Atlas3,788 of 3,942

Family NF.119

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

Family NF.119 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.319 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 72476), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00162 of each other at a top speed of 24.9, line up 140 times a period, and the computed loop closes to 8.3×10⁻²⁵.

Measured over one period

Period: 53.31948858
Masses: 1 : 1 : 1
Energy: -2.40575
Angular momentum: 0
Closest approach: 0.001621
Top speed: 24.86
Path length: 148.52
Alignments per period: 140
Topology: aabABABababABABababABABababABABababABABababABABababABABababABABabbaBAABababABBAb (free-group class)
Stability: unstable (|λ|max 7.2×10⁵)
Loop closure: 8.3×10⁻²⁵

Neighbours on the map

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