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2015年高教社杯全国大学生数学建模A题太阳影子定位（Matlab代码）

發布時間：2023/12/10 编程问答 42 豆豆

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文章目錄

一、第一問
- （一）經度與影長關系
- （二）維度與影長關系
- （三）日期與影長關系
- （四）時間與影長關系
- （五）桿長與影長關系
- （六）北京3米桿長9-15點影長隨時間變化曲線
二、第二問
- （一）求解
- （二）經度靈敏度
三、第三問

一、第一問

（一）經度與影長關系

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;% 緯度 W = 39 + 54/60 + 26/3600;Jm = 120;JArr = [70 75 80 85 90 95 100 105 110 115 120 125 135 140 145 150 155 160 165 170 175]; LsArr = [];m = 11; nn = 30;% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for i = 1:21% 太陽赤緯夾角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太陽時B = 2*pi*(n -81)/364;E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); J = JArr(i);%A = WArr(i);T0 = m + nn/60;Ts = T0 + E/60 + (J - Jm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 桿長 L = 3 mL = 3;% 影長 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(JArr, LsArr); %axis([1 12 0 7]); xlabel('經度（°E）'); ylabel('影長（米）'); title('不同經度與影長關系曲線');

（二）維度與影長關系

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 W = 39 + 54/60 + 26/3600; % 經度 J = 116 + 23/60 + 29/3600; % 時區經度 Dm = 120;LArr = [1 2 3 4 5 6 7 8 9 10 11 12]; JArr = [70 75 80 85 90 95 100 105 110 115 120 125 135 140 145 150 155 160 165 170 175]; WArr = [15 20 25 30 35 40 45 50 55 60 65 70]; DateArr = [1 32 60 91 121 152 182 213 244 274 305 335]; LsArr = [];m = 11; nn = 30;% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for i = 1:12W = WArr(i);% 太陽赤緯夾角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太陽時B = 2*pi*(n -81)/364;E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); %A = WArr(i);T0 = m + nn/60;Ts = T0 + E/60 + (J - Dm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 桿長 L = 3 mL = 3;% 影長 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(WArr, LsArr); %axis([1 12 0 7]); xlabel('緯度（°E）'); ylabel('影長（米）'); title('不同緯度與影長關系曲線');

（三）日期與影長關系

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 W = 39 + 54/60 + 26/3600; % 經度 J = 116 + 23/60 + 29/3600; % 時區經度 Jm = 120;DateArr = [1 32 60 91 121 152 182 213 244 274 305 335]; Date = [1.1 2.1 3.1 4.1 5.1 6.1 7.1 8.1 9.1 10.1 11.1 12.1] LsArr = [];m = 11; nn = 30;% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for i = 1:12n = DateArr(i);% 太陽赤緯夾角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太陽時B = 2*pi*(n -81)/364;E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); T0 = m + nn/60;Ts = T0 + E/60 + (J - Jm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));Ohh = Oh*180/pi;% 桿長 L = 3 mL = 3;% 影長 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(Date, LsArr); %axis([1 12 0 7]); xlabel('日期'); ylabel('影長（米）'); title('不同日期與影長關系曲線');

（四）時間與影長關系

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 W = 39 + 54/60 + 26/3600; % 經度 J = 116 + 23/60 + 29/3600; % 時區經度 Jm = 120;% 太陽赤緯夾角（度） F = 23.45*sin(2*pi*(284+n)/365);% 太陽時 B = 2*pi*(n -81)/364; E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); ii = 0;X = [];% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for m = 9:1:14for nn = 0:10:59ii = ii +1;X(ii) = m+nn/60;Hour(ii) = m;Minute(ii) = nn;T0 = m + nn/60;Ts = T0 + E/60 + (J - Jm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));Ohh = Oh*180/pi;HH(ii) = Ohh;% 桿長 L = 3 mL = 3;% 影長 LsLs = L/tan(Oh);LsArr(ii) = Ls;end endplot(X, LsArr, 'red'); %axis([9 15 22 40]); xlabel('時間'); ylabel('影子長度'); title('時間--影長');

（五）桿長與影長關系

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 W = 39 + 54/60 + 26/3600; % 經度 J = 116 + 23/60 + 29/3600; % 時區經度 Jm = 120;LArr = [1 2 3 4 5 6 7 8 9 10 11 12]; LsArr = [];m = 11; nn = 30;% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for i = 1:12% 太陽赤緯夾角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太陽時B = 2*pi*(n -81)/364;E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); %A = WArr(i);T0 = m + nn/60;Ts = T0 + E/60 + (J - Jm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 桿長 L = 3 mL = LArr(i);% 影長 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(LArr, LsArr); %axis([1 12 0 7]); xlabel('桿長（米）'); ylabel('影長（米）'); title('不同桿長與影長關系曲線');

