Option b is correct. The observations that suggest the mass of the Galaxy goes much farther out than its visible disc is the rotation curve of the outermost portions of the disc.
The fundamental method for determining the distribution of mass in spiral galaxies is to use rotation curves. In this paper, we discuss numerous techniques for determining rotation curves in spiral and Milky Way galaxies. We then explain two major ways to compute the mass distribution using the rotation curve. By using rotational velocities instead of mass models, the direct technique determines the mass.
By model fitting and assuming a black hole, bulge, exponential disk, and dark halo, the rotation curve is deconvolved into numerous mass components using the decomposition method. For statistical correlation investigations between the dynamical properties of the mass components, the decomposition is helpful. We also go over recent findings and conclusions.
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