Atlas421 of 3,942

I.A.110

From Li, Jing & Liao (2018)

I.A.110 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.87 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 0.0000784 of each other at a top speed of 113, line up 234 times a period, and the computed loop closes to 5.3×10⁻²⁴.

Measured over one period

Period: 131.8709942
Masses: 1 : 1 : 1
Energy: -1.87395
Angular momentum: 0
Closest approach: 7.8×10⁻⁵
Top speed: 112.9
Path length: 347.15
Alignments per period: 234
Topology: ababABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabaBABababABAbabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.3×10⁻²⁴

Neighbours on the map

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