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A new dynamical spectrum for galactic potentials
Author(s) -
Karanis G.I.,
Caranicolas N.D.
Publication year - 2002
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/1521-3994(200203)323:1<3::aid-asna3>3.0.co;2-0
Subject(s) - physics , spectrum (functional analysis) , logarithm , galaxy , dynamical systems theory , computation , statistical physics , distribution (mathematics) , harmonic oscillator , harmonic , classical mechanics , astrophysics , mathematical analysis , quantum mechanics , computer science , mathematics , algorithm
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 ( α ) 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.