Atlas1,797 of 3,915

II.C.9

m₃ = 0.75

From Li & Liao (2017)

II.C.9 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 14.632 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 95.75), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00338 of each other at a top speed of 18.2, line up 36 times a period, and the computed loop closes to 1.8×10⁻²⁶.

Measured over one period

Period: 14.63161643
Masses: 1 : 1 : 0.75
Energy: -1.93977
Angular momentum: 0
Closest approach: 0.003383
Top speed: 18.19
Path length: 40.420
Alignments per period: 36
Stability: unstable (|λ|max 95.75)
Loop closure: 1.8×10⁻²⁶

Neighbours on the map

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