{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["Título","ComeçarAqui","ET","Calculos"],"not_rendered":{"charts":0,"images":6,"macros":1,"external_links":0,"defined_names":1,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Título","index":0,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"ComeçarAqui","index":1,"n_rows":223,"n_cols":10,"rows_kept":223,"cut":false,"hidden":false,"merged":[[6,2,6,4]]}
["Calcula  a evapotranspiração de referência pelo método de Penman-Monteith (até + de 1 milhão de dias; dias sem dados ou com falhas são ignorados)"]
["Programado por J P de Melo e Abreu (reporte possíveis (mas improváveis) erros para o seu autor: jpabreu@isa.utl.pt)."]
["Substituir  todos os parâmetros e opções (células a verde) e os dados diários das colunas cujo título está a azul. Pode começar no dia que quiser, saltar dias, ou ter dados em falta.  Nestes casos, os dias em causa são ignorados."]
["Para cada dia, tem de preencher todas as células encimadas a azul; só as células das colunas I e J são preenchidas em alternativa (isto é: se preenche uma não preenche a outra). "]
["Depois de preencher carregue no botão. Note que tem de ter as macros ativadas, o que consegue com uma segurança média. Nas versões mais recentes do Windows, aparece um aviso de segurança e  nas opções tem que ativar as macros."]
["Mostrar detalhes?",null,"Sim","Clique! (Sim/Não)"]
["Localização:",null,"Tapada da Ajuda"]
[]
["Latitude:",38,"graus",42,"minutos",0,"segundos","Norte","Clique! (Norte/Sul)"]
["Altitude",50,"m","Alt An",10,"m"]
[]
["Ano","Data ","Dia do Ano","Tmin","Tmax","HRmin","HRmax","Vento","Insolação real","Rad. Global"]
[null,null,"(1/1=1)","[C]","[C]","[%]","[%]","[Km/h]","[h]","[MJ/m-2/dia]"]
[2005,"2004-01-01",1]
[2005,"2004-01-02",2]
[2005,"2004-01-03",3]
[2005,"2004-01-04",4]
[2005,"2004-01-05",5]
[2005,"2004-01-06",6]
[2005,"2004-01-07",7]
[2005,"2004-01-08",8]
[2005,"2004-01-09",9]
[2005,"2004-01-10",10]
[2005,"2004-01-11",11]
[2005,"2004-01-12",12]
[2005,"2004-01-13",13,3.5,13.5,24,100,4.9162499999999909,9.0536692318984375]
[2005,"2004-01-14",14,4,10.7,24,100,4.6804166666666633,9.0743659846512479]
[2005,"2004-01-15",15,3,11.1,24,100,4.3154166666666542,9.0958438274682436]
[2005,"2004-01-16",16,4,13.5,null,null,null,9]
[2005,"2004-01-17",17,6,16.899999999999999,24,100,4.5483333333333276,9.1410721084986921]
[2005,"2004-01-18",18,5.5,16.5,24,100,4.4212500000000245,9.164786542267489]
[2005,"2004-01-19",19,9.9,17.600000000000001,24,100,7.0712499999999636,9.1892101463465732]
[2005,"2004-01-20",20,9.9,16.5,24,100,6.8791666666666815,9.2143244501838222]
[2005,"2004-01-21",21,5.7,14.8,24,100,6.2770833333333185,9.240110872181825]
[2005,"2004-01-22",22,5.5,15,24,100,7.6395833333333334,9.2665507599660089]
[2005,"2004-01-23",23,4.5,13.5,24,100,10.19,9.2936254291106302]
[2005,"2004-01-24",24,4.5,14,24,100,7.6216666666666697,9.321316200216927]
[2005,"2004-01-25",25,5,14.5,24,100,4.4183333333333321,9.3496044342539282]
[2005,"2004-01-26",26,4.3,14.7,24,100,3.1524999999999999,9.3784715660887752]
[2005,"2004-01-27",27,3,15.5,24,100,2.4904166666666661,9.4078991361487123]
[2005,"2004-01-28",28,2.5,14.3,24,100,3.74125,9.4378688201719516]
[2005,"2004-01-29",29,6.5,13.5,24,100,6.86,9.4683624570186495]
[2005,"2004-01-30",30,6,13.8,24,100,4.2233333333333292,9.4993620745265819]
[2005,"2004-01-31",31,5.5,13.7,24,100,5.8583333333333387,9.5308499134084208]
[2005,"2004-02-01",32,5.5,13.7,24,100,8.5024999999999995,9.562808449199073]
[2005,"2004-02-02",33,5.8,14.1,24,100,7.0012499999999998,9.5952204122718161]
[2005,"2004-02-03",34,5,14.9,24,100,4.8104166666666686,9.6280688059517097]
[2005,"2004-02-04",35,5,15.2,24,100,2.82,9.6613369227629793]
[2005,"2004-02-05",36,4.9000000000000004,14.5,24,100,4.7649999999999997,9.695008358854702]
[2005,"2004-02-06",37,4.8,14.1,24,100,6.6791666666666645,9.7290670266556951]
[2005,"2004-02-07",38,5,15,24,100,5.4514989626556103,9.7634971658149556]
[2005,"2004-02-08",39,5,14.9,24,100,6.5110010373443856,9.7982833524888875]
[2005,"2004-02-09",40,4.7,15.7,24,100,5.62,9.8334105070402433]
[2005,"2004-02-10",41,6,13.9,24,100,4.7308333333333321,9.868863900216871]
[2005,"2004-02-11",42,4,12.6,24,100,4.682742047026295,9.9046291578805619]
[2005,"2004-02-12",43,6.5,12,24,100,11.766841286307036,9.9406922643579438]
[2005,"2004-02-13",44,4,14,24,100,9.6108333333333462,9.977039564486283]
[2005,"2004-02-14",45,5,14.2,24,100,4.96875,10.01365776442743]
[2005,"2004-02-15",46,3.5,14.1,24,100,4.996666666666651,10.050533931322962]
[2005,"2004-02-16",47,7,12.5,24,100,6.8141666666666652,10.08765549186297]
[2005,"2004-02-17",48,5,9.5,24,100,8.8287500000000136,10.125010229839786]
[2005,"2004-02-18",49,5.2,13.8,24,100,8.4454166666666506,10.162586282756633]
[2005,"2004-02-19",50,7,15.3,24,100,5.4754166666666606,10.200372137559318]
[2005,"2004-02-20",51,8,16.5,24,100,5.5395833333333639,10.238356625557145]
[2005,"2004-02-21",52,8,16,24,100,3.8066666666666529,10.276528916596916]
[2005,"2004-02-22",53,6,16.8,24,100,3.5808333333333167,10.314878512551502]
[2005,"2004-02-23",54,7.5,18.899999999999999,24,100,2.8200000000000123,10.353395240181891]
[2005,"2004-02-24",55,7,15.3,24,100,3.7037500000000136,10.392069243428853]
[2005,"2004-02-25",56,6.5,16.5,24,100,3.9895833333333335,10.430890975187717]
[2005,"2004-02-26",57,8,16.100000000000001,24,100,4.5024999999999791,10.469851188616872]
[2005,"2004-02-27",58,7,16.5,24,100,10.480833333333331,10.50894092802773]
[2005,"2004-02-28",59,11,15.4,24,100,14.155416666666687,10.5481515194012]
[2005,"2004-02-29",60,10.5,15.5,24,100,6.3462499999999791,10.587474560572758]
[2005,"2004-03-01",61,6,15.4,24,100,2.6791666666666742,10.626901911125529]
[2005,"2004-03-02",62,11,16,24,100,5.9008333333333285,10.666425682028059]
[2005,"2004-03-03",63,11,14.5,24,100,4.5075000000000118,10.706038225050877]
