Atlas1,890 of 3,915

II.C.155

m₃ = 0.5

From Li & Liao (2017)

II.C.155 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 166.69 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 6.507), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000997 of each other at a top speed of 36.5, line up 190 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 166.6893562
Masses: 1 : 1 : 0.5
Energy: -0.928069
Angular momentum: 0
Closest approach: 10.0×10⁻⁴
Top speed: 36.55
Path length: 384.25
Alignments per period: 190
Stability: weakly unstable (|λ|max 6.507)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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