Volume 657, January 2022
|Number of page(s)||16|
|Section||Planets and planetary systems|
|Published online||19 January 2022|
Eviction-like resonances for satellite orbits
Application to Phobos, the main satellite of Mars
CIDMA, Departamento de Matemática, Universidade de Aveiro,
Campus de Santiago,
2 CFisUC, Departamento de Física, Universidade de Coimbra, 3004-516 Coimbra, Portugal
3 ASD, IMCCE-CNRS UMR8028, Observatoire de Paris, PSL Université, 77 Av. Denfert-Rochereau, 75014 Paris, France
Accepted: 13 October 2021
The motion of a satellite can experience secular resonances between the precession frequencies of its orbit and the mean motion of the host planet around the star. Some of these resonances can significantly modify the eccentricity (evection resonance) and the inclination (eviction resonance) of the satellite. In this paper, we study in detail the secular resonances that can disturb the orbit of a satellite, in particular the eviction-like ones. Although the inclination is always disturbed while crossing one eviction-like resonance, capture can only occur when the semi-major axis is decreasing. This is, for instance, the case of Phobos, the largest satellite of Mars, that will cross some of these resonances in the future because its orbit is shrinking owing to tidal effects. We estimate the impact of resonance crossing in the orbit of the satellite, including the capture probabilities, as a function of several parameters, such as the eccentricity and the inclination of the satellite, and the obliquity of the planet. Finally, we use the method of the frequency map analysis to study the resonant dynamics based on stability maps, and we show that some of the secular resonances may overlap, which leads to chaotic motion for the inclination of the satellite.
Key words: celestial mechanics / planets and satellites: dynamical evolution and stability / planets and satellites: individual: Phobos
© ESO 2022
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