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Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization

Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization
Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization
A novel method to compute all critical points of the distance function between two Keplerian orbits (either bounded or unbounded) with a common focus is presented. The problem is attacked as a global optimization problem, solved by a rigorous global optimizer based on Taylor models. Thus, thigh enclosures of the stationary points are obtained. The embedded capability of the method of delivering high-order Taylor expansions is then used to analyze how uncertain orbital parameters affect the position of the stationary points and the associated distance values. Sample orbital sets and Apophis asteroid are used as test cases
0923-2958
377-395
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Lizia, P. Di
ee47f1b1-2131-4e5d-a18d-c67142d43bc5
Berz, M.
95c4e8a8-e1d9-4ad7-91c6-2832b7a1dd02
Makino, K.
833360d9-db7d-42ac-b184-98c31b0c9fe0
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Lizia, P. Di
ee47f1b1-2131-4e5d-a18d-c67142d43bc5
Berz, M.
95c4e8a8-e1d9-4ad7-91c6-2832b7a1dd02
Makino, K.
833360d9-db7d-42ac-b184-98c31b0c9fe0

Armellin, R., Lizia, P. Di, Berz, M. and Makino, K. (2010) Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization. Journal of Celestial Mechanics and Dynamical Astronomy, 107 (3), 377-395. (doi:10.1007/s10569-010-9281-7).

Record type: Article

Abstract

A novel method to compute all critical points of the distance function between two Keplerian orbits (either bounded or unbounded) with a common focus is presented. The problem is attacked as a global optimization problem, solved by a rigorous global optimizer based on Taylor models. Thus, thigh enclosures of the stationary points are obtained. The embedded capability of the method of delivering high-order Taylor expansions is then used to analyze how uncertain orbital parameters affect the position of the stationary points and the associated distance values. Sample orbital sets and Apophis asteroid are used as test cases

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More information

Published date: July 2010
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 360603
URI: https://eprints.soton.ac.uk/id/eprint/360603
ISSN: 0923-2958
PURE UUID: 5e0a049b-f950-4ac9-9124-fb859e7d7cc7

Catalogue record

Date deposited: 16 Dec 2013 13:09
Last modified: 16 Jul 2019 21:15

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