Atlas3,772 of 3,942

Family NF.63

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

Family NF.63 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 33.463 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 150.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000886 of each other at a top speed of 33.7, line up 72 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 33.46291821
Masses: 1 : 1 : 1
Energy: -2.18125
Angular momentum: 0
Closest approach: 8.9×10⁻⁴
Top speed: 33.69
Path length: 102.34
Alignments per period: 72
Topology: (ababABAbaBABabABAbaBAB)² (free-group class)
Stability: unstable (|λ|max 150.7)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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