Kepler's equation of planetary motion

[roshan2004]

Homework Statement

If a planet were suddenly stopped in it's orbit, supposed circular, Show that it would fall into the sun in a time which is$$\frac{\sqrt{2}}{8}$$ times it's time period.

Homework Equations

Kepler's Third law

The Attempt at a Solution

 

[nickjer]

You do know we don't solve the problem for you. You need to put some effort into it first and we guide you in the right direction.