On the motion of a mechanical system inside a rolling ball

MaRDI QIDQ6655565

S. V. Bolotin, Tat'Yana Valentinovna Popova

Publication date: 27 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

Lagrange equationsHamilton principlenonholonomic constraintrolling ball

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Cites Work

• Rolling of a homogeneous ball over a dynamically asymmetric sphere
• Generalized Chaplygins transformation and explicit integration of a system with a spherical support

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