Atlas3,773 of 3,942

Family NF.104

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

Family NF.104 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 51.675 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 1752), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000268 of each other at a top speed of 61.1, line up 98 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 51.67500775
Masses: 1 : 1 : 1
Energy: -2.00608
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 61.12
Path length: 152.11
Alignments per period: 98
Topology: ababABababABabaBABabABabaBABabABAbabaBABabABAbabABabABAbabAB (free-group class)
Stability: unstable (|λ|max 1752)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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