Atlas2,188 of 3,915

II.C.228

m₃ = 0.5

From Li & Liao (2017)

II.C.228 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 184.29 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 1.199), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000997 of each other at a top speed of 116, line up 266 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 184.2949392
Masses: 1 : 1 : 0.5
Energy: -1.04781
Angular momentum: 0
Closest approach: 10.0×10⁻⁵
Top speed: 115.7
Path length: 418.68
Alignments per period: 266
Stability: weakly unstable (|λ|max 1.199)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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