Atlas1,598 of 3,915

II.C.18

m₃ = 0.5

From Li & Liao (2017)

II.C.18 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 35.073 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 4.415), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00426 of each other at a top speed of 17.7, line up 34 times a period, and the computed loop closes to 3.8×10⁻²⁶.

Measured over one period

Period: 35.07328490
Masses: 1 : 1 : 0.5
Energy: -0.916459
Angular momentum: 0
Closest approach: 0.004256
Top speed: 17.69
Path length: 85.068
Alignments per period: 34
Stability: weakly unstable (|λ|max 4.415)
Loop closure: 3.8×10⁻²⁶

Neighbours on the map

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