Atlas3,775 of 3,942

Family NF.85

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

Family NF.85 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 40.1 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 11421), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000149 of each other at a top speed of 82, line up 82 times a period, and the computed loop closes to 9.1×10⁻²⁴.

Measured over one period

Period: 40.10011326
Masses: 1 : 1 : 1
Energy: -2.10825
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 82.01
Path length: 118.30
Alignments per period: 82
Topology: aabABAbaBABabABAbabABAbaBABabaBABabABAbaBABabbABAB (free-group class)
Stability: unstable (|λ|max 1.1×10⁵)
Loop closure: 9.1×10⁻²⁴

Neighbours on the map

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