Atlas3,738 of 3,915

Family NF.43

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

Family NF.43 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 27.448 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 47785), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00123 of each other at a top speed of 28.5, line up 62 times a period, and the computed loop closes to 3.4×10⁻²⁴.

Measured over one period

Period: 27.44826436
Masses: 1 : 1 : 1
Energy: -2.19390
Angular momentum: 0
Closest approach: 0.001235
Top speed: 28.51
Path length: 75.767
Alignments per period: 62
Stability: unstable (|λ|max 47785)
Loop closure: 3.4×10⁻²⁴

Neighbours on the map

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