Atlas1,195 of 3,942

I.B.4

m₃ = 4

From Li & Liao (2017)

I.B.4 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 72.22 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 0.000177 of each other at a top speed of 19, line up 172 times a period, and the computed loop closes to 3.4×10⁻²⁴.

Measured over one period

Period: 72.22012267
Masses: 1 : 1 : 4
Energy: -5.90881
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 190.4
Path length: 282.49
Alignments per period: 172
Topology: ababababababABABABABABAbabababababABABABABABAbabababababaBABABABABABabababababaBABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²⁴

Neighbours on the map

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