Rapid reachability analysis of single impulse spacecraft relative motion maneuvers

Document Type

Conference Proceeding

Publication Date

8-9-2020

Abstract

Reachability analysis provides valuable insights into the behavior of dynamical systems but is often a computationally expensive process. This paper uses ellipsoidal techniques to formulate analytical approximations of reachable sets for spacecraft relative motion impulsive maneuvers. The analytical state transition matrix for the linearized relative equations of motion allows for an analytical expression of a terminal reachable set, a zero-input reachable set, and a zero-state reachable set. These sets are subject to a limited impulse magnitude and uncertainty in the initial relative state. Computation of these sets involves ellipsoidal operations, which are computationally efficient thus making onboard implementation possible.

Comments

This conference paper was later published in Advances in the Astronautical Sciences, Volume 175, Pages 3769-3781, 2021

Source Publication

2020 AAS/AIAA Astrodynamics Specialist Conference

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