Atlas1,010 of 3,942

I.B.21

m₃ = 4

From Li & Liao (2017)

I.B.21 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 128.61 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 0.0000445 of each other at a top speed of 379, line up 396 times a period, and the computed loop closes to 4.0×10⁻¹⁶.

Measured over one period

Period: 128.6082001
Masses: 1 : 1 : 4
Energy: -6.99142
Angular momentum: 0
Closest approach: 4.4×10⁻⁵
Top speed: 379.3
Path length: 505.75
Alignments per period: 396
Topology: abababababababABABABABABABababababababaBABABABABABABababababababaBABABABABABABababababababaBABABABABABAbababababababaBABABABABABAbababababababABABABABABABAbababababababABABABABABABAbababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.0×10⁻¹⁶

Neighbours on the map

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