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
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Keywords: | Fisher-Bingham-Kent (FBK) distribution; FB5e distribution; posterior probability; tail probability | ||||
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) | ||||
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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 |