航空学报2026，Vol.47Issue(7)：260-271,12.DOI:10.7527/S1000-6893.2025.32708
优化包络面积法三角平动点短周期轨道设计与分析
Design and analysis of short period orbits of triangular translation points by optimized envelope area method
摘要
Abstract
This paper first establishes the circular restricted three-body dynamics model and a high-precision dynami-cal model.To address the limited orbital extension capability along the x direction,an angle extension method for short-period orbits of triangular libration points is proposed,which solves the family of larger-range lunar-Earth triangu-lar libration points'short-period orbits.Considering that short-period orbits around the triangular libration points are prone to divergence under the influence of perturbing forces,thereby limiting their engineering applications,and that the parallel shooting method has large computational loads and poor convergence when calculating multi-orbit short-period orbits,this study proposes efficient calculation methods under high-precision models,including the optimized envelope area method and hybrid method for short-period orbits of triangular libration points.Using the proposed meth-ods,an analysis of the short-period orbit at the lunar L4 point was conducted.The results indicate that under the high-precision model,the envelope of short-period orbits in the lunar-Earth system is approximately consistent with that of circular restricted three-body problem,while orbits are scattered within the envelope.Moreover,short-period orbits calculated at different epochs ultimately stabilize within a certain range.These findings lay the foundation for the practi-cal application of triangular libration points.关键词
圆型限制性三体问题/三角平动点/坐标延拓/包络面积/短周期轨道Key words
circular restricted three-body problem/triangular translation point/coordinate continuation/envelope area/short-periodic orbit分类
航空航天引用本文复制引用
刘勇,范大伟,刘磊,李皓皓,曹鹏飞..优化包络面积法三角平动点短周期轨道设计与分析[J].航空学报,2026,47(7):260-271,12.基金项目
航天飞行动力学技术国家级重点实验室基金 National Key Laboratory Fund for Space Flight Dynamics Technology （）
