Atlas1,775 of 3,915

II.C.15

m₃ = 2

From Li & Liao (2017)

II.C.15 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 38.228 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 10.01), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000268 of each other at a top speed of 315, line up 100 times a period, and the computed loop closes to 6.7×10⁻²³.

Measured over one period

Period: 38.22781171
Masses: 1 : 1 : 2
Energy: -3.88597
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 315.3
Path length: 122.52
Alignments per period: 100
Stability: unstable (|λ|max 10.01)
Loop closure: 6.7×10⁻²³

Neighbours on the map

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