Atlas672 of 3,942

I.A.167

From Li, Jing & Liao (2018)

I.A.167 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 189.4 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 35.92), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00019 of each other at a top speed of 72.5, line up 262 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 189.3994398
Masses: 1 : 1 : 1
Energy: -1.62357
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 72.45
Path length: 504.42
Alignments per period: 262
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBABabABAbabABAbaBABabaBABabABAbabABAbaBABabaBABabABAbabABAbaBABabaBAB (free-group class)
Stability: unstable (|λ|max 35.92)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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