De-orbiting and re-entry analysis with generalised intrusive polynomial expansions

Carlos Ortega Absil, Romain Serra, Annalisa Riccardi, Massimiliano Vasile

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

8 Citations (Scopus)
59 Downloads (Pure)


Generalised Intrusive Polynomial Expansion (GIPE) is a novel method for the propagation of multidimensional compact sets through dynamical systems. It generalises the more widely-known Taylor Differential Algebra in that it allows the use of generic polynomial representations of a multi-dimensional set. In particular the paper proposes the use of truncated Tchebycheff series. Unlike Taylor expansions, that are not generally convergent, Tchebycheff expansions provide fast uniform convergence with relaxed continuity and smoothness requirements, guaranteeing near-minimax approximation. This methodology has proven to be competitive for uncertainty propagation in orbital dynamics, especially when dealing with a large number of uncertain variables. Moreover, it provides the user with a complete polynomial representation of the uncertain region at any point of the propagation, allowing remarkable gain of insight into the underlying properties of the uncertain dynamics. The paper presents the application of the GIPE approach to the end-of-life analysis of Low Earth Orbit satellites, with special emphasis on the case of the de-orbiting and re-entry of GOCE and the de-orbiting of objects with high area to mass ratio. The effect of various sources of uncertainty on the end-of-life dynamics is thus analysed, such as the drag model or the accuracy of the initial orbit determination.

Original languageEnglish
Title of host publication67th International Astronautical Congress
Place of PublicationParis
Number of pages12
Publication statusPublished - 26 Sept 2016
Event67th International Astronautical Congress - Expo Guadalajara, Guadalajara, Mexico
Duration: 26 Sept 201630 Sept 2016
Conference number: 67

Publication series

NameProceedings of the International Astronautical Congress, IAC
PublisherInternational Astronautical Federation
ISSN (Print)0074-1795


Conference67th International Astronautical Congress
Abbreviated titleIAC
Internet address


  • re-entry analysis
  • generalised intrusive polynomial expansion
  • Taylor Differential Algebra
  • multidimensional compact sets
  • Tchebycheff series
  • end-of-life analysis
  • low-Earth orbit satellites
  • de-orbiting


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