Angles-only data association using directional discriminant analysis

Kent, JT orcid.org/0000-0002-1861-8349, Bhattacharjee, S orcid.org/0000-0002-0862-9108, Hussein, IH et al. (1 more author) (2017) Angles-only data association using directional discriminant analysis. In: Spaceflight Mechanics 2017: Proceedings of the 27th AAS/AIAA Space Flight Mechanics Meeting held February 5-9, 2017, San Antonio, Texas, U.S.A. 27th AAS/AIAA Space Flight Mechanics Meeting, 05-09 Feb 2017, San Antonio, Texas. Advances in the Astronautical Sciences (160). Univelt , San Diego, California, USA ISBN 978-0-87703-637-1

Abstract

Suppose that for a library of space objects, their predicted angular positions at the current time are available from previous observations, including an assessment of the errors. Given a new angles-only observation at the current time, the objective is to decide which object, if any, in the libary corresponds to the observed object. The Fisher-Bingham-Kent distribution from directional statistics provides a powerful and tractable model to summarize uncertainty and to implement the classic methods of discriminant analysis from multivariate analysis for this data association problem.

Metadata

Item Type:	Proceedings Paper
Authors/Creators:	Kent, JT https://orcid.org/0000-0002-1861-8349 Bhattacharjee, S https://orcid.org/0000-0002-0862-9108 Hussein, IH Jah, MK
Keywords:	Fisher-Bingham-Kent (FBK) distribution; FB5e distribution; posterior probability; tail probability
Dates:	Published: October 2017 Accepted: 23 February 2017
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds)
Funding Information:	Funder Grant number Air Force Research Lab Munitions Directorate FA9550-16-1-0099
Depositing User:	Symplectic Publications
Date Deposited:	28 Mar 2017 11:44
Last Modified:	22 Nov 2017 16:44
Published Version:	http://www.univelt.com/book=6127
Status:	Published
Publisher:	Univelt
Series Name:	Advances in the Astronautical Sciences
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:114114

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Angles-only data association using directional discriminant analysis

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