A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions

Eric A. Butcher, Ethan Burnett, Jingwei Wang, T. Alan Lovell

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


A new J2-perturbed time-explicit relative orbit model is developed including the effects of nonlinearities up to third order, chief orbit eccentricity, and J2 perturbation of both the chief and deputy orbits. The J2 acceleration is not averaged and the kinematics for perturbed relative motion are treated correctly. Numerical simulations for the case of vanishing chief eccentricity illustrate the lower error of the proposed model compared with that of the HCW solution. Finally, a perturbation technique is used to obtain analytical J2-dependent corrections to the HCW solution and to previously obtained analytical perturbation solutions that account for nonlinearity effects and chief orbit eccentricity, which are special cases of the J2-dependent analytical solution obtained here.

Original languageEnglish (US)
Title of host publicationASTRODYNAMICS 2017
EditorsJohn H. Seago, Nathan J. Strange, Daniel J. Scheeres, Jeffrey S. Parker
PublisherUnivelt Inc.
Number of pages18
ISBN (Print)9780877036456
StatePublished - 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States
Duration: Aug 20 2017Aug 24 2017

Publication series

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


OtherAAS/AIAA Astrodynamics Specialist Conference, 2017
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science


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