Periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

DOI10.1007/BF00643208zbMath0758.70006OpenAlexW2020432315MaRDI QIDQ1194586

F. M. F. El-Sabaa

Publication date: 4 October 1992

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00643208

zbMATH Keywords

existenceplane motionmethod of small parameters

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Free motion of a rigid body (70E15) Motion of the gyroscope (70E05)

Related Items (1)

Fast computation of complete elliptic integrals and Jacobian elliptic functions

Cites Work

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• Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using ?-function
• Periodic solutions of the problem of the motion of the heavy rigid body around the fixed point in Kovalevskaya's case and their stability

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