Atlas1,427 of 3,915

II.C.14

m₃ = 4

From Li & Liao (2017)

II.C.14 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 173.26 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 305.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000748 of each other at a top speed of 293, line up 438 times a period, and the computed loop closes to 2.6×10⁻²³.

Measured over one period

Period: 173.2559878
Masses: 1 : 1 : 4
Energy: -6.15708
Angular momentum: 0
Closest approach: 7.5×10⁻⁵
Top speed: 292.6
Path length: 709.44
Alignments per period: 438
Stability: unstable (|λ|max 305.9)
Loop closure: 2.6×10⁻²³

Neighbours on the map

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