Problem: There is a point in a sphere with radius 90k-110k. You have a ship with a radar of radius 47k. What is the best search pattern to fly in order to find the point with the least flying?

I've been thinking about this and have come up with a few ideas. The roughest is of course to fly a cube pattern and totally brute force it. Refining that a little, we fly the "latitudes," trying to find the point. However, I just came up with the idea that if one were to fly each edge of an icosahedron with diameter ~ 180k, then things might be more efficient.

First, I would like feedback on the search mechanism. Second of all, does anyone know how to calculate side length and anle measurement when given a certain diameter (vertex to opposite vertex) of an icosahedron?