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Nov 12, 2019 at 21:04 vote accept DarkDrassher34
Nov 12, 2019 at 20:53 vote accept DarkDrassher34
Nov 12, 2019 at 20:53
Nov 12, 2019 at 20:42 history edited DarkDrassher34 CC BY-SA 4.0
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Nov 12, 2019 at 20:23 answer added John Alexiou timeline score: 1
Nov 12, 2019 at 20:19 comment added DarkDrassher34 Ok. What is the answer then?
Nov 12, 2019 at 20:16 comment added John Alexiou This is two different questions actually. First given a path $(x,y)$ what is the tangent vector and radius of curvature. Second is given the radius of curvature and the geometry of a vehicle, what are the steering angles? The first one is a known problem in differential geometry and the second one is a geometry problem that requires simple trigonometry.
Nov 12, 2019 at 20:05 comment added DarkDrassher34 You can assume that the point that is tracked by (x,y) is whichever makes the calculation the easiest.
Nov 12, 2019 at 20:01 comment added John Alexiou What point of the vehicle is tracked by (x,y)? Kinematically the velocity vector is tangent to the path only at the point in the middle of the non-steering wheels. Otherwise a transformation would need to be applied to get the (x,y) of the non-steering side. Please provide a sketch with the important dimensions and locations called out.
Nov 12, 2019 at 19:51 history asked DarkDrassher34 CC BY-SA 4.0