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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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Theory of Secular Chaos and Mercury's Orbit
Yoram Lithwick,Yanqin Wu +1 more
TL;DR: In this paper, the authors study the chaotic orbital evolution of planetary systems, focusing on secular (i.e., orbit-averaged) interactions, and quantify the resulting dynamics for the first time by calculating the locations and widths of nonlinear secular resonances.
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Multiple Poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem
TL;DR: In this paper, a new fully numerical method is presented which employs multiple Poincare sections to find quasiperiodic orbits of the Restricted Three-Body Problem (RTBP), which reduces the calculations required for searching two-dimensional invariant tori to a search for closed orbits.
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Resonant Capture by Inward-migrating Planets
Qingjuan Yu,Scott Tremaine +1 more
TL;DR: In this paper, the authors investigate the resonant capture of small bodies by migrating planets and conclude that postmigration multi-planar systems may not be coplanar, and that the small body is released from the 2 : 1 resonance on a nearly circular retrograde orbit.
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Saturn’s wayward shepherds: the peregrinations of Prometheus and Pandora
TL;DR: In this article, the authors compare the Prometheus and Pandora measurements to the predictions of substantially revised and improved ephemerides for the two satellites based on an extensive analysis of a large set of Voyager images.
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Dynamical chaos: systems of classical mechanics
TL;DR: In this paper, the authors present a methodological manual for those who are interested in chaotic dynamics, focusing on the analysis of the phenomena underlying the self-similarity and nature of chaos.