Recent content by leftnes

And assuming a circular orbit, r = .5d, where d is the separation between the stars.

Oops, yeah. F = m\omega^{2}r = Gm_{1}m_{2}/r^{2} I believe? Since \omega^{2} = a/r, I substituted for acceleration and set the only acting force on the stars as their gravitational attraction towards each other. Am I missing something else?

Homework Statement Two double stars of the same mass as the sun rotate about their common center of mass. Their separation is 4 light years. What is their period of revolution? Homework Equations Lagranian = T - U = \mu\dot{r}^{2}/2 + \vec{L}^{2}/2\mu r^{2} - Gm_{1}m_{2}/r F = ma =...