Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper

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

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

10 Citations (Scopus)

Abstract

Melnikov's method is used to analytically study chaotic dynamics in the attitude transition maneuver of a torque-free rigid body in going from minor axis to major axis spin under the influence of viscous damping. The equations of motion are presented and then transformed into a form suitable for the application of Melnikov's method. The analytical criterion for chaos is in the form of an inequality that is a sufficient condition for chaotic dynamics in terms of the system parameters. The criterion is evaluated for its physical significance and for its application to the design of satellites.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherPubl by Univelt Inc
Pages167-184
Number of pages18
Editionpt 1
ISBN (Print)0877033684
StatePublished - 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

Fingerprint

Spacecraft
Chaos theory
Equations of motion
Torque
Damping
Satellites

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Gray, G. L., Kammer, D. C., & Dobson, I. (1993). Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper. In Advances in the Astronautical Sciences (pt 1 ed., pp. 167-184). (Advances in the Astronautical Sciences; Vol. 82, No. pt 1). Publ by Univelt Inc.
Gray, Gary L. ; Kammer, Daniel C. ; Dobson, Ian. / Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper. Advances in the Astronautical Sciences. pt 1. ed. Publ by Univelt Inc, 1993. pp. 167-184 (Advances in the Astronautical Sciences; pt 1).
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Gray, GL, Kammer, DC & Dobson, I 1993, Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper. in Advances in the Astronautical Sciences. pt 1 edn, Advances in the Astronautical Sciences, no. pt 1, vol. 82, Publ by Univelt Inc, pp. 167-184, Proceedings of the 3rd Annual Spaceflight Mechanics Meeting. Part 1 (of 2), Pasadena, CA, USA, 2/22/93.

Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper. / Gray, Gary L.; Kammer, Daniel C.; Dobson, Ian.

Advances in the Astronautical Sciences. pt 1. ed. Publ by Univelt Inc, 1993. p. 167-184 (Advances in the Astronautical Sciences; Vol. 82, No. pt 1).

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

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Gray GL, Kammer DC, Dobson I. Detection of chaotic saddles in an attitude maneuver of a spacecraft containing a viscous damper. In Advances in the Astronautical Sciences. pt 1 ed. Publ by Univelt Inc. 1993. p. 167-184. (Advances in the Astronautical Sciences; pt 1).