[2005,"2004-03-04",64,9.5,13.8,24,100,12.61,10.74573212199326]
[2005,"2004-03-05",65,9,12.5,24,100,7.6570833333333139,10.785500173749359]
[2005,"2004-03-06",66,6,13.5,24,100,8.0508333333333439,10.825335389240328]
[2005,"2004-03-07",67,11.8,15.1,24,100,9.8320833333333439,10.865230974236926]
[2005,"2004-03-08",68,12,16,24,100,5.71,10.905180320094937]
[2005,"2004-03-09",69,11.2,16.600000000000001,24,100,3.1616666666666711,10.945176992423736]
[2005,"2004-03-10",70,13.5,15.7,24,100,5.4683333333333239,10.985214719706445]
[2005,"2004-03-11",71,11.5,16,24,100,5.0766666666666724,11.025287381888315]
[2005,"2004-03-12",72,13,16.5,24,100,9.8112499999999727,11.06538899894845]
[2005,"2004-03-13",73,11.5,20,24,100,4.5329166666666652,11.1055137194683]
[2005,"2004-03-14",74,10,15,24,100,7.1150000000000091,11.14565580920916]
[2005,"2004-03-15",75,13.4,16.5,24,100,6.9920833333333503,11.185809639709436]
[2005,"2004-03-16",76,9.9,16.5,24,100,4.4366666666666861,11.225969676911523]
[2005,"2004-03-17",77,9,17,24,100,4.2745833333333394,11.266130469826873]
[2005,"2004-03-18",78,8,19.399999999999999,24,100,3.0195833333333062,11.30628663924718]
[2005,"2004-03-19",79,8.6,22.7,24,100,4.7945833333333212,11.346432866508605]
[2005,"2004-03-20",80,10,15.5,24,100,5.7345833333333003,11.386563882315459]
[2005,"2004-03-21",81,7,14.9,24,100,8.3329166666667334,11.426674455629096]
[2005,"2004-03-22",82,9,14,24,100,11.850416666666661,11.466759382627426]
[2005,"2004-03-23",83,8.5,14,24,100,9.9804166666666188,11.506813475739996]
[2005,"2004-03-24",84,8,16.5,24,100,4.0241666666666633,11.546831552763495]
[2005,"2004-03-25",85,7.5,15.7,24,100,4.0425000000000182,11.586808426062317]
[2005,"2004-03-26",86,10,15.8,24,100,4.0129166666666451,11.626738891858837]
[2005,"2004-03-27",87,9.5,21.5,24,100,7.1462500000000091,11.666617719618124]
[2005,"2004-03-28",88,14,21.2,24,100,4.998333333333373,11.706439641531992]
[2005,"2004-03-29",89,10,20.399999999999999,24,100,4.6983333333333421,11.74619934210755]
[2005,"2004-03-30",90,11.5,20,24,100,4.6537499999999996,11.785891447865787]
[2005,"2004-03-31",91,7.5,20.8,24,100,3.8729166666666672,11.825510517156172]
[2005,"2004-04-01",92,7.5,18.3,24,100,5.3425000000000002,11.865051030093809]
[2005,"2004-04-02",93,10,15.2,24,100,5.5966666666666685,11.904507378626283]
[2005,"2004-04-03",94,6.5,15.1,24,100,6.7583333333333302,11.943873856738071]
[2005,"2004-04-04",95,8,16,24,100,5.8458333333333359,11.983144650801151]
[2005,"2004-04-05",96,6.8,18.399999999999999,24,100,5.1312499999999996,12.022313830081401]
[2005,"2004-04-06",97,9,21.7,24,100,4.4479166666666616,12.06137533741113]
[2005,"2004-04-07",98,12,24.6,24,100,3.5337500000000071,12.100322980039374]
[2005,"2004-04-08",99,10,21.5,24,100,6.2829166666666652,12.139150420672401]
[2005,"2004-04-09",100,9.6999999999999993,22,24,100,2.1766666666666672,12.177851168718181]
[2005,"2004-04-10",101,10,24,24,100,5.6104166666666613,12.216418571749776]
[2005,"2004-04-11",102,11,13.2,24,100,8.2862500000000008,12.254845807203735]
[2005,"2004-04-12",103,8,16,24,100,7.7766666666666611,12.293125874331079]
[2005,"2004-04-13",104,7.9,15,24,100,5.491250000000008,12.331251586419624]
[2005,"2004-04-14",105,9,15.8,24,100,5.3354166666666556,12.369215563307927]
[2005,"2004-04-15",106,10,16.600000000000001,24,100,6.2945833333333399,12.407010224212437]
[2005,"2004-04-16",107,11.1,16.5,24,100,3.5358333333333385,12.444627780890956]
[2005,"2004-04-17",108,9,18.399999999999999,24,100,4.5470833333333376,12.482060231166907]
[2005,"2004-04-18",109,8,19.5,24,100,5.2458333333333185,12.519299352840342]
[2005,"2004-04-19",110,8,20.6,24,100,6.8220833333333344,12.556336698013093]
[2005,"2004-04-20",111,11,20.8,24,100,6.0695833333333367,12.593163587856868]
[2005,"2004-04-21",112,10.199999999999999,20.2,24,100,4.7541666666666629,12.629771107854426]
[2005,"2004-04-22",113,8,21.5,24,100,6.458333333333333,12.666150103545297]
[2005,"2004-04-23",114,7.5,16.5,24,100,7.5083333333333444,12.702291176808854]
[2005,"2004-04-24",115,8,16,24,100,7.4833333333333298,12.738184682718524]
[2005,"2004-04-25",116,10,16,24,100,5.3733333333333348,12.773820727002208]
[2005,"2004-04-26",117,9,17.5,24,100,6.1558333333333239,12.809189164144739]
[2005,"2004-04-27",118,12,18.2,24,100,5.25,12.84427959616915]
[2005,"2004-04-28",119,10,23.5,24,100,4.625,12.87908137213407]
[2005,"2004-04-29",120,10,23,24,100,8.6925000000000008,12.913583588385102]
[2005,"2004-04-30",121,10,18.5,24,100,13.25333333333333,12.947775089598212]
[2005,"2004-05-01",122,9.5,18,24,100,8.904166666666697,12.981644470653304]
[2005,"2004-05-02",123,10,18.5,24,100,8.0291666666666597,13.015180079375765]
[2005,"2004-05-03",124,10,18.5,24,100,8.6120833333333167,13.048370020183466]
[2005,"2004-05-04",125,10,17.5,24,100,11.078333333333338,13.081202158675669]
[2005,"2004-05-05",126,10,19.7,24,100,9.4450000000000127,13.113664127199435]
[2005,"2004-05-06",127,11,18.7,24,100,8.9037499999999827,13.145743331427401]
[2005,"2004-05-07",128,11,17.899999999999999,24,100,10.265000000000001,13.17742695797917]
[2005,"2004-05-08",129,10.1,17.8,24,100,10.569166666666661,13.208701983116191]
[2005,"2004-05-09",130,10.6,19,24,100,7.7058333333333167,13.239555182537471]
[2005,"2004-05-10",131,12.5,21.3,24,100,6.67,13.269973142300383]
[2005,"2004-05-11",132,11,25.7,24,100,5.9304166666666633,13.299942270887342]
[2005,"2004-05-12",133,12,26.7,24,100,6.2125000000000155,13.329448812435201]
[2005,"2004-05-13",134,11,27,24,100,6.0041666666666815,13.35847886113986]
[2005,"2004-05-14",135,8.5,22.3,24,100,5.4704166666666652,13.387018376843741]
[2005,"2004-05-15",136,12.9,29.3,24,100,7.9529166666666624,13.415053201808471]
[2005,"2004-05-16",137,19,26.5,24,100,5.6970833333333148,13.442569078669434]
[2005,"2004-05-17",138,13,26,24,100,6.9529166666666624,13.469551669562662]
