Many raptors, including kestrels, can detect ultra-violet which means they can track mice and voles from the trails of urine that they leave.
While slightly bulkier, sparrowhawks are smaller in overall dimensions than kestrels, I assume the extra brawn is partly due to the mechanism for their acrobatic chasing prey around trees and hedges.
I always wondered why Ornithology had math requirements that went up to tensor calculus. Always seemed a bit excessive; but I suppose this explains it.