• A dispersion relation for open spiral galaxies

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    • Keywords


      Galaxies; density waves; dispersion relation

    • Abstract


      The Lin-Shu dispersion relation is applicable in the (asymptotic) case of tight spirals (large wave numberkR). Here we reconsider the various steps leading to the Lin-Shu dispersion relation in higher approximation, under the assumption that the wave numberkR is not large [(kRr) =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.

    • Author Affiliations


      G. Contopoulos1

      1. Astronomy Department, University of Athens, Athens, Greece
    • Dates

  • Journal of Astrophysics and Astronomy | News

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