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II.C.2

m₃ = 5

From Li & Liao (2017)

II.C.2 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 70.293 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 0.0000145 of each other at a top speed of 757, line up 252 times a period, and the computed loop closes to 1.9×10⁻¹⁶.

Measured over one period

Period: 70.29273032
Masses: 1 : 1 : 5
Energy: -9.01766
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 757.2
Path length: 301.49
Alignments per period: 252
Stability: stable (|λ|max 1.000)
Loop closure: 1.9×10⁻¹⁶

Neighbours on the map

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