Atlas3,715 of 3,942

Family NF.83

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

Family NF.83 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 36.285 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 850.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000398 of each other at a top speed of 158, line up 84 times a period, and the computed loop closes to 2.3×10⁻²³.

Measured over one period

Period: 36.28483828
Masses: 1 : 1 : 1
Energy: -2.21105
Angular momentum: 0
Closest approach: 4.0×10⁻⁵
Top speed: 158.4
Path length: 101.06
Alignments per period: 84
Topology: aabaBABAbabaBABababABABababABAbabaBABAbabbaBABAb (free-group class)
Stability: unstable (|λ|max 850.5)
Loop closure: 2.3×10⁻²³

Neighbours on the map

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