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II.C.27

m₃ = 2

From Li & Liao (2017)

II.C.27 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 89.119 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 1.365), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000022 of each other at a top speed of 348, line up 162 times a period, and the computed loop closes to 5.4×10⁻²¹.

Measured over one period

Period: 89.11948929
Masses: 1 : 1 : 2
Energy: -3.05825
Angular momentum: 0
Closest approach: 2.2×10⁻⁵
Top speed: 348.2
Path length: 263.45
Alignments per period: 162
Stability: weakly unstable (|λ|max 1.365)
Loop closure: 5.4×10⁻²¹

Neighbours on the map

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