Atlas3,797 of 3,915

Family NF.115

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

Family NF.115 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 60.876 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 263.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0119 of each other at a top speed of 9.33, line up 120 times a period, and the computed loop closes to 1.6×10⁻²⁵.

Measured over one period

Period: 60.87605941
Masses: 1 : 1 : 1
Energy: -2.06330
Angular momentum: 0
Closest approach: 0.01188
Top speed: 9.326
Path length: 183.60
Alignments per period: 120
Stability: unstable (|λ|max 263.6)
Loop closure: 1.6×10⁻²⁵

Neighbours on the map

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