Location of highest density on a sphere

Question

I have a lot of points on the surface of the sphere. How can I calculate the area/spot of the sphere that has the largest point density? I need this to be done very fast. If

Answer 1

I am not master of mathematics but may be it can solve by analytical way as:

1.Short the coordinate

2.R=(Σ(n=0. n=max)(Σ(m=0. M=n)(1/A^diff_in_consecative))*angle)/Σangle

A=may any constant