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II.C.55

m₃ = 2

From Li & Liao (2017)

II.C.55 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 110.24 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000438 of each other at a top speed of 78, line up 298 times a period, and the computed loop closes to 4.3×10⁻²².

Measured over one period

Period: 110.2367826
Masses: 1 : 1 : 2
Energy: -3.95759
Angular momentum: 0
Closest approach: 4.4×10⁻⁶
Top speed: 780.2
Path length: 334.76
Alignments per period: 298
Stability: stable (|λ|max 1.000)
Loop closure: 4.3×10⁻²²

Neighbours on the map

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