Atlas3,785 of 3,942

Family NF.6

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

Family NF.6 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 48.104 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 40.24), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000122 of each other at a top speed of 90.8, line up 20 times a period, and the computed loop closes to 9.5×10⁻²³.

Measured over one period

Period: 48.10441368
Masses: 1 : 1 : 1
Energy: -0.739738
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 90.79
Path length: 83.880
Alignments per period: 20
Topology: aaBABaBABaaBB (free-group class)
Stability: unstable (|λ|max 40.24)
Loop closure: 9.5×10⁻²³

Neighbours on the map

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