A Constraint on the Velocity Dispersion of the Missing Mass in the Solar Neighborhood

Physics

Scientific paper

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Scientific paper

The stability of an N-component stellar disk with finite thickness is examined with the gas dynamical approximation. The dispersion relation for marginal stability is obtained. This dispersion relation for N = 2 is applied to the missing mass problem in the solar neighborhood, where two components represent the observed mass component and the missing mass component in the solar neighborhood. From the requirement that the Galactic disk should be locally stabel, it is found that the velocity dispersion of the missing mass component should be greater than about 25 km/sec. The stability of an infinitesimally thin disk is also investigated and compared with the disk of finite thickness.

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