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II.C.46

m₃ = 2

From Li & Liao (2017)

II.C.46 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 122.4 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 3.442), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000159 of each other at a top speed of 1293, line up 256 times a period, and the computed loop closes to 4.1×10⁻²⁰.

Measured over one period

Period: 122.4016509
Masses: 1 : 1 : 2
Energy: -3.36882
Angular momentum: 0
Closest approach: 1.6×10⁻⁶
Top speed: 1293
Path length: 390.24
Alignments per period: 256
Stability: weakly unstable (|λ|max 3.442)
Loop closure: 4.1×10⁻²⁰

Neighbours on the map

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