THE 2-BODY PROBLEM WITH RADIATION PRESSURE IN A ROTATING REFERENCE FRAME

被引：13
|
作者：
DANKOWICZ, H
机构：
[1] Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, 14853, NY
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1995年 / 61卷 / 03期
关键词：
2-BODY PROBLEM; RADIATION PRESSURE; HORSESHOES; CHAOS; 3-BODY PROBLEM;
D O I：
10.1007/BF00051898
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study a perturbed Newtonian two-body problem, in which the perturbation is due to a force field of constant magnitude but rotating direction. By considering this system as a perturbation of the non-rotating case a Melnikov-type analysis allows us to show the existence of horseshoes in the level sets of the Hamiltonian and the subsequent sensitive dependence on initial conditions and non-integrability. We discuss the consequences of these results for a particular planar restricted three-body problem.
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页码：287 / 313
页数：27
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