I appreciate it could be difficult to do but it would be a good challenge.
You do not need to compare every particle with every other particle as most
will be outside the gravitational field. I do not know the maths behind it
but I do know that the gravitaitional field drops off the further you get
from an object (thus making the math more difficult).
I lay down the gauntlet to anybody who fancies tackling this.
Dave
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