Atlas1,366 of 3,915

II.B.1

m₃ = 2

From Li, Jing & Liao (2018)

II.B.1 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 11.972 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 221.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00104 of each other at a top speed of 50.7, line up 24 times a period, and the computed loop closes to 1.5×10⁻²⁶.

Measured over one period

Period: 11.97239902
Masses: 1 : 1 : 2
Energy: -3.03518
Angular momentum: 0
Closest approach: 0.001042
Top speed: 50.67
Path length: 38.977
Alignments per period: 24
Stability: unstable (|λ|max 221.7)
Loop closure: 1.5×10⁻²⁶

Neighbours on the map

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