Atlas1,579 of 3,915

II.C.18

m₃ = 4

From Li & Liao (2017)

II.C.18 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 181.59 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.033), so a small nudge only makes it wobble. The bodies pass within 0.0000328 of each other at a top speed of 442, line up 514 times a period, and the computed loop closes to 5.6×10⁻²³.

Measured over one period

Period: 181.5941858
Masses: 1 : 1 : 4
Energy: -6.61842
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 441.8
Path length: 723.04
Alignments per period: 514
Stability: stable (|λ|max 1.033)
Loop closure: 5.6×10⁻²³

Neighbours on the map

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