Parabolic-type orbits for a certain model of galactic potentials

Astronomy and Astrophysics – Astronomy

Scientific paper

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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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