Relativistic contributions to the rotation of Mars

Context. The orientation and rotation of Mars can be described by a set Euler angles (longitude, obliquity, angles) estimated from radioscience data (tracking orbiters landers), which then used to infer the planet's internal properties. are analyzed using modeling expressed within barycentric celestial reference system (BCRS). This includes several relativistic contributions that need properly taken into account avoid any misinterpretation data. Aims. We provide new more accurate (to 0.1 mas level) estimations corrections included in BCRS model Mars. Methods. There two types with regard Mars's orientation: (i) those directly impact (ii) resulting time transformation between local frame BCRS. former contribution essentially corresponds geodetic effect, as well smaller Lense-Thirring Thomas precession effects, we computed their values assuming evolves on Keplerian orbit. As for latter contribution, effect compared angle obtained, based assumption planets evolve orbits, realistic orbits ephemerides. Results. correction longitude mainly comes results (6.754 yr ?1 ) annual nutation (0.565 amplitude). For angle, is dominated transformation. main annual, semiannual, terannual terms display amplitudes 166.954 mas, 7.783 0.544 respectively. amplitude term differs about 9 estimate usually considered community. identified at Mars-Jupiter Mars-Saturn synodic periods (0.567 0.102 amplitude) relevant considering current level uncertainty measurements, rate (7.3088 day ). no significant applies obliquity.