Atlas3,813 of 3,942

Family NF.103

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

Family NF.103 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.099 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 9524), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000322 of each other at a top speed of 55.8, line up 94 times a period, and the computed loop closes to 1.0×10⁻²⁴.

Measured over one period

Period: 61.09900115
Masses: 1 : 1 : 1
Energy: -1.76611
Angular momentum: 0
Closest approach: 3.2×10⁻⁴
Top speed: 55.81
Path length: 171.42
Alignments per period: 94
Topology: abaBAbabABabABAbaBAbaBAbabABabABAbaBABabABabaBAbaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 9524)
Loop closure: 1.0×10⁻²⁴

Neighbours on the map

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