Atlas3,770 of 3,942

Family NF.32

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

Family NF.32 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 23.445 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 788.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0151 of each other at a top speed of 8.31, line up 52 times a period, and the computed loop closes to 1.0×10⁻²⁷.

Measured over one period

Period: 23.44463195
Masses: 1 : 1 : 1
Energy: -2.23220
Angular momentum: 0
Closest approach: 0.01512
Top speed: 8.307
Path length: 72.348
Alignments per period: 52
Topology: ababABAbabABabABAbaBABabABabaBAB (free-group class)
Stability: unstable (|λ|max 788.6)
Loop closure: 1.0×10⁻²⁷

Neighbours on the map

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