aqualatitude3.sagews

from scipy.constants import sigma     #importamos la constante de Stefan-Boltzmann
a = 0.1
C = 250                         #Calor específico en W/m²
S = (1-a)*1361                          #Flujo solar perpendicual a la superficie = (1-a)*1361 W/m² donde a es el albedo

temp = []                             #Lista donde guardamos los valores de temperatura
flux = []                             #Lista donde guardamos los valores de flujo

temp.append(300)                      #Asignamos el primer valor de la temperatura del punto con el sol encima al valor de equilibrio con el flujo S
flux.append(S)                        #Asignamos el primer valor del punto con el sol incidiendo perpendicularmente con flujo S
temp2=300                             #Asignamos el primer valor de la temperatura del punto con el sol encima al valor de equilibrio con el flujo S
step=1                                #Valor del paso igual a 1 hora

latitud = 35/90*pi/2                        #introducimos la latitud

for jj in range(200):                 #Número de ciclos evaluados para convergencia de temperaturas.
    
    for i in range(6):                                 #Primera iteración correspondiente a a la rotación desde el mediodía solar hasta la puesta
        temp1=temp2
        Si=S*cos(2*pi*(i+1)/24)*cos(latitud)                        #flujo incidente con el ángulo correspondiente de rotación
        temp2 = temp1+1/C*(Si-sigma*temp1^4)           #Balance energético para calcular la tempertra C(T2-T1)= Flujo solar incidente - emisión radiativa
        temp2 = n(temp2)
        Si = n(Si)
        temp.append(temp2)
        flux.append(Si)
        step = step+1
    
    for j in range(12):                                 #Segunda iteración correspondiente a la noche sin flujo solar
        temp1=temp2
        temp2 = temp1+1/C*(-sigma*temp1^4)
        temp2 = n(temp2)
        temp.append(temp2)
        flux.append(Si)
        step = step +1
    
    for k in range(6):                                 #Tercera iteración correspondiente a a la rotación desde el amanecer hasta el mediodía solar
        temp1=temp2
        Si=S*cos(2*pi*(i+j+2+k+1)/24)*cos(latitud)
        temp2 = temp1+1/C*(Si-sigma*temp1^4)
        temp2 = n(temp2)
        Si = n(Si)
        temp.append(temp2)
        flux.append(Si)
        step = step +1
    
#Inicializamos valores para calcular la temperatura mínima,máxima y media en un ciclo.

mintemp=1000 
maxtemp=0
tempsum=0
ciclo=[]

for l in range(100):                         #Seleccionamos valor de ciclos avanzados para convergencia
    
    
    if temp[step-100+l] > maxtemp:
        maxtemp=temp[step-100+l]
for m in range(23):
    
    ciclo.append(temp[m+temp.index(maxtemp)])
    if ciclo[m] < mintemp:
        mintemp=ciclo[m]
    tempsum=tempsum+ciclo[m]

medtemp=tempsum/(m+1)

#Gráficas de temperaturas y flujo para todos los ciclos y para un ciclo avanzado

ciclo_plot=list_plot(ciclo, color="green",axes_labels=['horas','Temperatura(K)'])+text(int(medtemp),(1,int(medtemp)), color="green")+text(int(mintemp),(17,int(mintemp)), color="blue")+text(int(maxtemp),(25,int(maxtemp)), color="red")+text(int(C), (24,int(mintemp+10)),color="purple")+text("C =", (22,int(mintemp+10)),color="purple")+text("Latitud =", (22.5,int(mintemp+9)),color="black")+text(int(latitud*180/pi), (24.5,int(mintemp+9)),color="black")

temp_plot=list_plot(temp,color='red',axes_labels=['Horas','Temperatura(K)'])

flux_plot=list_plot(flux, plotjoined=True, color='blue', axes_labels=['Horas','Irradiancia solar (W/m2)'])


