Atlas3,747 of 3,942

Family NF.47

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

Family NF.47 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 27.121 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 6217), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000614 of each other at a top speed of 40.5, line up 66 times a period, and the computed loop closes to 7.0×10⁻²⁵.

Measured over one period

Period: 27.12064161
Masses: 1 : 1 : 1
Energy: -2.29913
Angular momentum: 0
Closest approach: 6.1×10⁻⁴
Top speed: 40.46
Path length: 80.130
Alignments per period: 66
Topology: aabABAbabaBABabbaBAABabbaBABAbaabABBAb (free-group class)
Stability: unstable (|λ|max 6217)
Loop closure: 7.0×10⁻²⁵

Neighbours on the map

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