Linearized relative orbital motion dynamics in a rotating second degree and order gravity field

Ethan R. Burnett, Eric A. Butcher

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

5 Scopus citations


A new linearized time-varying ODE model is introduced for spacecraft relative motion in a rotating second degree and order gravity field. The model is standalone and does not require integration of the chief orbit, but is restricted for use with near-circular chief orbits. Previous models have considered the effect of C20 = – J2 alone, as well as additional zonal harmonics. However, the addition of C22 introduces additional time-varying dynamical effects due to the rotation of the primary body. Numerical simulations show that the newly obtained linearized model successfully captures these effects.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2018
EditorsPuneet Singla, Ryan M. Weisman, Belinda G. Marchand, Brandon A. Jones
PublisherUnivelt Inc.
Number of pages20
ISBN (Print)9780877036579
StatePublished - 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2018 - Snowbird, United States
Duration: Aug 19 2018Aug 23 2018

Publication series

NameAdvances in the Astronautical Sciences
ISSN (Print)0065-3438


ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2018
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science


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