Atlas3,722 of 3,942

Family NF.118

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

Family NF.118 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.435 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 weakly unstable (largest Floquet multiplier 1.669), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000000499 of each other at a top speed of 1416, line up 132 times a period, and the computed loop closes to 6.3×10⁻²⁰.

Measured over one period

Period: 69.43461220
Masses: 1 : 1 : 1
Energy: -1.97925
Angular momentum: 0
Closest approach: 5.0×10⁻⁷
Top speed: 1416
Path length: 194.97
Alignments per period: 132
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.669)
Loop closure: 6.3×10⁻²⁰

Neighbours on the map

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