Atlas3,733 of 3,942

Family NF.60

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

Family NF.60 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.573 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 86633), so a small nudge makes it unravel over a few periods. The bodies pass within 0.002 of each other at a top speed of 22.5, line up 72 times a period, and the computed loop closes to 4.1×10⁻²⁵.

Measured over one period

Period: 61.57325885
Masses: 1 : 1 : 1
Energy: -1.42174
Angular momentum: 0
Closest approach: 0.001996
Top speed: 22.47
Path length: 145.03
Alignments per period: 72
Topology: aabABAbabABABabABABabaBABabbaBAABababABBAb (free-group class)
Stability: unstable (|λ|max 86633)
Loop closure: 4.1×10⁻²⁵

Neighbours on the map

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