Distribution of stars perpendicular to the plane of the Galaxy. II.

Details Distribution of stars perpendicular to the plane of the Galaxy. II. Distribution of stars perpendicular to the plane of the Galaxy. II.

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...298..438c&link_type=abstract

Astronomy and Astrophysics, v.298, p.438

Astronomy and Astrophysics

Astrophysics

1

Stars: Rotation, Galaxy: Kinematics And Dynamics, Galaxy: Stellar Content

Scientific paper

We present here rigourous analytical solutions of the Boltzmann-Poisson equations concerning the distribution of stars perpendicular to the galactic plane. The number density of stars at the galactic disk is assumed to follow n(m,0)~H(m-m_0_)m^-x^, where m is the mass of the star and x is an arbitrary exponent greater than 2, while H(m-m_0_) is the unit Heaviside step function. The velocity dispersion of the stars is assumed to arise from the stellar motion in a random force field - leading to ~constant for m<=m_*_, ~m^-θ^, for m>m_*_, where m_*_ is the stellar mass for which the stellar life-time equals the galactic age. It is seen that the height distribution of stars is very sensitive to the values of x and θ. Finally we have derived an expression connecting the surface density volume density and velocity dispersion of stars, and show that this relation is a sensitive function of θ and x and use them to obtain certain plausible numbers for our Galaxy in the limits of the present day data.

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