Atlas1,794 of 3,915

II.C.194

m₃ = 0.5

From Li & Liao (2017)

II.C.194 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 119.29 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 50.05), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000116 of each other at a top speed of 339, line up 234 times a period, and the computed loop closes to 2.0×10⁻²¹.

Measured over one period

Period: 119.2943657
Masses: 1 : 1 : 0.5
Energy: -1.30095
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 338.6
Path length: 307.43
Alignments per period: 234
Stability: unstable (|λ|max 50.05)
Loop closure: 2.0×10⁻²¹

Neighbours on the map

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