Atlas1,510 of 3,915

II.C.4

m₃ = 2

From Li & Liao (2017)

II.C.4 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 10.652 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 722.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0474 of each other at a top speed of 6.15, line up 20 times a period, and the computed loop closes to 4.0×10⁻²⁸.

Measured over one period

Period: 10.65219163
Masses: 1 : 1 : 2
Energy: -2.98481
Angular momentum: 0
Closest approach: 0.04745
Top speed: 6.153
Path length: 35.788
Alignments per period: 20
Stability: unstable (|λ|max 722.1)
Loop closure: 4.0×10⁻²⁸

Neighbours on the map

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