Atlas2,223 of 3,942

II.C.140

m₃ = 0.5

From Li & Liao (2017)

II.C.140 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 143.38 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 1.541), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000907 of each other at a top speed of 383, line up 176 times a period, and the computed loop closes to 8.9×10⁻²¹.

Measured over one period

Period: 143.3806235
Masses: 1 : 1 : 0.5
Energy: -0.945292
Angular momentum: 0
Closest approach: 9.1×10⁻⁶
Top speed: 383.4
Path length: 306.94
Alignments per period: 176
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.541)
Loop closure: 8.9×10⁻²¹

Neighbours on the map

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