Atlas1,610 of 3,915

II.C.75

m₃ = 0.75

From Li & Liao (2017)

II.C.75 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 112.72 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 132.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00236 of each other at a top speed of 21.9, line up 108 times a period, and the computed loop closes to 3.9×10⁻²⁶.

Measured over one period

Period: 112.7187972
Masses: 1 : 1 : 0.75
Energy: -1.06355
Angular momentum: 0
Closest approach: 0.002361
Top speed: 21.95
Path length: 258.57
Alignments per period: 108
Stability: unstable (|λ|max 132.2)
Loop closure: 3.9×10⁻²⁶

Neighbours on the map

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