The Prograde C7 Resonance for Earth and Mars Satellite Orbits

被引：0
|
作者：
Sławomir Breiter
机构：
[1] A. Mickiewicz University,Astronomical Observatory
来源：
Celestial Mechanics and Dynamical Astronomy | 2000年 / 77卷
关键词：
artificial satellites; lunisolar perturbations; resonances; analytical methods;
D O I：
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学科分类号：
摘要：
The resonance C7 is a 1:1 eccentricity (apsidal) resonance between the longitude of a satellite's pericentre and the mean longitude of the Sun. A previous paper by the author (Breiter, 1999) identified it as the strongest of the lunisolar apsidal resonances. After the reduction to a single degree of freedom, the problem is studied qualitatively for the prograde orbits around the Earth and Mars. Pitchfork, saddle-node, and saddle connection bifurcations give rise to a complicated phase flow, which may involve up to nine critical points.
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页码：201 / 214
页数：13
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