stands out as a particularly interesting case. As it has become common lore within the space physics community, the Pioneer anomaly consist on a trend detected on the Doppler data for the Pioneer 10 and Pioneer 11 spacecraft as they travel beyond Jupiter. This trend was consistent with an, almost constant, acceleration of $a_P=(8.74\pm 1.33) \times 10^{-8} $ cm$/$s$^2$ directed, approximately, towards the Sun [@LPDSolarSystem; @Anderson2002]. Despite the many suggestions for new physics [@TuryshevReview], the problem was finally settled, after the careful retrieval of the whole telemetry dataset, as originating from the anisotropic emission of heat from the radioactive sources on the thermoelectric generators [@Rievers2011; @PioneerPRL; @Bertolami2010].

Even more intriguing is the flyby anomaly, i. e., the unexplained difference among the post-encounter and the pre-encounter Doppler residuals of a spacecraft in a gravity assist manoeuver around the Earth [@Anderson2008]. The first detection of the effect occurred during the first Galileo flyby of the Earth on December, 8th, 1990. In this case the discrepancy was interpreted as an anomalous increase of $3.92$ mm$/$s in the post-encounter asymptotic velocity. It is important to emphasize that this anomaly is also observed in the ranging data and cannot be attributed to a conventional or 