Date of Award
1977
Document Type
Thesis
Degree Name
Master of Science (M.S.)
Department
Graduate Studies
First Advisor
Carl E. Wulfman
First Committee Member
William E. Brown
Second Committee Member
Robert L. Anderson
Third Committee Member
Andres F. Rodriguez
Abstract
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.
Pages
80
Recommended Citation
Sumi, Takanori. (1977). On canonical transformations admitted by some Kepler problems. University of the Pacific, Thesis. https://scholarlycommons.pacific.edu/uop_etds/444
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