Little Bang Posted December 21, 2011 Report Posted December 21, 2011 Can someone tell me what the time dilation would be in 1000 meter increments up to 50,000 meters above the surface of the Earth without having to do all the calculations? Quote
CraigD Posted December 21, 2011 Report Posted December 21, 2011 Can someone tell me what the time dilation would be in 1000 meter increments up to 50,000 meters above the surface of the Earth without having to do all the calculations?Well, I’d have to do calculations to tell you – that is, I haven’t memorized such information, of have the ability to just feel it – but sure, it’s easy. Do you want it for a body at rest relative to the center of the Earth, or for one above a fixed position on the Earth's surface? If over a fixed position, at what latitude should it be (eg: 0°, at the equator)? Or do you want it for a body in a (impractically low) circular orbit? Quote
Little Bang Posted December 21, 2011 Author Report Posted December 21, 2011 Body at rest. I thought there might be a chart someplace online. Quote
CraigD Posted December 22, 2011 Report Posted December 22, 2011 Height t/t_0 t/t_infinity (m) 0 1 .999999999304068835 1000 1.000000000000109187 .999999999304178022 2000 1.000000000000218339 .999999999304287174 3000 1.000000000000327457 .999999999304396292 4000 1.00000000000043654 .999999999304505375 5000 1.000000000000545589 .999999999304614424 6000 1.000000000000654605 .99999999930472344 7000 1.000000000000763586 .999999999304832421 8000 1.000000000000872532 .999999999304941367 9000 1.000000000000981445 .99999999930505028 10000 1.000000000001090324 .999999999305159159 11000 1.000000000001199168 .999999999305268003 12000 1.000000000001307978 .999999999305376813 13000 1.000000000001416755 .99999999930548559 14000 1.000000000001525497 .999999999305594332 15000 1.000000000001634205 .99999999930570304 16000 1.000000000001742879 .999999999305811714 17000 1.000000000001851519 .999999999305920354 18000 1.000000000001960125 .99999999930602896 19000 1.000000000002068698 .999999999306137533 20000 1.000000000002177236 .999999999306246071 21000 1.00000000000228574 .999999999306354575 22000 1.00000000000239421 .999999999306463045 23000 1.000000000002502647 .999999999306571482 24000 1.000000000002611049 .999999999306679884 25000 1.000000000002719418 .999999999306788253 26000 1.000000000002827752 .999999999306896587 27000 1.000000000002936053 .999999999307004888 28000 1.00000000000304432 .999999999307113155 29000 1.000000000003152553 .999999999307221388 30000 1.000000000003260753 .999999999307329588 31000 1.000000000003368918 .999999999307437753 32000 1.00000000000347705 .999999999307545885 33000 1.000000000003585148 .999999999307653983 34000 1.000000000003693212 .999999999307762047 35000 1.000000000003801243 .999999999307870078 36000 1.00000000000390924 .999999999307978075 37000 1.000000000004017203 .999999999308086038 38000 1.000000000004125133 .999999999308193968 39000 1.000000000004233028 .999999999308301863 40000 1.000000000004340891 .999999999308409726 41000 1.000000000004448719 .999999999308517554 42000 1.000000000004556514 .999999999308625349 43000 1.000000000004664275 .99999999930873311 44000 1.000000000004772003 .999999999308840838 45000 1.000000000004879697 .999999999308948532 46000 1.000000000004987358 .999999999309056193 47000 1.000000000005094985 .99999999930916382 48000 1.000000000005202578 .999999999309271413 49000 1.000000000005310138 .999999999309378973 50000 1.000000000005417665 .9999999993094865 Quote
Little Bang Posted December 23, 2011 Author Report Posted December 23, 2011 Thank you very much Craig. Quote
MichaelSonicBoomGeil Posted January 14, 2012 Report Posted January 14, 2012 Is that the dilation for an object in relativistic symetry, gravity, or both? Quote
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