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A high order method for orbital conjunctions analysis: Sensitivity to initial uncertainties

Morselli, A, Armellin, R, Di Lizia, P and Bernelli Zazzera, F (2014) A high order method for orbital conjunctions analysis: Sensitivity to initial uncertainties Advances in Space Research, 53 (3). pp. 490-508.

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Abstract

A high order method to quickly assess the effect that uncertainties produce on orbital conjunctions through a numerical high-fidelity propagator is presented. In particular, the dependency of time and distance of closest approach to initial uncertainties on position and velocity of both objects involved in a conjunction is studied. The approach relies on a numerical integration based on differential algebraic techniques and a high-order algorithm that expands the time and distance of closest approach in Taylor series with respect to relevant uncertainties. The modeled perturbations are atmospheric drag, using NRLMSISE-00 air density model, solar radiation pressure with shadow, third body perturbation using JPL's DE405 ephemeris, and EGM2008 gravity model. The polynomial approximation of the final position is used as an input to compute analytically the expansion of time and distance of closest approach. As a result, the analysis of a close encounter can be performed through fast, multiple evaluations of Taylor polynomials. Test cases with objects ranging from LEO to GEO regimes are considered to assess the performances and the accuracy of the proposed method.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Morselli, AUNSPECIFIEDUNSPECIFIED
Armellin, RUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Bernelli Zazzera, FUNSPECIFIEDUNSPECIFIED
Date : 1 February 2014
Identification Number : 10.1016/j.asr.2013.11.038
Copyright Disclaimer : 2013 COSPAR. Published by Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Uncontrolled Keywords : Space debris, Conjunction analysis, Differential algebra
Depositing User : Symplectic Elements
Date Deposited : 29 Nov 2016 14:50
Last Modified : 31 Oct 2017 18:58
URI: http://epubs.surrey.ac.uk/id/eprint/812986

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