Atlas3,801 of 3,942

Family NF.15

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

Family NF.15 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 40.164 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 296), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000223 of each other at a top speed of 67, line up 34 times a period, and the computed loop closes to 2.8×10⁻²⁰.

Measured over one period

Period: 40.16391635
Masses: 1 : 1 : 1
Energy: -1.18077
Angular momentum: 0
Closest approach: 2.2×10⁻⁶
Top speed: 669.6
Path length: 83.045
Alignments per period: 34
Topology: 0 (free-group class)
Stability: unstable (|λ|max 2960)
Loop closure: 2.8×10⁻²⁰

Neighbours on the map

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