Atlas2,131 of 3,915

II.C.201

m₃ = 0.5

From Li & Liao (2017)

II.C.201 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 184.96 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 1.282), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000752 of each other at a top speed of 421, line up 244 times a period, and the computed loop closes to 3.5×10⁻²¹.

Measured over one period

Period: 184.9613703
Masses: 1 : 1 : 0.5
Energy: -0.980486
Angular momentum: 0
Closest approach: 7.5×10⁻⁶
Top speed: 421.0
Path length: 393.20
Alignments per period: 244
Stability: weakly unstable (|λ|max 1.282)
Loop closure: 3.5×10⁻²¹

Neighbours on the map

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