Explicit recursive algorithms for the construction of equivalent canonical transformations View Full Text


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Article Info

DATE

1971-09

AUTHORS

William A. Mersman

ABSTRACT

The canonical transformations of von Zeipel, Hori, and Deprit are shown to be equivalent, and explicit recursive algorithms are derived for the construction of each of the respective generating functions in terms of the others.

PAGES

384-389

References to SciGraph publications

  • 1970-12. Equivalence of the perturbation theories of Hori and Deprit in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970. A Unified Treatment of Lunar Theory and Artificial Satellite Theory in PERIODIC ORBITS, STABILITY AND RESONANCES
  • 1970-03. A new algorithm for the Lie transformation in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970-03. The equivalence of von Zeipel mappings and Lie transforms in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1969-03. Canonical transformations depending on a small parameter in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Journal

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01231807

    DOI

    http://dx.doi.org/10.1007/bf01231807

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1018415827


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