Closed-form solutions for satellite relative motion in an axially-symmetric gravitational field

Vladimir Martinuşi, Pini Gurfil

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A different approach is proposed for the study of satellite relative motion in an axially-symmetric gravitational field. Instead of using the Keplerian motion as the generating nominal orbit for the absolute motion, another "unperturbed" orbit is proposed instead: An equatorial orbit about an oblate planet. Based on the superintegrability of such motion, closed-form solutions for the equatorial relative motion are obtained. Analytic conditions for the periodicity of the relative motion in a generic central force field are presented, and utilized to design long-term bounded relative motion under high-order even zonal perturbations.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2011 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the 21st AAS/AIAA Space Flight Mechanics Meeting
Pages1525-1544
Number of pages20
StatePublished - 2011
Event21st AAS/AIAA Space Flight Mechanics Meeting - New Orleans, LA, United States
Duration: 13 Feb 201117 Feb 2011

Publication series

NameAdvances in the Astronautical Sciences
Volume140

Conference

Conference21st AAS/AIAA Space Flight Mechanics Meeting
Country/TerritoryUnited States
CityNew Orleans, LA
Period13/02/1117/02/11

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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