Atlas569 of 3,942

I.A.113

From Li, Jing & Liao (2018)

I.A.113 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 157.42 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 0.000198 of each other at a top speed of 71.1, line up 242 times a period, and the computed loop closes to 8.4×10⁻¹⁸.

Measured over one period

Period: 157.4236702
Masses: 1 : 1 : 1
Energy: -1.72357
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 71.11
Path length: 418.49
Alignments per period: 242
Topology: ababABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABababABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.4×10⁻¹⁸

Neighbours on the map

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