Atlas661 of 3,942

I.A.74

From Li, Jing & Liao (2018)

I.A.74 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 119.72 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 19.74), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000287 of each other at a top speed of 59, line up 170 times a period, and the computed loop closes to 7.6×10⁻²⁵.

Measured over one period

Period: 119.7236641
Masses: 1 : 1 : 1
Energy: -1.65306
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 58.98
Path length: 321.87
Alignments per period: 170
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBABabaBABabABAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 19.74)
Loop closure: 7.6×10⁻²⁵

Neighbours on the map

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