Atlas3,731 of 3,942

Family NF.22

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

Family NF.22 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 18.976 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 2798), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000954 of each other at a top speed of 103, line up 44 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 18.97617517
Masses: 1 : 1 : 1
Energy: -2.26470
Angular momentum: 0
Closest approach: 9.5×10⁻⁵
Top speed: 102.5
Path length: 57.298
Alignments per period: 44
Topology: ababABababABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 2798)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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