相对运动的相对论动力学（I）：Hill-Clohessy-Wiltshire方程的后牛顿推广
Relativistic Dynamics of Relative Motions (I): Post-Newtonian Extension of the Hill-Clohessy-Wiltshire Equations
摘要：
随着深空测距和卫星重力梯度测量技术的不断进步，从广义相对论到相对轨道运动动力学的修正肯定会变得重要。本文系统地推广了Hill-Clohessy-Wiltshire方程组，使之包含了广义相对论的一阶后牛顿效应。在一定的短时间内，对Hill-Clohessy-Wiltshire方程的一般周期解进行了后牛顿修正。
英文摘要：
With continuous advances in technologies related to deep space ranging and satellite gravity gradiometry, corrections from general relativity to the dynamics of relative orbital motions will certainly become important. In this work, we extend,in a systematic way, the Hill-Clohessy-Wiltshire Equations to include the complete first order post-Newtonian effects from general relativity. Within certain short time limit, post-Newtonian corrections to general periodic solutions of the Hill-Clohessy-Wiltshire Equations are also worked out.
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