Atlas2,211 of 3,942

II.C.208

m₃ = 0.5

From Li & Liao (2017)

II.C.208 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 190.11 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 2.454), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000104 of each other at a top speed of 358, line up 246 times a period, and the computed loop closes to 4.6×10⁻²².

Measured over one period

Period: 190.1061000
Masses: 1 : 1 : 0.5
Energy: -0.978497
Angular momentum: 0
Closest approach: 1.0×10⁻⁵
Top speed: 358.0
Path length: 416.80
Alignments per period: 246
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 2.454)
Loop closure: 4.6×10⁻²²

Neighbours on the map

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