Atlas3,814 of 3,915

Family NF.112

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

Family NF.112 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 56.661 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 2557), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00229 of each other at a top speed of 21, line up 112 times a period, and the computed loop closes to 1.9×10⁻²⁶.

Measured over one period

Period: 56.66076786
Masses: 1 : 1 : 1
Energy: -2.05553
Angular momentum: 0
Closest approach: 0.002286
Top speed: 21.01
Path length: 167.73
Alignments per period: 112
Stability: unstable (|λ|max 2557)
Loop closure: 1.9×10⁻²⁶

Neighbours on the map

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