Atlas2,047 of 3,915

II.C.174

m₃ = 0.5

From Li & Liao (2017)

II.C.174 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 128.91 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 413.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000122 of each other at a top speed of 105, line up 210 times a period, and the computed loop closes to 3.0×10⁻²³.

Measured over one period

Period: 128.9093835
Masses: 1 : 1 : 0.5
Energy: -1.15932
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 104.5
Path length: 321.21
Alignments per period: 210
Stability: unstable (|λ|max 413.4)
Loop closure: 3.0×10⁻²³

Neighbours on the map

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