Atlas1,667 of 3,915

II.C.25

m₃ = 0.75

From Li & Liao (2017)

II.C.25 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 27.047 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 237.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00408 of each other at a top speed of 16.6, line up 56 times a period, and the computed loop closes to 3.9×10⁻²⁷.

Measured over one period

Period: 27.04714977
Masses: 1 : 1 : 0.75
Energy: -1.77136
Angular momentum: 0
Closest approach: 0.004083
Top speed: 16.61
Path length: 80.153
Alignments per period: 56
Stability: unstable (|λ|max 237.7)
Loop closure: 3.9×10⁻²⁷

Neighbours on the map

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