Hey,

as promised, I performed a rough estimate on the mechanics involving a lunar transfer orbit. A more detailed, numerical calculation might follow in the next few days.

Heiwa, this should clear up that it is definitely possible to get to the moon (I admit that the actual orbit around the moon can not be calculated with this method, for this there will be the numerical integrator which might come later) and that you should never boost *towards* the moon. If you find any errors, please point them out.

Generally I would love if someone double-checked my math, the numbers do make sense but still..

The document can be found at https://www.docdroid.net/nSZ6vXb/moon.pdf.html

Hm, so you are in LEO at 200 000 m altitude with speed 7 788 m/s and then you blast off at a certain time to 10 921 m/s to enter a very elliptic orbit around Earth that touches the orbit of the Moon around Earth. But is the Moon there? And what do you do then?

Why shouldn't the moon be right where calculations predict that it should be?

Well, when you blast off from LEO you must first ensure that you are in the same plane as the Moon orbit. Space is 3D.

So your LEO plane must be same as the Moon orbit plane. If you blast off in the wrong direction, you will not arrive in the Moon orbit.

Second you must ensure that you arrive at the Moon orbit, when the Moon is there. The Moon orbits Earth in 28 days or so, i.e. it is moving all the time. If you blast off too early or late, you will arrive too early and too late.

Third - if you manage to arrive at the Moon orbit and the Moon is there, how do you avoid that Moon gravity pulls you down so you crash?

Rocket science is not easy. I explain all at my web site.