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Account of additional perturbations in canonical system solutions obtained by Lie transforms

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Abstract

The analytical or semi-analytical solution of some canonical system (basic theory) constructed by the perturbation technique based on the Lie transforms is supposed to be known. A method allowing one to obtain the solution of perturbed canonical or non-canonical system using the known basic theory is discussed.

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References

  • Brouwer, D.: 1959,Astron. J. 64, 378.

    Google Scholar 

  • Brouwer, D. and Hori, G.-i.: 1961,Astron. J. 66, 193.

    Google Scholar 

  • Deprit, A.: 1969,Celest. Mech. 11, 12.

    Google Scholar 

  • Giacaglia, G. E. O.: 1972,Perturbation Methods in Non-Linear Systems, Springer-Verlag, New York/Heidelberg/Berlin.

    Google Scholar 

  • Hori, G.-I.: 1966,Publ. Astron. Soc. Japan 18, 287.

    Google Scholar 

  • Kinoshita, H.: 1977, SAO Special Report, N 379, 1.

  • Mersman, W. A.: 1970, in G. E. O. Giacaglia (ed.),Periodic Orbits, Stability and Resonances, D. Reidel Publ. Co., Dordrecht, Holland, p. 232.

    Google Scholar 

  • Tupikova, I. V.: 1983,Astron. J. Letters (U. S. S. R.) 9, 750.

    Google Scholar 

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Tupikova, I.V. Account of additional perturbations in canonical system solutions obtained by Lie transforms. Celestial Mechanics 33, 337–342 (1984). https://doi.org/10.1007/BF01241048

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  • DOI: https://doi.org/10.1007/BF01241048

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