Families / Li–Liao classes
I.A orbits
Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass.
I.A orbits are periodic solutions of the planar three-body problem. The atlas holds 513 of them, with periods from 4.176 to 199.5, for several mass ratios; 277 of them are linearly stable. They come from Li, Jing & Liao (2018), Over a thousand new periodic orbits of a planar three-body system with unequal masses. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.
Li, Jing & Liao (2018). Over a thousand new periodic orbits of a planar three-body system with unequal masses. Publications of the Astronomical Society of Japan 70, 64 (doi)