Atlas1,242 of 3,942

I.B.53

m₃ = 2

From Li & Liao (2017)

I.B.53 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 187.84 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 0.0000267 of each other at a top speed of 316, line up 356 times a period, and the computed loop closes to 1.4×10⁻²².

Measured over one period

Period: 187.8413617
Masses: 1 : 1 : 2
Energy: -3.14943
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 315.9
Path length: 571.55
Alignments per period: 356
Topology: abababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbabababABABABabababABABABabababABABABabababABABABabababABABABabababABABABabababABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²²

Neighbours on the map

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