Atlas3,732 of 3,915

Family NF.39

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

Family NF.39 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 51.15 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 224), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000379 of each other at a top speed of 51.4, line up 58 times a period, and the computed loop closes to 3.2×10⁻²⁴.

Measured over one period

Period: 51.14964411
Masses: 1 : 1 : 1
Energy: -1.39796
Angular momentum: 0
Closest approach: 3.8×10⁻⁴
Top speed: 51.41
Path length: 120.52
Alignments per period: 58
Stability: unstable (|λ|max 2240)
Loop closure: 3.2×10⁻²⁴

Neighbours on the map

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