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Solar system dynamics
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In this paper, the two-body problem and the restricted three body problem are considered. And the disturbing function is extended to include the spin-orbit coupling and the resonance perturbations.Abstract:
Preface 1 Structure of the solar system 2 The two-body problem 3 The restricted three-body problem 4 Tides, rotation and shape 5 Spin-orbit coupling 6 The disturbing function 7 Secular perturbations 8 Resonant perturbations 9 Chaos and long-term evolution 10 Planetary rings Appendix A Solar system data Appendix B Expansion of the disturbing function Indexread more
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Orbital stability of Earth Trojans
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Lévy Flights of Binary Orbits due to Impulsive Encounters
TL;DR: In this paper, the authors examined the evolution of an almost-circular Keplerian orbit interacting with unbound perturbations and presented an analytic solution to the Boltzmann equation that describes the distribution of orbital eccentricity and relative inclination as a function of time.
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Ing Guey Jiang,Wing Ip +1 more
TL;DR: In this paper, the authors investigated the orbital stability and mutual gravitational interactions among these extrasolar planets, both forward and backward integrations from the latest observed orbital elements for all three planets' orbits have been performed under the coplanar assumption and reconfirmed that the middle and the outer planet have strong interaction leading to large time variations in the eccentricities of these planets, which was shown by the previous studies.
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Origin Scenarios for the Kepler 36 Planetary System
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