But wait...... this is the formula which is derived from the theory about a projectile that flies over the surface of a spinning ball.
What I was asking for was a calculation with a formula derived from the theory about a projectile that flies over a stationary earth while it is subjected to a force created by a drifting aether. You do not seem to be very familiar with this type of debate.
The Coriolis force involves ROTATION: whether it be the rotation of the Earth, or the rotation of the ether field above the surface of the Earth.
The formulas are the same.
That is why the Coriolis effect, or Foucault's pendulum, cannot be used to debate heliocentrism vs. geocentrism.
You must understand Mach's principle, as it applies exactly to this situation.
By maintaining the relativity of all motion, especially rotational motion, E. Mach denied the existence of absolute motion and of absolute space. Accordingly, Mach maintained the equivalence of the Ptolemaic and the Copernican systems and the equivalence of rotating-system/fixed-universe and universe-rotating/fixed-system situations.
Mach's Principle: A body experiences no inertial forces when it is at rest or in uniform motion with respect to the center of mass of the entire universe. When its motion is nonuniform (accelerated) with respect to the total mass of the universe, it experiences forces such as centrifugal force and the Coriolis effect. Hence, the "local" behavior of matter is influenced by the "global" properties of the universe, i.e., those properties that describe the universe as a whole, which are studied in cosmology.
The Lense-Thirring effect as a consequence of Mach's Principle:
http://www.answers.com/topic/mach-s-principleH. Thirring observed that the complete equivalence between the reference frames, explaining such phenomena as the Foucault pendulum equally well in a geocentric reference frame, is secured by definition by Einstein's 1915 work: "the required equivalence appears to be guaranteed by the general co-variance of the field equations." That is, Einstein's field equations are structured to supply the necessary upward force on the geosynchronous satellite in a geocentric as well as a heliocentric framework. Thus, H. Thirring notes that: "...in an Einsteinian gravitational field, caused by distant rotating masses, forces appear which are analogous to the centrifugal and Coriolis forces."
Max Born in his famous book,"Einstein's Theory of Relativity", Dover Publications,1962, pgs. 344 & 345 says:
"...Thus we may return to Ptolemy's point of view of a 'motionless earth'...One has to show that the transformed metric can be regarded as produced according to Einstein's field equations, by distant rotating masses. This has been done by Thirring. He calculated a field due to a rotating, hollow, thick-walled sphere and proved that inside the cavity it behaved as though there were centrifugal and other inertial forces usually attributed to absolute space.
Thus from Einstein's point of view, Ptolemy and Corpenicus are equally right."
Einstein himself also says:
"The struggle, so violent in the early days of science, between the views of Ptolemy and Copernicus would then be quite meaningless. Either CS could be used with equal justification. The two sentences, 'the sun is at rest and the earth moves,' or 'the sun moves and the earth is at rest,' would simply mean two different conventions concerning two different CS. -- Einstein and Infeld, The Evolution of Physics, p.212 (p.248 in original 1938 ed.)"
Therefore, distant rotary masses can cause local inertial forces, like the Coriolis and centrifugal forces, which perfectly mimic the inertial effects of a spinning Earth . This implies that there are two possible explanations for the inertial forces whenever objects are in relative rotational motion.
Mach's principle has been confirmed in theory by Hans Thirring and no experimental test has ever disproved this principle of relative motion.
The experiment performed by J. Barbour and B. Bertotti proved that a large hollow sphere (representing the distant star fields) rotating around a small solid sphere inside (modeling the Earth) produced exactly the same pattern of Coriolis and centrifugal forces that are claimed as proof of Earth's spinning in space. If the hollow shell of matter accelerates or rotates, any object inside the shell will tend to be carried along with the acceleration or rotation to some extent. There have arisen some questions re: the Lagrangian used by Barbour and Bertotti and also about the coordinate transformations discussed in their article, but the main experiment showed, quite clearly that Mach's Principle is correct.
http://www.freelists.org/post/geocentrism/Overview-Barbour-BertottiErnst Mach proposed that it is the weight of the stars circling the Earth that drags Foucault pendulums around, creates Coriolis forces in the air that give the cyclones to our weather etc. Barbour and Bertotti (Il Nuovo Cimento 32B(1):1-27, 11 March 1977) proved that a hollow sphere (the universe) rotating around a solid sphere inside (the Earth) produced exactly the same results of Coriolis forces, dragging of Foucault pendulums etc. that are put forward as 'proofs' of heliocentricity.
Do you understand now?
The Coriolis effect is just a physical effect.
To distinguish between heliocentrism and geocentrism one needs the SAGNAC EFFECT.