Atlas756 of 3,942

I.A.155

From Li, Jing & Liao (2018)

I.A.155 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.71 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 5.359), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00124 of each other at a top speed of 28.4, line up 142 times a period, and the computed loop closes to 2.6×10⁻²⁵.

Measured over one period

Period: 131.7096281
Masses: 1 : 1 : 1
Energy: -1.38222
Angular momentum: 0
Closest approach: 0.001244
Top speed: 28.35
Path length: 328.49
Alignments per period: 142
Topology: abaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBABabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 5.359)
Loop closure: 2.6×10⁻²⁵

Neighbours on the map

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