Atlas484 of 3,942

I.A.102

From Li, Jing & Liao (2018)

I.A.102 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.49 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 0.000129 of each other at a top speed of 88.2, line up 218 times a period, and the computed loop closes to 5.1×10⁻²⁴.

Measured over one period

Period: 131.4852185
Masses: 1 : 1 : 1
Energy: -1.80089
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 88.20
Path length: 348.34
Alignments per period: 218
Topology: ababABAbabaBABabaBABAbabABAbabaBABababABAbabABABabaBABababABAbabABABabaBABAbabABAbabaBABabaBABAbabABABabaBABababABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.1×10⁻²⁴

Neighbours on the map

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