Atlas3,756 of 3,915

Family NF.61

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

Family NF.61 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 47.606 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 41379), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00017 of each other at a top speed of 76.9, line up 70 times a period, and the computed loop closes to 8.5×10⁻²⁴.

Measured over one period

Period: 47.60583628
Masses: 1 : 1 : 1
Energy: -1.71011
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 76.92
Path length: 130.04
Alignments per period: 70
Stability: unstable (|λ|max 41379)
Loop closure: 8.5×10⁻²⁴

Neighbours on the map

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