Atlas3,716 of 3,942

Family NF.93

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

Family NF.93 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 41.281 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 27459), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000291 of each other at a top speed of 587, line up 94 times a period, and the computed loop closes to 1.6×10⁻¹⁹.

Measured over one period

Period: 41.28138702
Masses: 1 : 1 : 1
Energy: -2.18744
Angular momentum: 0
Closest approach: 2.9×10⁻⁶
Top speed: 586.7
Path length: 111.99
Alignments per period: 94
Topology: 0 (free-group class)
Stability: unstable (|λ|max 2.7×10⁵)
Loop closure: 1.6×10⁻¹⁹

Neighbours on the map

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