Atlas2,109 of 3,915

II.C.43

m₃ = 0.5

From Li & Liao (2017)

II.C.43 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 46.152 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 11.32), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000283 of each other at a top speed of 68.6, line up 74 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 46.15201528
Masses: 1 : 1 : 0.5
Energy: -1.14664
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 68.62
Path length: 113.76
Alignments per period: 74
Stability: unstable (|λ|max 11.32)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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