Instability of the 2+2 body problem

DOI10.1007/BF01238759zbMath0648.70013OpenAlexW2022925656MaRDI QIDQ3793802

A. M. Nobili, Andrea Milani

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01238759

zbMATH Keywords

Jacobi integralpotential energyconfinementHill stabilitySolar Systemlevel manifoldsSun-Jupiter-two asteroids system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10)

Related Items (3)

Equilibria and stability of the restricted photogravitational problem of \(2+2\) bodies ⋮ Generalized Hill's problem: Lagrangian Hill's case ⋮ Periodic orbits in the four body problem with large and small masses

Cites Work

• Measure of degenerate relative equilibria. I
• On the stability of hierarchical four-body systems
• Stability of binary asteroids
• The restricted problem of n+? bodies
• Equilibrium solutions of the restricted problem of 2+2 bodies
• Generalizations of the Jacobian integral

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