Ok, i found the right iteration and solved the question. I moved the variables that vary to the right side and then tried to iterate. this is the solution. the ratio comes out to be 11.938. I will not delete the post since it might help someone.
mu = 3.986004418000000e+005;%gravitaional...
Homework Statement
Assuming planar orbits, calculate the Hohmann ∆V required to transfer from a low-Earth
circular orbit with radius of 1.03 Earth radii to the orbit of the Moon (assume 60 Earth
radii). Compare this to the 3-maneuver strategy of (1) escaping to infinity on a parabolic
orbit...