Аннотация:
A brake orbit for the N-body problem is a solution for which, at some instant, all
velocities of all bodies are zero. We reprove two “lost theorems” regarding brake orbits and
use them to establish some surprising properties of the completion of the Jacobi – Maupertuis
metric for the N-body problem at negative energies.
Ключевые слова:N-body problem, Hill region, Jacobi – Maupertuis metric, brake orbit, zero velocity
surface.
Список литературы