About the problem of motion of n gyrostats: I. The first integrals

DOI10.1007/BF01230648zbMath0573.70004OpenAlexW2039099288MaRDI QIDQ3691113

A. Vigueras, R. Cid

Publication date: 1985

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230648

zbMATH Keywords

central fieldexistence of Jacobi's integralexistence of the linear and angular momentum integralsn gyrostatstime dependent relative momenta

Mathematics Subject Classification ID

Celestial mechanics (70F15) Motion of the gyroscope (70E05)

Related Items (4)

On the dynamics of a gyrostat on Lagrangian equilibria in the three body problem ⋮ Phase flow of an axially symmetrical gyrostat with one constant rotor ⋮ Translatory-rotatory motion of a gyrostat in a newtonian force field ⋮ An integrable case of a rotational motion analogous to that of Lagrange and Poisson for a gyrostat in a Newtonian force field

Cites Work

• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• On the generalized restricted problem of three bodies
• About the first integrals of the generalized problem of translatory-rotary motion of rigid bodies

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