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From here, burn prograde to an escape trajectory. This will cause you to escape the Mun while simultaneously lowering your orbit around Kerbin. Once you escape the Mun, burn retrograde until your periapsis is below about 30 km. The atmosphere will then catch you.
Dude, it's very simple. Get into Mun orbit. Then any escape attempt will place you first in an orbit around Kerbin and then around Kerbol itself. So, you only have to get a moderate escape from Mun orbit and almost surely you'll end orbiting Kerbin.
I look at how to perform a precise landing to rescue a Kerbal from the surface of The Mun.
You want to escape retrograde to the Mun ("behind" it), parrallel to its trajectory. keep burning prograde until you get a Kerbin apoapsis of 60k if you're patient, 30k if you want to land as soon as possible.
9 lip 2024 · Perform a Trans-Kerbin Injection (TKI) to escape the Mun's gravity. Upon reentry into Kerbin's SOI, burn retrograde at apoapsis. Use atmospheric braking to slow down and prepare for reentry.
16 lip 2013 · When you want a really elegant mun mission, learn docking and do an apollo-style mission with a detachable lander. That way you can keep the fuel for the return trip in mun orbit, so you don't need to land it and bring it back up....or just add more stages below your existing rocket.
While if you would ascent entirely vertical, straight into an escape trajectory, you have to achieve over 800 m/s in a short time span. At a TWR of 10 you can accelerate at 16.3 m/s 2, which would take roughly 50 seconds, during which you are also fighting the Mun's gravity.