Atlas3,812 of 3,915

Family NF.73

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

Family NF.73 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 48.649 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 656.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00284 of each other at a top speed of 18.8, line up 74 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 48.64920171
Masses: 1 : 1 : 1
Energy: -1.75768
Angular momentum: 0
Closest approach: 0.002844
Top speed: 18.80
Path length: 136.28
Alignments per period: 74
Stability: unstable (|λ|max 656.1)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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