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II.C.51

m₃ = 2

From Li & Liao (2017)

II.C.51 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 141.12 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 1.007), so a small nudge only makes it wobble. The bodies pass within 0.0000034 of each other at a top speed of 886, line up 286 times a period, and the computed loop closes to 1.5×10⁻¹⁷.

Measured over one period

Period: 141.1189792
Masses: 1 : 1 : 2
Energy: -3.27204
Angular momentum: 0
Closest approach: 3.4×10⁻⁶
Top speed: 885.9
Path length: 404.93
Alignments per period: 286
Stability: stable (|λ|max 1.007)
Loop closure: 1.5×10⁻¹⁷

Neighbours on the map

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