Publication:
Applied Reachability Analysis for Spacecraft Rendezvous and Docking with a Tumbling Object

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Authors
Zagaris, Costantinos
Romano, Marcello
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Date of Issue
2018-01
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Abstract
The objective of this research is to investigate the dynamics, and reachability characteristics of a spacecraft (commonly referred to as the deputy) conducting proximity maneuvers about a resident space object (commonly referred to as the chief) in a tumbling state of motion. Specifically, the goal is to identify initial conditions from which a specified maneuver is feasible, within a specified amount of time. This research question can be answered by solving a reachability problem, and computing a backwards reachable set. However, the complexity of the relative roto-translational dynamics of this scenario poses challenges for existing reachability tools. This paper presents the 6-DOF roto-translational relative spacecraft dynamics, from the perspective of the tumbling chief. A method based on minimum time optimal control is proposed for computation and visualization of backwards reachable sets for both relative translation and rotation, in the particular case of a chief in circular orbit spinning about a principal axis coinciding with the orbit normal. The proposed method makes the problem more tractable and provides insight into the reachability characteristics of this scenario.
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Report
Description
The article of record as published may be found at http://dx.doi.org/10.2514/6.2018-2220
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Department
Aero and Space Programs Office
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Naval Postgraduate School (U.S.)
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Format
20 p.
Citation
Zagaris, Costantinos, and Marcello Romano. "Applied Reachability Analysis for Spacecraft Rendezvous and Docking with a Tumbling Object." In 2018 Space Flight Mechanics Meeting, p. 2220. 2018.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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