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About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitatonal attraction of a triaxial rigid body

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Abstract

In this paper, Poincare (1971) method has been developed to prove the non-existence of additional analytical integral in the degeneration case.

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References

  • Duboshin, G. N.: 1968,Celestial Mechanics. The Foundation Problems and Methods. Moscow.

  • Poincare, A.: 1899,New Methods of Celestial Mechanics, Russian translation. Moscow, v. 1., 1971.

  • Subbotin, M. F.: 1968,Introduction to the Theoretical Astronomy, Moscow.

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  1. Dept. of Theoretical Mechanics, Moscow State University, Moscow, U.S.S.R.

    A. H. Borham

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  1. A. H. Borham
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Borham, A.H. About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitatonal attraction of a triaxial rigid body. Celestial Mechanics 29, 323–328 (1983). https://doi.org/10.1007/BF01228526

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  • DOI: https://doi.org/10.1007/BF01228526

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