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Nonlinear mapping of uncertainties in celestial mechanics

Nonlinear mapping of uncertainties in celestial mechanics
Nonlinear mapping of uncertainties in celestial mechanics
The problem of nonlinear uncertainty propagation represents a crucial issue in celestial mechanics. In this paper, a method for nonlinear propagation of uncertainty based on differential algebra is presented. Working in the differential algebra framework enables a general approach to nonlinear uncertainty propagation that can provide highly accurate estimate with low computational cost. The nonlinear mapping of the statistics is shown here, adopting the two-body problem as the working framework, including coordinate system transformations. The general feature of the proposed method is also demonstrated by presenting long-term integrations in complex dynamic systems, such as the n-body problem or the simplified general perturbation model.
0731-5090
48-63
Valli, M.
6a21f5f6-af86-4c4e-9eef-1e82674408d8
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, P.
0f45735c-5c72-418f-945d-a5688f10c71e
Lavagna, M.R.
03fbd675-4bae-4aec-a89d-f516fa980c50
Valli, M.
6a21f5f6-af86-4c4e-9eef-1e82674408d8
Armellin, R.
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, P.
0f45735c-5c72-418f-945d-a5688f10c71e
Lavagna, M.R.
03fbd675-4bae-4aec-a89d-f516fa980c50

Valli, M., Armellin, R., Di Lizia, P. and Lavagna, M.R. (2013) Nonlinear mapping of uncertainties in celestial mechanics. Journal of Guidance, Control, and Dynamics, 36 (1), 48-63. (doi:10.2514/1.58068).

Record type: Article

Abstract

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

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More information

Published date: January 2013
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 358467
URI: http://eprints.soton.ac.uk/id/eprint/358467
ISSN: 0731-5090
PURE UUID: 91f85e84-583f-4517-b06a-7c150870eed6

Catalogue record

Date deposited: 07 Oct 2013 11:00
Last modified: 16 Jul 2019 21:21

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