A new tool for the study of periodic orbits

Details A new tool for the study of periodic orbits A new tool for the study of periodic orbits

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.180..325s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 180, no. 2, June 1991, p. 325-331.

Astronomy and Astrophysics

Astrophysics

Fourier Series, Galactic Rotation, Nonlinear Equations, Orbital Resonances (Celestial Mechanics), Differential Equations, Stellar Orbits

Scientific paper

The generalization of the method of rational Fourier-series approximations for nonlinear ordinary differential equations in galactic dynamics is presented. Previous papers presented the formulas which describe simple families of periodic orbits with very good accuracy. This Letter generalizes these formulas to describe periodic orbits of any resonance m:n.

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