This is nitpicky but I don't believe you need 24729 variables to reproduce Kepler's laws which very accurately predict the position of the planets. You basically only need what you need for newtons law of gravity which is masses and locations. Of course the n body problem is more complicated but you still only need masses and locations for all the bodies, plus a computer. What ai could be useful for is finding more efficient and accurate solutions to the many body problem. But tbf, I'm not a many body physicist. So what do I know.