Spherical isochrone model (source code)

= Spherical isochrone model
{wiki=Isochrone_model}

The spherical isochrone model has potential
$$
\Phi(r)=-\frac{GM}{b+\sqrt{b^2+r^2}}.
$$
Its radial period depends only on orbital energy, while its <radial action> and frequencies are elementary functions of the integrals of motion.