Modal approach to the morphology of spiral galaxies. I - Basic structure and astrophysical viability.

Mathematics – Logic

Scientific paper

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Astronomical Models, Cosmology, Galactic Structure, Spiral Galaxies, Astronomical Spectroscopy, Dark Matter, Density Distribution, Galactic Bulge, Galactic Evolution, Galactic Mass

Scientific paper

The viability of the modal approach to global spiral structures in galaxies of all Hubble morphological types is demonstrated by identifying the appropriate basic states of galaxy models from the dynamical point of view and demonstrating their compatibility with observations from the physical point of view. It is shown that barred spiral modes are likely to occur for relatively large disk masses. It is shown that, for normal spirals of small pitch angle, the gaseous component plays an essential role, both in the excitation of the unstable spiral modes and in the stable maintenance of the final spiral structure. A cubic dispersion relationship is used to study spiral modes and demonstrate the processes of maintenance and excitation of the modes of various morphologies separately for normal spiral modes and open spiral modes. The waves are described in terms of sustained wave trains in order to understand the relevant physical mechanisms and the general role of the dynamical parameters.

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