Atlas3,780 of 3,915

Family NF.107

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

Family NF.107 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 54.032 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 14735), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00416 of each other at a top speed of 15.7, line up 98 times a period, and the computed loop closes to 4.2×10⁻²⁵.

Measured over one period

Period: 54.03163200
Masses: 1 : 1 : 1
Energy: -1.94752
Angular momentum: 0
Closest approach: 0.004162
Top speed: 15.66
Path length: 155.07
Alignments per period: 98
Stability: unstable (|λ|max 14735)
Loop closure: 4.2×10⁻²⁵

Neighbours on the map

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