Atlas3,749 of 3,942

Family NF.40

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

Family NF.40 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 24.648 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 1297), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00115 of each other at a top speed of 29.6, line up 58 times a period, and the computed loop closes to 7.4×10⁻²⁵.

Measured over one period

Period: 24.64844924
Masses: 1 : 1 : 1
Energy: -2.27675
Angular momentum: 0
Closest approach: 0.001148
Top speed: 29.59
Path length: 73.407
Alignments per period: 58
Topology: ababABababABAbabaBABababABAbabaBAB (free-group class)
Stability: unstable (|λ|max 1297)
Loop closure: 7.4×10⁻²⁵

Neighbours on the map

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