Atlas424 of 3,942

I.A.138

From Li, Jing & Liao (2018)

I.A.138 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 152.16 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 unstable (largest Floquet multiplier 71.66), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000184 of each other at a top speed of 73.8, line up 326 times a period, and the computed loop closes to 2.5×10⁻²⁴.

Measured over one period

Period: 152.1599660
Masses: 1 : 1 : 1
Energy: -2.11530
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 73.77
Path length: 414.30
Alignments per period: 326
Topology: ababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabABABababABAbabaBABAbabaBABAbabaBABababABABabaBABAbabaBABAbabABABababABABababABAbabaBABAbabaBABababABABabaBABAbabaBABAbabaBABAbabABAB (free-group class)
Stability: unstable (|λ|max 71.66)
Loop closure: 2.5×10⁻²⁴

Neighbours on the map

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