Symmetric orbits in the presence of J 2 perturbation

Christopher C. Wilkins, Hong Wong, Vikram Kapila

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

Abstract

In this paper, for Earth-orbiting spacecraft, we present a numerical algorithm to determine initial conditions that yield periodic, symmetric equatorial and polar orbits in the presence of Earth's oblateness. By restricting consideration to orbits which contain trajectories crossing a plane of symmetry orthogonally, we develop a numerical method that efficiently converges to initial conditions yielding a periodic, symmetric orbit. Moreover, we provide two heuristic expressions to approximate numerical values of the initial conditions yielding periodic, symmetric orbits. Simulation results are presented to illustrate the efficacy of the numerical algorithm and the heuristic expressions in generating periodic, symmetric equatorial and polar orbits.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007
Pages4981-5000
Number of pages20
Volume5
Publication statusPublished - 2007
EventAIAA Guidance, Navigation, and Control Conference 2007 - Hilton Head, SC, United States
Duration: Aug 20 2007Aug 23 2007

Other

OtherAIAA Guidance, Navigation, and Control Conference 2007
CountryUnited States
CityHilton Head, SC
Period8/20/078/23/07

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ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Wilkins, C. C., Wong, H., & Kapila, V. (2007). Symmetric orbits in the presence of J 2 perturbation. In Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007 (Vol. 5, pp. 4981-5000)