Atlas3,823 of 3,915

Family NF.72

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

Family NF.72 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 56.569 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 24516), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000221 of each other at a top speed of 67.4, line up 74 times a period, and the computed loop closes to 5.5×10⁻²⁴.

Measured over one period

Period: 56.56867005
Masses: 1 : 1 : 1
Energy: -1.58937
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 67.37
Path length: 152.10
Alignments per period: 74
Stability: unstable (|λ|max 24516)
Loop closure: 5.5×10⁻²⁴

Neighbours on the map

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