Atlas2,105 of 3,915

II.C.230

m₃ = 0.5

From Li & Liao (2017)

II.C.230 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 173.58 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 43.44), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000169 of each other at a top speed of 88.8, line up 260 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 173.5769229
Masses: 1 : 1 : 0.5
Energy: -1.09681
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 88.78
Path length: 425.56
Alignments per period: 260
Stability: unstable (|λ|max 43.44)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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