Studies of planar stellar orbits. I - Motion in the spiral galactic potential of Barbanis and Woltjer

Computer Science – Graphics

Scientific paper

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Astrodynamics, Orbit Calculation, Spiral Galaxies, Stellar Motions, Stellar Orbits, Amplitudes, Computer Graphics, Galactic Structure, Invariance, Orbital Resonances (Celestial Mechanics), Resonance

Scientific paper

A numerical investigation of stellar orbits in the two-dimensional spiral galactic potential model developed by Barbanis and Woltjer (1968) is presented. The spiral potential has been used in a number of studies of stellar orbits and may be taken as a reasonable description of the Milky Way Galaxy. The principal part of the orbit integrator is a seventh-order Runge-Kutta scheme. Results of the numerical calculations indicate that resonant periodic orbits determine the phase-space structure; the epicyclic approximation may be a useful means for locating these resonant orbits.

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