Atlas3,792 of 3,942

Family NF.101

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

Family NF.101 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 58.979 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 775.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000151 of each other at a top speed of 81.4, line up 94 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 58.97917244
Masses: 1 : 1 : 1
Energy: -1.80817
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 81.37
Path length: 166.84
Alignments per period: 94
Topology: abaBAbabABabABabaBAbaBAbabABabABAbaBABabABabaBAbaBAbabABabAB (free-group class)
Stability: unstable (|λ|max 775.6)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

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