Atlas3,827 of 3,915

Family NF.87

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

Family NF.87 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 47.046 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 5222), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00473 of each other at a top speed of 14.6, line up 86 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 47.04577257
Masses: 1 : 1 : 1
Energy: -1.94816
Angular momentum: 0
Closest approach: 0.004730
Top speed: 14.61
Path length: 135.45
Alignments per period: 86
Stability: unstable (|λ|max 5222)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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