Atlas382 of 3,942

I.A.84

From Li, Jing & Liao (2018)

I.A.84 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 104.31 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 0.0000809 of each other at a top speed of 111, line up 194 times a period, and the computed loop closes to 1.2×10⁻¹⁷.

Measured over one period

Period: 104.3138749
Masses: 1 : 1 : 1
Energy: -1.92608
Angular momentum: 0
Closest approach: 8.1×10⁻⁵
Top speed: 111.2
Path length: 272.20
Alignments per period: 194
Topology: ababABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABababABABabaBABAbabaBABAbabABABababABABabaBABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻¹⁷

Neighbours on the map

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