Atlas1,377 of 3,915

II.B.3

m₃ = 2

From Li, Jing & Liao (2018)

II.B.3 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 53.714 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 627.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00111 of each other at a top speed of 49, line up 60 times a period, and the computed loop closes to 8.4×10⁻²⁵.

Measured over one period

Period: 53.71378414
Masses: 1 : 1 : 2
Energy: -2.24117
Angular momentum: 0
Closest approach: 0.001111
Top speed: 48.98
Path length: 146.75
Alignments per period: 60
Stability: unstable (|λ|max 627.1)
Loop closure: 8.4×10⁻²⁵

Neighbours on the map

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