Stabilities of asteroid orbits in resonances

被引：0
作者：
Liyong Zhou
Jilin Zhou
Yisui Sun
机构：
[1] Nanjing University,Department of Astronomy
来源：
Science in China Series A: Mathematics | 2002年 / 45卷 / 1期
关键词：
asteroid; map; diffusion;
D O I：
10.1360/02ys9014
中图分类号：
学科分类号：
摘要：
A map of the asteroid motion is studied carefully. An exponential diffusion law in the chaotic sea and an algebraic law in the mixed region are observed. The effects of perturbations on diffusion are also discussed. The fixed points, their stabilities and the diffusion properties of the map give qualitative explanations of the distribution of asteroids, i.e. the depletion and accumulation of asteroids in the outer main belt, particularly in the first order mean motion resonances with Jupiter.
引用
收藏
页码：122 / 128
页数：6
相关论文
共 30 条
[1]  
Meiss J. D.(1992)Symplectic maps, variational principles, and transport Rev. Mod. Phys. 64 795-848
[2]  
Sun Y. S.(1999)Diffusion character in four-dimensional volume-preserve map Cel. Mech. & Dyn. Astron. 73 249-258
[3]  
Fu Y. N.(1997)On the asteroidal population of the first-order Jovian resonances Icarus 130 247-258
[4]  
Nesvorný D.(1996)On the Kirkwood gap at the 2:1 commensurability with Jupiter Astron. J. 111 2453-2461
[5]  
Ferraz-Mello S.(1986)Series expansions for encounter-type solutions of Hill’s problem Cel. Mech. 38 67-100
[6]  
Morbidelli A.(1989)The long-term evolution of orbits in the Solar system A mapping approach, Icarus 82 402-418
[7]  
Hénon M.(1975)Asteroidal motion at the 5/2, 7/3 and 2/1 resonances Astron. Astrophys. 42 457-461
[8]  
Petit J. M.(1985)Markov-tree model of intrinsic transport in Hamiltonian systems Phys. Rev. Lett. 55 2741-2744
[9]  
Duncan M.(1992)Algebraic decay and phase-space metamorphosis in microwave ionization of hydrogen Rydberg atoms Phys. Rev. A 45 8284-8287
[10]  
Qninn T.(1999)Noise-induced phase space transport in two-dimensional Hamiltonian systems Phys. Rev. E 60 1567-1578
123