Atlas3,794 of 3,942

Family NF.94

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

Family NF.94 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.037 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 234.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000129 of each other at a top speed of 278, line up 92 times a period, and the computed loop closes to 5.6×10⁻²².

Measured over one period

Period: 53.03670680
Masses: 1 : 1 : 1
Energy: -1.88607
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 278.1
Path length: 150.48
Alignments per period: 92
Topology: 0 (free-group class)
Stability: unstable (|λ|max 234.4)
Loop closure: 5.6×10⁻²²

Neighbours on the map

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