Atlas3,712 of 3,915

Family NF.28

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

Family NF.28 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.198 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 1548), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000108 of each other at a top speed of 304, line up 48 times a period, and the computed loop closes to 5.0×10⁻²¹.

Measured over one period

Period: 53.19815148
Masses: 1 : 1 : 1
Energy: -1.19380
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 303.6
Path length: 110.73
Alignments per period: 48
Stability: unstable (|λ|max 1548)
Loop closure: 5.0×10⁻²¹

Neighbours on the map

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