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On canonical transformations admitted by some Kepler problems

The problem of systematically determining groups of canonical transformations that leave invariant Hamilton's equations of motion for bound Keplerian system in the plane is formulated and examined in detail. Previously unknown invariance groups are found, and a procedure for finding further ones is outlined. The methods used are directly generalizable to other systems in spaces of arbitrary dimension.

Identiferoai:union.ndltd.org:pacific.edu/oai:scholarlycommons.pacific.edu:uop_etds-1443
Date01 January 1977
CreatorsSumi, Takanori
PublisherScholarly Commons
Source SetsUniversity of the Pacific
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceUniversity of the Pacific Theses and Dissertations

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