（六）北京3米桿長9-15點影長隨時間變化曲線

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 A = 39 + 54/60 + 26/3600; % 經度 D = 116 + 23/60 + 29/3600; % 時區經度 Dm = 120;% 太陽赤緯夾角（度） F = 23.45*sin(2*pi*(284+n)/365);% 太陽時 B = 2*pi*(n -81)/364; E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); ii = 0;LsArr = [];X = [];Larr = [3 4 5 6 7 8 9 10]% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for m = 9:1:14for nn = 0:10:59ii = ii +1;X(ii) = m+nn/60;T0 = m + nn/60;Ts = T0 + E/60 + (D - Dm)/15;% 太陽時角（度）C = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(A*pi/180)*sin(F*pi/180) + cos(A*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 桿長 L = 3 mL = 3;% 影長 LsLs = L/tan(Oh);LsArr(ii) = Ls;end endplot(X, LsArr, 'red'); %axis([9 15 22 40]); xlabel('時間'); ylabel('影子長度'); title('北京3米桿長9-15點影長隨時間變化曲線');

二、第二問

（一）求解

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度dB = [0.4555 0.4409 0.4247 0.4136 0.3986 0.3919 0.3777 0.3656 0.3582 0.3481 0.3438 0.3305 0.3264 0.3169 0.3120 0.3069 0.2987 0.2928 0.2876 0.2853 ];dLs = [1.1496 1.1822 1.2153 1.2491 1.2832 1.3180 1.3534 1.3894 1.4262 1.4634 1.5015 1.5402 1.5799 1.6201 1.6613 1.7033 1.7462 1.7901 1.8350 1.8809 1.9279 ];% 4月18日是一年的第 108 天 n = 108;% 太陽赤緯夾角（度） C = 23.45*sin(2*pi*(284+n)/365);% 太陽時 B = 2*pi*(n -81)/364; E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); Jm = 120;hour = [14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15]; minutes = [42 45 48 51 54 57 0 3 6 9 12 15 18 21 24 27 30 33 36 39 42];value1 = 0; value2 = 0;min = 100000000;j = 1;X = []; Y = [];MinArr = ones(12,5); dFsArr = [];LsArr = [];DD = ones(12, 20);LsArrr = ones(12, 21); % 桿長 for L = 0:0.1:3% 緯度for W = 15:0.1:25% 經度for J = 105:0.1:115% 時間for i = 1:1:21T0 = hour(i) + minutes(i)/60;Ts = T0 + E/60 + (J - Jm)/15;% 太陽時角（度）S = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(C.*pi/180) + cos(W*pi/180)*cos(C*pi/180)*cos(S*pi/180));% 太陽方位角if(S <0)Fs = acos( (sin(C*pi/180) - sin(Oh)*sin(W*pi/180)) / (cos(Oh)*cos(W*pi/180)));FsArr(i) = Fs;elseFs = 2*pi - acos( (sin(C*pi/180) - sin(Oh)*sin(W*pi/180)) / (cos(Oh)*cos(W*pi/180)));FsArr(i) = Fs;endif(i >= 2)value1 = value1 + ( FsArr(i-1) - FsArr(i) - dB(i - 1) )^2;dFsArr(i-1) = FsArr(i-1) - FsArr(i);end% 影長 LsLs = L / tan(Oh);LsArr(i) = Ls;value2 = value2 + (Ls - dLs(i))^2;i = i +1;endvalue = value1/20*value2/21;%if(value < min)%min = value;%MinArr = [L W J]%endif (value < 0.0000003)X(j) = j;jY(j) = value;LsArrr(j, :) = LsArr;DD(j, :) = dFsArr*180/pi;MinArr(j , 1:5) = [j L W J value];j = j+1;endvalue1 = 0;value2 = 0;value = 0;endend endplot(X, Y,'*');

