Atlas753 of 3,942

I.A.73

From Li, Jing & Liao (2018)

I.A.73 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.61 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 1.110), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00134 of each other at a top speed of 27.3, line up 162 times a period, and the computed loop closes to 8.4×10⁻²⁵.

Measured over one period

Period: 164.6131726
Masses: 1 : 1 : 1
Energy: -1.31217
Angular momentum: 0
Closest approach: 0.001344
Top speed: 27.28
Path length: 412.02
Alignments per period: 162
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.110)
Loop closure: 8.4×10⁻²⁵

Neighbours on the map

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