论文部分内容阅读
形状逼近法是小推力轨迹设计中的一种有效方法,然而现有的方法大都假定运动轨迹为某一特定的形状,而且没有考虑推力加速度的约束限制。针对小推力轨道交会问题,提出一种基于多项式的轨迹设计方法。结合极坐标系,建立基于多项式的三自由度轨迹运动模型,将轨迹设计问题转化为求解多项式的系数问题;根据运动模型推导轨迹的动力学特性,建立约束方程,并以消耗燃料最少作为性能指标,采用序列二次规划的方法对多项式的系数进行寻优计算。该方法不仅能求解多个形状设计参数不确定性问题,而且还能满足推力加速度的约束限制。仿真验证了该方法的正确性和可用性,该方法可为任务设计初步阶段的轨迹设计和燃料消耗预估提供一定的技术参考。
The shape approximation method is an effective method in the design of small thrust trajectory. However, most of the existing methods assume that the trajectory is a specific shape and do not consider the restraint restriction of thrust acceleration. Aiming at the problem of small thrust rail crossing, a polynomial-based trajectory design method is proposed. Combined with the polar coordinate system, a three-degree-of-freedom trajectory motion model based on polynomial is established, and the trajectory design problem is transformed into the coefficient problem of solving the polynomial. According to the kinematics characteristics of the trajectory, the constraint equations are established, and the least fuel consumption is taken as the performance index , The method of sequence quadratic programming is used to optimize the polynomial coefficients. This method can not only solve the problem of the uncertainty of multiple shape design parameters, but also satisfy the restraints of thrust acceleration. Simulation results verify the correctness and usability of the proposed method. This method can provide some technical references for trajectory design and fuel consumption estimation in the initial stage of mission design.