Atlas3,779 of 3,942

Family NF.114

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

Family NF.114 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 57.421 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 70615), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000386 of each other at a top speed of 51, line up 118 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 57.42054030
Masses: 1 : 1 : 1
Energy: -2.11360
Angular momentum: 0
Closest approach: 3.9×10⁻⁴
Top speed: 50.98
Path length: 173.45
Alignments per period: 118
Topology: ababABAbaBABababABAbaBABabaBAbabABabaBAbabABABabaBAbabABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 70615)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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