00:01
For this problem on the topic of relativity, we are given a binary star system and we are told the frequency of the light from the system that is received on earth.
00:13
And we want to determine whether this binary star system as a whole is moving toward or away from the earth.
00:20
We then want to, we're then told that the light from each star in the binary system varies from its maximum frequency to its minimum frequency and then back again in 11 days.
00:31
And we want to find the orbital radius and the mass of each star.
00:37
Now we'll apply the doppler effect equation, and at the two positions shown in the figure, given in the problem, the velocities of the star are relative to the earth are u plus v and u minus v.
00:47
We use the velocity of the center of mass, and b is the orbital velocity.
00:53
And so for a, we have f0 equal to 4 .568 -110 0 times 10 to the power 14 hertz.
01:11
F plus the greater frequency is 4 .568.
01:20
910 times 10 to the 14 hertz.
01:26
And f minus is 4 .56710 times 10 to the 14 hertz.
01:38
14 hertz...