Orbit injection

The satellite may have enough energy to reach the orbit height but it
still needs to be given the correct tangential velocity to put it into orbit.
For an orbit of
radius r this is given by v
2/r = GM/r
2 or rearranging this v= (GM/r)
1/2You can see from Figure 1 the effect of
differing launch velocities on the shape of the final satellite
orbit.