Atlas1,286 of 3,942

I.B.49

m₃ = 2

From Li & Liao (2017)

I.B.49 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 193.07 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000425 of each other at a top speed of 251, line up 332 times a period, and the computed loop closes to 6.0×10⁻²³.

Measured over one period

Period: 193.0705871
Masses: 1 : 1 : 2
Energy: -2.95958
Angular momentum: 0
Closest approach: 4.2×10⁻⁵
Top speed: 250.5
Path length: 580.79
Alignments per period: 332
Topology: abababABABAbababaBABABAbababaBABABabababABABABababaBABABAbababaBABABabababABABABababaBABABAbababaBABABabababABABABabababABABAbababaBABABAbababABABABabababABABAbababaBABABAbababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.0×10⁻²³

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.