Atlas774 of 3,942

I.A.34

From Li, Jing & Liao (2018)

I.A.34 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 95.881 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 1.182), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00146 of each other at a top speed of 26.2, line up 102 times a period, and the computed loop closes to 7.6×10⁻²⁵.

Measured over one period

Period: 95.88069353
Masses: 1 : 1 : 1
Energy: -1.37482
Angular momentum: 0
Closest approach: 0.001458
Top speed: 26.19
Path length: 240.88
Alignments per period: 102
Topology: abaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.182)
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.