Atlas1,619 of 3,915

II.C.61

m₃ = 0.75

From Li & Liao (2017)

II.C.61 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 124.29 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 107), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0127 of each other at a top speed of 9.51, line up 84 times a period, and the computed loop closes to 1.1×10⁻²⁶.

Measured over one period

Period: 124.2929450
Masses: 1 : 1 : 0.75
Energy: -0.876885
Angular momentum: 0
Closest approach: 0.01267
Top speed: 9.513
Path length: 262.97
Alignments per period: 84
Stability: unstable (|λ|max 1070)
Loop closure: 1.1×10⁻²⁶

Neighbours on the map

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