Atlas1,564 of 3,915

II.C.7

m₃ = 0.75

From Li & Liao (2017)

II.C.7 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 28.867 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 228.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00209 of each other at a top speed of 23.3, line up 30 times a period, and the computed loop closes to 8.7×10⁻²⁷.

Measured over one period

Period: 28.86650110
Masses: 1 : 1 : 0.75
Energy: -1.13512
Angular momentum: 0
Closest approach: 0.002091
Top speed: 23.27
Path length: 69.235
Alignments per period: 30
Stability: unstable (|λ|max 228.3)
Loop closure: 8.7×10⁻²⁷

Neighbours on the map

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