Atlas3,764 of 3,915

Family NF.2

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

Family NF.2 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 74.542 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 1594), so a small nudge makes it unravel over a few periods. The bodies pass within 0.471 of each other at a top speed of 1.83, line up 14 times a period, and the computed loop closes to 3.6×10⁻²⁷.

Measured over one period

Period: 74.54169236
Masses: 1 : 1 : 1
Energy: -0.412813
Angular momentum: 0
Closest approach: 0.4711
Top speed: 1.827
Path length: 97.367
Alignments per period: 14
Stability: unstable (|λ|max 1594)
Loop closure: 3.6×10⁻²⁷

Neighbours on the map

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