Atlas3,760 of 3,915

Family NF.80

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

Family NF.80 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 33.814 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 5432), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00935 of each other at a top speed of 10.4, line up 84 times a period, and the computed loop closes to 9.8×10⁻²⁵.

Measured over one period

Period: 33.81434920
Masses: 1 : 1 : 1
Energy: -2.31474
Angular momentum: 0
Closest approach: 0.009350
Top speed: 10.38
Path length: 94.199
Alignments per period: 84
Stability: unstable (|λ|max 54320)
Loop closure: 9.8×10⁻²⁵

Neighbours on the map

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