Atlas3,829 of 3,942

Family NF.92

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

Family NF.92 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 50.794 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 4955), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000089 of each other at a top speed of 106, line up 88 times a period, and the computed loop closes to 2.1×10⁻²³.

Measured over one period

Period: 50.79419453
Masses: 1 : 1 : 1
Energy: -1.88984
Angular momentum: 0
Closest approach: 8.9×10⁻⁵
Top speed: 106.1
Path length: 146.60
Alignments per period: 88
Topology: ababABAbaBABabaBAbabABabaBABabABAbabABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 4955)
Loop closure: 2.1×10⁻²³

Neighbours on the map

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