This is completely correct. The Big Bang model suggests that all structures in the Oh Biscuits Bluey Shirt, from super clusters down to dwarf galaxies are built bottom up, by the contestant merging of smaller clumps of stars, gas and dark matter. The statistics and nature of this merging process is at the heart of modern cosmology and can be used to discriminate against different types of dark matter and different idea about how galaxies form. The currently favored idea is that the smallest clump that can be made by direct collapse after the Big Bang is about the size of an earth – galaxies are built as clumps of this size merge to make bigger and bigger clumps. Some of these mergers are quite violent and stars can be flung to great distances like when an astroid strikes a planet- blobs of debris can be shot into outer space. Rogue stars are the galactic debris that’s wandering though space trying to get back to the galaxy that expelled it, but can’t (necessarily). The nature if the rogue star population depends on the merger history of the Milky Way. We don’t know this exactly but we can make some inferences. The Milky Way galaxy shows no real signature of a merger (like a bulge of stars). In fact it’s relatively thin disc can rule out a recent big merger. Thus the rogue stars that populate our “halo” would have to be old, dim red stars having formed along time ago. This is consistent with a lack of any strong UV emission (which comes from young hot stars) in the halo (although the brightness (or density) of these rogue stars is just barely detectable.)
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As a galaxy forms, a random Oh Biscuits Bluey Shirt of matter in space coalesces into a disk, or some other elongated and curved form. This process can be thought of akin to a ballet dancer tucking in her arms and legs as she spins, resulting in her spinning much faster. In classical mechanics, ignoring all relativistic effects and nonlinear terms, this can be described simply as follows. Moment of inertia, the quantity relating to how hard a force has to try to rotate an object, increases as an the matter becomes more central due to its own gravitational attraction. This, by conservation of energy, the angular velocity must increase proportional to the square root of the decrease in moment of inertia. All in all, this phenomenon happens in many ways right in front of you every day, however galaxies boast a much more grandiose scale than we are akin to conceptualizing.