Atlas2,217 of 3,915

II.C.163

m₃ = 0.5

From Li & Liao (2017)

II.C.163 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 161.52 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 586.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000158 of each other at a top speed of 92, line up 200 times a period, and the computed loop closes to 1.9×10⁻²³.

Measured over one period

Period: 161.5242818
Masses: 1 : 1 : 0.5
Energy: -0.960337
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 92.00
Path length: 360.26
Alignments per period: 200
Stability: unstable (|λ|max 586.8)
Loop closure: 1.9×10⁻²³

Neighbours on the map

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