Atlas1,345 of 3,915

II.B.7

m₃ = 2

From Li, Jing & Liao (2018)

II.B.7 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 113.32 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 37.65), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000685 of each other at a top speed of 197, line up 316 times a period, and the computed loop closes to 3.1×10⁻²³.

Measured over one period

Period: 113.3177649
Masses: 1 : 1 : 2
Energy: -4.04618
Angular momentum: 0
Closest approach: 6.8×10⁻⁵
Top speed: 197.4
Path length: 357.33
Alignments per period: 316
Stability: unstable (|λ|max 37.65)
Loop closure: 3.1×10⁻²³

Neighbours on the map

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