Self-consistent spiral galactic models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Galactic Structure, Self Consistent Fields, Spiral Galaxies, Astronomical Photometry, Galactic Rotation, Perturbation Theory

Scientific paper

A family of models with adjustable parameters are applied to twelve normal spiral galaxies with known rotation curves and surface photometry. The galaxies form a representative sample of Sa, Sb and Sc galaxies with different total mass and mass concentration. For each model the response density is calculated by superposition of a large number of orbits, and a comparison is made with the imposed density. Three theoretical possibilities are examined: (1) small perturbation linear theory with the end of the spiral at corotation; (2) strong perturbation nonlinear theory with the end at corotation; and (3) strong perturbation nonlinear theory with the end at the 4/1 resonance. In all Sb and Sc galaxies the best self-consistent model is the nonlinear model ending at the 4/1 resonance, while in the Sa galaxies the spiral arms are weak and the best theoretical model is a linear one ending at corotation.

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