BoundingSphere intersection

Question

my question should be simple (even if I can't find a way out).

When two BoundingSphere intersects they should share one or two points. I wanna know if there is any chance to know those points exactly (or approximately) or not.

I was thinking something like this:

• -check if the spheres intersect
• -calculate radius_1 distance from center_1 in the direction of center_2
• -calculate radius_2 distance from center_2 in the direction of center_1
• -substract the smaller to the larger and have that one as "collision" point

but since this sounds to me a little too tricky, I wanted to know if there is a simplier way to achieve this.

Hope to have made myself clear

Answer 1

Posting the same question on gamedev I got this answer. It seems quite complete and it allowed me to understand things better and solve my problem.