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How do the orbital speeds of stars in spiral galaxies depend on how far away they are from the center of the galaxy?

How do the orbital speeds of stars in spiral galaxies depend on how far away they are from the center of the galaxy? Was it a surprise that the pattern was so different from the way that the orbital speeds of the planets vary with distance from the Sun? What feature of spiral galaxies had led astronomers to expect a pattern like that in the Solar System? How is the actual rotation curve interpreted as evidence for the existence of large amounts of dark matter in galaxies?

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