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I.B.23

m₃ = 4

From Li & Liao (2017)

I.B.23 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 132.14 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 0.0000314 of each other at a top speed of 452, line up 404 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 132.1379729
Masses: 1 : 1 : 4
Energy: -6.95530
Angular momentum: 0
Closest approach: 3.1×10⁻⁵
Top speed: 451.7
Path length: 507.80
Alignments per period: 404
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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