Relative motion between satellites on neighboring Keplerian orbits
Relative motion between satellites on neighboring Keplerian orbits
复制标题
相邻开普勒轨道上卫星之间的相对运动
DOI：
10.2514/1.24804
复制
发表时间：
2007
影响因子：
2.6
通讯作者：
E. Imre
中科院分区：
文献类型：
--
作者：
P. Palmer;E. Imre
在本文中，我们探讨了开普勒轨道上两颗卫星之间的相对运动。我们假定定义这两颗卫星的开普勒椭圆的轨道要素是相似的，因此我们可以忽略这些要素的二阶差异。给出了相对运动的解析解，保留了与开普勒运动相关的量，并详细讨论了初始条件的选择，以提高所涉及的近似的顺序。最后，我们给出的结果将我们的分析结果与开普勒轨道的差异进行比较，以确定近似的准确性，结果显示比预期的要大得多。该方法的一个优点是，相对运动是在惯性系而不是旋转系中描述的。这使得扰动对相对运动的影响能够以一种直接的方式被纳入。
In this paper, we explore the relative motion between two satellites on Keplerian orbits. We assume that the orbital elements defining the Keplerian ellipses for the two satellites are similar, so that we may neglect differences in these elements to second order. Analytic solutions for the relative motion are presented that conserve relevant quantities related to the Keplerian motions, and we discuss in detail the choice of initial conditions to improve the order of the approximations involved. Finally, we present results that compare our analytic results with differences of Keplerian orbits to determine the accuracy of the approximation, which is shown to be much greater than anticipated. An advantage of the approach presented over previous work in this area is that the relative motion is described in an inertial frame and not a rotating frame. This enables the effects of perturbations on the relative motion to be incorporated in a straightforward manner.