Atlas1,102 of 3,942

I.B.10

m₃ = 5

From Li & Liao (2017)

I.B.10 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 181.47 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000153 of each other at a top speed of 233, line up 568 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 181.4678832
Masses: 1 : 1 : 5
Energy: -8.25323
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 233.3
Path length: 805.68
Alignments per period: 568
Topology: abababababababaBABABABABABABAbabababababababABABABABABABABAbabababababababABABABABABABABabababababababaBABABABABABABABabababababababABABABABABABABAbabababababababABABABABABABABabababababababaBABABABABABABABabababababababaBABABABABABABAbabababababababABABABABABABABAbababababababaBABABABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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