Date of Award:

12-2020

Document Type:

Thesis

Degree Name:

Doctor of Philosophy (PhD)

Department:

Mechanical and Aerospace Engineering

Committee Chair(s)

David Geller

Committee

David Geller

Committee

Stephen Whitmore

Committee

Geordie Richards

Committee

Matthew Harris

Committee

Jacob Gunther

Abstract

A safety ellipse is a type of relative motion trajectory that is commonly used for unmanned rendezvous and proximity operations. As the name suggests, safety ellipses are passively safe relative motion trajectories, which means that their natural motion inherently maintains a low collision risk. The focus of this dissertation is the derivation, analysis, and application of guidance strategies that reconfigure, establish, and exit a safety ellipse. The guidance strategies consist of a set of ∆v vectors and impulse times, all written in closed form. Through applications of optimal control theory and parameter optimization, it is shown that these maneuver sequences are fuel optimal for a range of practical safety ellipse reconfiguration, establishment, and exit scenarios. It is also shown that the resulting transfer trajectories remain passively safe across the same range of scenarios.

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