Atlas2,099 of 3,915

II.C.211

m₃ = 0.5

From Li & Liao (2017)

II.C.211 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 165.23 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 26.43), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000104 of each other at a top speed of 113, line up 240 times a period, and the computed loop closes to 3.6×10⁻²⁴.

Measured over one period

Period: 165.2338309
Masses: 1 : 1 : 0.5
Energy: -1.08051
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 113.4
Path length: 405.59
Alignments per period: 240
Stability: unstable (|λ|max 26.43)
Loop closure: 3.6×10⁻²⁴

Neighbours on the map

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