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讨论了地月转移轨道设计中所涉及的若干关键问题。首先建立了改进的双圆模型,提高了建模精度,给出了会合坐标系之间的状态向量变换方法;然后针对Koon的文章中地月L2点流形选取存在的问题,给出了正确的流形选择方法,并基于算例给予了证明,分析了坐标变换导致的Jacobi能量不守恒问题,针对该问题提出了一种新的Poincare截面法并得到了优化Delta V能量消耗的转移轨道;最后,采用参数化方法求解Poincare截面上的拼接初始状态向量,给出了算例,证明了所提出方法的有效性。
Several key issues involved in the design of Earth-Moon transfer orbit are discussed. Firstly, an improved bivariate model is established and the modeling accuracy is improved. A state vector transformation method is proposed for the coordinate system. Then, according to Koon’s article, , And proved by the example. The problem of unsteady Jacobi energy caused by coordinate transformation is analyzed. A new Poincare cross section method is proposed to solve this problem and a transfer trajectory to optimize Delta V energy consumption is obtained. Finally, the parametric method is used to solve the initial state vector of the spline in the Poincare section, and an example is given to show the effectiveness of the proposed method.