Eliminating perigee rotation in J2 perturbed orbits with a constant radial acceleration

Christopher C. Wilkins, Vikram Kapila

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

Abstract

In this paper, for Earth-orbiting spacecraft in inclined, elliptical orbits, we present a control technique that uses a constant specific thrust (i.e., acceleration) to eliminate the rotation of the perigee that occurs due to the J2 perturbation arising from Earth's oblateness. Specifically, by averaging the rate of change of orbital elements, originating from disturbing accelerations over one orbital period, we obtain an expression that relates the secular growth of the argument of the perigee to a constant radial acceleration control. This control is used to eliminate the secular growth of the argument of the perigee due to the J2 perturbation. To justify the framework proposed in this paper, we also provide analytical expressions for the secular growth of all orbital elements caused by constant accelerations in the radial, in-plane, and out-of-plane directions. Simulation results are presented to illustrate the efficacy of the radial acceleration control in eliminating the rotation of the perigee.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages5001-5013
Number of pages13
ISBN (Print)1563479044, 9781563479045
DOIs
StatePublished - 2007
EventAIAA Guidance, Navigation, and Control Conference 2007 - Hilton Head, SC, United States
Duration: Aug 20 2007Aug 23 2007

Publication series

NameCollection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007
Volume5

Other

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

ASJC Scopus subject areas

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

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