Kozai mechanism inside mean motion resonances in the three-dimensional phase space

被引:9
作者
Qi, Yi [1 ]
de Ruiter, Anton [1 ]
机构
[1] Ryerson Univ, Dept Aerosp Engn, 350 Victoria St, Toronto, ON M5B 2K3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
celestial mechanics; minor planets; asteroids:; general; planets and satellites: dynamical evolution and stability; NEAR-EARTH ASTEROIDS; SECULAR RESONANCES; ORIGIN; DYNAMICS; PERTURBATIONS; EVOLUTION;
D O I
10.1093/mnras/staa684
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we investigate the Kozai mechanism inside the inclined mean motion resonance (MMR) through a three-dimensional (3D) phase space. The Hamiltonian approximation for both prograde and retrograde MMRs is established by a semi-analytical method. We pick Jupiter as the disturber and study the Kozai mechanism in the Sun-Jupiter circular restricted three-body problem. Kozai islands of the prograde and retrograde MMRs are found in the 3D phase space. Numerical integration demonstrates that the locus of the orbit on the Kozai island is bounded by the Kozai island in the 3D phase space, so the orbit is locked in the Kozai+MMR state. The study of the Kozai dynamics inside a retrograde 1:1 MMR indicates that Kozai islands in the 3D phase space are just a sufficient condition for the Kozai+MMR mechanism rather than a necessary condition. There is no Kozai island in the 3D space for the retrograde 1:1 MMR, but the resonant coupling of Kozai with the retrograde 1:1 MMR appears in the phase space. Finally, dynamical behaviours of the two test particles located on Kozai islands are demonstrated in the ephemeris model.
引用
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页码:5816 / 5824
页数:9
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