Atlas3,720 of 3,942

Family NF.57

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

Family NF.57 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 27.044 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 1993), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00497 of each other at a top speed of 14.2, line up 70 times a period, and the computed loop closes to 2.7×10⁻²⁵.

Measured over one period

Period: 27.04409591
Masses: 1 : 1 : 1
Energy: -2.38002
Angular momentum: 0
Closest approach: 0.004966
Top speed: 14.22
Path length: 77.500
Alignments per period: 70
Topology: aabaBABAbabABABabaBABAbabbaBABAbabaBABAb (free-group class)
Stability: unstable (|λ|max 1993)
Loop closure: 2.7×10⁻²⁵

Neighbours on the map

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