Kent, JT orcid.org/0000-0002-1861-8349, Bhattacharjee, S orcid.org/0000-0002-0862-9108, Hussein, H et al. (1 more author) (2017) Orbital error propagation analysis using directional statistics for space objects. In: McMahon, JW, Guo, Y, Leve, FA and Sims, JA, (eds.) 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
As increasing numbers of optical line-of-sight observations become available for space objects, the space situational awareness community is presented with the computationally challenging problem of representing the uncertainty efficiently and accurately. The motion of a space object in orbit about the earth is described by Newtonian mechanics. More specifically, if measurements for the position and velocity at an initial time are available up to Gaussian noise, then point clouds are typically used to describe the propagated uncertainty at later times. In this paper we show that it is possible to describe succinctly the angular part of the position vector at later times using a version of the Fisher-Bingham-Kent distribution from directional statistics.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Keywords: | adapted polar coordinates; Fisher-Bingham-Kent (FBK) distribution; FB5e distribution; sigma points |
Dates: |
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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) |
Funding Information: | Funder Grant number Air Force Research Lab Munitions Directorate FA9550-16-1-0099 |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Mar 2017 11:35 |
Last Modified: | 21 May 2019 14:04 |
Published Version: | http://www.univelt.com/book=6126 |
Status: | Published |
Publisher: | Univelt |
Series Name: | Advances in the Astronautical Sciences |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:114113 |