Atlas3,806 of 3,942

Family NF.91

From Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022)

Family NF.91 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.362 time units, published by Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022). Orbits from topological families that no earlier catalogue contained; all of them unstable. It is unstable (largest Floquet multiplier 21417), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00162 of each other at a top speed of 25, line up 86 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 53.36213372
Masses: 1 : 1 : 1
Energy: -1.81527
Angular momentum: 0
Closest approach: 0.001620
Top speed: 24.99
Path length: 150.89
Alignments per period: 86
Topology: abaBAbabABabaBAbabABAbaBAbabABabABAbaBABabABabaBAbaBAB (free-group class)
Stability: unstable (|λ|max 21417)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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