Determination of galactic spiral structure parameters from stellar kinematics - Nonlinear description

Astronomy and Astrophysics – Astronomy

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Density Wave Model, Galactic Structure, Gravitational Fields, Kinematics, Spiral Galaxies, Stellar Motions, Angular Velocity, F Stars, G Stars, Galactic Rotation, Hydrogen, Neutral Gases

Scientific paper

A nonlinear description of stellar motion perturbed by the gravitational field of the spiral arms is applied to five samples of stars (long-period Cepheids and type B, A, F-G, M supergiants; 500 objects in all). The galactic spiral structure parameters are evaluated: the angular rotational velocity of the spiral pattern approximately equals 19 km per sec per kpc, and the amplitude of the spiral gravitational field approximately equals 380 sq km per sq sec. These values are nearly the same as those obtained previously in the linear approximation. When the + 4 km per sec per kpc correction resulting from errors inherent in the method is applied, the computed angular rotational velocity value agrees with the prediction of density-wave theory. The values found for the parameters are also consistent with 21-cm radio observations of neutral hydrogen.

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