Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...125..101d&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 125, no. 1, Aug. 1983, p. 101-108.
Astronomy and Astrophysics
Astrophysics
19
Astronomical Models, Elliptical Galaxies, Galactic Rotation, Orbit Calculation, Resonance, Celestial Mechanics, Equations Of Motion, Numerical Integration, Periodic Functions
Scientific paper
Using the analytical method of Lindstedt the author makes an inventory of the regular families of periodic orbits inside non rotating model elliptical galaxies of oblate and prolate shape, in particular at and near resonances. He also obtains periodic solutions approximated by formal trigonometric series and a third integral of motion which, to first order, depends on the square of the total angular momentum.
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