The Lynden-Bell Slow Bar as a Determinant of the Spiral Ring Structure in Barred Galaxies

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Scientific paper

It is demonstrated that the Lynden-Bell slow bar provides a consistent understanding of some typical features in barred galaxies. The responses of the disc surface density to a slow-bar forcing are analysed and displayed. Different values of the bar angular velocity and growth rate give rise to a variety of forms occurring in the disc: inner and outer rings, more or less open half-turn spirals, and some other resonance features. Bar-enveloping inner rings become linked to the inner Lindblad resonance (ILR) with the m = 2, dominant bar mode, and the outer rings become linked to the m = 4 ILR, next in both importance and location. Remarkably, the resonance radial ratio is r_4_/r_2_ ~ 2.2, which falls within the observed peak of the outer-to-inner ring axial ratio R/r. Fast-bar theories give worse values: the currently recognized one, 2.6, probably means that fast bars are in the minority in barred galaxies.

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