Atlas1,583 of 3,915

II.C.5

m₃ = 8

From Li & Liao (2017)

II.C.5 m₃ = 8 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 8 that return to their starting positions and velocities every 86.673 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 12.32), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000103 of each other at a top speed of 371, line up 388 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 86.67253993
Masses: 1 : 1 : 8
Energy: -14.4295
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 370.6
Path length: 481.86
Alignments per period: 388
Stability: unstable (|λ|max 12.32)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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