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Rigorous computation of orbital conjunctions

Rigorous computation of orbital conjunctions
Rigorous computation of orbital conjunctions
The manuscript addresses the problem of computing conjunctions either between Near Earth Objects and our planet or space debris and operative spacecraft. The problem is formulated as a global optimization problem, solved rigorously using Taylor models. With this technique, narrow bounds of the objective function are computed on sub-portions of the search space by combining high order Taylor approximations of the function with interval enclosures of the remainder terms. An algorithm based on differential algebra is then presented to nonlinearly describe the effect that uncertainties on the initial states produce on the time and distance of closest approach. This is represented with high order Taylor maps which can be potentially used for the implementation of innovative algorithms for risk assessment, avoiding the main assumptions of current approaches. Asteroid Apophis and a threatening condition between two geostationary satellites are considered as examples to analyze the features of the proposed methods.
orbital conjunctions, near earth objects, space debris, taylor models
0273-1177
527-538
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Morselli, Alessandro
d60a83ab-e0f6-43f5-b2fe-b03b940f7956
Di Lizia, Pierluigi
f86916ba-a73b-42a9-8247-558335c21f22
Lavagna, Michèle
f20bb48e-35e1-4e54-bc43-59c18ba37a14
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Morselli, Alessandro
d60a83ab-e0f6-43f5-b2fe-b03b940f7956
Di Lizia, Pierluigi
f86916ba-a73b-42a9-8247-558335c21f22
Lavagna, Michèle
f20bb48e-35e1-4e54-bc43-59c18ba37a14

Armellin, Roberto, Morselli, Alessandro, Di Lizia, Pierluigi and Lavagna, Michèle (2012) Rigorous computation of orbital conjunctions. Advances in Space Research, 50 (5), 527-538. (doi:10.1016/j.asr.2012.05.011).

Record type: Article

Abstract

The manuscript addresses the problem of computing conjunctions either between Near Earth Objects and our planet or space debris and operative spacecraft. The problem is formulated as a global optimization problem, solved rigorously using Taylor models. With this technique, narrow bounds of the objective function are computed on sub-portions of the search space by combining high order Taylor approximations of the function with interval enclosures of the remainder terms. An algorithm based on differential algebra is then presented to nonlinearly describe the effect that uncertainties on the initial states produce on the time and distance of closest approach. This is represented with high order Taylor maps which can be potentially used for the implementation of innovative algorithms for risk assessment, avoiding the main assumptions of current approaches. Asteroid Apophis and a threatening condition between two geostationary satellites are considered as examples to analyze the features of the proposed methods.

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More information

e-pub ahead of print date: 23 May 2012
Published date: 1 September 2012
Keywords: orbital conjunctions, near earth objects, space debris, taylor models
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 358464
URI: https://eprints.soton.ac.uk/id/eprint/358464
ISSN: 0273-1177
PURE UUID: e640e424-c6db-4639-92cb-6893fd4533cd

Catalogue record

Date deposited: 07 Oct 2013 10:54
Last modified: 18 Jul 2017 03:29

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