Comparison of relative orbital motion perturbation solutions in cartesian and spherical coordinates

Eric Butcher, Ethan Burnett, Ta Alan Lovell

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

2 Scopus citations

Abstract

Previously shown perturbation approaches for unperturbed spacecraft relative motion solutions in Cartesian and spherical coordinates, in which both the chief eccentricity and the normalized separation were treated as order ϵ, are extended in this work to allow for higher chief orbit eccentricity. The relative accuracies of the solutions obtained in Cartesian versus spherical coordinates are explored for a wide range of relative orbit scenarios and perturbation orders. While the use of spherical coordinates eliminates many of the secular terms in the Cartesian solution and extends the range of in-track separations, certain scenarios are found to result in less accuracy.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2017
PublisherUnivelt Inc.
Pages3533-3552
Number of pages20
Volume160
ISBN (Print)9780877036371
StatePublished - 2017
Event27th AAS/AIAA Space Flight Mechanics Meeting, 2017 - San Antonio, United States
Duration: Feb 5 2017Feb 9 2017

Other

Other27th AAS/AIAA Space Flight Mechanics Meeting, 2017
CountryUnited States
CitySan Antonio
Period2/5/172/9/17

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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  • Cite this

    Butcher, E., Burnett, E., & Lovell, T. A. (2017). Comparison of relative orbital motion perturbation solutions in cartesian and spherical coordinates. In Spaceflight Mechanics 2017 (Vol. 160, pp. 3533-3552). Univelt Inc..