Improving determination of the Martian rotation parameters through the synergy between LaRa and RISE radioscience experiments

The LaRa experiment consists of a transponder onboard the ExoMars mission that has been designed to obtain two-way Doppler shift measurements from a X-band radiolink between the lander on Mars and the ground stations on Earth. LaRa is planned to last at least one Earth year and should begin to operate from January 2021. RISE is another transponder onboard the InSight mission. This NASA experiment should last at least one Martian year starting from November 2018. The Doppler measurements are used to obtain the Mars' orientation and rotation parameters (MOP) i.e. the length-of-day (LOD) variations, the precession rate and the nutations of the rotation axis, and the polar motion. One of the major objectives of LaRa is to improve our knowledge of the deep interior of Mars by precisely measuring the signature of the liquid core in the nutations. In this study, we performed numerical simulations of these Doppler measurements in order to evaluate the impact on the determination of the MOP and the gain in precision provided by the synergy between both LaRa and RISE experiments. We used the GINS (Géodésie par Intégrations Numériques Simultanées) software implemented by the CNES and further developed at ROB for planetary geodesy applications. We assess the advantage of having the LaRa experiment in a row or at the same time as RISE experiment by considering the following scenarios for comparison: RISE and LaRa alone, RISE followed by LaRa, LaRa together with RISE. In this way, we study the impact of an improved Doppler geometry induced by the involvement of two landers instead of one. The Doppler geometry is a fundamental aspect of radioscience experiments. It affects the measurement sensitivity to the MOP and is thereby an important factor in their determination. The variety of the geometry (especially the azimuth) provided by its omnidirectional patch antenna is a strength of LaRa compared to RISE (two directional horn antennas) that allows to improve the MOP estimates obtained from RISE alone.In addition, because the two candidate landing sites of ExoMars are higher in latitude (18.20°N for Oxia Planum, 22°N for Mawrth Vallis) than InSight (4°N), we could estimate for the very first time the Chandler Wobble component of the polar motion using LaRa (Le Maistre et al., 2012), which is also powerful to constrain Mars interior and atmospheric models.