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In Kerbal space program I built a mini cubesat (similar to NASA’s lunar flashlight probe) and managed to land on the moon only using ion thrusters. However, it was risky because it took a few tries. In the first couple of attempts the cubesat came down too fast. What other issues may appear if such a mission will happen in real life? Or what issues did appear if such a mission has happened?

The Rocket fan
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This is one of the cases where Kerbal Space Program differs significantly from real world rocketry.

The stock ion engine in KSP has a thrust of 2000 N at 250kg, a thrust-to-weight ratio of 4.9 on the Mün.

Real world ion engines are much much weaker than that. NSTAR (0.092 N at 8.33 kg) and NEXT (0.236 N at 13.5 kg). Thrust-to-weight ratios of 0.0068 and 0.011 on the Moon

So those game engines are unrealistic beasts, close to 3 magnitudes more powerful than the real deal, and thus capable of hoovering against their own weight. (which is an absolute requirement for a soft landing).