Atlas545 of 3,942

I.A.142

From Li, Jing & Liao (2018)

I.A.142 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 173.3 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 2.068), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000669 of each other at a top speed of 38.7, line up 346 times a period, and the computed loop closes to 2.7×10⁻²⁵.

Measured over one period

Period: 173.2990630
Masses: 1 : 1 : 1
Energy: -2.04279
Angular momentum: 0
Closest approach: 6.7×10⁻⁴
Top speed: 38.71
Path length: 492.07
Alignments per period: 346
Topology: ababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabABABabaBABAbabABAbabABABabaBABabaBABAbabABABabaBABabaBABAbabABAbabABABabaBABababABAbabABAbabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 2.068)
Loop closure: 2.7×10⁻²⁵

Neighbours on the map

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