Atlas963 of 3,942

I.B.8

m₃ = 4

From Li & Liao (2017)

I.B.8 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 68.189 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 0.0000189 of each other at a top speed of 582, line up 204 times a period, and the computed loop closes to 6.5×10⁻¹⁹.

Measured over one period

Period: 68.18892469
Masses: 1 : 1 : 4
Energy: -6.85365
Angular momentum: 0
Closest approach: 1.9×10⁻⁵
Top speed: 582.0
Path length: 257.22
Alignments per period: 204
Topology: abababababababABABABABABABAbababababababABABABABABABAbababababababaBABABABABABABababababababaBABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.5×10⁻¹⁹

Neighbours on the map

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