Atlas3,791 of 3,942

Family NF.70

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

Family NF.70 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 58.005 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 4011), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0244 of each other at a top speed of 6.48, line up 72 times a period, and the computed loop closes to 1.4×10⁻²⁶.

Measured over one period

Period: 58.00546648
Masses: 1 : 1 : 1
Energy: -1.53755
Angular momentum: 0
Closest approach: 0.02443
Top speed: 6.479
Path length: 158.54
Alignments per period: 72
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 4011)
Loop closure: 1.4×10⁻²⁶

Neighbours on the map

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