Self Centering Probing point translation

[[La...]]

How can a self centering probing point be translated using A1 and A2 values?
We need to accurately locate the position of a countersink on a spherical surface and need the offset explained below, due to the small size of the cone.
We have 96 cones around the perimeter of a part. We can use the cone values, x,y,z,A1,A2 to get a point at the base of the cone. Using AutoCad, with an expected 100° cone angle, a 5mm ruby, and a Ø.098" base diameter, the ruby theoretically should be 0.011" from that diameter when it self centers in the cone.
I can use the same cone values to get a theoretical plane and offset that 0.011" to get the values for the needed point, but there must be a simpler way.
Also, we are needing to get the major diameter of the countersink cone on the spherical surface.
Any simpler way to achieve this diameter would be appreciated!!!!!

[[Jo...]]

This seems to be a good candidate for using a pattern array. So, you could construct a theoretical sphere at the desired nominal and interesect it with the nominal countersink axis. That will give you a nominal to work with. Because of approach vectors, the array may have to be done in quadrants, idk. The next choice is How to report the point,space point, mid point etc.. If you want to comp the tangent into the nominal, maybe report a Spherical tolerance zone location using midpoint ? I typically use the actuals in formulas for other features, not directly reported. Another option is secondary alignment with "keep position" checked, It will correct vectors.

pattern.JPG

[[Jo...]]

Here are a couple of ideas. scan "plane" around countersink with circle strategy, and evaulate as i.t.e or o.t.e , maybe constrain vector ?

results.JPGplane.JPGmajor.JPG

[[Je...]]

Easier suggestion unless I missed something:

Connect the self center point with the center of the sphere with a 3D line. Project that 3D line to the surface of the sphere for an intersection. Your location is the intersection. A1/A2 is the the A1/A2 of the 3D line. Since you are self centering, your vector is determined completely by the structuring of your feature. In this case, it is assumed to be pointed directly toward the center of the sphere.

Or use a ball-in-cone macro for an even easier application.

Expanding upon John Berkleys images. This is often over-looked or mis-applied; The diameter of a counter-sink on a curved surface is always the MINOR or SMALLEST 2-point diameter. Imagine a screw sitting in the cone. The screw must sit entirely below the surface without any interference around the parent surface.