[2005,"2004-05-18",139,16.5,30,24,100,7.4187500000000073,13.495986576407976]
[2005,"2004-05-19",140,18,27.8,24,100,6.0158333333333376,13.521859362325365]
[2005,"2004-05-20",141,13,27.5,24,100,5.7562500000000227,13.547155574154218]
[2005,"2004-05-21",142,14,30.5,24,100,5.802083333333333,13.571860766037501]
[2005,"2004-05-22",143,16,29,24,100,5.5812499999999545,13.595960524024973]
[2005,"2004-05-23",144,18,31,24,100,5.6366666666666942,13.619440491641571]
[2005,"2004-05-24",145,16,31.8,24,100,5.2200000000000273,13.642286396358715]
[2005,"2004-05-25",146,16,33,24,100,6.4287499999999609,13.6644840768981]
[2005,"2004-05-26",147,16.5,32.5,24,100,5.9120833333333094,13.686019511289039]
[2005,"2004-05-27",148,14.5,30,24,100,5.3879166666667215,13.706878845592346]
[2005,"2004-05-28",149,14.5,20.8,24,100,6.0674999999999573,13.7270484231955]
[2005,"2004-05-29",150,16.7,21.5,24,100,5.2900000000000391,13.746514814576043]
[2005,"2004-05-30",151,14,22.6,24,100,5.0616666666666488,13.765264847422689]
[2005,"2004-05-31",152,14,23,24,100,5.9275000000000091,13.783285636996483]
[2005,"2004-06-01",153,14,23,24,100,6.7508333333333512,13.800564616607907]
[2005,"2004-06-02",154,14,22.3,24,100,6.1337499999999636,13.81708956807986]
[2005,"2004-06-03",155,14,22.3,24,100,6.1337499999999636,13.832848652061408]
[2005,"2004-06-04",156,14,22.3,24,100,6.1337499999999636,13.847830438052723]
[2005,"2004-06-05",157,14,22.3,24,100,6.1337499999999636,13.862023933998351]
[2005,"2004-06-06",158,14,22.3,24,100,6.1337499999999636,13.875418615303476]
[2005,"2004-06-07",159,14,22.3,24,100,6.1337499999999636,13.888004453126467]
[2005,"2004-06-08",160,14,22.3,24,100,6.1337499999999636,13.899771941800855]
[2005,"2004-06-09",161,14,22.3,24,100,6.1337499999999636,13.910712125240787]
[2005,"2004-06-10",162,14,22.3,24,100,6.1337499999999636,13.92081662218617]
[2005,"2004-06-11",163,14,22.3,24,100,6.1337499999999636,13.93007765014721]
[2005,"2004-06-12",164,14,22.3,24,100,6.1337499999999636,13.938488047912635]
[2005,"2004-06-13",165,14,22.3,24,100,6.1337499999999636,13.946041296491872]
[2005,"2004-06-14",166,14,22.3,24,100,6.1337499999999636,13.952731538368507]
[2005,"2004-06-15",167,14,22.3,24,100,6.1337499999999636,13.958553594950727]
[2005,"2004-06-16",168,14,22.3,24,100,6.1337499999999636,13.963502982113816]
[2005,"2004-06-17",169,14,22.3,24,100,6.1337499999999636,13.967575923740249]
[2005,"2004-06-18",170,14,22.3,24,100,6.1337499999999636,13.970769363174353]
[2005,"2004-06-19",171,14,22.3,24,100,6.1337499999999636,13.973080972520764]
[2005,"2004-06-20",172,14,22.3,24,100,6.1337499999999636,13.974509159728882]
[2005,"2004-06-21",173,14,22.3,24,100,6.1337499999999636,13.975053073419152]
[2005,"2004-06-22",174,14,22.3,24,100,6.1337499999999636,13.974712605421031]
[2005,"2004-06-23",175,14,22.3,24,100,6.1337499999999636,13.973488391006866]
[2005,"2004-06-24",176,14,22.3,24,100,6.1337499999999636,13.971381806820483]
[2005,"2004-06-25",177,14,22.3,24,100,6.1337499999999636,13.968394966513785]
[2005,"2004-06-26",178,14,22.3,24,100,6.1337499999999636,13.964530714119077]
[2005,"2004-06-27",179,14,22.3,24,100,6.1337499999999636,13.959792615198994]
[2005,"2004-06-28",180,14,22.3,24,100,6.1337499999999636,13.95418494582948]
[2005,"2004-06-29",181,14,22.3,24,100,6.1337499999999636,13.947712679484418]
[2005,"2004-06-30",182,14,22.3,24,100,6.1337499999999636,13.940381471902912]
[2005,"2004-07-01",183,14,22.3,24,100,6.1337499999999636,13.932197644031643]
[2005,"2004-07-02",184,14,22.3,24,100,6.1337499999999636,13.923168163145471]
[2005,"2004-07-03",185,14,22.3,24,100,6.1337499999999636,13.913300622258932]
[2005,"2004-07-04",186,14,22.3,24,100,6.1337499999999636,13.902603217949732]
[2005,"2004-07-05",187,14,22.3,24,100,6.1337499999999636,13.891084726722751]
[2005,"2004-07-06",188,14,22.3,24,100,6.1337499999999636,13.878754480049011]
[2005,"2004-07-07",189,14,22.3,24,100,6.1337499999999636,13.865622338219001]
[2005,"2004-07-08",190,14,22.3,24,100,6.1337499999999636,13.851698663153346]
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["Ano","Data ","Dia do Ano","Tmin","Tmax","HRmin","HRmax","Vento","Insolação real","Rad. Global","ET","Rn","Gama","Declive","es","ea","U2","S0","Sc","St","Duração do dia"]
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[2005,"2004-01-02",2]
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[2005,"2004-01-08",8]
[2005,"2004-01-09",9]
[2005,"2004-01-10",10]
[2005,"2004-01-11",11]
[2005,"2004-01-12",12]
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[2005,"2004-06-07",159,14,22.3,24,100,6.1337499999999636,13.888004453126467,null,5.1428738406311867,16.804857515481388,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.674845005457399,31.297808599098506,30.214262628956615,14.618952055922597]
[2005,"2004-06-08",160,14,22.3,24,100,6.1337499999999636,13.899771941800855,null,5.1479935305223172,16.826627018014843,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.713840979543292,31.327094575637012,30.242534710168886,14.631338886106164]
[2005,"2004-06-09",161,14,22.3,24,100,6.1337499999999636,13.910712125240787,null,5.1526985364815889,16.846633237400855,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.749678363127735,31.354008450708928,30.268516813267606,14.642854868674513]
[2005,"2004-06-10",162,14,22.3,24,100,6.1337499999999636,13.92081662218617,null,5.156988753826746,16.864875728518584,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.782356358860341,31.378549625504117,30.292208360173746,14.653491181248601]
[2005,"2004-06-11",163,14,22.3,24,100,6.1337499999999636,13.93007765014721,null,5.1608641235959825,16.881354240655739,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.811874517637158,31.400717762745504,30.313609025286937,14.663239631733905]
