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

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