Maintaining Perpendicularity in a Focusing Circle Setup

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In a focusing circle setup, maintaining perpendicularity of a sample plane to a radius requires the detector to rotate at twice the rate of the sample. This relationship is crucial for accurate measurements and optimal performance in experiments. The discussion highlights a lack of clarity on the underlying reasons for this requirement. Participants suggest consulting external resources for further insights. Understanding this dynamic is essential for effective implementation in related applications.
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Why is it that for a given plane in a sample to remain perpendicular to a radius of the focusing circle, the detector must rotate around the latter at a rate twice that of the sample?
 
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