[2005,"2004-06-12",164,14,22.3,24,100,6.1337499999999636,13.938488047912635,null,5.1643246326293033,16.896068717854533,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.838232739220302,31.420512787154447,30.332718735934719,14.6720926820133]
[2005,"2004-06-13",165,14,22.3,24,100,6.1337499999999636,13.946041296491872,null,5.1673703136421736,16.90901929922483,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.861431272798988,31.437934885872039,30.349537672779267,14.680043469991444]
[2005,"2004-06-14",166,14,22.3,24,100,6.1337499999999636,13.952731538368507,null,5.170001245282255,16.920206319185418,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.881470717421621,31.452984508783636,30.364066270130674,14.687085829861587]
[2005,"2004-06-15",167,14,22.3,24,100,6.1337499999999636,13.958553594950727,null,5.1722175521605154,16.92963030759628,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.898352022232842,31.465662368696865,30.376305216118809,14.693214310474451]
[2005,"2004-06-16",168,14,22.3,24,100,6.1337499999999636,13.963502982113816,null,5.1740194048487842,16.937291989748186,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.912076486454794,31.47596944132755,30.386255452679723,14.698424191698754]
[2005,"2004-06-17",169,14,22.3,24,100,6.1337499999999636,13.967575923740249,null,5.1754070198364586,16.943192286178636,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.922645759057481,31.483906965052167,30.393918175316674,14.702711498673947]
[2005,"2004-06-18",170,14,22.3,24,100,6.1337499999999636,13.970769363174353,null,5.1763806594400794,16.94733231228733,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.930061838069918,31.489476440390508,30.399294832600688,14.706073013867741]
[2005,"2004-06-19",171,14,22.3,24,100,6.1337499999999636,13.973080972520764,null,5.1769406316603002,16.94971337772801,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.934327069490749,31.492679629187553,30.402387125380791,14.708506286863964]
[2005,"2004-06-20",172,14,22.3,24,100,6.1337499999999636,13.974509159728882,null,5.1770872899818432,16.950336985557833,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.935444145764507,31.493518553469144,30.403197005679267,14.710009641819877]
[2005,"2004-06-21",173,14,22.3,24,100,6.1337499999999636,13.975053073419152,null,5.1768210331130859,16.949204831130082,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.933416103798095,31.49199549395237,30.401726675253617,14.710582182546476]
[2005,"2004-06-22",174,14,22.3,24,100,6.1337499999999636,13.974712605421031,null,5.1761423046629833,16.94631880072038,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.928246322499923,31.488112988197443,30.397978583812442,14.710223795180033]
[2005,"2004-06-23",175,14,22.3,24,100,6.1337499999999636,13.973488391006866,null,5.1750515927541869,16.941680969881652,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.919938519833146,31.481873828394694,30.391955426879029,14.70893514842828]
[2005,"2004-06-24",176,14,22.3,24,100,6.1337499999999636,13.971381806820483,null,5.1735494295723639,16.935293601527757,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.90849674938282,31.473281058786498,30.383660143302542,14.706717691389983]
[2005,"2004-06-25",177,14,22.3,24,100,6.1337499999999636,13.968394966513785,null,5.1716363908528242,16.927159143750583,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.893925396445653,31.462337972730687,30.373095912423096,14.703573648961878]
[2005,"2004-06-26",178,14,22.3,24,100,6.1337499999999636,13.964530714119077,null,5.1693130953067206,16.917280227380182,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.876229173659439,31.449048109418239,30.360266150903094,14.699506014862187]
[2005,"2004-06-27",179,14,22.3,24,100,6.1337499999999636,13.959792615198994,null,5.166580203990188,16.90565966330227,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.855413116197887,31.433415250264613,30.345174509243467,14.694518542314732]
[2005,"2004-06-28",180,14,22.3,24,100,6.1337499999999636,13.95418494582948,null,5.1634384196208227,16.892300439551832,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.831482576564326,31.41544341499981,30.327824868009134,14.688615732452085]
[2005,"2004-06-29",181,14,22.3,24,100,6.1337499999999636,13.947712679484418,null,5.1598884858469463,16.877205718205939,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.804443219025778,31.39513685748836,30.308221333793689,14.681802820509915]
[2005,"2004-06-30",182,14,22.3,24,100,6.1337499999999636,13.940381471902912,null,5.1559311864759936,16.860378832102768,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.77430101373573,31.372500061315534,30.286368234958402,14.674085759897803]
[2005,"2004-07-01",183,14,22.3,24,100,6.1337499999999636,13.932197644031643,null,5.1515673446693082,16.841823281417792,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.741062230600974,31.34753773518133,30.262270117185704,14.665471204243834]
[2005,"2004-07-02",184,14,22.3,24,100,6.1337499999999636,13.923168163145471,null,5.1467978221113295,16.821542730131046,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.704733432953418,31.320254808148018,30.235931738891228,14.65596648752155]
[2005,"2004-07-03",185,14,22.3,24,100,6.1337499999999636,13.913300622258932,null,5.1416235181619045,16.799541002422693,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.665321471093407,31.290656424791148,30.207358066542717,14.645579602377824]
[2005,"2004-07-04",186,14,22.3,24,100,6.1337499999999636,13.902603217949732,null,5.1360453690010575,16.775822079036445,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.622833475775451,31.258747940307362,30.176554269937203,14.634319176789193]
[2005,"2004-07-05",187,14,22.3,24,100,6.1337499999999636,13.891084726722751,null,5.1300643467759794,16.750390093652516,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.57727685171109,31.224534915635029,30.14352571749054,14.622194449181844]
