Atlas881 of 3,942

I.B.38

m₃ = 2

From Li & Liao (2017)

I.B.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 118.91 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 0.0000136 of each other at a top speed of 443, line up 272 times a period, and the computed loop closes to 4.6×10⁻¹⁹.

Measured over one period

Period: 118.9127598
Masses: 1 : 1 : 2
Energy: -3.53977
Angular momentum: 0
Closest approach: 1.4×10⁻⁵
Top speed: 442.7
Path length: 339.72
Alignments per period: 272
Topology: ababababABABABAbabababABABABAbabababaBABABABabababaBABABABAbabababABABABAbabababaBABABABabababaBABABABababababABABABAbabababABABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.6×10⁻¹⁹

Neighbours on the map

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