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Non-linear Planar Oscillation of a Satellite in Elliptical Orbit Under the Influence of External Forces of General Nature

  • R. B. Singh
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 127)

Abstract

The present work is devoted to the analysis of non-linear planar oscillation of a satellite launched in an elliptical orbit under the influence of external forces of general nature such as accretion and tidal effects etc. These forces are considered in the form of a frictional force and a periodic force. Throughout the discussion the Bogoliubov,Krylov and Mitropolsky(BKM) method has been used. The analysis regarding the stability of the stationary planar oscillation of a satellite near the resonance frequency shows that discontinuity occurs in the amplitude of the oscillation at a frequency of the external periodic force which is less than the frequency of the natural oscillation. This discontinuity in the amplitude of oscillation may cause noticeable change in the orbital parameters of the satellite.

Keywords

General Nature Cosmic Research Elliptical Orbit Resonance Curve Tidal Effect 
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References

  1. Beletsky, V.V.: 1965, Motion of Artificial satellite relative to the Centee of Mass, NAUKA, (Russian).Google Scholar
  2. Bogoliubov, N.N., and Y.A. Mitropolsky: 1961, Asymptotic Methods in the Theory of Nonlinear Oscillations, Hindustan Publishing Corporation, Delhi-6.Google Scholar
  3. Cherousko, F.L.: ‘About the Motion of the Satellite Relatie to its Centre of Mass under the action of Gravitational Moments’, Applied Mathematics and Mechanics, Vol. 27, No. 3, pp. 474-483 (Russian)Google Scholar
  4. Singh, R.B.: 1973, ‘Nonlinear Planar Oscillation of the Satellite in Elliptical Orbit’, Cosmic Research, Vol. 11,No.2.Google Scholar
  5. Zlatanstov,V.A., D.N. Okhotsimsky, V.A.Sarichev, and A.F.Torghevsky:1964, ‘Periodic solution of the Problem of Planar Oscillation of the Satellite in Elliptical Orbit’.Cosmic Research, Vol.2, No.5.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • R. B. Singh
    • 1
  1. 1.Department of MathematicsBihar UniversityMuzaffarpurIndia

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