Atlas1,059 of 3,942

I.B.3

m₃ = 4

From Li & Liao (2017)

I.B.3 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 34.811 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 0.000274 of each other at a top speed of 153, line up 96 times a period, and the computed loop closes to 2.6×10⁻²⁵.

Measured over one period

Period: 34.81124313
Masses: 1 : 1 : 4
Energy: -6.50066
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 152.9
Path length: 134.95
Alignments per period: 96
Topology: ababababababaBABABABABABAbababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.6×10⁻²⁵

Neighbours on the map

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