On the stability of small quasiperiodic motions in the Hamiltonian systems

Details On the stability of small quasiperiodic motions in the Hamiltonian systems On the stability of small quasiperiodic motions in the Hamiltonian systems

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17..373s&link_type=abstract

Celestial Mechanics, vol. 17, May 1978, p. 373-394.

Physics

3

Celestial Mechanics, Hamiltonian Functions, Motion Stability, Periodic Variations, Degrees Of Freedom, Euler-Lagrange Equation, Perturbation Theory, Three Body Problem

Scientific paper

Orbital stability of quasi-periodic motions in multidimensional Hamiltonian systems is studied. The motions are assumed to be close to equilibrium. The number of basic frequencies does not coincide with the number of degrees of freedom, and it is supposed that there is a convergent procedure for constructing the motions. The results are used to study the stability of small plane motions close to the Lagrangian solutions of the three-dimensional restricted circular three-body problem. Parameter values for which these plane motions are unstable are found.

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