Atlas3,774 of 3,942

Family NF.116

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

Family NF.116 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 66.834 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 558.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000124 of each other at a top speed of 90, line up 124 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 66.83400859
Masses: 1 : 1 : 1
Energy: -1.97691
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 90.02
Path length: 196.27
Alignments per period: 124
Topology: ababABabaBABabABAbaBABabABAbabaBABabABAbaBABabABAbabABababABAbaBABabABAbaBAB (free-group class)
Stability: unstable (|λ|max 558.1)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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