Atlas1,914 of 3,942

II.C.218

From Li & Liao (2017)

II.C.218 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.561 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 1169), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000108 of each other at a top speed of 96.3, line up 132 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 55.56110852
Masses: 1 : 1 : 1
Energy: -2.26684
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 96.25
Path length: 164.24
Alignments per period: 132
Topology: ababABAbabaBABAbabaBABAbabaBABababABABabaBABAbabaBABAbabaBABAbabaBABAbabABAB (free-group class)
Stability: unstable (|λ|max 1169)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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