Atlas383 of 3,942

I.A.103

From Li, Jing & Liao (2018)

I.A.103 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 118.27 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 0.0000567 of each other at a top speed of 133, line up 222 times a period, and the computed loop closes to 5.8×10⁻²³.

Measured over one period

Period: 118.2740940
Masses: 1 : 1 : 1
Energy: -1.93647
Angular momentum: 0
Closest approach: 5.7×10⁻⁵
Top speed: 132.8
Path length: 307.91
Alignments per period: 222
Topology: ababABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabABABababABABabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.8×10⁻²³

Neighbours on the map

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