Atlas2,210 of 3,942

II.C.184

m₃ = 0.5

From Li & Liao (2017)

II.C.184 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 180.49 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 1.073), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000427 of each other at a top speed of 559, line up 226 times a period, and the computed loop closes to 6.5×10⁻²¹.

Measured over one period

Period: 180.4850021
Masses: 1 : 1 : 0.5
Energy: -0.953991
Angular momentum: 0
Closest approach: 4.3×10⁻⁶
Top speed: 558.6
Path length: 384.41
Alignments per period: 226
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.073)
Loop closure: 6.5×10⁻²¹

Neighbours on the map

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