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II.C.43

m₃ = 2

From Li & Liao (2017)

II.C.43 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 139.12 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.517), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000456 of each other at a top speed of 242, line up 246 times a period, and the computed loop closes to 9.2×10⁻²⁴.

Measured over one period

Period: 139.1173196
Masses: 1 : 1 : 2
Energy: -3.00660
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 241.7
Path length: 412.86
Alignments per period: 246
Stability: weakly unstable (|λ|max 1.517)
Loop closure: 9.2×10⁻²⁴

Neighbours on the map

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