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Considered questions and comments arising from free to ALL "shape issue" pdf.
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03-28-2011, 11:24 AM
Post: #32
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RE: Considered questions and comments arising from free to ALL pdf.
My apologies to all,
![]() Post 27 has had some major revisions when I noticed I had made a rather silly mistake. I had calculated cell height by multiplying by 3.75, and not the proper 2.5. I have corrected and posted the corrected plots and tables now. One plot is still outstanding though. It will be posted asap. Update - It occurs to me that I need to check thoroughly the latitude heights, and distances, to see if I have used chords rather than great circle route distances. (A great circle curve presumably also applies to the cells vertical sides and may effect area slightly.) I am reasonably certain I have the cell base and top distances correct, so I do not think any remaining errors will be large. But, if they are there I will try to spot and correct them. Some may have noticed the figure I used (1.910923408052) in the calculation V-T*U/1.910923408052, whilst calculating cell surface area. ("calculated" by long winded trial and error....) This I think is not 2 because of the great circle route difference. In the end the cell surface areas are only for a smooth surface, terrain makes the figures bigger. - Think of a plain sheet of paper, it has a surface area. Scrumple the sheet of paper up, and then open in out again, without smoothing it. The sheet of paper has "terrain", and, covers a smaller surface area of the table top than the sheet of paper had before it was scrumpled up. Therefore the Wiki quoted surface area for the globe must be a minimum surface area, the real globe with terrain will have a bigger actual surface area.. That said, I will consider the excel sheet correct when I have checked the lat. and long. figures, and the cell surface areas, AND that the cell surface areas sum up to the same as for the real (but smoothed presumably) global surface area quoted. The table at present does actually do this, but I think there are a few detail changes that may be needed (as described) to check for first. |
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