Atlas3,769 of 3,942

Family NF.23

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

Family NF.23 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 22.115 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 11889), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00178 of each other at a top speed of 23.8, line up 46 times a period, and the computed loop closes to 4.6×10⁻²⁵.

Measured over one period

Period: 22.11515242
Masses: 1 : 1 : 1
Energy: -2.13216
Angular momentum: 0
Closest approach: 0.001779
Top speed: 23.84
Path length: 64.990
Alignments per period: 46
Topology: aabABAbaBABabABAbaBABabbABAB (free-group class)
Stability: unstable (|λ|max 11889)
Loop closure: 4.6×10⁻²⁵

Neighbours on the map

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