Atlas3,771 of 3,942

Family NF.31

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

Family NF.31 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 23.856 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 1938), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00108 of each other at a top speed of 30.6, line up 52 times a period, and the computed loop closes to 7.9×10⁻²⁵.

Measured over one period

Period: 23.85589355
Masses: 1 : 1 : 1
Energy: -2.20646
Angular momentum: 0
Closest approach: 0.001078
Top speed: 30.61
Path length: 73.281
Alignments per period: 52
Topology: ababABAbabABabABAbaBABabABabaBAB (free-group class)
Stability: unstable (|λ|max 1938)
Loop closure: 7.9×10⁻²⁵

Neighbours on the map

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