[2005,"2004-07-06",188,14,22.3,24,100,6.1337499999999636,13.878754480049011,null,5.1236814587604709,16.723249329313425,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.528659271166376,31.188023112645947,30.108277971595619,14.609215242156855]
[2005,"2004-07-07",189,14,22.3,24,100,6.1337499999999636,13.865622338219001,null,5.1168977465372461,16.694404214947113,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.476988667733664,31.14921848946798,30.070816784106906,14.59539193496737]
[2005,"2004-07-08",190,14,22.3,24,100,6.1337499999999636,13.851698663153346,null,5.1097142852137596,16.663859322032494,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.422273230358613,31.10812719599932,30.031148092009992,14.58073543489826]
[2005,"2004-07-09",191,14,22.3,24,100,6.1337499999999636,13.83699429031612,null,5.102132182682185,16.631619361452852,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.364521397703633,31.06475556967543,29.989278013335134,14.56525714770118]
[2005,"2004-07-10",192,14,22.3,24,100,6.1337499999999636,13.821520499877249,null,5.0941525789341835,16.597689180582126,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.303741852928489,31.019110131549294,29.945212843373152,14.54896894723921]
[2005,"2004-07-11",193,14,22.3,24,100,6.1337499999999636,13.805288987270481,null,5.0857766454408768,16.562073760648488,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.23994351896765,30.971197582744704,29.898959051251545,14.531883144495245]
[2005,"2004-07-12",194,14,22.3,24,100,6.1337499999999636,13.78831183329206,null,5.0770055846082167,16.524778214418536,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.173135554381979,30.921024801340867,29.850523276926932,14.514012456096905]
[2005,"2004-07-13",195,14,22.3,24,100,6.1337499999999636,13.770601473883133,null,5.0678406293175833,16.485807784243825,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,41.103327349859427,30.868598839744429,29.799912328648084,14.495369972508561]
[2005,"2004-07-14",196,15,30,30,90,14.4,13.752170669735559,null,6.9307497365599202,16.662294803408283,6.697239125880361E-2,0.16531921875,2.9735267294816259,1.4033107287150446,2.9918043006717765,41.030528525436154,30.813926922602551,29.747133180941212,14.47596912603743]
[2005,"2004-07-15",197,14,22.3,24,100,6.1337499999999636,13.733032475856625,null,5.0483341171794089,16.402863880522908,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.954748928505353,30.757016445307521,29.692192973166382,14.455823658796447]
[2005,"2004-07-16",198,14,22.3,24,100,6.1337499999999636,13.713200211223171,null,5.0379951757135766,16.358901527876586,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.87599863267674,30.69787497314023,29.635099008690634,14.434947590761233]
[2005,"2004-07-17",199,14,22.3,24,100,6.1337499999999636,13.69268742864981,null,5.0272675703729277,16.313286532318799,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.794287937544112,30.636510241095628,29.575858754719484,14.413355188052432]
[2005,"2004-07-18",200,14,22.3,24,100,6.1337499999999636,13.671507884989513,null,5.0161526831314536,16.266024770159817,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.709627369413383,30.57293015442945,29.514479842824702,14.391060931567909]
[2005,"2004-07-19",201,14,22.3,24,100,6.1337499999999636,13.649675511777907,null,5.0046519259554234,16.217122245240486,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.622027683037501,30.507142789961165,29.450970070202189,14.368079486082008]
[2005,"2004-07-20",202,14,22.3,24,100,6.1337499999999636,13.627204386425136,null,4.9927667411686034,16.166585090485174,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.531499864398349,30.43915639816316,29.385337401688801,14.344425669921197]
[2005,"2004-07-21",203,14,22.3,24,100,6.1337499999999636,13.604108704051324,null,4.9804986019594315,16.114419570058331,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.438055134569701,30.368979406061847,29.317589972563031,14.320114425317184]
[2005,"2004-07-22",204,14,22.3,24,100,6.1337499999999636,13.580402750053786,null,4.9678490130337103,16.060632082139826,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.341704954688808,30.296620420971294,29.247736092149385,14.295160789530302]
[2005,"2004-07-23",205,14,22.3,24,100,6.1337499999999636,13.55610087348566,null,4.9548195114155913,16.005229162330814,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.242461032057349,30.22208823507507,29.175784248241577,14.26957986682701]
[2005,"2004-07-24",206,14,22.3,24,100,6.1337499999999636,13.531217461317556,null,4.9414116673987527,15.948217487698253,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.140335327386396,30.145391830867183,29.101743112355138,14.243386801386903]
[2005,"2004-07-25",207,14,22.3,24,100,6.1337499999999636,13.505766913645369,null,4.9276270856488029,15.889603881462445,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,40.035340063193281,30.066540387458154,29.025621545815127,14.216596751205651]
[2005,"2004-07-26",208,14,22.3,24,100,6.1337499999999636,13.479763619899181,null,4.9134674064571078,15.829395318328462,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,39.927487733351839,29.98554328774723,28.947428606680081,14.18922486305177]
[2005,"2004-07-27",209,14,22.3,24,100,6.1337499999999636,13.453221936100142,null,4.8989343071454323,15.767598930458842,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,39.816791113791389,29.902410126457333,28.867173557498756,14.161286248526466]
[2005,"2004-07-28",210,14,22.3,24,100,6.1337499999999636,13.426156163204224,null,4.8840295036200168,15.704222014081672,6.697239125880361E-2,0.13062400622624998,2.1445292066541843,1.1217257747267033,1.2743735853642639,39.703263274333857,29.817150719024728,28.784865873892045,14.132795961267606]

