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I.B.12

m₃ = 0.5

From Li & Liao (2017)

I.B.12 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 34.277 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 10.87), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0108 of each other at a top speed of 11, line up 32 times a period, and the computed loop closes to 2.9×10⁻²⁵.

Measured over one period

Period: 34.27718946
Masses: 1 : 1 : 0.5
Energy: -0.809494
Angular momentum: 0
Closest approach: 0.01077
Top speed: 11.02
Path length: 69.512
Alignments per period: 32
Stability: unstable (|λ|max 10.87)
Loop closure: 2.9×10⁻²⁵

Neighbours on the map

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