Notes on Hori Method for Non-Canonical Systems View Full Text


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Article Info

DATE

2003-11

AUTHORS

Sandro da Silva Fernandes

ABSTRACT

In this paper the new approach for the integration theory of the canonical version of Hori method recently proposed is extended to the non-canonical one. It will be shown that the non-homogeneous ordinary differential equation with an auxiliary parameter t* associated with the mth order equation of the algorithm can also be replaced by a non-homogeneous partial differential equation in the time t. Using a generalized canonical approach, the general algorithm proposed by Sessin is then revised; as well as the Lagrange variational equations for the non-canonical version of Hori method. A simplified algorithm derived from Sessin's algorithm is presented for non-linear oscillations problem. More... »

PAGES

307-315

References to SciGraph publications

  • 1983-10. A general algorithm for the determination ofTj(n) andZj*(n) in Hori's method for non-canonical systems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2003-01. Notes on Hori Method for Canonical Systems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1989-03. The generalized canonical form of Hori's method for non-canonical systems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1023/b:cele.0000005731.81220.5f

    DOI

    http://dx.doi.org/10.1023/b:cele.0000005731.81220.5f

    DIMENSIONS

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