Atlas3,721 of 3,942

Family NF.113

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

Family NF.113 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 52.939 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 1308), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000346 of each other at a top speed of 538, line up 118 times a period, and the computed loop closes to 1.5×10⁻²⁰.

Measured over one period

Period: 52.93875528
Masses: 1 : 1 : 1
Energy: -2.17121
Angular momentum: 0
Closest approach: 3.5×10⁻⁶
Top speed: 537.7
Path length: 144.23
Alignments per period: 118
Topology: 0 (free-group class)
Stability: unstable (|λ|max 1308)
Loop closure: 1.5×10⁻²⁰

Neighbours on the map

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