On the dichotomy in the Earth-Moon system restricted three-body problem

被引：0
|
作者：
A. Safiya Beevi
R. K. Sharma
机构：
[1] College of Engineering,Department of Mathematics
[2] Karunya University,Department of Aerospace Engineering, School of Mechanical Sciences
来源：
Astrophysics and Space Science | 2012年 / 341卷
关键词：
Restricted three-body problem; Quasi-periodic orbits; Dichotomy; Poincare surface of sections;
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摘要：
We apply the numerical technique of Poincare surface of section to investigate the dichotomy present in the Earth-Moon system, considering the framework of planar, circular, restricted three-body problem. A study on the transition of quasi-periodic orbits (oscillatory type dichotomy) present at the Jacobi constant C=2.85 shows that the dichotomy discussed here exist not at a particular value of the mass ratio and the Jacobi constant. It is observed that as C increases, the range of mass ratio at which the dichotomy pertains increases, even though the mass ratio at which the transition of orbits takes place decreases.
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页码：343 / 347
页数：4
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