Periodic orbits in a dynamical system with three degrees of freedom

Details Periodic orbits in a dynamical system with three degrees of freedom Periodic orbits in a dynamical system with three degrees of freedom

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31..293d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Nov. 1983, p. 293-301.

Statistics

Computation

5

Degrees Of Freedom, Harmonic Oscillators, Orbital Mechanics, Numerical Integration, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Resonance

Scientific paper

The author uses the analytical method of Lindstedt to make an inventory
of the regular families of periodic orbits and to obtain approximate
analytical solutions in a three-dimensional harmonic oscillator with
perturbing cubic terms. He compares these solutions to the results of
numerical computations at a specific orbital resonance.

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