show(ciclo_plot)
print temp
print ciclo

[300, 302.039561160611, 303.627697374792, 304.537994891435, 304.593844194972, 303.680278045170, 301.751254568004, 299.870779856852, 298.036744279033, 296.247167227492, 294.500187019983, 292.794051756241, 291.127111026946, 289.497808381709, 287.904674474802, 286.346320817325, 284.821434072999, 283.328770842256, 281.867152885677, 281.474237473090, 282.057272286349, 283.459700873136, 285.471187299051, 287.841616814807, 290.298145324380, 292.564080974349, 294.378179163504, 295.512854806842, 295.789890049888, 295.092445943498, 293.372544629199, 291.692390858453, 290.050396878754, 288.445064312748, 286.874977710635, 285.338798666795, 283.835260442828, 282.363163046012, 280.921368717999, 279.508797793721, 278.124424894907, 276.767275426549, 275.436422348054, 275.169757923479, 275.876125566464, 277.400315822712, 279.533052834323, 282.024959412568, 284.603577741059, 286.992236219190, 288.929352006374, 290.186679708222, 290.585086572513, 290.006658644731, 288.402294166089, 286.833138596024, 285.297855528714, 283.795180087165, 282.323914013290, 280.882921167089, 279.471123395018, 278.087496732072, 276.731067906010, 275.400911115542, 274.096145057339, 272.815930179317, 271.559466140009, 271.364764185535, 272.141579875683, 273.735478173113, 275.937796231838, 278.499586055656, 281.148616495409, 283.608229365289, 285.616644250839, 286.945226590003, 287.414300976194, 286.905312014360, 285.368483122092, 283.864319134246, 282.391618799040, 280.949243183508, 279.536111525520, 278.151197421087, 276.793525315188, 275.462167267810, 274.156239969901, 272.874901986607, 271.617351207482, 270.382822485461, 269.170585448202, 269.018717196664, 269.837517702470, 271.473015759351, 273.716917013113, 276.320532522047, 279.011768784038, 281.513976615637, 283.565256551832, 284.936737953092, 285.448414840855, 284.981339608974, 283.485321487540, 282.020470439600, 280.585662766491, 279.179831936271, 277.801964851402, 276.451098412413, 275.126316350050, 273.826746301326, 272.551557107441, 271.299956313858, 270.071187854772, 268.864529906043, 267.679292892198, 267.553592364171, 268.398061565665, 270.059013849627, 272.328381445377, 274.957635122810, 277.674766590275, 280.203132626957, 282.280760553308, 283.678633872231, 284.216541808444, 283.775293201516, 282.304439478898, 280.863844186852, 279.452429921110, 278.069173417251, 276.713102058767, 275.383290658743, 274.078858490034, 272.798966541429, 271.542814979667, 270.309640799160, 269.098715643174, 267.909343781772, 266.740860233294, 266.631403747058, 267.491814745477, 269.168583717880, 271.453784142943, 274.098986520813, 276.832235911918, 279.376892995537, 281.470939469808, 282.885267669249, 283.439538585924, 283.014408332638, 281.559266439107, 280.133821455706, 278.737024297602, 277.367878186705, 276.025435303867, 274.708793701433, 273.417094452382, 272.149519014828, 270.905286792786, 269.683652876070, 268.483905943900, 267.305366318289, 266.147384154668, 266.048112488019, 266.918521762942, 268.605213731854, 270.900350675747, 273.555565861907, 276.298937987428, 278.853830260076, 280.958195708654, 282.382869261714, 282.947431076509, 282.532440900024, 281.087186015602, 279.671276987703, 278.283682322695, 276.923421702230, 275.589562723869, 274.281217893937, 272.997541849736, 271.737728790606, 270.501010099420, 269.286652137946, 268.093954201192, 266.922246617251, 265.770888980534, 265.678043237008, 266.554761917536, 268.247717055688, 270.549127058261, 273.210664890554, 275.960430547530, 278.521788866649, 280.632674763428, 282.063886850166, 282.634954109583, 282.226375245400, 280.787372734955, 279.377494997715, 277.995721573255, 276.641082469649, 275.312654959099, 274.009560620787, 