Atlas3,752 of 3,942

Family NF.7

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

Family NF.7 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 42.911 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 625.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00108 of each other at a top speed of 30.7, line up 20 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 42.91083070
Masses: 1 : 1 : 1
Energy: -0.798829
Angular momentum: 0
Closest approach: 0.001080
Top speed: 30.70
Path length: 72.588
Alignments per period: 20
Topology: aaBABaBABaaBB (free-group class)
Stability: unstable (|λ|max 625.5)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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