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Family NF.44

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

Family NF.44 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 51.846 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 11828), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00151 of each other at a top speed of 25.9, line up 62 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 51.84614318
Masses: 1 : 1 : 1
Energy: -1.43683
Angular momentum: 0
Closest approach: 0.001509
Top speed: 25.87
Path length: 116.37
Alignments per period: 62
Topology: aabaBABAbabABABabaBABAbabbaBaBabAbAb (free-group class)
Stability: unstable (|λ|max 11828)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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