DIFFUSION CHARACTERS OF THE ORBITS IN THE ASTEROID MOTION

作     者：周礼勇 孙义燧 周济林 

作者机构：Department of Astronomy Nanjing University Nanjing 210093 P R China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2001年第22卷第7期

页      面：808-819页

核心收录：

学科分类：07[理学] 070402[理学-天体测量与天体力学] 0704[理学-天文学] 

基　　金：theNationalNaturalScienceFoundationofChina ( 1 963 3 0 1 0 1 990 3 0 0 1 ) 

主　　题：diffusion symplectic mapping asteroid 

摘      要：A symplectic mapping is studied carefully. The exponential diffusion last, in developed chaotic region and algebraic law in mixed region were observed. An area was found where the diffusion follows a logarithmic law. It is shown in the vicinity of an island, the logarithm of the escape time decreases linearily as the initial position moves away from the island. But when approaching close to the island, the escape time goes up very quickly, consistent with the superexponential stability of the invariant curve. When applied to the motion of asteroid, this mapping s fixed points and their stabilities give an explanation of the distribution of asteroids. The diffusion velocities in 4:3, 3:2 and 2:1 jovian resonances are also investigated.