Conditionally-periodic solutions of the Hamiltonian systems with multiple resonance

Details Conditionally-periodic solutions of the Hamiltonian systems with multiple resonance Conditionally-periodic solutions of the Hamiltonian systems with multiple resonance

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...43..289a&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 43, Dec. 1988, p. 289-298.

Mathematics

1

Celestial Mechanics, Hamiltonian Functions, Orbital Resonances (Celestial Mechanics), Perturbation Theory, Degrees Of Freedom, Equations Of Motion, Fourier Series, Transformations (Mathematics)

Scientific paper

A method is developed to construct conditionally periodic solutions of
Hamiltonian systems in the case of deep resonance and in the presence of
more than one resonant vector (multiple resonance). The method depends
on modification of a standard perturbation method. It is applicable to
systems with more than one degree of freedom.

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