A new dynamical spectrum for galactic potentials

Statistics – Computation

Scientific paper

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Scientific paper

We investigate the properties of motion, using the distribution of the values of a new dynamical parameter, in two different galactic potentials. The first is a potential made up of harmonic oscillators while the second is a logarithmic potential. We call the distribution functions of the new parameter the S(r) dynamical spectrum. A comparison between the spectrum of stretching numbers S() and the new spectrum is made. The results of our numerical calculations suggest that the S(r) spectrum is a better discriminant between different types of orbits while requiring considerable less computation time. An application of the new dynamical spectrum to barred galaxy models is also presented.

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