272.730962608581, 271.476063123556, 270.244101073332, 269.034349902013, 267.846115576163, 266.678734713639, 265.531572843402, 265.442797515167, 266.323513277279, 268.020436715261, 270.325821827686, 272.991366765098, 275.745185043975, 278.310642548213, 280.425662709941, 281.861021098554, 282.436214211315, 282.031701987125, 280.596665733825, 279.190614376007, 277.812534415739, 276.461462378713, 275.136481644414, 273.836719520363, 272.561344538405, 271.309563953279, 270.080621425732, 268.873794874200, 267.688394480666, 266.523760837723, 265.379263225102, 265.293072734678, 266.176326956099, 267.875770780283, 270.183680823767, 272.851771246363, 275.608164163592, 278.176226129653, 280.293873280485, 281.731866536890, 282.309681738768, 281.907754168683, 280.475238942492, 279.071619851801, 277.695887809443, 276.347083470508, 275.024294084321, 273.726650588507, 272.453324923332, 271.203527546736, 269.976505132466, 268.771538435487, 267.587940310422, 266.425053870128, 265.282250772793, 265.197704356656, 266.082573230646, 267.783620294714, 270.093136557996, 272.762846369374, 275.520877318822, 278.090596389241, 280.209915074309, 281.649584971326, 282.229068769798, 281.828786053741, 280.397875260236, 278.995804173877, 277.621566508646, 276.274205542277, 274.952810982058, 273.656516071463, 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265.073482748201, 265.960452169300, 267.663585030279, 269.975191070865, 272.647007902153, 275.407170241617, 277.979045632612, 280.100539528023, 281.542391389102, 282.124046785115, 281.725904859618, 280.297082330020, 278.897026133007, 277.524733621489, 276.179251480453, 274.859672610690, 273.565133251719, 272.294810322416, 271.047918960001, 269.823710240063, 268.621469061974, 267.440512185637, 266.280186406851, 265.139866859806, 265.057730165957, 265.944965747213, 267.648362907180, 269.960233759487, 272.632317596249, 275.392750038520, 277.964898700894, 280.086668270702, 281.528796670887, 282.110727300399, 281.712856711348, 280.284298867287, 278.884498061329, 277.512452107055, 276.167208120814, 274.847859407709, 273.553542586591, 272.283434932557, 271.036751917654, 269.812744932463, 268.610699172942, 267.429931678484, 266.269789508479, 265.129648045913, 265.047684147249, 265.935089444146, 267.638655133905, 269.950694843932, 272.622948938301, 275.383553614281, 277.955876531918, 280.077821890377, 281.520126631642, 282.102232770651, 281.704535206928, 280.276146147832, 278.876508200591, 277.504619472482, 276.159527354864, 274.840325410609, 273.546150500413, 272.276180126483, 271.029629974338, 269.805751635387, 268.603830494683, 267.423183769814, 266.263158688230, 265.123130791544, 265.041277086054, 265.928790612617, 267.632463776187, 269.944611169549, 272.616973840403, 275.377688353502, 277.950122397886, 280.072179861407, 281.514597060450, 282.096815127308, 281.699227907559, 280.270946488535, 278.871412402262, 277.499623943290, 276.154628678336, 274.835520334643, 273.541435927114, 272.271553102779, 271.025087683277, 269.801291388077, 268.599449722811, 267.418880018697, 266.258929610351, 265.118974140536, 265.037190711098, 265.924773261621, 267.628514967253, 269.940731036463, 272.613162952951, 275.373947515842, 277.946452432670, 280.068581392744, 281.511070313462, 282.093359764184, 281.695842918302, 280.267630148811, 278.868162301985, 277.496437791799, 276.151504296801, 274.832455649051, 273.538428961799, 272.268601974424, 271.022190595377, 269.798446625792, 268.596655648197, 267.416135066274, 266.256232282982, 265.116323005592, 265.034584396882, 265.922210969628, 267.625996390200, 269.938256259744, 272.610732340034, 275.371561579679, 277.944111698010, 280.066286257708, 281.508820921698, 282.091155900305, 