Basically and simply, Dark Matter it is argued collects only around galaxies, forming Dark Matter halos. It is this additional mass that accounts for the observed flat rotation curve of galaxies. You don't seem to understand. That is the distinction between galaxies and star systems, the latter do not have a halo of mass to interfere with Kepler's laws.
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The rotational/orbital speeds of galaxies/stars do not follow the rules found in other orbital systems such as stars/planets and planets/moons that have most of their mass at the centre. Stars revolve around their galaxy's centre at equal or increasing speed over a large range of distances. In contrast, the orbital velocities of planets in solar systems and moons orbiting planets decline with distance. In the latter cases, this reflects the
mass distributions within those systems. The mass estimations for galaxies based on the light they emit are far too low to explain the velocity observations.
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The galaxy rotation problem is the discrepancy between observed galaxy rotation curves and the theoretical prediction, assuming a centrally dominated mass associated with the observed luminous material. When mass profiles of galaxies are calculated from the
distribution of stars in spirals and
mass-to-light ratios in the stellar disks, they do not match with the masses derived from the observed rotation curves and the
law of gravity. A solution to this conundrum is to hypothesize the existence of
dark matter and to assume its distribution from the galaxy's center out to its
halo.[
citation needed]
Though dark matter is by far the most accepted explanation of the rotation problem, other proposals have been offered with varying degrees of success. Of the
possible alternatives, the most notable is
Modified Newtonian Dynamics (MOND), which involves modifying the laws of gravity.
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Galaxy rotation curve - Wikipedia plus Emergent gravity, which also EXPLAINS the observed rotation curve,