Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations

Gary L. Gray, Daniel C. Kammer, Ian Dobson

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

5 Citations (Scopus)

Abstract

We use Melnikov's method to study the chaotic dynamics of an attitude transition maneuver of a torque-free rigid body in going from minor axis spin to major axis spin under the influence of small damping. The chaotic motion is caused by the breaking up of heteroclinic orbits in the unperturbed system due to oscillation of small perturbating sub-bodies inside the satellite. The system equations are derived and then transformed into a form suitable for the application of Melnikov's method. An analytical criterion for chaotic motion is derived in terms of the system parameters. This criterion is evaluated for its significance to the design of artificial satellites.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherPubl by Univelt Inc
Pages593-612
Number of pages20
Volume79
Editionpt 1
ISBN (Print)0877033587
StatePublished - 1992
EventProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2) - Colorado Springs, CO, USA
Duration: Feb 24 1992Feb 26 1992

Other

OtherProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2)
CityColorado Springs, CO, USA
Period2/24/922/26/92

Fingerprint

Chaos theory
Satellites
Orbits
Torque
Damping

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

Cite this

Gray, G. L., Kammer, D. C., & Dobson, I. (1992). Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. In Advances in the Astronautical Sciences (pt 1 ed., Vol. 79, pp. 593-612). Publ by Univelt Inc.
Gray, Gary L. ; Kammer, Daniel C. ; Dobson, Ian. / Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. Advances in the Astronautical Sciences. Vol. 79 pt 1. ed. Publ by Univelt Inc, 1992. pp. 593-612
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Gray, GL, Kammer, DC & Dobson, I 1992, Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. in Advances in the Astronautical Sciences. pt 1 edn, vol. 79, Publ by Univelt Inc, pp. 593-612, Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2), Colorado Springs, CO, USA, 2/24/92.

Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. / Gray, Gary L.; Kammer, Daniel C.; Dobson, Ian.

Advances in the Astronautical Sciences. Vol. 79 pt 1. ed. Publ by Univelt Inc, 1992. p. 593-612.

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

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Gray GL, Kammer DC, Dobson I. Chaos in an attitude maneuver of a damped satellite due to time-periodic perturbations. In Advances in the Astronautical Sciences. pt 1 ed. Vol. 79. Publ by Univelt Inc. 1992. p. 593-612