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II.C.29

m₃ = 2

From Li & Liao (2017)

II.C.29 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 104.59 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 0.000159 of each other at a top speed of 13, line up 172 times a period, and the computed loop closes to 6.1×10⁻²⁴.

Measured over one period

Period: 104.5878737
Masses: 1 : 1 : 2
Energy: -2.86904
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 129.7
Path length: 306.89
Alignments per period: 172
Stability: stable (|λ|max 1.000)
Loop closure: 6.1×10⁻²⁴

Neighbours on the map

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