Atlas3,718 of 3,942

Family NF.36

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

Family NF.36 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 20.588 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 4531), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00444 of each other at a top speed of 15.1, line up 56 times a period, and the computed loop closes to 5.0×10⁻²⁷.

Measured over one period

Period: 20.58829098
Masses: 1 : 1 : 1
Energy: -2.45918
Angular momentum: 0
Closest approach: 0.004444
Top speed: 15.12
Path length: 60.870
Alignments per period: 56
Topology: aabaBABAbabABABabaBABAbabbaBABAb (free-group class)
Stability: unstable (|λ|max 4531)
Loop closure: 5.0×10⁻²⁷

Neighbours on the map

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