Atlas445 of 3,942

I.A.164

From Li, Jing & Liao (2018)

I.A.164 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 118.98 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 2.139), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000636 of each other at a top speed of 397, line up 242 times a period, and the computed loop closes to 5.5×10⁻¹⁸.

Measured over one period

Period: 118.9835822
Masses: 1 : 1 : 1
Energy: -2.04700
Angular momentum: 0
Closest approach: 6.4×10⁻⁶
Top speed: 396.6
Path length: 322.44
Alignments per period: 242
Topology: ababABAbabaBABababABABababABABabaBABAbabABABababABAbabaBABAbabaBABababABABabaBABAbabABABababABABababABAbabaBABababABABabaBABAbabaBABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 2.139)
Loop closure: 5.5×10⁻¹⁸

Neighbours on the map

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