Atlas2,167 of 3,915

II.C.151

m₃ = 0.5

From Li & Liao (2017)

II.C.151 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 119.54 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 4.473), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000273 of each other at a top speed of 69.9, line up 194 times a period, and the computed loop closes to 3.9×10⁻²⁴.

Measured over one period

Period: 119.5432354
Masses: 1 : 1 : 0.5
Energy: -1.13915
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 69.90
Path length: 286.94
Alignments per period: 194
Stability: weakly unstable (|λ|max 4.473)
Loop closure: 3.9×10⁻²⁴

Neighbours on the map

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