The Poisson and Boltzmann equations are solved numerically for realistic Galaxy models which include multiple disk components (between 14 and 28), a Population II spheroid, and an unseen massive halo. As a guide in constructing the theoretical models, a population of normal-metallicity (disk) K giants is isolated using existing data and is shown to be well described by an isothermal distribution function with a velocity dispersion perpendicular to the plane of 20 km s⁻¹. The total amount of matter in the vicinity of the Sun is determined by comparing the observed distributions of K giants with the predictions of detailed Galaxy models. The volume density of unobserved material near the Sun is about 0.1 M_sun; pc⁻³; the corresponding column density is about 30 M_sun; pc⁻².
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John N. Bahcall (1984) studied this question.