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Galaxies with lots of dark matter and those without any dark matter can exhibit significant differences in their rotation speed and distribution of stars. The presence of dark matter has a substantial impact on these aspects. Here's a breakdown of the differences and how rotation speed and star distribution can be used to quantify them:

  1. Rotation Speed: Galaxies without dark matter tend to exhibit a predictable pattern in their rotation speed. The stars within them follow Keplerian motion, where the rotation speed decreases as one moves farther from the galaxy's center. This behavior arises from the gravitational influence of the visible matter alone.

In contrast, galaxies with significant amounts of dark matter display a different rotation pattern. They often exhibit flat rotation curves, indicating that the rotation speed remains relatively constant even at large distances from the galactic center. This implies the presence of additional mass, beyond what is accounted for by visible matter, exerting gravitational influence. Dark matter is postulated to be the primary contributor to this extended mass distribution, providing the necessary gravitational pull to maintain the observed rotation speeds.

  1. Star Distribution: The distribution of stars within a galaxy is influenced by the interplay between visible matter and dark matter. Galaxies without dark matter typically display a relatively smooth distribution of stars, following the observed luminosity profile. The density of stars generally decreases as one moves away from the galactic center.

Galaxies with substantial amounts of dark matter can exhibit differences in star distribution. The gravitational effects of dark matter can lead to the formation of halos around galaxies, which extend well beyond the visible stellar component. This extended halo can affect the distribution of stars, causing deviations from the expected luminosity profile. Additionally, simulations suggest that the presence of dark matter can influence the formation and distribution of visible structures, such as galactic disks and bulges.

Quantifying the Difference: The rotation speed and star distribution can indeed be used to quantify the difference between galaxies with and without dark matter. Observations of rotation curves provide valuable insights into the presence and distribution of dark matter within galaxies. Flat rotation curves or higher-than-expected rotation speeds at large distances from the galactic center strongly suggest the presence of dark matter.

The study of star distribution, including the analysis of luminosity profiles and the presence of extended structures, can also provide clues about the impact of dark matter. Deviations from the expected stellar distribution can indicate the influence of additional mass, attributed to dark matter.

It's worth noting that while the existence and influence of dark matter are supported by various lines of evidence, its exact nature and composition remain unknown. Scientists continue to explore and study galaxies to further our understanding of dark matter and its role in shaping the universe.

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