Time Scaling as an Infinitesimal Canonical Transformation

Details Time Scaling as an Infinitesimal Canonical Transformation Time Scaling as an Infinitesimal Canonical Transformation

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42..201c&link_type=abstract

Celestial Mechanics, Volume 42, Issue 1-4, pp. 201-213

Computer Science

Scientific paper

The authors show that time scaling transformations for Hamiltonian systems are infinitesimal canonical transformations in a suitable extended phase space constructed from geometrical considerations. They compute its infinitesimal generating function in some examples: regularization and blow up in celestial mechanics, classical mechanical systems with homogeneous potentials and Scheifele theory of satellite motion.

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