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轨迹成形法是一种基于反向设计思想的轨道设计方法,它假设待研究的轨道呈现某一形状,利用数学曲线进行逼近从而得到设计结果。逆多项式轨迹成形法为小推力地球转移轨道设计和数值求解最优轨迹过程中初值的选取提供了新的研究思路。首先结合轨道动力学方程和逆多项式曲线模型给出了轨迹成形法的设计过程,并在考虑时间约束的情况下对小推力转移轨道进行设计。仿真结果表明逆多项式轨迹成形法适宜于小推力转移轨道设计,并且其设计结果是一组近优解,可以作为求取精确最优轨迹的初值猜测。
Trajectory forming method is based on the idea of reverse design orbit design method, which assumes that the trajectory to be studied assumes a certain shape, the use of mathematical curves approximation to get the design results. Inverse polynomial trajectory modeling provides a new research idea for the design of small thrust Earth orbit transfer trajectory and numerical solution of the optimal trajectory. At first, the designing process of trajectory forming method is given based on the orbital kinetic equation and the inverse polynomial curve model, and the small thrust transfer trajectory is designed considering the time constraint. The simulation results show that the inverse polynomial locus forming method is suitable for the design of small thrust transfer orbit and its design result is a set of near optimal solutions, which can be used as the initial guess for finding the accurate optimal locus.