Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations-Reference-Cited by-同舟云学术

Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations

Published:1996-06-01 Issue:2 Volume:63 Page:501-508
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Gray G. L.¹,Dobson I.²,Kammer D. C.³

Affiliation:

1. Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA 16802

2. Department of Electrical and Computer Engineering, University of Wisconsin–Madison, Madison, WI 53706

3. Department of Engineering Mechanics and Astronautics, University of Wisconsin-Madison, Madison, Wl 53706

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/63/2/501/5879223/501_1.pdf

Reference28 articles.

1. Adams G. J. , 1980, “Dual-Spin Spacecraft Dynamics During Platform Spinup,” Journal of Guidance and Control, Vol. 3, No. 1, pp. 29–36.

2. Baillieul J. , and LeviM., 1987, “Rotational Elastic Dynamics,” Physica D., Vol. 27, pp. 43–62.

3. Barba, P. M., Furumoto, N., and Leliakov, I. P., 1973, “Techniques for Flat-Spin Recovery of Spinning Satellites,” AIAA Guidance and Control Conference, Key Biscayne, FL, AIAA Paper 73–859.

4. Cochran J. E. , and HollowayH. E., 1980, “Resonances in the Attitude Motions of Asymmetric Dual-Spin Spacecraft,” The Journal of the Astronautical Sciences, Vol. 28, No. 3, pp. 231–254.

5. Cronin D. L. , 1978, “Flat Spin Recovery of a Rigid Asymmetric Spacecraft,” Journal of Guidance and Control, Vol. 1, No. 4, pp. 281–282.

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