unconventional issue related entirely to the Doppler tracking. A primary evaluation of the possible conventional physical effects with could be contributing to the anomaly was carried out by Lämmerzahl et al. [@LPDSolarSystem]. Ocean tides and a coupling of the spacecraft to the tesseral harmonic terms in the geopotential model have also recently been studied [@AcedoMNRAS]. Atmospheric friction can also be dismissed except for flybys at altitudes of $300$ km or lower [@Acedo2017one]. The same can be said of the corrections corresponding to General Relativity [@IorioSRE2009; @Hackmann], thermal effects [@Rievers2011] or other [@Atchison].

The absence of any convincing explanation have motivated many researchers to undertake the task of looking for models beyond standard physics. An early work by Adler [@Adler2010; @Adler2011] presented a model in which a halo of dark matter coalesces around the Earth and its interactions would explain away the flyby anomaly. Anaway, these interactions would verify very stringent conditions. We have also many models which refer to extensions of General Relativity or modifications of standard newtonian gravity: extensions of Whitehead’s theory of gravity [@Acedo2015; @Acedo2017three], topological torsion [@Pinheiro2014; @Pinheiro2016], retardation effects [@Hafele], motion in conformal gravity [@Varieschi2014] or some [*ad hoc*]{} modifications of the Newtonian potential [@Nyambuya2008; @Wilhelm2015; 