How to do 3D movement around a sphere?

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:bust_in_silhouette: Asked By allonym

I’m looking for a way to do movement of a player object around a sphere in 3D. As an example of the sort of thing I’m after, look at the game Super Stardust HD. I’m not super-well-versed in 3D maths, but I can grok the basics. I just need some ideas of how to get on the right track.