Atlas3,808 of 3,942

Family NF.67

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

Family NF.67 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 44.311 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 847), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000282 of each other at a top speed of 596, line up 72 times a period, and the computed loop closes to 1.3×10⁻¹⁵.

Measured over one period

Period: 44.31110070
Masses: 1 : 1 : 1
Energy: -1.83184
Angular momentum: 0
Closest approach: 2.8×10⁻⁶
Top speed: 595.9
Path length: 125.39
Alignments per period: 72
Topology: 0 (free-group class)
Stability: unstable (|λ|max 8470)
Loop closure: 1.3×10⁻¹⁵

Neighbours on the map

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