New treatment of the critical argument in resonance problems

Details New treatment of the critical argument in resonance problems New treatment of the critical argument in resonance problems

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976aj.....81..132j&link_type=abstract

Astronomical Journal, vol. 81, Feb. 1976, p. 132-134.

Astronomy and Astrophysics

Astronomy

2

Coordinate Transformations, Equations Of Motion, Hamiltonian Functions, Harmonic Oscillators, Resonant Vibration, Canonical Forms, Classical Mechanics, Computer Techniques, Degrees Of Freedom, Eccentricity

Scientific paper

Traditional methods for isolating the critical argument in Hamiltonian mechanics involve the introduction of a special set of action variables which are both complicated in form and arbitrary in nature. The new variables are in general obscure in their interpretation. This paper introduces a new canonical system corresponding to the original one, but with one more degree of freedom, in which all the variables of the original Hamiltonian can be treated on the same footing. It appears to have significant advantages for machine calculations.

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