Atlas1,871 of 3,915

II.C.122

m₃ = 0.75

From Li & Liao (2017)

II.C.122 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 85.012 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 4.216), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000482 of each other at a top speed of 154, line up 186 times a period, and the computed loop closes to 6.5×10⁻²³.

Measured over one period

Period: 85.01216507
Masses: 1 : 1 : 0.75
Energy: -1.79485
Angular momentum: 0
Closest approach: 4.8×10⁻⁵
Top speed: 153.9
Path length: 227.07
Alignments per period: 186
Stability: weakly unstable (|λ|max 4.216)
Loop closure: 6.5×10⁻²³

Neighbours on the map

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