Atlas3,742 of 3,915

Family NF.123

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

Family NF.123 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.632 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 4308), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000224 of each other at a top speed of 211, line up 146 times a period, and the computed loop closes to 1.5×10⁻²².

Measured over one period

Period: 61.63217893
Masses: 1 : 1 : 1
Energy: -2.26117
Angular momentum: 0
Closest approach: 2.2×10⁻⁵
Top speed: 211.2
Path length: 181.80
Alignments per period: 146
Stability: unstable (|λ|max 4308)
Loop closure: 1.5×10⁻²²

Neighbours on the map

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