Atlas1,725 of 3,915

II.C.234

m₃ = 0.5

From Li & Liao (2017)

II.C.234 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 139.4 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 7.238), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000291 of each other at a top speed of 214, line up 262 times a period, and the computed loop closes to 1.8×10⁻²².

Measured over one period

Period: 139.3969960
Masses: 1 : 1 : 0.5
Energy: -1.27908
Angular momentum: 0
Closest approach: 2.9×10⁻⁵
Top speed: 214.1
Path length: 359.29
Alignments per period: 262
Stability: weakly unstable (|λ|max 7.238)
Loop closure: 1.8×10⁻²²

Neighbours on the map

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