Peer reviewed
Direct linkERIC Number: EJ901536
Record Type: Journal
Publication Date: 2010-Sep
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0143-0807
EISSN: N/A
Canonical Transformations of Kepler Trajectories
Mostowski, Jan
European Journal of Physics, v31 n5 p1187-1194 Sep 2010
In this paper, canonical transformations generated by constants of motion in the case of the Kepler problem are discussed. It is shown that canonical transformations generated by angular momentum are rotations of the trajectory. Particular attention is paid to canonical transformations generated by the Runge-Lenz vector. It is shown that these transformations change the eccentricity of the orbit. A method of obtaining elliptic trajectories from the circular ones with the help of canonical trajectories is discussed.
Descriptors: Motion, Science Instruction, Problem Solving, Equations (Mathematics), Mechanics (Physics), College Mathematics, Undergraduate Study, Graduate Study
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
