Atlas1,484 of 3,915

II.C.33

m₃ = 0.75

From Li & Liao (2017)

II.C.33 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 70.861 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 1919), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0166 of each other at a top speed of 8.32, line up 56 times a period, and the computed loop closes to 4.9×10⁻²⁵.

Measured over one period

Period: 70.86097965
Masses: 1 : 1 : 0.75
Energy: -0.964936
Angular momentum: 0
Closest approach: 0.01660
Top speed: 8.320
Path length: 161.42
Alignments per period: 56
Stability: unstable (|λ|max 1919)
Loop closure: 4.9×10⁻²⁵

Neighbours on the map

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