Atlas1,738 of 3,915

II.C.66

m₃ = 0.75

From Li & Liao (2017)

II.C.66 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 74.09 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 258), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000254 of each other at a top speed of 67.1, line up 98 times a period, and the computed loop closes to 5.4×10⁻²⁵.

Measured over one period

Period: 74.09031191
Masses: 1 : 1 : 0.75
Energy: -1.32279
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 67.13
Path length: 190.39
Alignments per period: 98
Stability: unstable (|λ|max 258.0)
Loop closure: 5.4×10⁻²⁵

Neighbours on the map

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