Atlas1,650 of 3,942

II.C.38

m₃ = 2

From Li & Liao (2017)

II.C.38 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 114.17 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 1.004), so a small nudge only makes it wobble. The bodies pass within 0.0000229 of each other at a top speed of 341, line up 226 times a period, and the computed loop closes to 3.0×10⁻¹⁶.

Measured over one period

Period: 114.1715748
Masses: 1 : 1 : 2
Energy: -3.22592
Angular momentum: 0
Closest approach: 2.3×10⁻⁵
Top speed: 341.4
Path length: 333.02
Alignments per period: 226
Topology: abababaBABABAbabababABABABAbabababABABABabababaBABABABabababaBABABAbabababABABABAbabababABABABAbababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.004)
Loop closure: 3.0×10⁻¹⁶

Neighbours on the map

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