Atlas3,739 of 3,942

Family NF.29

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

Family NF.29 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 22.506 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 4424), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000804 of each other at a top speed of 112, line up 52 times a period, and the computed loop closes to 3.8×10⁻²³.

Measured over one period

Period: 22.50585885
Masses: 1 : 1 : 1
Energy: -2.20474
Angular momentum: 0
Closest approach: 8.0×10⁻⁵
Top speed: 111.6
Path length: 62.593
Alignments per period: 52
Topology: aaabaBABAbabABABabaBABAbabbbAB (free-group class)
Stability: unstable (|λ|max 4424)
Loop closure: 3.8×10⁻²³

Neighbours on the map

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