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LaRa sensitivity to Mars nutations

S. Le Maistre (1), M.J. Peters (1), V. Dehant (1) and J.-C. Marty (2)

(1) Royal Observatory of Belgium, Brussels, Belgium, (2) CNES, Toulouse, France. (SebastienLeMaistre@oma.be / Tel:

+32-2-373-6755)

1 Introduction

LaRa (Lander Radioscience) is a radio-science ex- periment that will land on Mars in 2021 as part of the science payload of the Russian platform of the ESA/Roscosmos ExoMars 2020 mission. LaRa con- sists in an X-band coherent transponder accompanied with one receiving and two transmitting antennas1. The instrument is presented in details by Dehant et al.

(this meeting). Its main scientific objective is to refine the rotation model of Mars in order to better constrain the planet’s interior structure and atmosphere dy- namics. In particular, LaRa will improve the current determination of the precession rate of the planet and measure its nutation precisely enough to quantify the effect of the liquid core [Dehant et al., 2019].

The work presented here focus on the ability of LaRa to determine the nutation of Mars. We anal- yse the impact of several operational and technical parameters on the determination of the semi-annual prograde nutation amplitude (p2) and the ter-annual retrograde nutation amplitude (r3). These amplitudes are considered to be of prime importance in the de- tection of the liquid core contribution in the nutation signal [Le Maistre et al., 2012].

We have studied the impact of several quantities, some of which will be shown and discussed like the impact of the measurements noise, the mission duration, the radio signal elevation and azimuth in the lander sky, the blackout periods, the on-board power availability, etc.

The comparative study presented here relies on numerical simulations performed using the GINS (Geodésie par Intégrations Numériques Simultanées) software. From this study, general conclusions can be drawn on the nutation determination from direct-to-

1Not to be used simultaneously, but implemented for redundancy reason.

Earth Doppler data provided by a landed mission (like ExoMars and InSight).

2 Illustrative case of power avail- ability

Many quantities related to the mission programmatic, the Doppler geometry, the instrument performances (e.g. antenna radiation pattern), etc., are expected to modify the data sensitivity to the targeted parameters and thus affect the scientific return of a radio-science experiment from a landed spacecraft. In order to opti- mise the benefit of the LaRa experiment, we designed the instrument and foresee its operations according to simulations’ conclusions that are partly presented here.

For instance, as an illustrative case, we show in Fig. 1 the impact of power availability on the determination of p2and r3. Assuming worse-case scenarios where LaRa operations would not be allowed while the Sun is not above a given elevation threshold (i.e. a given level of available power), the tracking opportunities could be significantly reduced, limiting the azimuth al- lowed during tracking, which can have strong impact on the nutation determination. Indeed, one can con- clude from Fig. 1 that waiting for the Sun to be at min- imum 15of elevation above the lander is still accept- able, but higher elevation threshold would strongly re- duce the science return of LaRa.

Acknowledgements

This work was financially supported by the Belgian PRODEX program managed by the European Space Agency in collaboration with the Belgian Federal Sci- ence Policy Office.

EPSC Abstracts

Vol. 13, EPSC-DPS2019-1681-1, 2019 EPSC-DPS Joint Meeting 2019

c

Author(s) 2019. CC Attribution 4.0 license.

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None 0 15 30 45 Minimum Sun elevation (deg) 5

10 15 20

p2 (mas)

semi-annual

None 0 15 30 45

Minimum Sun elevation (deg) 0

5 10 15 20

r3 (mas)

ter-annual

0 100 200 300 400 500 600 700 Mission duration (days) 0

5 10 15 20 25 30

p2 (mas)

No power limitation Sun > 0º Sun > 30º

semi-annual

0 100 200 300 400 500 600 700 Mission duration (days) 0

5 10 15 20 25 30

r3 (mas)

ter-annual

Figure 1: Impact of blackout periods due to power availability on the nutation determination. Solid curves are formal errors for different cases: no power limitations (blue after 300d, black after 700d), during the day at Mars (red in bottom panel), after about two hours of insolation (green in bottom panel). When the parameters uncertainties are smaller than the expected liquid core contribution to nutation, represented by these grey shaded boxes, then data accu- mulated by LaRa allow to detect the effect of the liquid core on the signal and thereby to constrain models of the deep interior of Mars.

References

V. Dehant, S. Le Maistre, R.-M. Baland, Ö. Karatekin, M.-J. Péters, A. Rivoldini, T. van Hoolst, M. Yse- boodt, M. Mitrovic, and the LaRa team. The radio- science LaRa instrument onboard ExoMars 2020 to investigate the rotation and interior of Mars. In preparation, 2019.

S. Le Maistre, P. Rosenblatt, A. Rivoldini, V. Dehant, J-C. Marty, and Ö. Karatekin. Lander radio sci- ence experiment with a direct link between Mars and the Earth. Planetary and Space Science, 68 (1):105 – 122, July 2012. ISSN 0032-0633. doi:

10.1016/j.pss.2011.12.020.

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