Atlas3,821 of 3,915

Family NF.100

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

Family NF.100 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 60.735 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 1097), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000596 of each other at a top speed of 41, line up 94 times a period, and the computed loop closes to 3.1×10⁻²⁵.

Measured over one period

Period: 60.73542967
Masses: 1 : 1 : 1
Energy: -1.77314
Angular momentum: 0
Closest approach: 6.0×10⁻⁴
Top speed: 41.01
Path length: 170.48
Alignments per period: 94
Stability: unstable (|λ|max 1097)
Loop closure: 3.1×10⁻²⁵

Neighbours on the map

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