Atlas2,075 of 3,915

II.C.187

m₃ = 0.5

From Li & Liao (2017)

II.C.187 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 133.32 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 1.052), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000198 of each other at a top speed of 821, line up 232 times a period, and the computed loop closes to 6.8×10⁻²¹.

Measured over one period

Period: 133.3212700
Masses: 1 : 1 : 0.5
Energy: -1.17801
Angular momentum: 0
Closest approach: 2.0×10⁻⁶
Top speed: 821.2
Path length: 315.96
Alignments per period: 232
Stability: weakly unstable (|λ|max 1.052)
Loop closure: 6.8×10⁻²¹

Neighbours on the map

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