I’m terrible at math, but I had this thought while playing around in Blender. The car near the pole needs to turn the wheel to maintain distance, but the car on the equator drives in a “straight” line. At what distance from the pole is the transition? I hope this makes the question clear, I ran into a character limit in the title.
Gotta narrow it further. Which tire, both? When turning the inner tire turns more than the outer (see Ackerman geometry).
Nah, you right I forgot that inner turns slightly more aggressively. Can we instead argue that the midline of the car has to be tangent on the line of longitude that we’d be traveling on to maintain radial position?
Side note: it’s not radial position on the surface skin of a sphere but I couldn’t think of a better term. Any ideas for a better wording?