Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991azh....68.1315t&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 68, Nov.-Dec. 1991, p. 1315-1322. In Russian.
Astronomy and Astrophysics
Astronomy
2
Galaxies, Motion Stability, Stellar Motions, Stellar Orbits, Analytic Functions, Equations Of Motion, Hamiltonian Functions, Parabolas, Polynomials
Scientific paper
A two-parameter family of parabolic-type orbits in the meridional galactic plane is found for the problem of perturbed star motion in the rotationally symmetric field of a galaxy. The connection of this family with stationary solutions is determined. Analytical formulas for star coordinates and velocities are derived in a closed form for the cases of periodic and asymptotic motions on the trajectories.
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