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Nonlinear management of uncertainties in celestial mechanics

Valli, M, Armellin, R, Di Lizia, P and Lavagna, MR (2012) Nonlinear management of uncertainties in celestial mechanics In: 22nd AAS/AIAA Space Flight Mechanics Meeting, 2012, 2012-01-29 - 2012-02-02, Charleston, U.S.A..

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Abstract

The problem of nonlinear uncertainty propagation represents a crucial issue in celestial mechanics. In this paper a method for nonlinear propagation of uncertainties based on differential algebra is presented. Working in the differential algebra framework enables a general approach to nonlinear uncertainty propagation that can provide high estimate accuracy with low computational burden. The nonlinear mapping of the statistics is here shown adopting the two-body problem as working framework, including coordinate system transformations. The general feature of the proposed method is also demonstrated by presenting long-term integrations in a complex dynamical framework, such as the n-body problem or the HANDE model.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
AuthorsEmailORCID
Valli, MUNSPECIFIEDUNSPECIFIED
Armellin, RUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Lavagna, MRUNSPECIFIEDUNSPECIFIED
Date : 2012
Copyright Disclaimer : Copyright 2014 by American Astronautical Society
Contributors :
ContributionNameEmailORCID
EditorMcAdams, JVUNSPECIFIEDUNSPECIFIED
EditorMcKinley, DPUNSPECIFIEDUNSPECIFIED
EditorBerry, MMUNSPECIFIEDUNSPECIFIED
EditorJenkins, KLUNSPECIFIEDUNSPECIFIED
PublisherUnivelt Inc., UNSPECIFIEDUNSPECIFIED
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 09 Dec 2016 11:56
Last Modified : 09 Dec 2016 11:56
URI: http://epubs.surrey.ac.uk/id/eprint/813080

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