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Rolling of a body on a plane or a sphere: a geometric point of view

Published online by Cambridge University Press:  17 April 2009

S. Reza Moghadasi
S. Reza Moghadasi
Affiliation:
Department of Mathematics, Sharif Unviersity of Technology, P.O. Box 11365–9415, Tehran, Iran e-mail: moghadasi@math.sharif.edu
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A pair of bodies rolling on each other is an interesting example of nonholonomic systems in control theory. Here the controllability of rolling bodies is investigated with a global approach. By using simple geometric facts, this problem has been completely solved in the special case where one of them is a plane or a sphere.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 245 - 256
Copyright
Copyright © Australian Mathematical Society 2004

References

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