Atlas3,811 of 3,915

Family NF.86

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

Family NF.86 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.838 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 2743), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000177 of each other at a top speed of 75.3, line up 82 times a period, and the computed loop closes to 8.4×10⁻²⁴.

Measured over one period

Period: 69.83772325
Masses: 1 : 1 : 1
Energy: -1.47235
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 75.26
Path length: 181.96
Alignments per period: 82
Stability: unstable (|λ|max 2743)
Loop closure: 8.4×10⁻²⁴

Neighbours on the map

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