Consideration of Relativistic Effects in the Rotation of Mars and its Satellites

Abstract

This study is dedicated to the consideration of the relativistic effects (geodetic precession and nutation that make up the geodetic rotation) in the rotation of Mars and its satellites (Phobos and Deimos). The relativistic effects were calculated using the method developed in (Pashkevich, 2016), which is applicable to the study of any bodies of the Solar System that have long-term ephemerides. As a result, the most significant secular and periodic terms of the geodetic rotation in the perturbing terms of physical libration and in the Euler angles were determined for the Martian satellites for the first time.