Atlas418 of 3,942

I.A.116

From Li, Jing & Liao (2018)

I.A.116 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 167.58 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 1.528), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000933 of each other at a top speed of 32.8, line up 254 times a period, and the computed loop closes to 2.3×10⁻²⁵.

Measured over one period

Period: 167.5764021
Masses: 1 : 1 : 1
Energy: -1.68947
Angular momentum: 0
Closest approach: 9.3×10⁻⁴
Top speed: 32.77
Path length: 421.51
Alignments per period: 254
Topology: ababABAbabaBABababABAbabaBABababABABabaBABababABAbabaBABAbabABABabaBABababABABabaBABAbabABABabaBABAbabABABababABAbabABABabaBABAbabaBABababABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 1.528)
Loop closure: 2.3×10⁻²⁵

Neighbours on the map

All I.A orbits, the families of periodic three-body orbits, or the atlas map.