Quasi-satellite orbits in the general context of dynamics in the 1:1 mean motion resonance. Perturbative treatment
arXiv:1409.0417 · doi:10.1007/s10569-014-9565-4
Abstract
Our investigation is motivated by the recent discovery of asteroids orbiting the Sun and simultaneously staying near one of the Solar System planets for a long time. This regime of motion is usually called the quasi-satellite regime, since even at the times of the closest approaches the distance between the asteroid and the planet is significantly larger than the region of space (the Hill's sphere) in which the planet can hold its satellites. We explore the properties of the quasi-satellite regimes in the context of the spatial restricted circular three-body problem "Sun-planet-asteroid". Via double numerical averaging, we construct evolutionary equations which describe the long-term behaviour of the orbital elements of an asteroid. Special attention is paid to possible transitions between the motion in a quasi-satellite orbit and the one in another type of orbits available in the 1:1 resonance. A rough classification of the corresponding evolutionary paths is given for an asteroid's motion with a sufficiently small eccentricity and inclination.
38 pages, 17 figures; accepted for publication, Celestial Mechanics and Dynamical Astronomy, 2014; corrected typos
References in corpus (5)
- Analytical Treatment of Planetary Resonances
- On the co-orbital motion of two planets in quasi-circular orbits
- Dynamics of two planets in co-orbital motion
- (309239) 2007 RW10: a large temporary quasi-satellite of Neptune
- Long-term evolution of the asteroid orbits at the 3:1 mean motion resonance with Jupiter (planar problem)
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