Escape Velocity Formula Derivation. The relationship between the escape velocity and the orbital velocity is defined by v e = 2 vo where ve is the escape velocity and vo is the orbital velocity. The equation for the escape velocity can be derived by applying the law of conservation of energy.

When an object reaches the speed that it is capable of breaking the earth’s gravitational barrier then we say that it is travelling at escape velocity. The formula for escape velocity is given as, \(v=\sqrt{\frac{2gm_e}{r_e}}\) where, v = escape velocity.