Atlas3,807 of 3,942

Family NF.102

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

Family NF.102 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 59.48 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 4537), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000017 of each other at a top speed of 766, line up 94 times a period, and the computed loop closes to 3.6×10⁻¹⁶.

Measured over one period

Period: 59.47973678
Masses: 1 : 1 : 1
Energy: -1.79801
Angular momentum: 0
Closest approach: 1.7×10⁻⁶
Top speed: 766.2
Path length: 167.98
Alignments per period: 94
Topology: 0 (free-group class)
Stability: unstable (|λ|max 4537)
Loop closure: 3.6×10⁻¹⁶

Neighbours on the map

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