Atlas1,631 of 3,915

II.C.27

m₃ = 0.5

From Li & Liao (2017)

II.C.27 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 24.001 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 702.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000131 of each other at a top speed of 101, line up 46 times a period, and the computed loop closes to 2.3×10⁻²⁴.

Measured over one period

Period: 24.00110910
Masses: 1 : 1 : 0.5
Energy: -1.36737
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 100.9
Path length: 69.174
Alignments per period: 46
Stability: unstable (|λ|max 702.2)
Loop closure: 2.3×10⁻²⁴

Neighbours on the map

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