Rocket Launch

A Rocket is launched from the North Pole to hit a target on the Equator. If the minimum launching speed to hit the target is $v_{\rm m}$ , and the minimum speed for an object to circle around the Earth is $v_0=\sqrt{\frac{GM}{R}},$ where $G$ is the gravitational constant, $M$ is the mass of the earth, $R$ is the radius of the earth, considering earth to be a perfect ball.

What is the ratio of $\dfrac{v_{\rm m}}{v_0}$ ?