Atlas385 of 3,942

I.A.122

From Li, Jing & Liao (2018)

I.A.122 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 122.15 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 0.0000588 of each other at a top speed of 13, line up 258 times a period, and the computed loop closes to 1.0×10⁻¹⁹.

Measured over one period

Period: 122.1507474
Masses: 1 : 1 : 1
Energy: -2.08846
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.4
Path length: 322.88
Alignments per period: 258
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.0×10⁻¹⁹

Neighbours on the map

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