21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 20, Problem 9QP
To determine

Rotation curve of the Milky Way indicate about the presence of dark matter in the galaxy

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Imagine that you have achieved immortality and you used it to travel outside of the Milky Way (you will be leaving today and you will be traveling with the speed of 1/10th of the speed of light). Describe how the Milky Way would look from the outside if you could watch it for the next 100 billion years.
The Large Magellanic Cloud is a small satellite galaxy that orbits the Milky Way. It is currently orbiting the Milky Way at a distance of about 160,000 light-years from the galactic center at a velocity of about 300 km/s. Use these values in the orbital velocity law to get an estimate of the Milky Wayʹs mass. (The value you obtain is a fairly rough estimate because the orbit of the Large Magellanic Cloud is elliptical, not circular.)
What is the orbital velocity of our solar system about the center of the MilkyWay? Assume that the mass within a sphere of radius equal to our distance away from the center is about a 100 billion solar masses. Our distance from the center is 27,000 light years.
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