On the integrability in quadratures of the problem of rolling a heavy homogeneous ball on a surface of revolution of the second order

DOI10.1134/S1063454124700080MaRDI QIDQ6638407

A. A. Shishkov, A. S. Kuleshov

Publication date: 14 November 2024

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

homogeneous ballintegrability in quadraturesno-slip rollingsurface of revolution of second order

Mathematics Subject Classification ID

Algorithms in computer science (68Wxx) Dynamics of a rigid body and of multibody systems (70Exx)

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• Über rollende Bewegung einer Kugel auf Rotationsflächen.
• The advanced part of a treatise on the dynamics of a system of rigid bodies. Being part II of a treatise on the whole subject. 6th ed., revised and enlarged.
• Nonexistence of Liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
• Liouvillian solutions in the problem of rolling of a heavy homogeneous ball on a surface of revolution

This page was built for publication: On the integrability in quadratures of the problem of rolling a heavy homogeneous ball on a surface of revolution of the second order

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6638407)