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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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Dependence of a planet's chaotic zone on particle eccentricity: the shape of debris disc inner edges
TL;DR: In this article, the authors investigated the width of the chaotic zone using the iterated encounter map and N-body integrations, and showed that the chaos is driven by the overlapping of mean motion resonances which occurs within a distance (δa/a)chaos≈ 1.3μ^2/7 of the planet's orbit.
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On the Origins of Eccentric Close-In Planets
TL;DR: In this article, the authors constrain the tidal Q factor for transiting extrasolar planets by comparing their circularization times with accurately determined stellar ages, and provide constraints on the properties of hypothetical second planets exterior to the known ones.
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Tidal asteroseismology: Kepler's KOI-54
TL;DR: In this article, the authors developed a general framework for interpreting and analysing high-precision light curves from eccentric stellar binaries, including the recently discovered Kepler system KOI-54, a face-on binary of two A stars with e= 0.83 and an orbital period of 42 days.
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A Signature of Planetary Migration: The Origin of Asymmetric Capture in the 2:1 Resonance
Ruth Murray-Clay,Eugene Chiang +1 more
TL;DR: In this article, the authors provide an explanation of this phenomenon, using physical, analytic, and semianalytic arguments, and demonstrate that fast planetary migration generates a larger population of KBOs trailing rather than leading Neptune in orbital longitude.
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Possible commensurabilities among pairs of extrasolar planets
TL;DR: In this paper, the authors investigate the possible commensurabilities to be expected when two protoplanets in the Jovian mass range, gravitationally interacting with each other and an external protoplanetary disc, are driven by disc-induced orbital migration of the outer protoplanet into a commensurable position, which is then maintained in subsequent evolution.