determined circular orbits and undetermined eccentricities, as reported in the second column of Table 8 ('C' or 'U').  \n-  \n-  \n-  \n±  \n-  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 9. continued.  \n-  \n-  \n-  \n-  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 9. continued.  \n-  \n-  \n-  \n-  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 9. continued.  \n±  \n-  \n-  \n-  \nBonomo et al. 2017: Investigating giant planet migration history  \nTable 9. continued.  \n- 1 INAF - Osservatorio Astrofisico di Torino, Via Osservatorio 20, I-10025 Pino Torinese, Italy\n- 2 INAF - Osservatorio Astronomico di Padova, Vicolo dell'Osservatorio 5, I-35122 Padova, Italy\n- 3 INAF - Osservatorio Astronomico di Brera, Via E. Bianchi 46, I-23807 Merate (LC), Italy\n- 4 Dipartimento di Fisica, Universit'a Degli Studi di Milano, Via Celoria 16, I-20133 Milano, Italy 5 INAF - Osservatorio Astrofisico di Catania, Via S. Sofia 78, I-95123 Catania, Italy  \n- 8 INAF - Osservatorio Astronomico di Capodimonte, Salita Moiariello 16, I-80131 Napoli, Italy\n- 9 INAF - Osservatorio Astronomico di Palermo, Piazza del Parlamento, 1, I-90134 Palermo, Italy 10\n- INAF - Osservatorio Astronomico di Trieste, via Tiepolo 11, I-34143 Trieste, Italy\n- 11 Institut d'Astrophysique de Paris, UMR7095 CNRS, Universit'e Pierre & Marie Curie, 98bis boulevard Arago, 75014 Paris, France 12 Observatoire de Haute-Provence, Universit'e Aix-Marseille & CNRS, F-04870 St. Michel l'Observatoire, France 13\n- Max-Planck-Institut fur Astronomie, Konigstuhl 17, D-69117 Heidelberg, Germany\n- 14 GAL Hassin, Centro Internazionale per le Scienze Astronomiche, I-90010 Isnello, Italy"}