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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.
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.
22 sty 2023 · When you are ready, just start burning prograde until you get an orbit around Kerbin and an escape trajectory from the Mun. An easier way to do this is to just burn upwards from launch sending you straghit up to an escape trajectory (about 2,000km).
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. Around 30-40 kilometers above the surface is a good altitude for aerobraking on Kerbin.
4 lip 2024 · The Mun, is a large satellite orbiting Kerbin. It is mostly gray in appearance, with craters of various sizes dotting its otherwise smooth surface. The Mun’s discovery is widely regarded as one of the more important breakthroughs of Kerbal evolution.
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.