Stability of axial orbits in analytical galactic potentials

Details Stability of axial orbits in analytical galactic potentials Stability of axial orbits in analytical galactic potentials

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..261s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 61, no. 3, p. 261-285

Astronomy and Astrophysics

Astronomy

10

Dynamic Stability, Elliptical Orbits, Galaxies, Orbit Perturbation, Orbital Mechanics, Potential Theory, Two Dimensional Models, Computerized Simulation, Density Distribution, Equations Of Motion, Galactic Rotation, Harmonic Oscillators

Scientific paper

We study the stability of axial orbits in analytical galactic potentials as a function of the energy of the orbit and the ellipticity of the potential. The problem is solved by an analytical method, the validity of which is not limited to small amplitudes. The line of neutral stability divide the parameter space in regions corresponding to different organizations of the main families of orbits in the symmetry planes.

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