The stars in the disk of the Milky Way Galaxy near the Sun are all orbiting the center of the Galaxy at roughly the same velocity and in the same direction. The stars in the halo of the Milky Way Galaxy orbit the Galactic center in different directions and at different speeds.
Picture the stars in the disk behaving like the planets orbiting the Sun or like runners on a track. If the Sun and a nearby star are both moving in the same direction at nearly the same speed, how will that other star's velocity appear when measured by us? That is, what will we measure its relative velocity to be? Now picture a halo star moving in a direction perpendicular to the Sun with a velocity of 100 kilometers per second. From our point of view, will this halo star appear to be moving quickly or slowly?
Can you use the information that you provided to answer these questions to propose a method for separating halo stars from disk stars?
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