Atlas1,790 of 3,915

II.C.118

m₃ = 0.5

From Li & Liao (2017)

II.C.118 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 71.805 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 30.68), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000362 of each other at a top speed of 60.6, line up 156 times a period, and the computed loop closes to 3.3×10⁻²⁵.

Measured over one period

Period: 71.80469966
Masses: 1 : 1 : 0.5
Energy: -1.39363
Angular momentum: 0
Closest approach: 3.6×10⁻⁴
Top speed: 60.63
Path length: 186.58
Alignments per period: 156
Stability: unstable (|λ|max 30.68)
Loop closure: 3.3×10⁻²⁵

Neighbours on the map

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