Center of mass problem?

1. Sep 30, 2007

Ertosthnes

A space system consists of two visible stars, one is a blue giant with a mass of 11M and the other is a red dwarf with a mass of 0.5M. The system also has a black hole with a mass of 2M but we don't know where it is located. The blue giant is 700 gigameters away from you along the x axis and the red dwarf is 825 gigameters away from you 14 degrees below the x axis. The blue giant is moving in the +y direction and the dwarf moves 45 degrees clockwise of the +y direction.

We're looking for the system's center of mass, and the location of the black hole.

We also assume the following about the system:
1) Orbits are approximately circular about the system's center of mass
2) All lie in the same plane
3) All orbit in the same direction (e.g., clockwise or counterclockwise)

The relevant equations are uses of algebra, trigonometry, and the center of mass equation, as far as I can tell.

So far I've mapped out the locations of the two planets; the blue giant's coordinates are (700, 0) and the red dwarf's coordinates are (800,-200). I have no idea how to continue.

2. Oct 2, 2007

Hootenanny

Staff Emeritus
If we can assume that the orbits are circular, what does this tell you about the direction of the velocity of the bodies in relation to the circular path?

3. Oct 2, 2007

Ertosthnes

The direction should be perpendicular.

4. Oct 2, 2007

Staff: Mentor

I thought this post looked familiar ... and, yep, its exactly the same as this thread (less the replies). Ertosthnes, you aren't supposed to create multiple threads with the exact same topic.