论文标题
在重力场中用纬向谐波的冷冻轨道分叉
Bifurcation of frozen orbits in a gravity field with zonal harmonics
论文作者
论文摘要
我们提出了一种方法,即当卫星问题的二阶基本模型加强了八极分学术语和相对论校正的贡献时,可以研究冷冻轨道的分叉序列。该方法基于对开普勒问题不变的合适组合表示两次降低的闭合正常形式的分析,能够提供对问题的清晰几何视图。
We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and relativistic corrections. The method is based on the analysis of twice-reduced closed normal forms expressed in terms of suitable combinations of the invariants of the Kepler problem, able to provide a clear geometric view of the problem.