Disappearance of integrals in systems of more than two degrees of freedom

Details Disappearance of integrals in systems of more than two degrees of freedom Disappearance of integrals in systems of more than two degrees of freedom

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17..167c&link_type=abstract

Celestial Mechanics, vol. 17, Feb. 1978, p. 167-172.

Physics

Condensed Matter

Statistical Mechanics

10

Degrees Of Freedom, Hamiltonian Functions, Orbit Calculation, Orbital Mechanics, Perturbation Theory, Resonance, Harmonic Oscillation, Statistical Mechanics, Stochastic Processes, Trigonometric Functions

Scientific paper

The disappearance of some integrals of motion when two or more resonance conditions are approached at the same time is explained. As an example a Hamiltonian of three degrees of freedom is considered in action-angle variables which in zero order represents three harmonic oscillators, while the perturbation contains two trigonometric terms. One integral disappears if two appropriate resonant conditions are approached sufficiently close.

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