Comparison of non-intrusive approaches to uncertainty propagation in orbital mechanics

Tardioli, Chiara and Kubicek, Martin and Vasile, Massimiliano and Minisci, Edmondo and Riccardi, Annalisa; Majji, Manoranjan and Turner, James D. and Wawrzyniak, Geoff G. and Cerven, William Todd, eds. (2015) Comparison of non-intrusive approaches to uncertainty propagation in orbital mechanics. In: Astrodynamics 2015. Advances in Astrnautical Sciences . American Astronautical Society, USA, pp. 3979-3992. ISBN 9780877036296

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Abstract

The paper presents four different non-intrusive approaches to the propagation of uncertainty in orbital dynamics with particular application to space debris orbit analysis. Intrusive approaches are generally understood as those methods that require a modification of the original problem by introducing a new algebra or by directly embedding high-order polynomial expansions of the uncertain quantities in the governing equations. Non-intrusive approaches are instead based on a polynomial representations built on sparse samples of the system response to the uncertain quantities. The paper will present a standard Polynomial Chaos Expansion, an Uncertain Quantification-High Dimensional Model Representation, a Generalised Kriging model and an expansion with Tchebycheff polynomials on sparse grids. The work will assess the computational cost and the suitability of these methods to propagate different type of orbits.

ORCID iDs

Tardioli, Chiara ORCID logoORCID: https://orcid.org/0000-0001-7916-1648, Kubicek, Martin ORCID logoORCID: https://orcid.org/0000-0002-9800-1209, Vasile, Massimiliano ORCID logoORCID: https://orcid.org/0000-0001-8302-6465, Minisci, Edmondo ORCID logoORCID: https://orcid.org/0000-0001-9951-8528 and Riccardi, Annalisa ORCID logoORCID: https://orcid.org/0000-0001-5305-9450; Majji, Manoranjan, Turner, James D., Wawrzyniak, Geoff G. and Cerven, William Todd
  • Item type:Book Section
    ID code:58794
    Dates:
    Date
    Event
    9 August 2015
    Published
    20 April 2015
    Accepted
    Notes:This paper was originally presented at the AAS/AIAA Astrodynamics Specialist Conference held August 9-13, 2015, Vail, Colorado, U.S.A., and was originally published in the American Astronautical Society (AAS) publication Astrodynamics 2015, edited by Manoranjan Majji, James D. Turner, Geoff G. Wawrzyniak and William Todd Cerven, American Astronautical Society (AAS) Advances in the Astronautical Sciences, Volume 156, 2016, pp. 4205-4220 (Copyright © 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com
    Subjects:Technology > Motor vehicles. Aeronautics. Astronautics
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Depositing user: Pure Administrator
    Date deposited:24 Nov 2016 12:17
    Last modified:11 Nov 2024 15:09
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/58794
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