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I.B.8

m₃ = 5

From Li & Liao (2017)

I.B.8 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 142.81 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000043 of each other at a top speed of 44, line up 500 times a period, and the computed loop closes to 4.8×10⁻²³.

Measured over one period

Period: 142.8066562
Masses: 1 : 1 : 5
Energy: -8.87811
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 440.3
Path length: 611.68
Alignments per period: 500
Stability: stable (|λ|max 1.000)
Loop closure: 4.8×10⁻²³

Neighbours on the map

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