Interpolate from a point on a sphere to a point on a another sphere?

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I am at the moment trying to come up with an solution which is capable of interpolating between a point on a sphere A to a point on a sphere b.

The interpolation should both provide me with minimal rotational and positional displacement.

What i know is the radius of both sphere, the position A and B relative to the center of the sphere..

Could someone help me come up with a scheme that solves this?

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