Symbolic dynamics for the anisotropic $N$-centre problem at negative energies

Vivina Barutello, Gian Marco Canneori, Susanna Terracini

The planar $N$-centre problem describes the motion of a particle moving in the plane under the action of the force fields of $N$ fixed attractive centres: \[ \ddot{x}(t)=\sum_{j=1}…