Atlas367 of 3,942

I.A.180

From Li, Jing & Liao (2018)

I.A.180 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 173.92 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 0.0000267 of each other at a top speed of 194, line up 326 times a period, and the computed loop closes to 5.8×10⁻²¹.

Measured over one period

Period: 173.9208149
Masses: 1 : 1 : 1
Energy: -1.93491
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 193.7
Path length: 452.94
Alignments per period: 326
Topology: ababABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabABABababABABabaBABAbabaBABAbabABABababABABabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.8×10⁻²¹

Neighbours on the map

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