Atlas882 of 3,942

I.B.56

m₃ = 2

From Li & Liao (2017)

I.B.56 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 139.43 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.002), so a small nudge only makes it wobble. The bodies pass within 0.0000205 of each other at a top speed of 361, line up 376 times a period, and the computed loop closes to 3.4×10⁻¹⁵.

Measured over one period

Period: 139.4317930
Masses: 1 : 1 : 2
Energy: -3.95270
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 361.1
Path length: 427.31
Alignments per period: 376
Topology: ababababABABABAbabababABABABAbabababaBABABABabababaBABABABabababaBABABABAbabababABABABAbabababABABABAbabababaBABABABabababaBABABABababababABABABAbabababABABABAbabababABABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.002)
Loop closure: 3.4×10⁻¹⁵

Neighbours on the map

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