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The Stability of the 24-Hour Satellite

  • Ladislav Sehnal

Abstract

The Stability of the 24-Hour Satellite. The perturbations of the 24-hour satellite, produced by the Moon, Sun and the aspherical shape of the Earth, are investigated. The most important influence of the lunar gravitational attraction is studied with the aid of numerical integration of the equations of motion. The shift of the satellite from its initial position is studied for an ideal 24-orbit. The principal shift will have a periodical character with an amplitude of about 10°.

Keywords

Circular Orbit Secular Change Disturbing Function Resonance Satellite Disturbing Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zusammenfassung

Die Stabilität des 24-Stunden-Satelliten. Die Bahnstörungen des 24-Stunden-Satelliten, bewirkt durch Mond, Sonne und durch Abweichungen des irdischen Gravitationsfeldes von der Kugelsymmetrie, werden untersucht. Der wichtigste Fall, der Einfluß des Gravitationsfeldes des Mondes, wird numerisch behandelt. Die Abweichungen von der 24-Stunden-Bahn werden untersucht. Der Hauptanteil der Drift ist periodisch mit einer Amplitude von etwa 10°.

Résumé

La stabilité du satellite de 24 heures. L’auteur étudie le mouvement du satellite de 24 heures dans le champ de gravité de la Terre et l’influence de la Lune sur son orbite. Le calcul est fait par intégration numérique et l’on calcule la trajectoire du satellite durant une révolution de la Lune autour de la Terre.

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References

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    S. Herrick, R. M. L. Baker, Jr., and C. G. Hilton, Gravitational and Related Constants for Accurate Space Navigation. VIIIth International Astronautical Congress, Barcelona 1957, p. 197. Wien: Springer, 1958.Google Scholar
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    P. J. Message, Some Periodic Orbits in the Restricted Problem of Three Bodies and Their Stabilities. Astronom. J. 64, 226 (1957).MathSciNetADSCrossRefGoogle Scholar
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    A. Cayley, Tables for Development of Functions in the Theory of Elliptic Motion. Mem. RAS 29, 191 (1861).ADSGoogle Scholar
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    Y. Kozaï, The Gravitational Field of the Earth Derived from the Motion of Three Satellites. Astronom. J. 66, 8 (1961).MathSciNetADSCrossRefGoogle Scholar
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    I. D. Jongolovich, Potentiel de l’attraction terrestre. Bull. Inst. Theor. Astronomy 6, 505 (1957).Google Scholar
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    I. G. Izsak, A Determination of the Ellipticity of the Earth’s Equator from the Motion of Two Satellites. Smiths. Inst. Spec. Report, No. 56, 11 (1961).ADSGoogle Scholar

Copyright information

© Springer-Verlag Wien 1962

Authors and Affiliations

  • Ladislav Sehnal
    • 1
  1. 1.Astronomical Institute of the Czechoslovak Academy of SciencesOndřejovČ.S.S.R.

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