Juhua Chen and Yongjiu Wang 2003 Class. Quantum Grav. 20 3897 doi:10.1088/0264-9381/20/18/303
Juhua Chen and Yongjiu Wang
Show affiliationsIn this paper, we investigate the dynamics of a test particle in a gravitational field with a dipole. First we study the gravitational potential by numerical analysis, and find that, for some appropriate parameters, there are two different cases in the potential curve. One is a one-well case with a stable critical point, and the other is a three-well case with three stable critical points and two unstable critical points. We also investigate the evolution of the test particle in the phase space. 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 mainly originates from the dipole.
Issue 18 (21 September 2003)
Received 11 March 2003, in final form 29 May 2003
Published 20 August 2003
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