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I.B.8

m₃ = 0.5

From Li & Liao (2017)

I.B.8 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 42.278 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 1616), so a small nudge makes it unravel over a few periods. The bodies pass within 0.268 of each other at a top speed of 1.87, line up 20 times a period, and the computed loop closes to 7.2×10⁻²⁹.

Measured over one period

Period: 42.27785674
Masses: 1 : 1 : 0.5
Energy: -0.589141
Angular momentum: 0
Closest approach: 0.2675
Top speed: 1.871
Path length: 71.788
Alignments per period: 20
Stability: unstable (|λ|max 1616)
Loop closure: 7.2×10⁻²⁹

Neighbours on the map

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