Atlas3,817 of 3,942

Family NF.96

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

Family NF.96 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 44.691 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 2012), 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 9.36, line up 92 times a period, and the computed loop closes to 1.5×10⁻²⁵.

Measured over one period

Period: 44.69085821
Masses: 1 : 1 : 1
Energy: -2.11420
Angular momentum: 0
Closest approach: 0.01186
Top speed: 9.361
Path length: 134.60
Alignments per period: 92
Topology: ababABAbaBABababABAbaBABabABAbaBABababABAbaBABabABAbaBAB (free-group class)
Stability: unstable (|λ|max 2012)
Loop closure: 1.5×10⁻²⁵

Neighbours on the map

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