Atlas3,719 of 3,942

Family NF.65

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

Family NF.65 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 33.896 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 13494), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000318 of each other at a top speed of 177, line up 76 times a period, and the computed loop closes to 4.0×10⁻²².

Measured over one period

Period: 33.89611718
Masses: 1 : 1 : 1
Energy: -2.18295
Angular momentum: 0
Closest approach: 3.2×10⁻⁵
Top speed: 177.4
Path length: 93.281
Alignments per period: 76
Topology: ababABababABABabaBABAbabaBABAbabABAB (free-group class)
Stability: unstable (|λ|max 13494)
Loop closure: 4.0×10⁻²²

Neighbours on the map

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