Chaos in a spacecraft attitude maneuver due to time-periodic perturbations

G. L. Gray; I. Dobson; D. C. Kammer

doi:10.1115/1.2788896

Chaos in a spacecraft attitude maneuver due to time-periodic perturbations

G. L. Gray, I. Dobson, D. C. Kammer

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15 Scopus citations

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 due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion 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 language	English (US)
Pages (from-to)	501-508
Number of pages	8
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	63
Issue number	2
DOIs	https://doi.org/10.1115/1.2788896
State	Published - Jun 1996

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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abstract = "We use Melnikov{\textquoteright}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 due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion are derived and then transformed into a form suitable for the application of Melnikov{\textquoteright}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.",

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T1 - Chaos in a spacecraft attitude maneuver due to time-periodic perturbations

AU - Gray, G. L.

AU - Dobson, I.

AU - Kammer, D. C.

PY - 1996/6

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N2 - 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 due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion 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.

AB - 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 due to the formation of Smale horseshoes which are caused by the oscillation of small subbodies inside the satellite. The equations of motion 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.

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Chaos in a spacecraft attitude maneuver due to time-periodic perturbations

Abstract

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