Atlas1,249 of 3,942

I.B.41

m₃ = 2

From Li & Liao (2017)

I.B.41 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 199.7 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.449), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000258 of each other at a top speed of 321, line up 292 times a period, and the computed loop closes to 1.4×10⁻¹⁶.

Measured over one period

Period: 199.6963837
Masses: 1 : 1 : 2
Energy: -2.66803
Angular momentum: 0
Closest approach: 2.6×10⁻⁵
Top speed: 321.4
Path length: 584.13
Alignments per period: 292
Topology: abababABABAbababABABAbababABABAbababABABAbababABABAbababABABAbababABABAbababABABAbababaBABABababaBABABababaBABABababaBABABababaBABABababaBABABababaBABABababaBABAB (free-group class)
Stability: weakly unstable (|λ|max 1.449)
Loop closure: 1.4×10⁻¹⁶

Neighbours on the map

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