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Family NF.5

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

Family NF.5 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 12.142 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 14128), so a small nudge makes it unravel over a few periods. The bodies pass within 0.155 of each other at a top speed of 3.02, line up 20 times a period, and the computed loop closes to 7.1×10⁻²⁸.

Measured over one period

Period: 12.14223348
Masses: 1 : 1 : 1
Energy: -1.84512
Angular momentum: 0
Closest approach: 0.1549
Top speed: 3.018
Path length: 35.260
Alignments per period: 20
Stability: unstable (|λ|max 14128)
Loop closure: 7.1×10⁻²⁸

Neighbours on the map

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