Atlas1,499 of 3,942

II.C.228

From Li & Liao (2017)

II.C.228 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 110.5 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 14093), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000286 of each other at a top speed of 59.1, line up 136 times a period, and the computed loop closes to 2.4×10⁻²⁴.

Measured over one period

Period: 110.5012495
Masses: 1 : 1 : 1
Energy: -1.51819
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 59.15
Path length: 292.83
Alignments per period: 136
Topology: abaBAbabABabABAbaBAbabABabaBAbaBABabABabaBAbabABabABAbaBABabABabaBAbabABabABAbaBABabAB (free-group class)
Stability: unstable (|λ|max 14093)
Loop closure: 2.4×10⁻²⁴

Neighbours on the map

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