Atlas739 of 3,942

I.A.58

From Li, Jing & Liao (2018)

I.A.58 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 130.12 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 1.052), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00185 of each other at a top speed of 23.2, line up 130 times a period, and the computed loop closes to 2.5×10⁻²⁵.

Measured over one period

Period: 130.1232036
Masses: 1 : 1 : 1
Energy: -1.32696
Angular momentum: 0
Closest approach: 0.001853
Top speed: 23.23
Path length: 329.04
Alignments per period: 130
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.052)
Loop closure: 2.5×10⁻²⁵

Neighbours on the map

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