Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler's third law: a numerical test

V. Dmitrašinović, Ana Hudomal, Mitsuru Shibayama +1

We test numerically the recently proposed linear relationship between the scale-invariant period $T_{s.i.}=T|E{|}^{3/2}$, and the topology of an orbit, on several hundred plan…