Atlas482 of 3,942

I.A.106

From Li, Jing & Liao (2018)

I.A.106 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 116.77 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 1.138), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000116 of each other at a top speed of 92.9, line up 226 times a period, and the computed loop closes to 1.0×10⁻²⁴.

Measured over one period

Period: 116.7651488
Masses: 1 : 1 : 1
Energy: -1.99110
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 92.87
Path length: 321.01
Alignments per period: 226
Topology: ababABAbabaBABababABAbabABABababABAbabaBABabaBABAbabABABababABAbabABABabaBABAbabABABabaBABababABABabaBABAbabABAbabaBABababABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.138)
Loop closure: 1.0×10⁻²⁴

Neighbours on the map

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