Atlas1,125 of 3,915

I.B.18

m₃ = 0.5

From Li & Liao (2017)

I.B.18 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 36.974 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 123.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00257 of each other at a top speed of 22.8, line up 56 times a period, and the computed loop closes to 2.8×10⁻²⁵.

Measured over one period

Period: 36.97429390
Masses: 1 : 1 : 0.5
Energy: -1.10651
Angular momentum: 0
Closest approach: 0.002574
Top speed: 22.76
Path length: 91.200
Alignments per period: 56
Stability: unstable (|λ|max 123.7)
Loop closure: 2.8×10⁻²⁵

Neighbours on the map

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