An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra

Riccardi, Annalisa and Tardioli, Chiara and Vasile, Massimiliano; Turner, J. D. and Wawrzyniak, G. G. and Cerven, W. T. and Majji, M., eds. (2015) An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra. In: Astrodynamics 2015. Advances in Astrnautical Sciences . American Astronautical Society, USA, pp. 707-722. ISBN 9780877036296

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Abstract

The paper presents an intrusive approach to propagate uncertainty in orbital mechanics. The approach is based on an expansion of the uncertain quantities in Tchebicheff series and a propagation through the dynamics using a generalised polynomial algebra. Tchebicheff series expansions offer a fast uniform convergence with relaxed continuity and smothness requirements. The paper details the proposed approach and illustrates its applicability through a set of test cases considering both parameter and model uncertainties. This novel intrusive technique is then comapred against its non-intrusive counterpart in terms of approximation accuracy and computational cost.

ORCID iDs

Riccardi, Annalisa ORCID logoORCID: https://orcid.org/0000-0001-5305-9450, Tardioli, Chiara ORCID logoORCID: https://orcid.org/0000-0001-7916-1648 and Vasile, Massimiliano ORCID logoORCID: https://orcid.org/0000-0001-8302-6465; Turner, J. D., Wawrzyniak, G. G., Cerven, W. T. and Majji, M.
  • Item type:Book Section
    ID code:60560
    Dates:
    Date
    Event
    13 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
    Keywords:algebra, uncertainty analysis, mechanics, astrophysics, approximation accuracy, uniform convergence, uncertainty propagation, series expansion, polynomial algebra, orbital mechanics, non-intrusive, model uncertainties, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering
    Subjects:Technology > Motor vehicles. Aeronautics. Astronautics
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
    Depositing user: Pure Administrator
    Date deposited:28 Apr 2017 14:00
    Last modified:18 Jan 2023 12:32
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/60560
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