Research Questions for the Three Body Problem

• Naive estimate of Jupiter's effect on Earth's orbit
• Questions on Integrability
• The Laplace Vector
• ``Energy''
• Symplectic Numerical Integration for Hamiltonian Systems
• Destruction of the Last KAM Torus and the Most Irrational Number. (Shenker & Kadanoff)
• Destruction by Crisis
• Arnol'd Diffusion
• Stability of the L5 point: Periodic orbits and chaos.
• The Laplace Vector and the Ice Ages?
• Adiabatic Invariants
• Three-Body Quantum Systems
• The Moon

Jupiter:

• Description of the Three-Body Problem.
• Jupiter, Earth, and Sun
• Why hasn't the Earth left the Solar System?
• Invariant Tori
• Chaos!
• Lagrange Points
• Poincaré Section for the L5 Point
• Questions for Further Research

How to Get Jupiter

James P. Sethna, sethna@lassp.cornell.edu.

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).