Atlas3,828 of 3,942

Family NF.41

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

Family NF.41 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 31.628 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 19.75), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000096 of each other at a top speed of 323, line up 60 times a period, and the computed loop closes to 7.9×10⁻¹⁸.

Measured over one period

Period: 31.62781254
Masses: 1 : 1 : 1
Energy: -1.99032
Angular momentum: 0
Closest approach: 9.6×10⁻⁶
Top speed: 322.8
Path length: 91.237
Alignments per period: 60
Topology: ababABabaBABAbabABababABAbabABabaBAB (free-group class)
Stability: unstable (|λ|max 19.75)
Loop closure: 7.9×10⁻¹⁸

Neighbours on the map

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