Atlas387 of 3,942

I.A.140

From Li, Jing & Liao (2018)

I.A.140 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 155.46 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000035 of each other at a top speed of 535, line up 342 times a period, and the computed loop closes to 1.4×10⁻¹⁶.

Measured over one period

Period: 155.4631166
Masses: 1 : 1 : 1
Energy: -2.14464
Angular momentum: 0
Closest approach: 3.5×10⁻⁶
Top speed: 534.5
Path length: 414.78
Alignments per period: 342
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻¹⁶

Neighbours on the map

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