{"sheet":"Calculos","index":3,"n_rows":440,"n_cols":15,"rows_kept":440,"cut":false,"hidden":true,"merged":[]}
[]
["I - Time",null,null,null,"Convenções:",null,"Latitude & declination are positive in the Northern Hemisphere and negative in the southern"]
["t_i = integer part (t)",null,null,null,null,null,"LC is positive when easthern of the the standard meridian and vice versa"]
["t_d = decimal part (t)",null,null,null,null,null,"Longitude is positive east of Greenwich and hour angle is positive in the afternoon"]
[]
["Ex:",null,null,null,"Conversions of itme:",null,null,"True Solar Time (Tt)  or  Local Apparent Time is the time on a sun-dial set at 12 when the sun 'crosses the meridian'; Tt=Tu-L/15+ET(in minutes)/60"]
["t =",16.239999999999998,null,null,null,null,null,"Local mean time (Tlm) is the value of the Tt after subtraction of the ET correction; Tlm = [Tls-L-Lo)/15]"]
["t_i =",16,null,null,null,null,null,"Local Standard Time (Tls)=Tu-Lo/15, where Lo is the longitude of the standard meridian defining the standard time zone"]
["t_d =",0.24]
["This is the t_i +1 = 17 th day"]
[]
["Julian day (1 March = 1)"]
["Day of the Year (1 Jan = 1)"]
[]
[]
["Year angle y is given by",null,null,null,null,"or"]
[]
[]
["F3(declinação)=",null,"(0.38092-0.76996*COS(D25)+23.265*SIN(D25)+0.36958*COS(2*D25)+0.10868*SIN(2*D25)+0.01834*COS(3*D25)-0.1665*SIN(3*D25)-0.00392*COS(4*D25)+0.00072*SIN(4*D25)-0.00051*COS(5*D25)+0.0025*SIN(5*D25)+0.00442*COS(6*D25))*PI()/180"]
["F4(declinação)=",null,"ASIN(0.39785*SIN(4.869+0.0172*C25+0.03345*SIN(6.224+0.0172*C25)))"]
[]
["Ex.","(F1 e F2 dão resultados equivalentes, quando se utilizana F3)"]
["Dia",null,null,"F 1","F2","F3","F4"]
[null,"Julian","Year","y(radians)","y(radians)","Declinacao","Declinacao","Y(rad)","Declinacao "]
["1993-01-01",{"$f":"1+307","v":308},1,{"$f":"(B25-21)/365*2*PI()","v":4.9404772141384692},{"$f":"(279.575+0.986*C25)*PI()/180","v":4.8967132026878106},{"$f":"(0.38092-0.76996*COS(D25)+23.265*SIN(D25)+0.36958*COS(2*D25)+0.10868*SIN(2*D25)+0.01834*COS(3*D25)-0.1665*SIN(3*D25)-0.00392*COS(4*D25)+0.00072*SIN(4*D25)-0.00051*COS(5*D25)+0.0025*SIN(5*D25)+0.00442*COS(6*D25))*PI()/180","v":-0.40107884740346406},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*C25+0.03345*SIN(6.224+0.0172*C25)))","v":-0.40275213543200411},{"$f":" (C25 - 1) * 2 * PI() / 365","v":0},{"$f":" (0.006918 - 0.399912 * COS(H25) + 0.070257 * SIN(H25) - 0.006758 * COS(2 * H25) + 0.000907 * SIN(2 * H25) - 0.002697 * COS(3 * H25) + 0.00148 * SIN(3 * H25))","v":-0.402449},{"$f":"F25*180/PI()","v":-22.980125208190067},{"$f":"G25*180/PI()","v":-23.075997550135181},{"$f":"I25*180/PI()","v":-23.058629169260467}]
["1993-01-20",{"$f":"B25+(A26-A25)","v":327},{"$f":"C25+(A26-A25)","v":20},{"$f":"(B26-21)/365*2*PI()","v":5.2675471342382281},{"$f":"(279.575+0.986*C26)*PI()/180","v":5.2236831847564282},{"$f":"(0.38092-0.76996*COS(D26)+23.265*SIN(D26)+0.36958*COS(2*D26)+0.10868*SIN(2*D26)+0.01834*COS(3*D26)-0.1665*SIN(3*D26)-0.00392*COS(4*D26)+0.00072*SIN(4*D26)-0.00051*COS(5*D26)+0.0025*SIN(5*D26)+0.00442*COS(6*D26))*PI()/180","v":-0.34994856371679944},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*C26+0.03345*SIN(6.224+0.0172*C26)))","v":-0.35460450265915677},{"$f":" (C26 - 1) * 2 * PI() / 365","v":0.32706992009975927},{"$f":" (0.006918 - 0.399912 * COS(H26) + 0.070257 * SIN(H26) - 0.006758 * COS(2 * H26) + 0.000907 * SIN(2 * H26) - 0.002697 * COS(3 * H26) + 0.00148 * SIN(3 * H26))","v":-0.35430283859838579},{"$f":"F26*180/PI()","v":-20.050575747637581},-20.317341398705263,{"$f":"I26*180/PI()","v":-20.300057321192305}]
["1993-06-19",{"$f":"A27-A25-59","v":110},{"$f":"C26+(A27-A26)","v":170},{"$f":"(B27-21)/365*2*PI()","v":1.5320643625725567},{"$f":"(279.575+0.986*C27)*PI()/180","v":7.8050251484560409},{"$f":"(0.38092-0.76996*COS(D27)+23.265*SIN(D27)+0.36958*COS(2*D27)+0.10868*SIN(2*D27)+0.01834*COS(3*D27)-0.1665*SIN(3*D27)-0.00392*COS(4*D27)+0.00072*SIN(4*D27)-0.00051*COS(5*D27)+0.0025*SIN(5*D27)+0.00442*COS(6*D27))*PI()/180","v":0.40833577236522606},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*C27+0.03345*SIN(6.224+0.0172*C27)))","v":0.40858969018956237},{"$f":" (C27 - 1) * 2 * PI() / 365","v":2.9092008682557537},{"$f":" (0.006918 - 0.399912 * COS(H27) + 0.070257 * SIN(H27) - 0.006758 * COS(2 * H27) + 0.000907 * SIN(2 * H27) - 0.002697 * COS(3 * H27) + 0.00148 * SIN(3 * H27))","v":0.40883055987602729},23.395916380742165,23.410464800419781,{"$f":"I27*180/PI()","v":23.424265616866862}]
["1993-12-16",{"$f":"A28-A27+B27+1","v":291},{"$f":"C27+(A28-A27)","v":350},{"$f":"(B28-21)/365*2*PI()","v":4.6478357066807892},{"$f":"(279.575+0.986*C28)*PI()/180","v":10.902635504895576},{"$f":"(0.38092-0.76996*COS(D28)+23.265*SIN(D28)+0.36958*COS(2*D28)+0.10868*SIN(2*D28)+0.01834*COS(3*D28)-0.1665*SIN(3*D28)-0.00392*COS(4*D28)+0.00072*SIN(4*D28)-0.00051*COS(5*D28)+0.0025*SIN(5*D28)+0.00442*COS(6*D28))*PI()/180","v":-0.40681179938276046},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*C28+0.03345*SIN(6.224+0.0172*C28)))","v":-0.40620069406830422},{"$f":" (C28 - 1) * 2 * PI() / 365","v":6.0077580060429474},{"$f":" (0.006918 - 0.399912 * COS(H28) + 0.070257 * SIN(H28) - 0.006758 * COS(2 * H28) + 0.000907 * SIN(2 * H28) - 0.002697 * COS(3 * H28) + 0.00148 * SIN(3 * H28))","v":-0.40617693418024603},-23.308599160754923,-23.273585405398567,{"$f":"I28*180/PI()","v":-23.272224064091127}]
[]
["conclusão: preferir f2 e f4 (mais simples e rigor semelhante)"]
[]
["The zenith angle is "]
[]
[]
[]
[]
[]
[]
["t_o =","12-LC -ET","wehre LC is the longitude correction and ET is the equation of time"]
[]
["LC is +4 min or +1/15hour correction for each degree you are east of the standard meridian and -1/15 hour for each degree you are west of the standard meridian."]
