Atlas3,729 of 3,915

Family NF.4

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

Family NF.4 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 9.8706 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 1022), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0602 of each other at a top speed of 4.45, line up 16 times a period, and the computed loop closes to 3.4×10⁻²⁸.

Measured over one period

Period: 9.870600084
Masses: 1 : 1 : 1
Energy: -1.80992
Angular momentum: 0
Closest approach: 0.06021
Top speed: 4.446
Path length: 27.124
Alignments per period: 16
Stability: unstable (|λ|max 1022)
Loop closure: 3.4×10⁻²⁸

Neighbours on the map

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