Atlas3,766 of 3,942

Family NF.37

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

Family NF.37 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 21.443 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 1976), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00338 of each other at a top speed of 17.3, line up 60 times a period, and the computed loop closes to 5.1×10⁻²⁵.

Measured over one period

Period: 21.44263137
Masses: 1 : 1 : 1
Energy: -2.47819
Angular momentum: 0
Closest approach: 0.003376
Top speed: 17.31
Path length: 59.402
Alignments per period: 60
Topology: aaabABABabbbaBAABababABABababABBAb (free-group class)
Stability: unstable (|λ|max 1976)
Loop closure: 5.1×10⁻²⁵

Neighbours on the map

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