Atlas3,757 of 3,942

Family NF.25

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

Family NF.25 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 20.146 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 52052), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0139 of each other at a top speed of 8.43, line up 46 times a period, and the computed loop closes to 5.2×10⁻²⁷.

Measured over one period

Period: 20.14649838
Masses: 1 : 1 : 1
Energy: -2.27064
Angular momentum: 0
Closest approach: 0.01392
Top speed: 8.431
Path length: 62.931
Alignments per period: 46
Topology: ababABAbabABabaBAbabABabaBAB (free-group class)
Stability: unstable (|λ|max 52052)
Loop closure: 5.2×10⁻²⁷

Neighbours on the map

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