Atlas2,198 of 3,915

II.C.93

m₃ = 0.5

From Li & Liao (2017)

II.C.93 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 100.66 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 51.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000294 of each other at a top speed of 67.3, line up 134 times a period, and the computed loop closes to 8.3×10⁻²⁵.

Measured over one period

Period: 100.6645902
Masses: 1 : 1 : 0.5
Energy: -1.00918
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 67.31
Path length: 233.11
Alignments per period: 134
Stability: unstable (|λ|max 51.40)
Loop closure: 8.3×10⁻²⁵

Neighbours on the map

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