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Family NF.71

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

Family NF.71 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 48.815 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 376), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000659 of each other at a top speed of 123, line up 74 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 48.81477343
Masses: 1 : 1 : 1
Energy: -1.75314
Angular momentum: 0
Closest approach: 6.6×10⁻⁵
Top speed: 123.2
Path length: 137.46
Alignments per period: 74
Topology: abaBAbabABabABabaBAbaBAbaBAbaBAbaBAbaBAbabABabAB (free-group class)
Stability: unstable (|λ|max 376.0)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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