Geodesic
Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 20-24

Voir la notice de l'article provenant de la source Math-Net.Ru

Kinematics of the motion of a two-wheeled skateboard known as an essboard or a ripstik is studied in this paper. Using the theory of finite rotations, we propose an elementary derivation of the formula connecting the angle of slope of the ripstik platform with the angle of rotation of the wheels.
Keywords: two-wheeled ripstik skateboard, geometric constraint, finite rotation. 
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     author = {M. M. Gadzhiev and A. S. Kuleshov and A. I. Bukanov},
     title = {Geometric {Constraints} in the {Problem} of {Motion} of a {Two-Wheeled} {Ripstik} {Skateboard}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {148},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2018_148_a3/}
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M. M. Gadzhiev; A. S. Kuleshov; A. I. Bukanov. Geometric Constraints in the Problem of Motion of a Two-Wheeled Ripstik Skateboard. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 20-24. http://geodesic.mathdoc.fr/item/INTO_2018_148_a3/