Why or why not page 1 of 3 4 assuming that most stars

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Unformatted text preview: parked" over any location on the surface of Earth? Why or why not? – Page 1 of 3 – 4. Assuming that most stars and gas in the disk of our Galaxy are in nearly circular orbits and the fact that the centripetal force holding that material in a circular path is Newton’s gravity, verify that the expression RV 2 M (< R) = G relates the mass enclosed within a given radius R to rotational velocity of the stars/gas V at that radius is reasonable. NOTE: You will need to assume that the mass distribution is spherically symmetric such that you can treat all the mass within the orbit as residing at the center of the orbit. This is the typical assumption in gravitation problems, that you treat all the mass as lying at the center of mass. There is no need to prove this theorem since Carroll and Ostlie provide the proof in Section 2.2). 5. The International Astronomical Union (IAU) has recommends values for the Sun’s distance from the center of the Milky Way galaxy of 8.5 kiloparsecs and the Sun’s orbital speed around the galaxy of 220 km/s 1. Use these values to estimate the m...
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This document was uploaded on 03/04/2014 for the course ASTROPHYS 362 at Minnesota State University Moorhead .

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