Atlas1,721 of 3,915

II.C.159

m₃ = 0.5

From Li & Liao (2017)

II.C.159 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 96.998 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 6.687), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000854 of each other at a top speed of 125, line up 198 times a period, and the computed loop closes to 5.9×10⁻²³.

Measured over one period

Period: 96.99842598
Masses: 1 : 1 : 0.5
Energy: -1.33611
Angular momentum: 0
Closest approach: 8.5×10⁻⁵
Top speed: 124.9
Path length: 254.01
Alignments per period: 198
Stability: weakly unstable (|λ|max 6.687)
Loop closure: 5.9×10⁻²³

Neighbours on the map

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