Chaos in controlled, gravity gradient satellite pitch dynamics via the method of Melnikov

Gary L. Gray, Mark C. Stabb

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

1 Scopus citations

Abstract

A generalization of Melnikov's method is used to detect chaos in the pitch dynamics of a controlled gravity gradient satellite. Small perturbations to the pitch dynamics are introduced through a nonzero orbital eccentricity and active control. The control is used to stabilize the system about a center equilibrium point in the phase space corresponding to a specific orientation of the satellite. The equations of motion are presented and their geometric structure is discussed. Melnikov's method for high dimensional systems (>2) is applied to these equations and analytical criteria for chaotic motion are derived in terms of the system parameters. These criteria are studied and evaluated for their significance to the design of satellites.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherPubl by Univelt Inc
Pages147-165
Number of pages19
Editionpt 1
ISBN (Print)0877033684
Publication statusPublished - Jan 1 1993
EventProceedings of the 3rd Annual Spaceflight Mechanics Meeting. Part 1 (of 2) - Pasadena, CA, USA
Duration: Feb 22 1993Feb 24 1993

Publication series

NameAdvances in the Astronautical Sciences
Numberpt 1
Volume82
ISSN (Print)0065-3438

Other

OtherProceedings of the 3rd Annual Spaceflight Mechanics Meeting. Part 1 (of 2)
CityPasadena, CA, USA
Period2/22/932/24/93

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Gray, G. L., & Stabb, M. C. (1993). Chaos in controlled, gravity gradient satellite pitch dynamics via the method of Melnikov. In Advances in the Astronautical Sciences (pt 1 ed., pp. 147-165). (Advances in the Astronautical Sciences; Vol. 82, No. pt 1). Publ by Univelt Inc.