Atlas3,793 of 3,942

Family NF.90

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

Family NF.90 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 58.014 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 3374), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000854 of each other at a top speed of 108, line up 86 times a period, and the computed loop closes to 3.7×10⁻²³.

Measured over one period

Period: 58.01378156
Masses: 1 : 1 : 1
Energy: -1.71688
Angular momentum: 0
Closest approach: 8.5×10⁻⁵
Top speed: 108.4
Path length: 159.48
Alignments per period: 86
Topology: abaBAbabABabaBAbabABAbaBAbabABabABAbaBABabABabaBAbaBAB (free-group class)
Stability: unstable (|λ|max 3374)
Loop closure: 3.7×10⁻²³

Neighbours on the map

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