利用数值优化技术设计周期性绕飞的编队轨道

Periodic-relative Rotating Orbits Design for Spacecraft Formations by Numerical Optimization

考虑非线性和椭圆参考轨道等因素,选择编队卫星周期性绕飞的初始条件,设计自然周期性绕飞轨道,对长期编队飞行是十分必要的。然而利用Hill方程确定初始绕飞条件,设计长期编队飞行的轨道,具有很大的误差。本文在考虑非线性和椭圆参考轨道等因素的条件下,利用数字优化技术寻找周期性绕飞的初始条件,设计不消耗任何燃料的编队卫星轨道。优化的结果可用来研究周期性绕飞轨道必须满足的条件,加强对编队机理的认识。数值仿真结果验证了优化结果的正确性和有效性。

It is of great necessity for the long term relative motion of formation flying to choose initial conditions and design the nature-periodic-relative rotating obits with the reference orbit eccentricity and the nonlinear relative motions. It is recognized that it yields considerable errors and is insufficient to employ Hill equations in choosing initial conditions and designing formation flying orbits without fuel consumption. With a consideration of the effects resulting from the reference orbit eccentricity and the nonlinearity relative motion, the numerical optimal technology was utilized in the present study. Results of numerical optimization can he used to determine the invariant-periodic-relative rotating conditions, thus gaining a good insight into formation flying. Numerical simulations demonstrate the correctness and effectiveness of the optimaized results.