AMD-stability in the presence of first-order mean motion resonances
作者： A. C. Petit , J. Laskar , G. Boué
DOI: 10.1051/0004-6361/201731196
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摘要: The angular momentum deficit (AMD)-stability criterion allows to discriminate between a priori stable planetary systems and for which the stability is not granted needs further investigations. AMD-stability based on conservation of AMD in averaged system at all orders averaging. While rigorous, only absence mean-motion resonances (MMR). Here we extend take into account resonances, more specifically overlap first-order MMR. If MMR islands overlap, will experience generalized chaos leading instability. Hamiltonian two massive planets coplanar quasi-circular orbits can be reduced an integrable one degree freedom problem period ratios close We use derive new This unifies previous criteria proposed literature admits obtained initially circular eccentric as limit cases. then improve definition short term generated by overlap. analyze outcome this improved selected multi-planet from Extrasolar Planets Encyclopaedia.
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sci-hub.se 参考文章(28)
J. Laskar, Analytical Framework in Poincare Variables for the Motion of the Solar System Springer, Boston, MA. pp. 93- 114 ,(1991) , 10.1007/978-1-4684-5997-5_7
Jacques Laskar, Philippe Robutel, Stability of the planetary three-body problem Celestial Mechanics and Dynamical Astronomy. ,vol. 62, pp. 193- 217 ,(1995) , 10.1007/BF00692088
J.E. Chambers, G.W. Wetherill, A.P. Boss, The Stability of Multi-Planet Systems Icarus. ,vol. 119, pp. 261- 268 ,(1996) , 10.1006/ICAR.1996.0019
Brett Gladman, Dynamics of Systems of Two Close Planets Icarus. ,vol. 106, pp. 247- 263 ,(1993) , 10.1006/ICAR.1993.1169
J. Laskar, On the spacing of planetary systems. Physical Review Letters. ,vol. 84, pp. 3240- 3243 ,(2000) , 10.1103/PHYSREVLETT.84.3240
J. Henrard, A. Lemaitre, A. Milani, C. D. Murray, The reducing transformation and Apocentric Librators Celestial Mechanics and Dynamical Astronomy. ,vol. 38, pp. 335- 344 ,(1986) , 10.1007/BF01238924
Jack Wisdom, Canonical solution of the two critical argument problem Celestial Mechanics and Dynamical Astronomy. ,vol. 38, pp. 175- 180 ,(1986) , 10.1007/BF01230429
Martin Duncan, Thomas Quinn, Scott Tremaine, The long-term evolution of orbits in the solar system: A mapping approach Icarus. ,vol. 82, pp. 402- 418 ,(1989) , 10.1016/0019-1035(89)90047-X
Matthew J. Holman, Katherine M. Deck, Matthew Payne, First-order Resonance Overlap and the Stability of Close Two-planet Systems The Astrophysical Journal. ,vol. 774, pp. 129- ,(2013) , 10.1088/0004-637X/774/2/129
J. Henrard, A. Lemaitre, A Second Fundamental Model for Resonance Celestial Mechanics and Dynamical Astronomy. ,vol. 30, pp. 197- 218 ,(1983) , 10.1007/BF01234306