Atlas3,745 of 3,942

Family NF.53

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

Family NF.53 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 27.017 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 11852), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0149 of each other at a top speed of 8.24, line up 70 times a period, and the computed loop closes to 4.7×10⁻²⁵.

Measured over one period

Period: 27.01705049
Masses: 1 : 1 : 1
Energy: -2.38104
Angular momentum: 0
Closest approach: 0.01495
Top speed: 8.238
Path length: 78.083
Alignments per period: 70
Topology: aabABABababABABabbaBAABabbaBABAbaabABBAb (free-group class)
Stability: unstable (|λ|max 1.2×10⁵)
Loop closure: 4.7×10⁻²⁵

Neighbours on the map

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