应用配点法的太阳帆CRTBP周期轨道设计  

Solar sail periodic orbit design using collocation in the circular restricted three-body problem

作　　者：刘刚[1] 马广富[1] 黄静[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2013年第7期7-12,共6页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(61174200)

摘　　要：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.Considering the orbit design of a solar sail in the circular restricted three-body problem（ CRTBP）, the sail attitude and lightness parameter required for stationary solutions and the artificial libration surfaces are investigated. For there is very little intuition about the solution space of the periodic orbit near most artificial libration points, higher-order collocation is utilized to discretize the solution to the equations of motion. This approach converts the original problem to a finite-dimensional nonlinear programming problem with a finite set of variables. The calculation results demonstrate the availability of the approach in generating periodic orbits in solar sail CRTBP as well as its robustness to the initial guess.

关 键 词：太阳帆 圆形限制性三体问题 周期轨道 配点法 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]