Monday, February 13, 2012

What would your estimate be for the mass of the object that the star is orbiting?

Suppose you observe a star orbiting the galactic center at a speed of 1500 km/s in a circular orbit with a radius of 21.0 light-days.What would your estimate be for the mass of the object that the star is orbiting?F = GMm/r虏 = mv虏/r



M = rv虏/G = (2.59脳10^13)(1.5x10^6)虏/(6.673脳10^-11) = 8.73 x 10^35 kg



The mass of our Sun is = 1.98892脳10^30 kg



So the object at the center of the galaxy is 439,080 times the mass of the Sun!

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