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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 Perturbations of the Galilean Satellites During Planetary Encounters
Rogerio Deienno,Rogerio Deienno,David Nesvorný,David Vokrouhlický,David Vokrouhlický,Tadashi Yokoyama +5 more
TL;DR: In this article, the authors studied the effect of planetary encounters on the survival of the Galilean satellites in the jumping-Jupiter model and found that the regular satellites of Jupiter can be used to set limits on the properties of encounters in the Jumping J Jupiter model, and help us to better understand how the early solar system evolved.
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On the effects of Dvali–Gabadadze–Porrati braneworld gravity on the orbital motion of a test particle
TL;DR: In this article, the authors explicitly work out the perturbations induced on all the Keplerian orbital elements of a test body to order in the eccentricity e by the weak-field long-range modifications of the usual Newton-Einstein gravity due to the DGP braneworld model.
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The inclination of the planetary system relative to the solar equator may be explained by the presence of planet 9
TL;DR: In this paper, the Lagrange-Laplace dynamics of the inner giant planets of the solar system is decomposed into a classic Lagrange Laplace dynamics relative to their own invariant plane and a slow precession of said plane relative to the total angular momentum vector of the entire solar system including planet 9.
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On the anomalous secular increase of the eccentricity of the orbit of the Moon
TL;DR: In this paper, the authors examined several dynamical effects, not modeled in the data analysis, in the framework of long-range modified models of gravity and of the standard Newtonian/Einsteinian paradigm.
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Non-linear evolution of the tidal elliptical instability in gaseous planets and stars
Adrian J. Barker,Yoram Lithwick +1 more
TL;DR: In this article, it was shown that when the deformation is weak, the non-linear outcome of the instability leads to the formation of long-lived columnar vortices aligned with the axis of rotation.