Atlas346 of 3,942

I.A.182

From Li, Jing & Liao (2018)

I.A.182 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 174.43 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 0.0000132 of each other at a top speed of 275, line up 342 times a period, and the computed loop closes to 1.4×10⁻¹⁶.

Measured over one period

Period: 174.4300044
Masses: 1 : 1 : 1
Energy: -1.98618
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 274.9
Path length: 447.17
Alignments per period: 342
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻¹⁶

Neighbours on the map

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