Atlas3,822 of 3,942

Family NF.74

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

Family NF.74 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 47.369 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 27841), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000425 of each other at a top speed of 48.6, line up 76 times a period, and the computed loop closes to 1.0×10⁻²⁴.

Measured over one period

Period: 47.36884376
Masses: 1 : 1 : 1
Energy: -1.82332
Angular momentum: 0
Closest approach: 4.3×10⁻⁴
Top speed: 48.58
Path length: 138.25
Alignments per period: 76
Topology: abaBAbaBAbabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 27841)
Loop closure: 1.0×10⁻²⁴

Neighbours on the map

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