Atlas1,740 of 3,915

II.C.112

m₃ = 0.75

From Li & Liao (2017)

II.C.112 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 131.74 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 209.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00126 of each other at a top speed of 30.1, line up 160 times a period, and the computed loop closes to 3.5×10⁻²⁵.

Measured over one period

Period: 131.7379538
Masses: 1 : 1 : 0.75
Energy: -1.24721
Angular momentum: 0
Closest approach: 0.001257
Top speed: 30.12
Path length: 327.42
Alignments per period: 160
Stability: unstable (|λ|max 209.6)
Loop closure: 3.5×10⁻²⁵

Neighbours on the map

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