Atlas2,205 of 3,915

II.C.104

m₃ = 0.5

From Li & Liao (2017)

II.C.104 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 120.01 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 1.843), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000353 of each other at a top speed of 194, line up 144 times a period, and the computed loop closes to 1.8×10⁻²².

Measured over one period

Period: 120.0149739
Masses: 1 : 1 : 0.5
Energy: -0.937683
Angular momentum: 0
Closest approach: 3.5×10⁻⁵
Top speed: 194.2
Path length: 261.39
Alignments per period: 144
Stability: weakly unstable (|λ|max 1.843)
Loop closure: 1.8×10⁻²²

Neighbours on the map

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