Atlas2,106 of 3,915

II.C.171

m₃ = 0.5

From Li & Liao (2017)

II.C.171 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 137.5 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 7.973), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000204 of each other at a top speed of 80.8, line up 204 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 137.4958776
Masses: 1 : 1 : 0.5
Energy: -1.08944
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 80.82
Path length: 335.83
Alignments per period: 204
Stability: weakly unstable (|λ|max 7.973)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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