Atlas1,098 of 3,942

I.B.6

m₃ = 4

From Li & Liao (2017)

I.B.6 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 70.111 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 0.000087 of each other at a top speed of 271, line up 188 times a period, and the computed loop closes to 1.1×10⁻²².

Measured over one period

Period: 70.11068149
Masses: 1 : 1 : 4
Energy: -6.38324
Angular momentum: 0
Closest approach: 8.7×10⁻⁵
Top speed: 271.2
Path length: 273.04
Alignments per period: 188
Topology: ababababababaBABABABABABAbabababababaBABABABABABAbababababababABABABABABABababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²²

Neighbours on the map

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