Atlas3,809 of 3,915

Family NF.66

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

Family NF.66 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 68.764 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 667), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00716 of each other at a top speed of 11.8, line up 72 times a period, and the computed loop closes to 2.3×10⁻²⁵.

Measured over one period

Period: 68.76367768
Masses: 1 : 1 : 1
Energy: -1.36624
Angular momentum: 0
Closest approach: 0.007156
Top speed: 11.83
Path length: 174.93
Alignments per period: 72
Stability: unstable (|λ|max 667.0)
Loop closure: 2.3×10⁻²⁵

Neighbours on the map

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