Atlas3,804 of 3,915

Family NF.62

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

Family NF.62 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 39.031 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 150.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000981 of each other at a top speed of 32, line up 72 times a period, and the computed loop closes to 7.9×10⁻²⁵.

Measured over one period

Period: 39.03143180
Masses: 1 : 1 : 1
Energy: -1.96852
Angular momentum: 0
Closest approach: 9.8×10⁻⁴
Top speed: 32.01
Path length: 113.40
Alignments per period: 72
Stability: unstable (|λ|max 150.7)
Loop closure: 7.9×10⁻²⁵

Neighbours on the map

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