Minimal energy configurations of gravitationally interacting rigid bodies

DOI10.1007/s10569-016-9743-7zbMath1365.70011OpenAlexW2558432090MaRDI QIDQ2360158

Richard Moeckel

Publication date: 26 June 2017

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

Full work available at URL: https://doi.org/10.1007/s10569-016-9743-7

zbMATH Keywords

configurationscelestial mechanicsrigid bodies

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Dynamical systems methods for problems in mechanics (70G60) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (9)

Stability of the Euler resting \(N\)-body relative equilibria ⋮ Counting relative equilibrium configurations of the full two-body problem ⋮ Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations ⋮ Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem ⋮ Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem ⋮ Disassociation energies for the finite-density \(N\)-body problem ⋮ Relative equilibria of the 3-body problem in \(\mathbb{R}^4\) ⋮ An analytical model for tidal evolution in co-orbital systems. I: Application to exoplanets. ⋮ Principal Periodic Orbits of the Keplerian Dumbbell System

Cites Work

• Unnamed Item
• Reduction, relative equilibria and potential in the two rigid bodies problem
• Stability of relative equilibria. I: The reduced energy-momentum method
• On central configurations
• Minimum energy configurations in the \(N\)-body problem and the celestial mechanics of granular systems
• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
• Lectures on Mechanics

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