The Cosmic Perspective (9th Edition)
The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 19, Problem 53EAP

Mass of the Central Black Hole. Suppose you observe a star orbiting the galactic center at a speed of 1000 km/s in a circular orbit with a radius of 20 light-days. Calculate the mass of the object the star is orbiting.

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Observations of the central region of the galaxy M87 indicate that stars which are 60 light years later from the centre are orbiting the central supermassive black hole at speeds of 730kms^-1. Estimate the lads of the black hole, in solar masses.(You can assume circular motion, e.g. if you get 3 solar masses, type in 3). just wondering what formula I use?
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8  1011 solar masses. A star orbiting near the galaxy's periphery is 5.6  104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be?_________yr (b) If its period is 6.0x107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies._________ Solar Masses
Suppose you observe a star orbiting the galactic center at a speed of 1500 km/skm/s in a circular orbit with a radius of 24 light-days. Calculate the mass of the object that the star is orbiting.
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