Atlas3,789 of 3,942

Family NF.3

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

Family NF.3 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 80.025 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 585.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.275 of each other at a top speed of 2.2, line up 16 times a period, and the computed loop closes to 1.4×10⁻²⁷.

Measured over one period

Period: 80.02530251
Masses: 1 : 1 : 1
Energy: -0.426951
Angular momentum: 0
Closest approach: 0.2749
Top speed: 2.196
Path length: 110.85
Alignments per period: 16
Topology: aaaBAbbbAB (free-group class)
Stability: unstable (|λ|max 585.5)
Loop closure: 1.4×10⁻²⁷

Neighbours on the map

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