University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Rigorous computation of orbital conjunctions

Armellin, R, Morselli, A, Di Lizia, P and Lavagna, M (2012) Rigorous computation of orbital conjunctions Advances in Space Research, 50 (5). pp. 527-538.

Text (licence)
Available under License : See the attached licence file.

Download (33kB) | Preview


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.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Armellin, R
Morselli, A
Di Lizia, P
Lavagna, M
Date : 1 September 2012
DOI : 10.1016/j.asr.2012.05.011
Copyright Disclaimer : © 2012 COSPAR. Published by Elsevier Ltd. All rights reserved.
Uncontrolled Keywords : Orbital conjunctions, Near Earth Objects, Space debris, Taylor models
Depositing User : Symplectic Elements
Date Deposited : 30 Nov 2016 08:56
Last Modified : 31 Oct 2017 18:58

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800