相邻两航天器相对运动近似方程的解析解及比动能方程

给出了地心引力场中受控航天器相对目标航天器运动的推力加速度随时间线性变化时Hill方程的解析解，根据Hill方程导出了受控航天器相对目标航天器运动的比动能方程，并讨论了比动能方程在上述两天器轨道相遇和轨道交会问题中的应用。

ANALYTICAL SOLUTION OF MOTION EQUATIONS AND EQUATION OF SPECIFIC KINETIC ENERGY FOR RELATIVE MOTION OF TWO CLOSE SPACECRAFTS

When an objective spacecraft (OS) moves along a near circular orbit in unpowered flight, the relative motion of a controlled spacecraft (CS) relatively to the OS is described approximately by the Hill equations on condition that the CS is near to the OS. The Hill equations are solved on the assumption that the thrust acceleration of the CS is the linear function of time. The equation of specific kinetic energy (ESKE) for the relative motion of the two close spacecrafts is deduced from the Hill equations. The applications of ESKE to orbit meet and orbit rendezvous are discussed.