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

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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.
Original languageEnglish
Title of host publicationAstrodynamics 2015
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.
EditorsJ. D. Turner, G. G. Wawrzyniak, W. T. Cerven , M. Majji
Place of PublicationSan Diego, California
Pages707-722
Number of pages16
Publication statusPublished - 13 Aug 2015
EventAAS/AIAA Astrodynamics Specialist Conference 2015 - Colorado, Vail, United States
Duration: 9 Aug 201513 Aug 2015

Publication series

NameAdvances in Astrnautical Sciences
PublisherAmerican Astronautical Society
Volume156
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference 2015
CountryUnited States
CityVail
Period9/08/1513/08/15

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Keywords

  • algebra
  • uncertainty analysis
  • mechanics
  • astrophysics
  • approximation accuracy
  • uniform convergence
  • uncertainty propagation
  • series expansion
  • polynomial algebra
  • orbital mechanics
  • non-intrusive
  • model uncertainties

Cite this

Riccardi, A., Tardioli, C., & Vasile, M. (2015). An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra. In J. D. Turner, G. G. Wawrzyniak, W. T. Cerven , & M. Majji (Eds.), Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A. (pp. 707-722). (Advances in Astrnautical Sciences; Vol. 156). San Diego, California.