中国物理B ›› 2003, Vol. 12 ›› Issue (8): 836-840.doi: 10.1088/1009-1963/12/8/303

• GENERAL • 上一篇    下一篇

Chaos in a gravitational field with dipoles

陈菊华, 王永久   

  1. College of Physics and Information Science, Institute of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2003-01-15 修回日期:2003-04-22 出版日期:2005-03-16 发布日期:2005-03-16

Chaos in a gravitational field with dipoles

Chen Ju-Hua (陈菊华), Wang Yong-Jiu (王永久)   

  1. College of Physics and Information Science, Institute of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2003-01-15 Revised:2003-04-22 Online:2005-03-16 Published:2005-03-16

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摘要： In this paper we investigate the dynamics of a test particle in the gravitational field with dipoles. At first we study the gravitational potential by numerical simulations, we find that, for appropriate parameters, there are two different cases in the potential curve: one is the one-well case with a stable critical point, and the other is the three-well case with three stable critical points and two unstable critical points. By performing Poincaré sections for different values of the parameters and initial conditions, we find a regular motion and a chaotic motion. From these Poincaré sections, we further confirm that the chaotic motion of the test particle originates mainly from the dipoles.

Abstract: In this paper we investigate the dynamics of a test particle in the gravitational field with dipoles. At first we study the gravitational potential by numerical simulations, we find that, for appropriate parameters, there are two different cases in the potential curve: one is the one-well case with a stable critical point, and the other is the three-well case with three stable critical points and two unstable critical points. By performing Poincaré sections for different values of the parameters and initial conditions, we find a regular motion and a chaotic motion. From these Poincaré sections, we further confirm that the chaotic motion of the test particle originates mainly from the dipoles.

Key words: chaos, Poincaré section, dipole

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
02.60.-x (Numerical approximation and analysis) 04.20.-q (Classical general relativity)