1989
DOI: 10.1086/167183
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Modal Approach to the Morphology of Spiral Galaxies. II. Dynamical Mechanisms

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Cited by 147 publications
(135 citation statements)
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“…Although the discrepancies in the classical density wave model were solved with the swing amplification theory (Toomre 1981), there has been very little testing of this theory with observations. Modal studies by Bertin et al (1989aBertin et al ( , 1989b predict that there should be amplitude variations along the arms from resonances between inward-and outward-moving spiral waves, and the precise amplitude variations have been modeled (Elmegreen & Elmegreen 1984;Elmegreen et al 1989;Elmegreen & Thomasson 1993;Regan & Elmegreen 1997). Most recently, a new theory has been proposed for the formation of rings and spiral arms, which argues in favor of chaotic orbits, confined by invariant manifolds emanating from the L1 and L2 Lagrangian points of a bar (Romero-Gómez et al 2007).…”
Section: Spiral Armsmentioning
confidence: 99%
“…Although the discrepancies in the classical density wave model were solved with the swing amplification theory (Toomre 1981), there has been very little testing of this theory with observations. Modal studies by Bertin et al (1989aBertin et al ( , 1989b predict that there should be amplitude variations along the arms from resonances between inward-and outward-moving spiral waves, and the precise amplitude variations have been modeled (Elmegreen & Elmegreen 1984;Elmegreen et al 1989;Elmegreen & Thomasson 1993;Regan & Elmegreen 1997). Most recently, a new theory has been proposed for the formation of rings and spiral arms, which argues in favor of chaotic orbits, confined by invariant manifolds emanating from the L1 and L2 Lagrangian points of a bar (Romero-Gómez et al 2007).…”
Section: Spiral Armsmentioning
confidence: 99%
“…Short trailing stellar density waves can be excited near the CR from long trailing stellar density waves by 'the wave amplification by stimulated emission of radiation' (WASER) in lighter discs (Mark 1974(Mark , 1976, or from short leading density waves by the swing amplification mechanism in heavier discs (Goldreich & Lynden-Bell 1965b;Julian & Toomre 1966;Goldreich & Tremaine 1978;Toomre 1981). With these assumptions, 'standing-wave' patterns 3 can exist between a reflecting radius in the inner part of the galaxy and CR radius, where the waves can be amplified (Bertin et al 1989a(Bertin et al , 1989b. The spiral density waves should be located between, but not reaching the ILR and OLR.…”
Section: Propagation Of Tight-winding Density Wavesmentioning
confidence: 99%
“…In the modal theory of spiral structure (Bertin et al 1989a(Bertin et al , 1989b, the corotation resonance is typically located in the outer parts of the optical disk, where the gas-to-star density ratio is larger. The stellar spiral should exhibit a basic continuity across the corotation resonance and a reversal of the properties of the spiral tracers, such as the locations of H ii regions (Bertin 1993).…”
Section: Location Of the Corotation Resonancementioning
confidence: 99%