Atlas3,714 of 3,915

Family NF.121

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

Family NF.121 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 65.341 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 7207), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000758 of each other at a top speed of 115, line up 146 times a period, and the computed loop closes to 9.1×10⁻²³.

Measured over one period

Period: 65.34119757
Masses: 1 : 1 : 1
Energy: -2.17260
Angular momentum: 0
Closest approach: 7.6×10⁻⁵
Top speed: 114.9
Path length: 176.53
Alignments per period: 146
Stability: unstable (|λ|max 7207)
Loop closure: 9.1×10⁻²³

Neighbours on the map

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