Three Body Orbits

Families / Li–Liao classes

I.C orbits

The rare class I.C orbits.

I.C orbits are periodic solutions of the planar three-body problem. The atlas holds 3 of them, with periods from 113.8 to 183.4, for several mass ratios; all 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)

See them on the mapOpen I.C.1

All 3 orbits

I.C.1, a periodic three-body orbitI.C.1 m₃ = 0.75T 164.2 stableI.C.1, a periodic three-body orbitI.C.1 m₃ = 2T 113.8 stableI.C.2, a periodic three-body orbitI.C.2 m₃ = 2T 183.4 stable