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

Armellin, R, Di Lizia, P, Berz, M and Makino, K (2010) Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization Celestial Mechanics and Dynamical Astronomy, 107 (3). pp. 377-395.

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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.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
AuthorsEmailORCID
Armellin, RUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Berz, MUNSPECIFIEDUNSPECIFIED
Makino, KUNSPECIFIEDUNSPECIFIED
Date : July 2010
Identification Number : https://doi.org/10.1007/s10569-010-9281-7
Copyright Disclaimer : © Springer Science+Business Media B.V. 2010.
Uncontrolled Keywords : Taylor models, Rigorous computation, MOID, Asteroids and comets, Close encounters, Apophis
Depositing User : Symplectic Elements
Date Deposited : 30 Nov 2016 10:37
Last Modified : 30 Nov 2016 10:37
URI: http://epubs.surrey.ac.uk/id/eprint/813000

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