In the framework of formation satellites, the periodic orbits of deputy satellite are analyzed when the chief satellite is moving in an elliptical orbit. This analysis is developed on 1- to 10-loop periodic orbits of the deputy satellite. These orbits along with their associated loops are discussed under some specific initial position sets. The effects of different initial velocities, initial true anomalies, and eccentricities on the initial position and orbital period of periodic orbits of deputy satellite are investigated.

中文翻译：

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编队卫星框架内周期轨道的演变

在编队卫星的框架内，当主卫星在椭圆轨道上移动时，分析副卫星的周期轨道。该分析是在副卫星的1至10圈周期轨道上进行的。在某些特定的初始位置集下讨论了这些轨道及其关联的循环。研究了不同初始速度，初始真实异常和离心率对副卫星周期轨道的初始位置和轨道周期的影响。