Atlas1,970 of 3,915

II.C.235

m₃ = 0.5

From Li & Liao (2017)

II.C.235 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 188.39 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 3.161), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000679 of each other at a top speed of 14, line up 258 times a period, and the computed loop closes to 4.8×10⁻²³.

Measured over one period

Period: 188.3906436
Masses: 1 : 1 : 0.5
Energy: -1.04473
Angular momentum: 0
Closest approach: 6.8×10⁻⁵
Top speed: 140.1
Path length: 458.37
Alignments per period: 258
Stability: weakly unstable (|λ|max 3.161)
Loop closure: 4.8×10⁻²³

Neighbours on the map

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