Atlas3,743 of 3,942

Family NF.55

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

Family NF.55 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 29.811 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 2429), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000529 of each other at a top speed of 43.5, line up 70 times a period, and the computed loop closes to 6.3×10⁻²⁵.

Measured over one period

Period: 29.81081342
Masses: 1 : 1 : 1
Energy: -2.23032
Angular momentum: 0
Closest approach: 5.3×10⁻⁴
Top speed: 43.50
Path length: 85.205
Alignments per period: 70
Topology: aabaBABAbabABABabaBABAbabbaBAABababABBAb (free-group class)
Stability: unstable (|λ|max 2429)
Loop closure: 6.3×10⁻²⁵

Neighbours on the map

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