Dynamics of multibody chains in circular orbit: non-integrability of equations of motion

DOI10.1007/s10569-016-9696-xzbMath1367.70012OpenAlexW2470495696WikidataQ59473450 ScholiaQ59473450MaRDI QIDQ2363848

Andrzej J. Maciejewski, Maria Przybylska

Publication date: 26 July 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-016-9696-x

zbMATH Keywords

integrabilitymultibody systemsMorales-Ramis theoryplanar 2-chain problem

Mathematics Subject Classification ID

Orbital mechanics (70M20) Dynamics of multibody systems (70E55) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (1)

Dynamics of constrained many body problems in constant curvature two-dimensional manifolds

Cites Work

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• Non-integrability of the dumbbell and point mass problem
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• A ``spring-mass model of tethered satellite systems: Properties of planar periodic motions
• An algorithm for solving second order linear homogeneous differential equations
• Galoisian obstructions to integrability of Hamiltonian systems. I.
• The dynamics of coupled planar rigid bodies. Part I: reduction, equilibria and stability
• Differential Galois theory and non-integrability of Hamiltonian systems

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