论文标题
在J2扰动下，从悬浮到平均元素的分析转换
Analytic transformation from osculating to mean elements under J2 perturbation
论文作者
论文摘要
这项工作提出了一种分析扰动方法，用于研究从主天体的重力潜力$ j_2 $的轨道对象的动力学。这是在系统的所有变量上使用扰动常数$ j_2 $中的功率系列扩展，以及基于轨道纬度论点的时间正则化。这使得分析解决方案的生成无需控制系统的扰动频率。所得的方法允许在任何偏心率的轨道示波元素中近似系统的动力学，并获得从示波器到这些轨道中的平均元素的近似分析转换。这包括任何倾斜的近圆形，椭圆形，抛物线和双曲线轨道。提供了几个示例，以显示扰动方法及其相关转换的准确性。
This work presents an analytical perturbation method to study the dynamics of an orbiting object subject to the term $J_2$ from the gravitational potential of the main celestial body. This is done using a power series expansion in the perturbation constant $J_2$ on all the variables of the system, and a time regularization based on the argument of latitude of the orbit. This enables the generation of analytic solutions without the need to control the perturbed frequency of the system. The resultant approach allows to approximate the dynamics of the system in osculating elements for orbits at any eccentricity, and to obtain the approximate analytical transformation from osculating to mean elements in these orbits. This includes near circular, elliptic, parabolic and hyperbolic orbits at any inclination. Several examples of application are presented to show the accuracy of the perturbation approach and their related transformations.
