Atlas3,783 of 3,942

Family NF.111

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

Family NF.111 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 48.979 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 14898), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000288 of each other at a top speed of 589, line up 106 times a period, and the computed loop closes to 2.0×10⁻²⁰.

Measured over one period

Period: 48.97867827
Masses: 1 : 1 : 1
Energy: -2.20232
Angular momentum: 0
Closest approach: 2.9×10⁻⁶
Top speed: 588.9
Path length: 153.69
Alignments per period: 106
Topology: 0 (free-group class)
Stability: unstable (|λ|max 14898)
Loop closure: 2.0×10⁻²⁰

Neighbours on the map

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