281.693683938202, 280.265514952779, 278.866089352935, 277.494405628807, 276.149511530266, 274.830500956219, 273.536511082634, 272.266719707793, 271.020342795507, 269.796632198995, 268.594873549826, 267.414384297896, 266.254511889752, 265.114632073805, 265.032922051693, 265.920576701777, 267.624390003726, 269.936677809138, 272.609182057146, 275.370039791698, 277.942618739652, 280.064822382924, 281.507386222136, 282.089750238618, 281.692306903600, 280.264165843882, 278.864767189399, 277.493109478866, 276.148240507637, 274.829254217257, 273.535287823696, 272.265519162798, 271.019164233686, 269.795474922796, 268.593736892976, 267.413267623597, 266.253414589005, 265.113553563849, 265.031861774554, 265.919534332651, 267.623365417639, 269.935671040855, 272.608193254555, 275.369069163496, 277.941666499337, 280.063888692481, 281.506471140031, 282.088853677259, 281.691428600990, 280.263305352680, 278.863923884335, 277.492282765652, 276.147429820998, 274.828459019109, 273.534507601467, 272.264753427877, 271.018412519982, 269.794736785405, 268.593011906942, 267.412555382763, 266.252714704946, 265.112865664874, 265.031185504781, 265.918869484920, 267.622711912242, 269.935028899971, 272.607562572513, 275.368450073412, 277.941059137390, 280.063293161992, 281.505887478296, 282.088281828414, 281.690868397932, 280.262756510091, 278.863386003408, 277.491755467341, 276.146912744761, 274.827951821747, 273.534009956055, 272.264265022771, 271.017933057902, 269.794265982581, 268.592549492332, 267.412101097314, 266.252268300913, 265.112426905187, 265.030754162451, 265.918445427817, 267.622295089529, 269.934619325796, 272.607160307044, 275.368055201555, 277.940671746003, 280.062913316980, 281.505515203447, 282.087917088100, 281.690511085572, 280.262406443703, 278.863042928625, 277.491419142401, 276.146582939702, 274.827628317671, 273.533692544441, 272.263953504846, 271.017627244053, 269.793965691817, 268.592254551774, 267.411811341733, 266.251983572292, 265.112147052317, 265.030479040554, 265.918174952618, 267.622029228604, 269.934358088169, 272.606903731092, 275.367803341434, 277.940424657116, 280.062671041361, 281.505277756271, 282.087684446642, 281.690283181854, 280.262183161652, 278.862824106001, 277.491204625001, 276.146372580851, 274.827421977750, 273.533490090451, 272.263754810005, 271.017432187422, 269.793774157953, 268.592066430413, 267.411626527487, 266.251801964373, 265.111968554281, 265.030303560058, 265.918002435909, 267.621859655002, 269.934191463429, 272.606740079693, 275.367642697919, 277.940267056821, 280.062516511099, 281.505126305720, 282.087536061309, 281.690137818380, 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271.017177806347, 269.793524371049, 268.591821093877, 267.411385503880, 266.251565122255, 265.111735767876, 265.030074708939, 265.917777449974, 267.621638507280, 269.933974161429, 272.606526655338, 275.367433196258, 277.940061523939, 280.062314981961, 281.504928792950, 282.087342546005, 281.689948243997, 280.261855015991, 278.862502514100, 277.490889360239, 276.146063427669, 274.827118730959, 273.533192554590, 272.263462798749, 271.017145523035, 269.793492670778, 268.591789958398, 267.411354915751, 266.251535064795, 265.111706225123, 265.030045665609, 265.917748897171, 267.621610441582, 269.933946583788, 272.606499569806, 275.367406608551, 277.940035439905, 280.062289406040, 281.504903726743, 282.087317987113, 281.689924185243, 280.261831445123, 278.862479413991, 277.490866714611, 276.146041221038, 274.827096948586, 273.533171182436, 272.263441823430, 271.017124931783, 269.793472451407, 268.591770099268, 267.411335405737, 266.251515893258, 265.111687381880, 265.030027140913, 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