Atlas3,737 of 3,942

Family NF.122

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

Family NF.122 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.372 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 11963), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000464 of each other at a top speed of 147, line up 146 times a period, and the computed loop closes to 6.0×10⁻²².

Measured over one period

Period: 61.37233885
Masses: 1 : 1 : 1
Energy: -2.26754
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 146.8
Path length: 181.17
Alignments per period: 146
Topology: 0 (free-group class)
Stability: unstable (|λ|max 11963)
Loop closure: 6.0×10⁻²²

Neighbours on the map

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