基于伪谱方法的有限推力变轨策略研究

Approach of finite-thrust transfer based on Gauss pseudospectral method

研究了有限推力条件下的空间飞行器大范围机动变轨问题。将有限推力解的求取过程分为两个步骤,首先采用Lambert方法求取变轨问题的双脉冲最优解,再采用Gauss伪谱方法求取有限推力解,将每个脉冲点扩展为一个推力弧段,通过伪谱方法将最优变轨问题转化为一个参数优化问题,采用非线性规划方法得到该推力弧段的变轨推力大小和方向。将该方法应用于某空间飞行器轨道机动变轨过程研究,取得了满意的结果,从而证明了方法的有效性。

The large-scale orbit transfer approach of spacecraft with finite thrust is studied. The procedure to get the optimal transfer thrust is devided into two steps. Firstly, the Lambert algorithm is used to get the optimal two impules of orbit transfer. Then, the Gauss pseudospectral method is used to get the optimal transfer thrust, which converts the optimal orbit transfer problem into a parameter optimization problem in each impule point. The nonlinear programming method is used to solve the problem and to get the thrust value. Finally, the approach was applied to a spacecraft orbit transfer problem. And the result verified the effectiveness of the method.