Atlas2,195 of 3,915

II.C.190

m₃ = 0.5

From Li & Liao (2017)

II.C.190 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 191.72 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 1.722), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000711 of each other at a top speed of 137, line up 228 times a period, and the computed loop closes to 4.2×10⁻²³.

Measured over one period

Period: 191.7202695
Masses: 1 : 1 : 0.5
Energy: -0.932174
Angular momentum: 0
Closest approach: 7.1×10⁻⁵
Top speed: 136.9
Path length: 415.71
Alignments per period: 228
Stability: weakly unstable (|λ|max 1.722)
Loop closure: 4.2×10⁻²³

Neighbours on the map

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