Atlas662 of 3,942

I.A.119

From Li, Jing & Liao (2018)

I.A.119 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 171.69 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 unstable (largest Floquet multiplier 29.12), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000162 of each other at a top speed of 78.6, line up 242 times a period, and the computed loop closes to 6.7×10⁻²⁴.

Measured over one period

Period: 171.6871769
Masses: 1 : 1 : 1
Energy: -1.64481
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 78.61
Path length: 460.45
Alignments per period: 242
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBABabaBABabABAbabABAbaBABabaBABabABAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 29.12)
Loop closure: 6.7×10⁻²⁴

Neighbours on the map

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