Atlas3,778 of 3,942

Family NF.14

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

Family NF.14 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 62.857 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 1574), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0977 of each other at a top speed of 3.51, line up 34 times a period, and the computed loop closes to 2.5×10⁻²⁷.

Measured over one period

Period: 62.85667468
Masses: 1 : 1 : 1
Energy: -0.872366
Angular momentum: 0
Closest approach: 0.09768
Top speed: 3.510
Path length: 119.72
Alignments per period: 34
Topology: aabABabABabABabABabbAB (free-group class)
Stability: unstable (|λ|max 1574)
Loop closure: 2.5×10⁻²⁷

Neighbours on the map

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