Atlas3,777 of 3,915

Family NF.8

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

Family NF.8 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 42.371 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 2631), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0559 of each other at a top speed of 4.49, line up 22 times a period, and the computed loop closes to 2.4×10⁻²⁷.

Measured over one period

Period: 42.37088856
Masses: 1 : 1 : 1
Energy: -0.847683
Angular momentum: 0
Closest approach: 0.05590
Top speed: 4.493
Path length: 75.118
Alignments per period: 22
Stability: unstable (|λ|max 2631)
Loop closure: 2.4×10⁻²⁷

Neighbours on the map

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