Atlas2,140 of 3,915

II.C.158

m₃ = 0.5

From Li & Liao (2017)

II.C.158 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 119.55 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 45.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000459 of each other at a top speed of 53.9, line up 198 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 119.5507825
Masses: 1 : 1 : 0.5
Energy: -1.16216
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 53.90
Path length: 292.57
Alignments per period: 198
Stability: unstable (|λ|max 45.60)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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