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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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The Fate of Asteroid Ejecta
TL;DR: In this article, the initial conditions of ejecta fields generated from impacts on the asteroid surface are discussed, and the relevant physical laws and forces affecting asteroid ejecta, in orbit and on the surface, are reviewed and the basic dynamical equations of motion for ejecta are stated.
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A Uranian Trojan and the frequency of temporary giant-planet co-orbitals.
TL;DR: The detection of a Uranian Trojan is reported and a Centaur model is constructed, supplied from the transneptunian region, to estimate temporary co-orbital capture frequency and duration, finding that at any time 0.4 and 2.8% of the population will be Uranian and Neptunian co-orbitals, respectively.
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The three-body problem
Z.E. Musielak,Billy Quarles +1 more
TL;DR: A review of the three-body problem in the context of both historical and modern developments is presented in this article, where the authors describe the general and restricted (circular and elliptic) three body problems, different analytical and numerical methods of finding solutions, methods for performing stability analysis and searching for periodic orbits and resonances.
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The Librating Companions in HD 37124, HD 12661, HD 82943, 47 Ursa Majoris, and GJ 876: Alignment or Antialignment?
TL;DR: In this article, the authors investigated the apsidal motion for the multi-planet systems and obtained the criteria with Laplace-Lagrange secular theory to determine whether a pair of planets for a certain system are in libration or circulation.
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The effect of oblateness in the perturbed restricted three-body problem
TL;DR: In this article, the effects of oblateness of the three participating bodies as well as the small perturbations in the Coriolis and centrifugal forces are considered, and the existence of equilibrium points, their linear stability and the periodic orbits around these points are studied under these effects.