Deriving a Small Circle Equation in Spherical Coordinates: Any Pointers?

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whatta
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I need some good pointers to how could I derive arbitrary small circle equation in spherical coordinats (by hand or computer-aided), that is, LONG(t), LAT(t) or something like that.

Also, any approximate equations? How bad they are?

Please do not advice switching to cartesian, this is exactly what I would like to avoid.

Thank you for reading.

PS: if you happened to have ready equations, don't tease me, post'em.
 

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never mind, I have found the way around it. solution would still be good to know, but no longer necessary.