Phase models of galaxies consisting of a disk and a halo

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Galactic Mass, Halos, Mass Distribution, Disk Galaxies, Equipotentials, Integral Equations, Space Density

Scientific paper

A method of finding the phase density of a two-component model of mass distribution is developed. The equipotential surfaces and the potential law are given. The equipotentials are lenslike surfaces with a sharp edge in the equatorial plane, which provides the existence of an imbedded vanishingly thin disk. The equidensity surfaces of the halo coincide with the equipotentials. Phase models for the halo and the disk are constructed separately on the basis of spatial and surface mass densities by solving the corresponding integral equations. In particular, the models for the halo with finite dimensions can be constructed. Only the even part of the phase density with respect to velocities in found. For the halo it depends on the energy integral as a single argument. Two examples of exact solutions are considered.

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