Robert B In a recent post, I offered you an olive branch. Did you take it or stomp on it? I ask, because in my part of the world, to call someone a mule is not a compliment. I'll be more precise -- it is the negation of a compliment. Regarding the rabbit in the hat -- I could substitute a number of illusions here, at least one of which you may have difficulty wriggling out from under. I'm sure you understand my intent, and nth degree of definition would be unnecessary if you were to show a modicum of accomodation instead of merely splitting hairs. Answer with an included caveat if you wish, but if you are interested in debating the issue, then please debate -- please don't evade! I'm well aware that two mutually exclusive statements cannot both be correct. Can we put that behind us? You said You have filled in 2 points correctly…. So build on the knowledge used in those 2 computations and fill in the rest of the incomplete GS points for satellites… I'm going to assume, in the absence of your agreement, that you are referring to the superimposed orbits ie the Moon's 24.86h and the geosynchronous satellite's infinite period. These were not computations -- these data were gleaned from GS discussion and I don't know how many times I've asked for the means of GS computation, but no one seems able and/or willing to offer that information. The calculation is the same for all. You'll need to give me more clues. You see, if I use the generally accepted formulae to calculate orbital characteristics (as plotted), the observed behaviour is found to agree with the calculated results. Yet you say the calculation is the same for all -- GS and HC presumably. Just to clarify a point -- 'observed behaviour' in an HC scenario includes Earth rotation of once per 23h 56m 4.09...s. This, you may claim, is not observed, and in the strictest sense, this view is supported. But this is true for all such observations. As has been pointed out by others, if you observe the universe from the surface of any planet or satellite of any planet in the Solar System, your observation will be the same as it is on the Earth -- that you are the centre of the universe, unmoving, and all else orbits you. Your multiple references to mutual exclusivity applies here also. Ultimately, your assertions rest entirely upon a narrow interpretation of words written by men in a time of ignorance. Now my acceptance that the Earth rotates on its axis in 23h ... may not be directly observable, as stated in the previous paragraph, but there is evidence that it does rotate. Two items. One - as Neville J remarked in a recent post, the geosynchronous satellite is one -- it was doing 6000+ mph just before entering orbit, no braking was applied, where did the velocity go? And it obeys those formulae for orbital characteristics. Two - if I experiment with a gymballed spinning gyroscope, I discover that the flywheel behaves in a quite predictable manner when its frame is rotated in different planes. If I leave the gyroscope spinning but its frame held -- apparently -- stationary, I observe that it behaves as though it were being manipulated just as before, except more slowly. I am entitled to believe that it is being manipulated by the -- apparently -- stationary object to which the frame is attached ie the Earth. And to head off any misunderstanding, I'm referring to the gyroscope's frame -- not frames of reference. Do you have any similar experiments which imply that the Earth is stationary, especially does not rotate? Paul D Send instant messages to your online friends http://au.messenger.yahoo.com