High-order analytical solutions of bounded relative motions for Coulomb formation flying

NONLINEAR DYNAMICS(2023)

引用 0|浏览0
暂无评分
摘要
Close-proximity Coulomb formation flying offers attractive prospects in multiple astronautical missions. A semi-analytical method of constructing the series solution up to an arbitrary order for the relative motion near the equilibrium of Coulomb formation systems is proposed to facilitate the design of Coulomb formations based on a Lindstedt–Poincaré method. The details of the series expansion and coefficient solution for arbitrary m:n -period orbits are discussed. To verify the effectiveness of the proposed method, the practical convergence domain of the high-order series solution is computed by comparing it with corresponding numerical solutions that satisfy the specified boundary conditions. Simulation results demonstrate the efficacy of the Lindstedt–Poincaré method in constructing series solutions for the relative motion of Coulomb formation systems.
更多
查看译文
关键词
Bounded semi-analytical solution,Coulomb formation flying,Formation configuration design,m:n-period orbits,Practical convergence domain
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要