Atlas760 of 3,942

I.A.81

From Li, Jing & Liao (2018)

I.A.81 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 179.1 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 weakly unstable (largest Floquet multiplier 1.028), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00117 of each other at a top speed of 29.3, line up 174 times a period, and the computed loop closes to 2.2×10⁻²⁵.

Measured over one period

Period: 179.1036336
Masses: 1 : 1 : 1
Energy: -1.30157
Angular momentum: 0
Closest approach: 0.001169
Top speed: 29.25
Path length: 447.48
Alignments per period: 174
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.028)
Loop closure: 2.2×10⁻²⁵

Neighbours on the map

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