Atlas3,816 of 3,915

Family NF.117

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

Family NF.117 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 65.353 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 19165), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000573 of each other at a top speed of 132, line up 124 times a period, and the computed loop closes to 4.0×10⁻²².

Measured over one period

Period: 65.35324166
Masses: 1 : 1 : 1
Energy: -2.00713
Angular momentum: 0
Closest approach: 5.7×10⁻⁵
Top speed: 132.1
Path length: 192.27
Alignments per period: 124
Stability: unstable (|λ|max 19165)
Loop closure: 4.0×10⁻²²

Neighbours on the map

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