Atlas1,241 of 3,942

I.B.29

m₃ = 2

From Li & Liao (2017)

I.B.29 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 118.3 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 0.0000784 of each other at a top speed of 184, line up 216 times a period, and the computed loop closes to 4.2×10⁻²⁴.

Measured over one period

Period: 118.3019983
Masses: 1 : 1 : 2
Energy: -3.07563
Angular momentum: 0
Closest approach: 7.8×10⁻⁵
Top speed: 184.4
Path length: 358.97
Alignments per period: 216
Topology: abababABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABabababABABABabababABABABabababABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.2×10⁻²⁴

Neighbours on the map

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