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

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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
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
ISSN (Print)0065-3438


ConferenceAAS/AIAA Astrodynamics Specialist Conference 2015
Country/TerritoryUnited States


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


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