貪欲な多項式後退スイープによる時間最適衝突回避
Time-Optimal Collision Avoidance Via a Greedy Polynomial Backward Sweep
低推力衛星の衝突回避において、安全を保証しつつ開始可能な最も遅いマヌーバ開始時刻を求める、貪欲な時間最適後退スイープ法を提案した。
著者: Zeno Pavanello, Frank De Veld, Roberto Armellin
分類: math.OC, cs.RO
原文アブストラクト
Spacecraft collision avoidance for low-thrust satellites often requires determining not only how to maneuver, but also how late a maneuver can begin while still ensuring safety. This paper presents a greedy time-optimal (GTO) backward-sweep method to find the latest maneuver initiation time. The method starts from the nominal time of closest approach and iteratively propagates the maneuver backward in time, selecting at each step the thrust direction that locally minimizes the chosen danger metric. Differential algebra is used to efficiently propagate state sensitivities and update the time of closest approach online. The method is tested on a large dataset of conjunctions, using both miss distance and probability of collision as safety metrics. The approach achieves accurate results and only a small loss of optimality relative to an optimal-control benchmark, while retaining runtimes suitable for on-board implementation.