線形化衛星相対運動問題における基本解の幾何学的視点
Geometric Perspectives on Fundamental Solutions in the Linearized Satellite Relative Motion Problem
閉じた主軌道周りの線形化相対運動解を効率的にパラメータ化するため、異なる座標系間のLyapunov-Floquet変換の解析的関係を明らかにし、自然な近接相対運動の迅速な計算と探索を可能にした。
著者: Ethan Burnett, Hanspeter Schaub
分類: cs.RO, physics.space-ph
原文アブストラクト
Understanding natural relative motion trajectories is critical to enable fuel-efficient multi-satellite missions operating in complex environments. This paper studies the problem of computing and efficiently parameterizing satellite relative motion solutions for linearization about a closed chief orbit. By identifying the analytic relationship between Lyapunov-Floquet transformations of the relative motion dynamics in different coordinate systems, new means are provided for rapid computation and exploration of the types of close-proximity natural relative motion available in various applications. The approach is demonstrated for the Keplerian relative motion problem with general eccentricities in multiple coordinate representations. The Keplerian assumption enables an analytic approach, leads to new geometric insights, and allows for comparison to prior linearized relative motion solutions.