Atlas3,735 of 3,915

Family NF.88

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

Family NF.88 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 43.241 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 264.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000342 of each other at a top speed of 171, line up 88 times a period, and the computed loop closes to 3.0×10⁻²³.

Measured over one period

Period: 43.24138527
Masses: 1 : 1 : 1
Energy: -2.07153
Angular momentum: 0
Closest approach: 3.4×10⁻⁵
Top speed: 171.0
Path length: 123.84
Alignments per period: 88
Stability: unstable (|λ|max 264.5)
Loop closure: 3.0×10⁻²³

Neighbours on the map

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