A global solution in the resonance problem of Poincaré View Full Text


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Article Info

DATE

1973-09

AUTHORS

Alan H. Jupp

ABSTRACT

Poincaré's procedure for the construction of a global solution for a particular class of resonance problem is investigated, with particular emphasis placed on those motions corresponding to circulation in the phase space. It is demonstrated that an error on Poincaré's part leads to an impractical, yet formally acceptable, procedure.The merits of alternative methods are discussed, with particular reference to the studies of Garfinkel and the author. More... »

PAGES

213-216

References to SciGraph publications

  • 1972-03. Regularization in the Ideal Resonance Problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1972-01. A second-order solution of the Ideal Resonance Problem by Lie series in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1973-04. On the global solution in the resonance problem of Poincaré in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01231416

    DOI

    http://dx.doi.org/10.1007/bf01231416

    DIMENSIONS

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