Atlas3,799 of 3,942

Family NF.18

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

Family NF.18 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 64.593 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 8829), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00175 of each other at a top speed of 24.1, line up 42 times a period, and the computed loop closes to 4.0×10⁻²⁵.

Measured over one period

Period: 64.59272541
Masses: 1 : 1 : 1
Energy: -0.985795
Angular momentum: 0
Closest approach: 0.001749
Top speed: 24.07
Path length: 125.90
Alignments per period: 42
Topology: abaBAbabABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 8829)
Loop closure: 4.0×10⁻²⁵

Neighbours on the map

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