基于微分方程法的近程交会滑移轨道设计方法

Glidescope Orbit Design Based on the Differential Equation Approach in Near-Range Autonomous Rendezvous Mission

考虑能量、时间、视线等约束条件,基于微分方程法研究了近程自主交会滑移轨道设计方法.推导了近程接近操作与撤离操作滑移轨道的参数求解公式,设计了含待定参数的相对距离与相对速率的负一次和二次幂函数形式的微分方程,并以能耗为性能指标,提出了确定微分方程待定参数的方法.另外,研究了利用约束轨道降低视线角的方法.在给定的约束条件下,仿真验证了用含待定参数的微分方程法及改变约束轨道的微分方程法设计滑移轨道的有效性.

Considering constraints of energy, time and line-of-sight angle, a near-range autonomous rendezvous glidescope orbit design method is studied based on the differential equation method. The glidescope equations of approach and retreat operations are deduced, the power function between the relative distance and velocity are designed, and the parameter determination method considering the energy consumption as the optimal index is put forward. Additionally, the approach reducing the line-of-sight angle is studied. Under the given constraints, the efficiency of differential equation method is validated by simulation.