What is the best way of drawing a smooth circle round a sphere?

My sphere is using a Dot3 F10 material. I already layer other textures
on top of the base Dot3 material.

I want to be able to draw the circle at an aribitary rotation in two
axes. I know where 3D space the plane of the circle should point, but
ideally I'd like to use 'latitude' and 'longitude' values for the
normal to the circles plane.

I'm thik bezier curves may be appropriate, but really need a pointer
to get started.

Many thanks for any help
Mark.

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