Atlas1,192 of 3,942

I.B.35

m₃ = 2

From Li & Liao (2017)

I.B.35 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 120.62 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 0.000666 of each other at a top speed of 63.3, line up 260 times a period, and the computed loop closes to 7.7×10⁻²⁵.

Measured over one period

Period: 120.6208514
Masses: 1 : 1 : 2
Energy: -3.43517
Angular momentum: 0
Closest approach: 6.7×10⁻⁴
Top speed: 63.30
Path length: 386.46
Alignments per period: 260
Topology: abababABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABabababABABABabababABABABabababABABABabababABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.7×10⁻²⁵

Neighbours on the map

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