Atlas754 of 3,942

I.A.83

From Li, Jing & Liao (2018)

I.A.83 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 168.95 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 1.006), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000499 of each other at a top speed of 44.8, line up 178 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 168.9508732
Masses: 1 : 1 : 1
Energy: -1.36698
Angular momentum: 0
Closest approach: 5.0×10⁻⁴
Top speed: 44.75
Path length: 424.21
Alignments per period: 178
Topology: abaBAbabABabaBAbabABabABAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABAbaBABabABabaBAbabABabaBAbaBABabABAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.006)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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