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Attitude Stability of a Spherical Satellite

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Selected Papers of Demetrios G. Magiros
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Abstract

The in-orbit-plane angular motion of a spherical satellite with a mass eccentricity is studied, and both aerodynamic and gravitational torques along with large angle motions are considered. The equilibrium attitudes of the motion are investigated and the conditions for stability presented. The stability concepts on which the study is based are delineated in an Appendix.

This is part of the senior author’s paper discussed at the 18th International Astronautical Congress, Belgrade, Yugoslavia, Sept. 1967.

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References

  1. H. Goldstein, “Classical Mechanics,” Reading, Mass., Addison-Wesley Pub. Co., Chap. 5, 1959.

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  2. D. M. Schrello, “Passive Aerodynamic Attitude Stabilization of Near-Earth Satellites, Vol. I, Librations due to Combined Aerodynamic and Gravitational Torques,” WADD Tech. Rep. 61-133, Wright Air Dev. Div., Wright-Patterson A.F.B., Ohio, July 1961, Unclassified.

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  3. P. H. Davison, “Passive Aerodynamic Attitude Stabilization of Near-Earth Satellites, Vol. II, Aerodynamic Analysis,” WADD Tech. Rep. 61-133, Wright Air Dev. Div., Wright-Patterson A.F.B., Ohio, July 1961, Unclassified.

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  4. W. Leighton, “On the Construction of Liapunov Functions for Certain Autonomous Nonlinear Differential Equations,” Contributions to Differential Equations, New York, Interscience Pub. Co., p. 368, 1963.

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  5. D. G. Magiros, “On Stability Definitions of Dynamical Systems,” Proc. Nat. Acad. Sci., Vol. 53, No. 6, pp. 1288–1294, June 1965.

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  6. N. Minorsky, “Nonlinear Oscillations,” Princeton, N. J., D. Van Nostrand Co. Inc., 1962

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  7. Nam Tum Po, “On the Rotational Motion of a Spherical Satellite Under the Action of Retarding Aerodynamical Moments,” Leningrad Univ., Math., Mech. and Astronomical Ser. No. 19, Vol. 4, pp. 129–134, 1964.

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© 1985 D. Reidel Publishing Company, Dordrecht, Holland

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Magiros, D.G., Dennison, A.J. (1985). Attitude Stability of a Spherical Satellite. In: Tzafestas, S.G. (eds) Selected Papers of Demetrios G. Magiros. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5368-0_32

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  • DOI: https://doi.org/10.1007/978-94-009-5368-0_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8869-5

  • Online ISBN: 978-94-009-5368-0

  • eBook Packages: Springer Book Archive

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