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针对太阳帆航天器在圆形限制性三体问题(CRTBP)中人工拉格朗日点附近周期轨道的设计问题,首先分析了CRTBP中太阳帆人工拉格朗日点的存在条件和分布,然后针对大多数人工拉格朗日点附近周期轨道信息难以获取的特点,采用高阶全局配点法将原非线性方程求解问题转化为非线性规划问题,并最终得到周期轨道的近似解.运算结果表明通过该方法可以得到三维空间中人工拉格朗日点附近周期轨道,且对初始猜测值依赖程度不高,为太阳帆在高精度模型中的周期轨道设计奠定了基础.
Aiming at the design problem of solar orbital spacecraft in circular restricted three-body problem (CRTBP), the existence and distribution of artificial Lagrange points in the CRTBP are analyzed firstly. Then, Aiming at the difficulty of obtaining periodic orbit information near most artificial Lagrange points, the high-order global collocation method is used to transform the original nonlinear equation solving problem into a nonlinear programming problem and finally obtain the approximate solution of the periodic orbit. By this method, periodic orbits around the artificial Lagrange point in three-dimensional space can be obtained, and the dependence on the initial guess is not high, which lays the foundation for the periodic orbit design of the solar sail in the high-precision model.