Atlas458 of 3,942

I.A.136

From Li, Jing & Liao (2018)

I.A.136 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 186.96 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 0.0000584 of each other at a top speed of 131, line up 314 times a period, and the computed loop closes to 2.6×10⁻²³.

Measured over one period

Period: 186.9603460
Masses: 1 : 1 : 1
Energy: -1.81456
Angular momentum: 0
Closest approach: 5.8×10⁻⁵
Top speed: 130.9
Path length: 494.93
Alignments per period: 314
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.6×10⁻²³

Neighbours on the map

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