Atlas3,746 of 3,942

Family NF.48

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

Family NF.48 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 25.772 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 43083), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0168 of each other at a top speed of 7.84, line up 66 times a period, and the computed loop closes to 2.4×10⁻²⁵.

Measured over one period

Period: 25.77196712
Masses: 1 : 1 : 1
Energy: -2.38081
Angular momentum: 0
Closest approach: 0.01676
Top speed: 7.840
Path length: 77.454
Alignments per period: 66
Topology: aabABAbabaBABabbaBAABababABABababABBAb (free-group class)
Stability: unstable (|λ|max 43083)
Loop closure: 2.4×10⁻²⁵

Neighbours on the map

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