Atlas1,013 of 3,942

I.B.44

m₃ = 2

From Li & Liao (2017)

I.B.44 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 139.01 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 0.0000169 of each other at a top speed of 398, line up 308 times a period, and the computed loop closes to 9.0×10⁻²².

Measured over one period

Period: 139.0125537
Masses: 1 : 1 : 2
Energy: -3.47432
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 397.6
Path length: 415.02
Alignments per period: 308
Topology: abababaBABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.0×10⁻²²

Neighbours on the map

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