Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping

DOI10.3103/S0027133012040036zbMath1353.70008OpenAlexW1987838355MaRDI QIDQ2018076

M. V. Shamolin

Publication date: 24 March 2015

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133012040036

Mathematics Subject Classification ID

Free motion of a rigid body (70E15)

Related Items (3)

Integrable systems with variable dissipation on the tangent bundle of a sphere ⋮ Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere ⋮ Transcendental first integrals of dynamical systems on the tangent bundle to the sphere

Cites Work

• Body motion in a resisting medium
• New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium.
• An integrable case of dynamical equations on $ so(4)\times\mathbb R^4$

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