[null,"Standard meridians are at 0, 15, 30,..345 degrees"]
[]
["Ex. (tapada lat. = 38 degrees and42 ' and long. 9 degrees and 11' )."]
["LC =",{"$f":"-1/15*(9+11/60)","v":-0.61222222222222222},"hour"]
[]
[]
[]
["wherey is given by F2"]
[]
["Ex. "]
[]
["1993-01-01","Year nº","F2 (=y)","ET(hour)","Y(rad)","ET(h)"]
["1993-01-20",20,{"$f":"(279.575+0.986*B54)*PI()/180","v":5.2236831847564282},{"$f":"(-104.7*SIN(C54)+596.2*SIN(2*C54)+4.3*SIN(3*C54)-12.7*SIN(4*C54)-429.3*COS(C54)-2*COS(2*C54)+19.3*COS(3*C54))/3600","v":-0.18249036387298534},{"$f":" (B54 - 1) * 2 * PI() / 365","v":0.32706992009975927},{"$f":" (0.000075 + 0.001868 * COS(E54) - 0.032077 * SIN(E54) - 0.014615 * COS(2 * E54) - 0.04089 * SIN(2 * E54)) * (3.8197)","v":-0.17165755520032575}]
["1993-06-19",{"$f":"A55-$A$53+1","v":170},{"$f":"(279.575+0.986*B55)*PI()/180","v":7.8050251484560409},{"$f":"(-104.7*SIN(C55)+596.2*SIN(2*C55)+4.3*SIN(3*C55)-12.7*SIN(4*C55)-429.3*COS(C55)-2*COS(2*C55)+19.3*COS(3*C55))/3600","v":-1.9421460733239221E-2},{"$f":" (B55 - 1) * 2 * PI() / 365","v":2.9092008682557537},{"$f":" (0.000075 + 0.001868 * COS(E55) - 0.032077 * SIN(E55) - 0.014615 * COS(2 * E55) - 0.04089 * SIN(2 * E55)) * (3.8197)","v":-1.4770102064833352E-2}]
["1993-12-16",{"$f":"A56-$A$53+1","v":350},{"$f":"(279.575+0.986*B56)*PI()/180","v":10.902635504895576},{"$f":"(-104.7*SIN(C56)+596.2*SIN(2*C56)+4.3*SIN(3*C56)-12.7*SIN(4*C56)-429.3*COS(C56)-2*COS(2*C56)+19.3*COS(3*C56))/3600","v":7.5082499116863738E-2},{"$f":" (B56 - 1) * 2 * PI() / 365","v":6.0077580060429474},{"$f":" (0.000075 + 0.001868 * COS(E56) - 0.032077 * SIN(E56) - 0.014615 * COS(2 * E56) - 0.04089 * SIN(2 * E56)) * (3.8197)","v":7.4658123546599314E-2}]
[]
[null,"For Tapada and days above"]
["t_o=",{"$f":"12-$B$45-D54","v":12.794712586095207}]
[null,{"$f":"12-$B$45-D55","v":12.631643682955461}]
[null,{"$f":"12-$B$45-D56","v":12.537139723105359}]
[]
[]
["Day length can be found by F5, i. e.:"]
["Lat. rad=",{"$f":"(38+42/60)*PI()/180","v":0.67544242052180559}]
[null,null,null,null,null,null,null,"(rad)","(hours)"]
["1993-01-01","Year nº","F2 (=y)","ET(hour)","LC(hour)","t_0","Declinação","Half day lenght",null,"time of sunrise"]
["1993-01-20",{"$f":"A68-$A$53+1","v":20},{"$f":"(279.575+0.986*B68)*PI()/180","v":5.2236831847564282},{"$f":"(-104.7*SIN(C68)+596.2*SIN(2*C68)+4.3*SIN(3*C68)-12.7*SIN(4*C68)-429.3*COS(C68)-2*COS(2*C68)+19.3*COS(3*C68))/3600","v":-0.18249036387298534},{"$f":"-1/15*(9+11/60)","v":-0.61222222222222222},{"$f":"12-E68-D68","v":12.794712586095207},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*B68+0.03345*SIN(6.224+0.0172*B68)))","v":-0.35460450265915677},{"$f":"ACOS((-0.1-SIN($B$65)*SIN(G68))/(COS($B$65)*COS(G68)))","v":1.4101106102979337},{"$f":"H68*24/(2*PI())","v":5.386225774445891},{"$f":"F68-I68","v":7.4084868116493157},null,null,"In the example, latitude is [38 º 43' N = (38+43/60)*PI()/180 radians] and longitude correction (LC) is 1/5*(-9) hours, since longitude is 9º west"]
["1993-06-19",{"$f":"A69-$A$53+1","v":170},{"$f":"(279.575+0.986*B69)*PI()/180","v":7.8050251484560409},{"$f":"(-104.7*SIN(C69)+596.2*SIN(2*C69)+4.3*SIN(3*C69)-12.7*SIN(4*C69)-429.3*COS(C69)-2*COS(2*C69)+19.3*COS(3*C69))/3600","v":-1.9421460733239221E-2},{"$f":"-1/15*(9+11/60)","v":-0.61222222222222222},{"$f":"12-E69-D69","v":12.631643682955461},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*B69+0.03345*SIN(6.224+0.0172*B69)))","v":0.40858969018956237},{"$f":"ACOS((-0.1-SIN($B$65)*SIN(G69))/(COS($B$65)*COS(G69)))","v":2.0788653707773133},{"$f":"H69*24/(2*PI())","v":7.9406807947626046},{"$f":"F69-I69","v":4.6909628881928569}]
["1993-12-16",{"$f":"A70-$A$53+1","v":350},{"$f":"(279.575+0.986*B70)*PI()/180","v":10.902635504895576},{"$f":"(-104.7*SIN(C70)+596.2*SIN(2*C70)+4.3*SIN(3*C70)-12.7*SIN(4*C70)-429.3*COS(C70)-2*COS(2*C70)+19.3*COS(3*C70))/3600","v":7.5082499116863738E-2},{"$f":"-1/15*(9+11/60)","v":-0.61222222222222222},{"$f":"12-E70-D70","v":12.537139723105359},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*B70+0.03345*SIN(6.224+0.0172*B70)))","v":-0.40620069406830422},{"$f":"ACOS((-0.1-SIN($B$65)*SIN(G70))/(COS($B$65)*COS(G70)))","v":1.3642223449347135},{"$f":"H70*24/(2*PI())","v":5.2109455121466324},{"$f":"F70-I70","v":7.3261942109587261}]
