N-body dynamics#
Direct-summation gravity in physicskit.astro.nbody: the sensitive
dependence on initial conditions Poincare discovered in the three-body
problem, the figure-eight choreography, the virial theorem, and the
long-term stability that symplectic integration buys N-body simulation.
Poincare’s discovery: sensitive dependence in the three-body problem
Poincare's discovery: sensitive dependence in the three-body problem
Clausius’s virial theorem for a bound gravitational orbit
Clausius's virial theorem for a bound gravitational orbit
Symplectic integration and long-term N-body stability
Symplectic integration and long-term N-body stability