A dispersion relation for open spiral galaxies |
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Authors: | G Contopoulos |
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Institution: | (1) Astronomy Department, University of Athens, Athens, Greece |
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Abstract: | The Lin-Shu dispersion relation is applicable in the (asymptotic) case of tight spirals (large wave numberk
R). Here we reconsider the various steps leading to the Lin-Shu dispersion relation in higher approximation, under the assumption
that the wave numberk
R is not large (k
Rr) =O(1)], and derive a new dispersion relation. This is valid for open spiral waves and bars. We prove that this dispersion relation
is the appropriate limit of the nonlinear self-consistency condition in the case where the linear theory is applicable. |
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Keywords: | Galaxies density waves dispersion relation |
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