Test of the Inverse Square Law Through Precession of Orbits

Abstract

Using precession of orbits due to non-Newtonian interaction between two celestial bodies and modern tracking data of satellites, planets and a pulsar we obtain new more precise limits on possible Yukawa-type deviations from the Newton law in planets (satellites) radii ranges.

Long Range Gravity Tests and the Pioneer Anomaly

“…On the other side of the distance range, long range tests of the Newton law are performed by following the motions of planets or probes in the solar system. They also show an agreement with GR with a good accuracy for ranges of the order of the Earth-Moon [29] or Sun-Mars distances [50,51,52]. When the whole set of results is reported on a global figure (see Fig.…”

Constraints from orbital motions around the Earth of the environmental fifth-force hypothesis for the OPERA superluminal neutrino phenomenology

“…(16) loses its meaning for e → 0 since it yields 0/0. Other derivations of either the Yukawa-type secular precession of the pericenter or its advance per orbit can be found in, e.g., [35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54]. All of them make use of different level of approximations in either the magnitude of the length scale λ or the orbital configuration of the test particle.…”

Gravity Tests and the Pioneer Anomaly

“…On the other side of the distance range, long range tests of the Newton law are performed by monitoring the motions of planets or probes in the solar system. They also show an agreement with GR with a good accuracy for ranges of the order of the Earth-Moon [45] or Sun-Mars distances [46,47,68,69]. When the whole set of results is reported on a global figure (see fig.1 in [70] reproduced thanks to a courtesy of the authors of [60]), it appears that windows however remain open for violations of the standard form of Newton force law at short ranges, below the millimeter, as well as long ones, of the order of or larger than the size of the solar system.…”