Rational approximations for a Hamiltonian system with three degrees of freedom

Details Rational approximations for a Hamiltonian system with three degrees of freedom Rational approximations for a Hamiltonian system with three degrees of freedom

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.170..205s&link_type=abstract

(IAU, European Regional Astronomy Meeting, 11th, La Laguna, Spain, July 3-8, 1989) Astrophysics and Space Science (ISSN 0004-640

Mathematics

Dynamical Systems

1

Degrees Of Freedom, Dynamical Systems, Equations Of Motion, Hamiltonian Functions, Elliptical Galaxies, Fourier Series, Perturbation Theory

Scientific paper

A new method to find solutions of the equations of motion in Hamiltonian
dynamical systems is developed. The idea of the method is to express the
solution of the nonlinear ODE in the form x = N/D exp n, where N and D
are Fourier series and n is an appropriate constant. This method is
applied to a galactic potential with three degrees of freedom.

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