Atlas1,471 of 3,942

II.C.14

m₃ = 2

From Li & Liao (2017)

II.C.14 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 40.926 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 136), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000231 of each other at a top speed of 107, line up 84 times a period, and the computed loop closes to 1.0×10⁻²⁴.

Measured over one period

Period: 40.92639746
Masses: 1 : 1 : 2
Energy: -3.32908
Angular momentum: 0
Closest approach: 2.3×10⁻⁴
Top speed: 107.4
Path length: 130.22
Alignments per period: 84
Topology: abababABABAbababaBABABabababABABABabababABABAB (free-group class)
Stability: unstable (|λ|max 136.0)
Loop closure: 1.0×10⁻²⁴

Neighbours on the map

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