Atlas736 of 3,942

I.A.59

From Li, Jing & Liao (2018)

I.A.59 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 126.17 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 1.458), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000693 of each other at a top speed of 38, line up 134 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 126.1735922
Masses: 1 : 1 : 1
Energy: -1.37293
Angular momentum: 0
Closest approach: 6.9×10⁻⁴
Top speed: 37.98
Path length: 316.48
Alignments per period: 134
Topology: abaBAbabABabaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBABabABAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.458)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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