Animations for some periodic orbits proved in the paper "Symmetric periodic orbits in three sub-problems of the N-body problem".

All orbits have regularizable collision singularities.



Schubart-like orbit
Schubart-like orbit
with many collisions
An unproven orbit
Isosceles three-body problem
(a special case of the
n-pyramidal problem)


Schubart-like orbit
Brake orbit
Brake orbit
with many collisions

Tetrahedral four-body problem
(a special case of the spatial
double-polygon problem)

Two masses (blue & green) remain on the xz-plane, while the other two masses remain on the yz-plane.