Atlas1,698 of 3,915

II.C.26

m₃ = 0.5

From Li & Liao (2017)

II.C.26 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 21.546 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 418.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00292 of each other at a top speed of 21.4, line up 46 times a period, and the computed loop closes to 1.1×10⁻²⁶.

Measured over one period

Period: 21.54621729
Masses: 1 : 1 : 0.5
Energy: -1.41190
Angular momentum: 0
Closest approach: 0.002919
Top speed: 21.39
Path length: 60.363
Alignments per period: 46
Stability: unstable (|λ|max 418.7)
Loop closure: 1.1×10⁻²⁶

Neighbours on the map

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