Atlas1,999 of 3,915

II.C.44

m₃ = 0.75

From Li & Liao (2017)

II.C.44 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 37.575 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.177), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000108 of each other at a top speed of 325, line up 84 times a period, and the computed loop closes to 1.3×10⁻¹⁸.

Measured over one period

Period: 37.57520923
Masses: 1 : 1 : 0.75
Energy: -1.78864
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 324.6
Path length: 94.787
Alignments per period: 84
Stability: weakly unstable (|λ|max 1.177)
Loop closure: 1.3×10⁻¹⁸

Neighbours on the map

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