Atlas3,796 of 3,915

Family NF.120

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

Family NF.120 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.972 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 2076), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000372 of each other at a top speed of 51.9, line up 134 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 69.97213113
Masses: 1 : 1 : 1
Energy: -2.01885
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 51.94
Path length: 206.48
Alignments per period: 134
Stability: unstable (|λ|max 2.1×10⁵)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

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