Analytical study of resonances near 4:4:1 in systems with three degrees of freedom

Details Analytical study of resonances near 4:4:1 in systems with three degrees of freedom Analytical study of resonances near 4:4:1 in systems with three degrees of freedom

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..343s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, Aug. 1984, p. 343-365. In French.

Physics

2

Celestial Mechanics, Degrees Of Freedom, Hamiltonian Functions, Periodic Functions, Resonance, Analytic Functions, Differential Equations, Equations Of Motion, Orbit Calculation

Scientific paper

The periodic solutions of a Hamiltonian system with three degrees of freedom are determined, extending the analysis of Stellmacher (1984) to the case in which the ratio of the frequencies is at or near 4:4:1. Different families of periodic solutions are identified, including some which are discontinuous near the x3 axis. Numerical results for typical two-dimensional and three-dimensional cases are presented in graphs.

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