Drifting on plane curves

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发表日期：

2025年9月9日

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Blaž Jelenc

摘要

The paper describes a particular model of a drifting car. We analyse drifting along an arbitrary plane curve and conclude that, depending on the desired level of smoothness of motion, either that drifting is always possible under mild conditions, or if the smoother solution is desired, drifting is possible, if the curvature $\kappa $ $κ$ of the curve is not changing to rapidly in a certain sense. We introduce the notion of a wide function and the conclusion is that if the function $\frac{1}{2\kappa }$ $\frac{1}{2 κ}$ is a wide function, then smooth drifting along the curve is possible. We give explicit examples of drifting along various curves.