Atlas1,895 of 3,915

II.C.183

m₃ = 0.5

From Li & Liao (2017)

II.C.183 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 182.45 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 3.520), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000117 of each other at a top speed of 107, line up 212 times a period, and the computed loop closes to 5.0×10⁻¹⁷.

Measured over one period

Period: 182.4517654
Masses: 1 : 1 : 0.5
Energy: -0.942602
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 106.9
Path length: 425.25
Alignments per period: 212
Stability: weakly unstable (|λ|max 3.520)
Loop closure: 5.0×10⁻¹⁷

Neighbours on the map

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