Sorry, but it has been done by Thirring for the geocentric model. It is the geokinetic model which has the fictional forces of centrifugal and coriolis forces.
You're just trying to avoid the fact that coriolis forces are fictional in a geokinetic model and generated naturally in a geocentric one.
Please explain what causes the coriolis winds in a stationary earth. And dont go into done by Thirring because his calculated effect is thousands of times smaller and we are spending millions trying to detect it.”