Atlas3,724 of 3,915

Family NF.33

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

Family NF.33 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 63.143 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 3706), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000248 of each other at a top speed of 63.5, line up 54 times a period, and the computed loop closes to 6.4×10⁻²⁴.

Measured over one period

Period: 63.14315530
Masses: 1 : 1 : 1
Energy: -1.16047
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 63.55
Path length: 133.90
Alignments per period: 54
Stability: unstable (|λ|max 3706)
Loop closure: 6.4×10⁻²⁴

Neighbours on the map

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