[null,null,null,null,null,{"$f":"IF(UPPER(#REF!)=\"N\",1,IF(UPPER(#REF!)=\"S\",-1,\"erro\"))","v":{"$error":"#REF!"}},{"$f":"IF(UPPER(#REF!)=\"E\",1,IF(UPPER(#REF!)=\"O\",-1,\"erro!\"))","v":{"$error":"#REF!"}},{"$f":"IF(UPPER(#REF!)=\"E\",1,IF(UPPER(#REF!)=\"O\",-1,\"erro!\"))","v":{"$error":"#REF!"}},{"$f":"(#REF!+#REF!/60+#REF!/3600)*Calculos!G71","v":{"$error":"#REF!"}}]
[null,null,null,null,"Lat=",{"$f":"(#REF!+#REF!/60+#REF!/3600)*PI()/180*F71","v":{"$error":"#REF!"}},"Civil Twi.","Civil Twi.","Civil Twi."]
["1992-01-01",1,"\"=\"1 Jan 00h, 1992",null,"LC=",{"$f":"1/15*(I71-#REF!*H71)","v":{"$error":"#REF!"}},"(rad)","(hours)","(hours)","(hours)","(rad)","(hours)","(hours)","(hours)","So (radiation on top of the atmos. on a horzontal surface in a day)"]
["Day","Day","y","ET","t_0","Declinação","Half day lenght",null,"Time of first twilight","Correction ","Half day lenght",null,"Time Sunrise","Time Sunset","MJ/m-2/day"]
[{"$f":"A73","v":"1992-01-01"},1,{"$f":"(279.575+0.986*B75)*PI()/180","v":4.8967132026878106},{"$f":"(-104.7*SIN(C75)+596.2*SIN(2*C75)+4.3*SIN(3*C75)-12.7*SIN(4*C75)-429.3*COS(C75)-2*COS(2*C75)+19.3*COS(3*C75))/3600","v":-5.6597312144848588E-2},{"$f":"12-D75-$F$73","v":{"$error":"#REF!"}},{"$f":"ASIN(0.39785*SIN(4.869+0.0172*B75+0.03345*SIN(6.224+0.0172*B75)))","v":-0.40275213543200411},{"$f":"ACOS((-0.1-SIN($F$72)*SIN(F75))/(COS($F$72)*COS(F75)))","v":{"$error":"#REF!"}},{"$f":"G75*24/(2*PI())","v":{"$error":"#REF!"}},{"$f":"E75-H75","v":{"$error":"#REF!"}},{"$f":"-(E75-12)","v":{"$error":"#REF!"}},{"$f":"ACOS((-SIN($F$72)*SIN(F75))/(COS($F$72)*COS(F75)))","v":{"$error":"#REF!"}},{"$f":"K75*24/(2*PI())","v":{"$error":"#REF!"}},{"$f":"E75-L75","v":{"$error":"#REF!"}},{"$f":"M75+2*L75","v":{"$error":"#REF!"}},{"$f":"117.5*(K75*SIN($F$72)*SIN(F75)+COS($F$72)*COS(F75)*SIN(K75))/PI()","v":{"$error":"#REF!"}}]
[{"$f":"A75+1","v":"1992-01-02"},2,4.9139221491124738,-6.4434586929326076E-2,{"$error":"#REF!"},-0.40136660054867301,{"$error":"#REF!"},{"$error":"#REF!"},{"$f":"E76-H76","v":{"$error":"#REF!"}},{"$error":"#REF!"},{"$f":"ACOS((-SIN($F$72)*SIN(F76))/(COS($F$72)*COS(F76)))","v":{"$error":"#REF!"}},{"$error":"#REF!"},{"$f":"E76-L76","v":{"$error":"#REF!"}},{"$f":"M76+2*L76","v":{"$error":"#REF!"}},{"$error":"#REF!"}]
["1992-01-03",3,4.9311310955371397,-7.2179334018595206E-2,{"$error":"#REF!"},-0.39984785278118928,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-04",4,4.9483400419618038,-7.9823295605186487E-2,{"$error":"#REF!"},-0.39819663564725893,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-05",5,4.965548988386467,-8.735838864392341E-2,{"$error":"#REF!"},-0.39641375813768204,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-06",6,4.9827579348111311,-9.4776717380130465E-2,{"$error":"#REF!"},-0.39450009340876813,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-07",7,4.9999668812357951,-0.10207058540121917,{"$error":"#REF!"},-0.39245657738578776,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-08",8,5.0171758276604592,-0.1092325071841453,{"$error":"#REF!"},-0.39028420728330837,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-09",9,5.0343847740851242,-0.11625521911302633,{"$error":"#REF!"},-0.38798404004851311,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-10",10,5.0515937205097874,-0.1231316899431056,{"$error":"#REF!"},-0.38555719073379457,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-11",11,5.0688026669344515,-0.12985513068921548,{"$error":"#REF!"},-0.38300483080507414,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-12",12,5.0860116133591156,-0.13641900391890655,{"$error":"#REF!"},-0.38032818639240801,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-13",13,5.1032205597837796,-0.14281703243251981,{"$error":"#REF!"},-0.37752853648951484,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-14",14,5.1204295062084437,-0.14904320731459814,{"$error":"#REF!"},-0.37460721110888284,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-15",15,5.1376384526331078,-0.15509179534321915,{"$error":"#REF!"},-0.37156558939911261,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-16",16,5.1548473990577719,-0.16095734574603882,{"$error":"#REF!"},-0.3684050977310952,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
["1992-01-17",17,5.172056345482436,-0.16663469629406391,{"$error":"#REF!"},-0.36512720775954344,{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"},{"$error":"#REF!"}]
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