A supercomputer around the sun

I wish to build a sort of Dyson swarm around the sun. Not to transmit energy, but to put supercomputers in each satellite so they can calculate spatial trajectories.

The main idea of the project is to provide easy travel in the star system. I was thinking of including a patched KSP simulator into every spaceship, but a physicist friend of mine told me that "lol no".

Now, the building construction being incremental and heavily pushed by diverse big companies (aka deluded trillionaires), my main focus is on the feasibility of it.

I think the main problems may be cooling the processors, solar wind damaging the electronics and the overall maintenance cost once the calculators are in place.

So my main question would be: Is it possible to build low-heating radiation-resistant processors with a decade-long lifespan?

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A supercomputer around the sun

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