00:01
If you have two stars that orbit, a common center of mass, and i'm going to draw here two orbits, one smaller than the other, and i'm going to draw them farthest apart in their orbits.
00:26
Well, the one with the smaller orbit would have the larger mass, and the one with the larger orbit would have the smaller mass.
00:51
The forces that are acting upon these objects are the same.
00:59
And so if we look at some of the forces equals mass times acceleration, well then it's the same for the red one or the green one, in opposite directions, but the same.
01:19
And so mass red, acceleration red equals mass green, acceleration green.
01:37
The point is that the higher mass would undergo the lower acceleration and therefore would achieve a lower distance away.
01:55
Because centripetal acceleration is v squared over r.
02:05
All right.
02:16
Okay, if star 1, which i'm going to say is the green star, has very low mass, almost that of a planet, well, if it had very low mass, then the red star would be almost unaffected...