Atlas3,803 of 3,915

Family NF.46

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

Family NF.46 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 31.576 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 2661), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00779 of each other at a top speed of 11.3, line up 62 times a period, and the computed loop closes to 7.9×10⁻²⁷.

Measured over one period

Period: 31.57583242
Masses: 1 : 1 : 1
Energy: -2.05403
Angular momentum: 0
Closest approach: 0.007795
Top speed: 11.32
Path length: 94.450
Alignments per period: 62
Stability: unstable (|λ|max 2661)
Loop closure: 7.9×10⁻²⁷

Neighbours on the map

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