Atlas2,018 of 3,942

II.C.180

From Li & Liao (2017)

II.C.180 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 162.44 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 16.71), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000783 of each other at a top speed of 113, line up 346 times a period, and the computed loop closes to 7.6×10⁻²⁴.

Measured over one period

Period: 162.4404868
Masses: 1 : 1 : 1
Energy: -2.11004
Angular momentum: 0
Closest approach: 7.8×10⁻⁵
Top speed: 113.0
Path length: 444.69
Alignments per period: 346
Topology: ababABAbabaBABababABABababABAbabaBABAbabaBABAbabABABabaBABAbabaBABababABABababABABabaBABAbabABABababABAbabaBABAbabaBABababABABabaBABAbabABABababABABababABAbabaBABAbabABABabaBABAbabaBABAbabaBABababABAB (free-group class)
Stability: unstable (|λ|max 16.71)
Loop closure: 7.6×10⁻²⁴

Neighbours on the map

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