Atlas1,536 of 3,915

II.C.13

m₃ = 0.75

From Li & Liao (2017)

II.C.13 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 52.24 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 11911), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0328 of each other at a top speed of 5.97, line up 26 times a period, and the computed loop closes to 1.8×10⁻²⁶.

Measured over one period

Period: 52.24030962
Masses: 1 : 1 : 0.75
Energy: -0.702854
Angular momentum: 0
Closest approach: 0.03275
Top speed: 5.966
Path length: 98.936
Alignments per period: 26
Stability: unstable (|λ|max 11911)
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.