论文标题
分析性冷冻轨道下的区域谐波扰动来自地球状的行星
Analytic frozen orbits under the zonal harmonics perturbation from an Earth-like planet
论文作者
论文摘要
这项工作着重于提供封闭形式的分析表达式，以在类似地球的行星的区域谐波的影响下定义冷冻轨道。尤其是，这项工作中考虑了术语J2，J3，J4，J5，J6和J7的扰动效果。这是使用小参数中的功率系列扩展来完成的，该参数不仅允许为系统提供近似解决方案，还可以确定定义生成冷冻轨道的初始悬浮条件的分析表达式。因此，提出的方法允许通过纯粹的分析方法研究接近临界倾斜度的冷冻轨道的分叉。此外，基于这项工作中提出的二阶分析解决方案，提供了轨道元素的世俗变化以及从示波器到平均元素的转化的推导。还提供了应用程序的示例，以显示本文档中包含的结果的错误性能。
This work focuses on providing closed form analytical expressions to define frozen orbits under the effects of the zonal harmonics of an Earth-like planet. Particularly, the perturbation effects from the terms J2, J3, J4, J5, J6, and J7 are considered in this work. This is done using a power series expansion in the small parameter that allow not only to provide an approximate solution to the system, but also to determine the analytical expressions that define the initial osculating conditions that generate frozen orbits. As a result of that, the proposed methodology allows to study the bifurcation of frozen orbits close to the critical inclination by purely analytical methods. Additionally, the derivation of the secular variation of the orbital elements as well as the transformation from osculating to mean elements is provided based on the second order analytical solution proposed in this work. Examples of application are also provided to show the error performance of the results included in this document.
