Atlas422 of 3,942

I.A.96

From Li, Jing & Liao (2018)

I.A.96 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 110.1 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 0.000417 of each other at a top speed of 49, line up 214 times a period, and the computed loop closes to 1.2×10⁻²⁵.

Measured over one period

Period: 110.1033828
Masses: 1 : 1 : 1
Energy: -1.98781
Angular momentum: 0
Closest approach: 4.2×10⁻⁴
Top speed: 48.99
Path length: 295.66
Alignments per period: 214
Topology: ababABAbabaBABababABABababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabABABababABABabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²⁵

Neighbours on the map

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