Feed: Dr. Myron Evans
Posted on: Sunday, January 08, 2012 12:51 AM
Author: metric345
Subject: Velocity in Cylindrical Polar Coordinates
The total linear velocity in cylindrical polar coordinates was used in the important papers UFT190 ff. It is:
v bold = d(r e sub r bold) / dt where e sub r bold is the radial unit vector (unitless) and r the radial coordinate (metres). This is important because it was shown in Section 3 of UFT196 that the acceleration calculated from the ellipse in cylindrical polar coordinates does not contain a centrifugal part. This means that the Newton theory is deeply self inconsistent. All the calculations with velocity and acceleration are given there in cylindrical polar coordinates. They are by no means straightforward, which is why the problem with Newton was not discovered for three hundred years. Examination of basic concepts is a difficult task, so only a few scholars have done it down the centuries. AIAS is outstanding in that it addresses basic concepts without peer pressure to conform to dogma. The velocity squared is then v squared = (dr/dt) squared + r squared (dtheta / dt) squared which has the right S. I. units. This gives the kinetic energy m v squared / 2. The so called “centrifugal effective potential energy” is the second term, despite the fact that it is clearly the rotational kinetic energy. However, as shown in Section 3 of UFT196, it does not exist, the force calculated directly from the elliptical Newtonian orbit does not contain the centrifugal force. This is why I rejected Newton’s concept of force in favour of geometry (Keplerian and earlier philosophy). I would have failed my O levels at Pontardawe Grammar School if I had done that there. Now I can concentrate on the real truth. In a message dated 07/01/2012 19:37:20 GMT Standard Time
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