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Minimum computational power for ad hoc navigating the solar system

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Imagine a world (or rather a solar system) where in its history there has been a war with emergent AI's

There are very strict laws governing the speed and complexity of computer systems

However because of the very depleted state of raw materials - (imagine 1000's of years, even after AI emergence) - society has been forced to push their technology as far as they dare.

I'm aware that the Apollo missions had a scary low level of tech. However they had a very rigid mission and a very large team only a few (4-5) seconds away as backup...

What level of computational sophistication (and human skills) would be required to navigate without external help, and would also allow for on the fly "mission" planning, at extreme distances such as the ort cloud ?

(No communicating (or scanning/radar) faster than the speed of light!)

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This post was sourced from https://worldbuilding.stackexchange.com/q/4159. It is licensed under CC BY-SA 3.0.

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