Atlas1,534 of 3,915

II.C.5

m₃ = 0.5

From Li & Liao (2017)

II.C.5 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 32.9 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 139.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0824 of each other at a top speed of 3.52, line up 18 times a period, and the computed loop closes to 2.8×10⁻²⁹.

Measured over one period

Period: 32.89985906
Masses: 1 : 1 : 0.5
Energy: -0.653606
Angular momentum: 0
Closest approach: 0.08236
Top speed: 3.519
Path length: 59.298
Alignments per period: 18
Stability: unstable (|λ|max 139.1)
Loop closure: 2.8×10⁻²⁹

Neighbours on the map

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