## 留言板

 引用本文: 周礼勇, 孙义燧, 周济林. 小行星运动中的轨道扩散性质[J]. 应用数学和力学, 2001, 22(7): 719-728.
ZHOU Li-yong, SUN Yi-sui, ZHOU Ji-lin. Diffusion Characters of the Orbits in the Asteroid Motion[J]. Applied Mathematics and Mechanics, 2001, 22(7): 719-728.
 Citation: ZHOU Li-yong, SUN Yi-sui, ZHOU Ji-lin. Diffusion Characters of the Orbits in the Asteroid Motion[J]. Applied Mathematics and Mechanics, 2001, 22(7): 719-728.

## 小行星运动中的轨道扩散性质

###### 作者简介:周礼勇(1973- ),男,江苏人,讲师,博士.
• 中图分类号: P136;P134.2

## Diffusion Characters of the Orbits in the Asteroid Motion

• 摘要: 在详细讨论一个辛映射的过程中,我们注意到轨道在相空间不同区域有着不同的扩散规律:在充分发展的混沌区,残余的轨道数目随时间按指数律衰减;在混合区域,则是代数律.在相空间中特定的区域,扩散还可以用对数律描述.在一个稳定的岛屿附近,逃逸时间的对数随着离开岛屿的距离的增大而线性下降;而当逼近岛屿的时候,逃逸时间极迅速地上升,与不变曲线的超指数稳定性一致.利用此映射研究小行星运动时,它的不动点及其稳定性可解释小行星的分布.此外,本文还讨论了在4:3,3:2和2:1共振处小行星轨道的扩散速度.
•  [1] Meiss J D.Symplectic maps,variational principles,and transport[J].Rev Mod Phys,1992,64(3):795-848;Contopoulos G.Analysis and Modeling of Discrete Dynamical Systems[M].Netherlands;OPA,1998,35-90;Sun Y S,Fu Y N.Diffusion characters in a four-dimensional volume-preserving map[J].Cel Mech Dyn Astron,1999,73(4):249-258. [2] Nesvorny D,Ferraz-Mello S.On the asteroidal population of the first-order jovian resonances[J].Icarus,1997,130(2):247-258. [3] Froeschle C,Lega E.Analysis and Modeling of Discrete Dynamical Systems[M].Netherlands,OPA,1998,3-54;Hadjidemetriou J D.Analysis and Modeling of Discrete Dynamical Systems[M].Netherlands:OPA,1998:249-282. [4] Duncan M,Quiun T,Tremaine S.The long-term evolution of orbits in the solar system:a mapping approach[J].Icarus,1989,82(3):402-418. [5] Henon M,Petit J M.Series expansions for encounter-type solution of hills problem[J].Cel Mech,1986,38(2):67-100. [6] Hadjidemetriou J D.Predictability,Stability and Chaos in n-Body Dynamical Systems[M].Netherlands:Plenum Press,1991,157-175. [7] Lai Y C,Grebogi C,Blumel R.Algebraic decay and phase-space metamporphoses in microwave ionization of hydrogen rydberg[J].Phys Rev A,1992,45(12):8284-8287. [8] Morbidelli A,Giorgilli A.Chaos and diffusion in hamiltonian systems[M].France:Editions Frontiers,1995,65-112. [9] Evans N W,Tabachnik S.Possible long-lived asteroid belts in the inner solar system[J].Nature,1999,399:41-43. [10] Ferraz-Mello S,Michtchenko T A,Roig F.Determinant role of Jupiter's great inequality in the depletion of the hecuba gap[J].Astron J,1998,116(3):1491-1500.

##### 计量
• 文章访问数:  1576
• HTML全文浏览量:  21
• PDF下载量:  565
• 被引次数: 0
##### 出版历程
• 收稿日期:  2000-03-31
• 修回日期:  2001-02-13
• 刊出日期:  2001-07-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