任意轨道要素冻结轨道的径向小推力控制策略研究

Study of the Control Strategy for Frozen Orbits with Arbitrary Orbital Element by Using Radial Low-thrust

传统的冻结轨道对轨道参数的设计有较为苛刻的要求,这在一定程度上限制了冻结轨道的应用。利用轨道平均技术,得出了空间飞行器在J2项摄动影响下轨道要素的平均变化率,推导了空间飞行器在径向、横向和副法向常加速度作用下轨道要素的平均变化率,分析了空间飞行器在径向常加速度作用下近地点幅角变化率的特点,提出了采用径向小推力的任意轨道要素冻结轨道的两种控制策略。应用这两种控制策略,可以使任意轨道满足冻结条件,获得任意轨道要素冻结轨道。仿真计算表明提出的任意轨道要素冻结轨道的径向小推力控制策略是有效的。

Traditional frozen orbits have some rigorous orbit dement conditions which seriously affect the application of the frozen orbit. By utilizing orbital averaging technique, the averaged change rates of orbital elements, that occur due to the J2 perturbation arising from Earth＇s oblateness, are given. The averaged change rates of orbital elements caused by constant accelerations in the radial, transverse, and binormal directions, are also derived. Two control strategies for frozen orbit with arbitrary orbital element by using radial low-thrust are proposed according to some analysis. Using these control strategies orbits with arbitrary orbital element could meet the frozen condition and become frozen orbits. Simulation results show that the proposed control strategies are feasible and efficient.