Atlas3,727 of 3,942

Family NF.9

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

Family NF.9 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 15.334 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 8478), so a small nudge makes it unravel over a few periods. The bodies pass within 0.121 of each other at a top speed of 3.25, line up 26 times a period, and the computed loop closes to 2.1×10⁻²⁸.

Measured over one period

Period: 15.33370144
Masses: 1 : 1 : 1
Energy: -1.88252
Angular momentum: 0
Closest approach: 0.1212
Top speed: 3.249
Path length: 44.362
Alignments per period: 26
Topology: aaBAbaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 8478)
Loop closure: 2.1×10⁻²⁸

Neighbours on the map

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