Atlas1,468 of 3,915

II.C.3

m₃ = 5

From Li & Liao (2017)

II.C.3 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 90.904 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 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000153 of each other at a top speed of 737, line up 278 times a period, and the computed loop closes to 3.5×10⁻²².

Measured over one period

Period: 90.90390337
Masses: 1 : 1 : 5
Energy: -8.12930
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 737.0
Path length: 404.97
Alignments per period: 278
Stability: stable (|λ|max 1.000)
Loop closure: 3.5×10⁻²²

Neighbours on the map

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