Atlas1,696 of 3,915

II.C.65

m₃ = 0.5

From Li & Liao (2017)

II.C.65 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 53.879 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 427.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00306 of each other at a top speed of 20.8, line up 90 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 53.87878205
Masses: 1 : 1 : 0.5
Energy: -1.24293
Angular momentum: 0
Closest approach: 0.003056
Top speed: 20.76
Path length: 148.15
Alignments per period: 90
Stability: unstable (|λ|max 427.8)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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