Atlas3,787 of 3,942

Family NF.10

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

Family NF.10 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 18.394 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 6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0271 of each other at a top speed of 6.33, line up 28 times a period, and the computed loop closes to 1.9×10⁻²⁷.

Measured over one period

Period: 18.39408945
Masses: 1 : 1 : 1
Energy: -1.73744
Angular momentum: 0
Closest approach: 0.02712
Top speed: 6.332
Path length: 48.409
Alignments per period: 28
Topology: aabABabABabABabbAB (free-group class)
Stability: unstable (|λ|max 6000)
Loop closure: 1.9×10⁻²⁷

Neighbours on the map

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