Publications (9)
La stabilité des lunes de Saturne, Janus et Ãpiméthée: de l'observation astronomique à la théorie KAM
Alexandre Pousse, Laurent Niederman, Philippe Robutel
Popular science article associated with the work `On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits" (arXiv:1806.07262) from t…
On the co-orbital asteroids in the solar system: medium-term timescale analysis of the quasi-coplanar objects
Sara Di Ruzza, Alexandre Pousse, Elisa Maria Alessi
The focus of this work is the current distribution of asteroids in co-orbital motion with Venus, Earth and Jupiter, under a quasi-coplanar configuration and for a medium-term times…
On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt +2
Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the sec…
On the co-orbital motion of two planets in quasi-circular orbits
Philippe Robutel, Alexandre Pousse
We develop an analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. The Hamiltonian, averaged over one of the planetary mean l…
On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits
Laurent Niederman, Alexandre Pousse, Philippe Robutel
Janus and Epimetheus are two moons of Saturn with very peculiar motions. As they orbit around Saturn on quasi-coplanar and quasi-circular trajectories whose radii are only 50 km ap…
Rigorous treatment of the averaging process for co-orbital motions in the planetary problem
Philippe Robutel, Laurent Niederman, Alexandre Pousse
We develop a rigorous analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. By constructing a complex domain of holomorphy for…