Atlas1,104 of 3,942

I.B.11

m₃ = 4

From Li & Liao (2017)

I.B.11 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 96.561 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 0.000605 of each other at a top speed of 103, line up 272 times a period, and the computed loop closes to 8.7×10⁻²⁵.

Measured over one period

Period: 96.56061715
Masses: 1 : 1 : 4
Energy: -6.60135
Angular momentum: 0
Closest approach: 6.0×10⁻⁴
Top speed: 102.9
Path length: 390.80
Alignments per period: 272
Topology: ababababababABABABABABAbabababababaBABABABABABAbabababababaBABABABABABAbabababababaBABABABABABababababababABABABABABABababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.7×10⁻²⁵

Neighbours on the map

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