# Velocity to Eccentricity

**Classical Mechanics**Level 5

Let \(v\) be velocity at which a satellite is being projected into an elliptical trajectory, such that at apogee, it is a distance \(r\) from earth. Let \(u\) be the critical velocity at which the satellite must be projected at a distance \(r\) to move in circular path. If the eccentricity of elliptical orbit is \(0.44\) then find the ratio of \(v\) is to \(u\)?