Ok, I retried with the Jupiter gravity. But I thought to myself, if I'm doing this, I should be able to make it leave Jupiter, the difference is not that much after all.
So I designed a
BIG LAUNCHER:
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No, I mean a really big launcher...
MOAR ENGINES!!!
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I said
MOAAAR ENGINES!!!
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Better.
The first 3 stages have been designed as a whole thing. Because there's no chance I can light on so many engines quickly enough in flight when staging, all the 3 stages are lighted on pad. The first stage is simply dumped when it's empty, then the second and third stages are light enough to continue. The second stage runs out of fuel later, and when it's dumped, the third one continues alone. Then I can perform staging operations normally.
Overall, those are 758 engines firing at start, to lift a launcher that's slightly below 100 ktons.
Of course I was impatient to try that beast. Problem, turning on all engines... crashes the game
Didn't expect that issue...
At least I could give it a try by separating the first stage, and lighting the rest ("only" 278 engines):
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Of course, without the first stage the rest of the launcher is too heavy at first, I have to wait for a while for the launcher to start lifting off:
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Finally, here we go! I designed the rest of the launcher to have a good margin at each stage of the flight, but I wasn't expecting such a situation...
However the flight happens well until now:
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Problem, I was expecting to be at least at 3000 m/s when that stage runs out of fuel. This is far from being the case!
But the rest of the flight happens surprisingly well finally:
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Now we are using the latest stages. They were designed with less TWR as they were supposed to experience less gravity in the end of the flight. I've had to transfer some fuel from the last stage because that one would have really been too heavy otherwise.
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And finally I'm short by a few 500 m/s!
Hopefully, the payload itself has some propulsion capabilities. I expected to send it full to orbit, but it will have to finish the job by itself. I'm playing my last card now!
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Finally, orbit!
Mission accomplished! Even if in an unexpected way