On the motion of a ball without bouncing on a smooth plane
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 625-632
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We analyze domains of an axisymmetric ball with the shifted center mass motion without bouncing (i. e. in constant contact) on a smooth plane. We show that these domains belong to the region of parameters, corresponding to regimes of regular precession (the ball's axis about axis $z$). We also give explicit formulas for domain boundaries.
Keywords:
rigid body, motion without bouncing on a smooth plane.
@article{ND_2009_5_4_a12,
author = {V. V. Vaskin and O. S. Naymushina},
title = {On the motion of a ball without bouncing on a smooth plane},
journal = {Russian journal of nonlinear dynamics},
pages = {625--632},
publisher = {mathdoc},
volume = {5},
number = {4},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2009_5_4_a12/}
}
V. V. Vaskin; O. S. Naymushina. On the motion of a ball without bouncing on a smooth plane. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 625-632. http://geodesic.mathdoc.fr/item/ND_2009_5_4_a12/