Atlas1,802 of 3,942

II.C.134

From Li & Liao (2017)

II.C.134 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 104.32 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 20.26), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00177 of each other at a top speed of 23.8, line up 206 times a period, and the computed loop closes to 2.2×10⁻²⁵.

Measured over one period

Period: 104.3189283
Masses: 1 : 1 : 1
Energy: -2.03231
Angular momentum: 0
Closest approach: 0.001772
Top speed: 23.76
Path length: 297.96
Alignments per period: 206
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 20.26)
Loop closure: 2.2×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.