Atlas2,116 of 3,915

II.C.231

m₃ = 0.5

From Li & Liao (2017)

II.C.231 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 156.74 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 29.62), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000201 of each other at a top speed of 81.4, line up 266 times a period, and the computed loop closes to 5.3×10⁻²⁴.

Measured over one period

Period: 156.7395420
Masses: 1 : 1 : 0.5
Energy: -1.17571
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 81.39
Path length: 382.38
Alignments per period: 266
Stability: unstable (|λ|max 29.62)
Loop closure: 5.3×10⁻²⁴

Neighbours on the map

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