Atlas3,798 of 3,915

Family NF.95

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

Family NF.95 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 47.062 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 917), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00853 of each other at a top speed of 10.9, line up 92 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 47.06248925
Masses: 1 : 1 : 1
Energy: -2.04255
Angular momentum: 0
Closest approach: 0.008531
Top speed: 10.91
Path length: 139.05
Alignments per period: 92
Stability: unstable (|λ|max 917.0)
Loop closure: 3.0×10⁻²⁵

Neighbours on the map

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