基于转移时间约束的异面圆锥曲线变轨算法

在圆锥曲线转移轨道Lagrange方程的基础上,分析了双曲线和多圈飞行椭圆轨道的转移时间与半长轴的几何关系,以及椭圆转移问题的虚焦点位置对长程、短程轨道的约束.给出了一种与初始速度方向相关的转移角定义,以及一种基于Lagrange方程的圆锥曲线变轨计算方法,随后提出了一种以半长轴为迭代变量的变轨算法.通过异面椭圆和双曲线转移两个实例,验证了该算法与Vaughan算法具有相同结果,并具有明确的几何意义.

A noncoplanar conic transfer arithmetic based on transfer time constraint

The geometric relationship of transfer time and semi-major axis for hyperbolic and multi-revolution elliptic orbit is studied based on the Lagrange equation for conic transfer orbit.And the determinative relation of location of vacant focus in elliptic transfer problem with long-path and short-path orbit is also interpreted.A definition of transfer angle related to initial velocity direction and a method of calculating conic transfer orbit based on Lagrange equation are given.Subsequently,an arithmetic usin...