Atlas3,723 of 3,942

Family NF.49

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

Family NF.49 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 57.644 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 3369), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000042 of each other at a top speed of 155, line up 68 times a period, and the computed loop closes to 4.5×10⁻²².

Measured over one period

Period: 57.64421181
Masses: 1 : 1 : 1
Energy: -1.43433
Angular momentum: 0
Closest approach: 4.2×10⁻⁵
Top speed: 154.5
Path length: 134.30
Alignments per period: 68
Topology: aabaBABAbabABAbabaBAbabaBABabaBABAbabbAB (free-group class)
Stability: unstable (|λ|max 3369)
Loop closure: 4.5×10⁻²²

Neighbours on the map

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