Atlas3,765 of 3,942

Family NF.1

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

Family NF.1 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 45.872 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 339.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.322 of each other at a top speed of 2.03, line up 12 times a period, and the computed loop closes to 3.7×10⁻²⁸.

Measured over one period

Period: 45.87219814
Masses: 1 : 1 : 1
Energy: -0.531812
Angular momentum: 0
Closest approach: 0.3223
Top speed: 2.029
Path length: 71.242
Alignments per period: 12
Topology: aaBAbbAB (free-group class)
Stability: unstable (|λ|max 339.3)
Loop closure: 3.7×10⁻²⁸

Neighbours on the map

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