Assignment_04

Assignment_04 - SCIENCE 238 Assignment #4 1) Estimate the...

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1) Estimate the mass distribution of the galaxy with rotation as given in the plot (below) of rotation speed v versus R, the distance from the centre of the galaxy. (a) Compute the mass at 6 points, R=2, 5, 10, 15, 20, and 25 kpc from estimates of the rotation speed in the given plot. (b) Make a plot of log 10 (mass), on the y-axis, versus log 10 (R) from the centre of this galaxy. In class it was shown that the circular rotation velocity v for material in orbit around the centre of the galaxy is v 2 GM R R where G is the gravitational constant and M R is the mass interior to a point a distance R from the center. The textbook has a similar equation in an example. If the mass in the galaxy is distributed in a spherically symmetric fashion with a density distribution that goes like 1 R then the mass distribution will look like M R R 3 The average slope of your plot will be 3 – . might be for this galaxy. (Marks: 4)
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Assignment_04 - SCIENCE 238 Assignment #4 1) Estimate the...

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