（二）經度靈敏度

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度 %% 10月22日北京時間9:00-15:00% 10月22日是一年的第 295 天 n = 295.0;%地理位置北緯39度54分26秒,東經116度23分29秒 % 緯度 A = 40; % 經度D2 = 116; D1 = D2 - 2; D3 = D2 + 2; % 時區經度 Dm = 120;% 太陽赤緯夾角（度） F = 23.45*sin(2*pi*(284+n)/365);% 太陽時 B = 2*pi*(n -81)/364; E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); i = 0;LsArr1 = []; LsArr2 = []; LsArr3 = [];% T0： m 時 n 分 % 9:00-15:00 % m = [9, 15] n = [0, 59] for m = 9:1:14for nn = 0:10:59i = i +1;I(i) = m+nn/60;T0 = m + nn/60;Ts1 = T0 + E/60 + (D1 - Dm)/15;Ts2 = T0 + E/60 + (D2 - Dm)/15;Ts3 = T0 + E/60 + (D3 - Dm)/15;% 太陽時角（度）C1 = 15*(Ts1 - 12);C2 = 15*(Ts2 - 12);C3 = 15*(Ts3 - 12);% 太陽高度角Oh1 = asin(sin(A*pi/180)*sin(F*pi/180) + cos(A*pi/180)*cos(F*pi/180)*cos(C1*pi/180));Oh2 = asin(sin(A*pi/180)*sin(F*pi/180) + cos(A*pi/180)*cos(F*pi/180)*cos(C2*pi/180));Oh3 = asin(sin(A*pi/180)*sin(F*pi/180) + cos(A*pi/180)*cos(F*pi/180)*cos(C3*pi/180));% 桿長 L = 3 mL = 3;L3 = 3.1;% 影長 LsLs1 = L/tan(Oh1);Ls2 = L/tan(Oh2);Ls3 = L/tan(Oh3);LsArr1(i) = Ls1;LsArr2(i) = Ls2;LsArr3(i) = Ls3;end endplot(I, LsArr1); hold on; plot(I, LsArr2); hold on; plot(I, LsArr3); %axis([9 15 22 40]); xlabel('時間'); ylabel('影子長度'); title('經度靈敏度分析'); legend('114°E' ,'116°E','118°E');

三、第三問

clc; clear;% Φ -> A 緯度 % δ -> F 太陽赤道緯度夾角 % ω -> C 太陽時角 % h -> Oh 太陽高度角 % λ -> D 經度Fs = [0.918623526 0.944000767 0.966801009 0.994166838 1.012283158 1.046853791 1.071045389 1.097061852 1.127405199 1.159996144 1.191548883 1.225531726 1.254788569 1.290149918 1.331772011 1.362830448 1.399931432 1.446251384 1.481107264 1.522542777];FsArr = [0.718578797 0.733382552 0.748746948 0.764690387 0.781231337 0.798388226 0.816179307 0.834622505 0.85373524 0.873534213 0.894035175 0.915252647 0.937199616 0.959887176 0.983324139 1.007516588 1.032467392 1.058175659 1.084636143 1.111838606 0.686999211 0.700565716 0.714630377 0.729209006 0.744317502 0.759971765 0.776187602 0.792980606 0.810366025 0.828358609 0.846972426 0.866220667 0.88611541 0.906667363 0.927885568 0.949777079 0.972346592 0.99559605 1.019524197 1.044126097 0.829657201 0.849114698 0.86934603 0.89037576 0.912227884 0.934925534 0.958490635 0.9829435 1.008302366 1.034582864 1.061797418 1.089954562 1.119058177 1.149106647 1.180091918 1.21199848 1.244802264 1.278469465 1.312955298 1.348202726 0.800063833 0.819138381 0.838945312 0.85950628 0.880842244 0.902973178 0.925917744 0.949692908 0.974313511 0.99979177 1.026136729 1.053353631 1.081443225 1.110401007 1.140216378 1.17087174 1.202341526 1.234591166 1.267576022 1.30124028 0.684818578 0.699406344 0.714514576 0.73015869 0.746353979 0.763115498 0.780457935 0.798395452 0.816941513 0.836108683 0.855908404 0.876350733 0.897444063 0.919194799 0.941607003 0.964682006 0.988417975 1.012809451 1.037846841 1.063515882 0.845459627 0.864429717 0.884177401 0.904729656 0.926113254 0.948354504 0.971478948 0.995510999 1.020473525 1.04638736 1.073270745 1.101138694 1.130002259 1.159867724 1.190735681 1.222600021 1.255446825 1.289253149 1.323985733 1.359599629 0.91707391 0.939303965 0.962461544 0.986576913 1.01167935 1.037796685 1.064954767 1.093176835 1.122482798 1.15288841 1.184404326 1.217035044 1.25077772 1.28562085 1.321542832 1.358510409 1.396477005 1.435380979 1.475143833 1.515668408 0.840665072 0.861372223 0.882886199 0.905230081 0.928425862 0.952494065 0.977453309 1.003319803 1.030106783 1.057823865 1.086476318 1.116064263 1.146581781 1.178015936 1.210345717 1.243540912 1.277560903 1.312353428 1.347853307 1.383981179 0.90001369 0.920963968 0.942795521 0.965539128 0.989225094 1.013882884 1.039540697 1.06622496 1.093959747 1.122766094 1.152661223 1.183657651 1.215762186 1.248974796 1.283287356 1.318682272 1.355130973 1.392592311 1.431010856 1.470315135 0.653099563 0.6656937 0.678732847 0.692230485 0.70620016 0.72065542 0.735609729 0.751076381 0.767068395 0.783598389 0.80067845 0.81831997 0.836533471 0.855328408 0.87471294 0.894693686 0.915275443 0.936460885 0.958250225 0.980640853 0.718157258 0.73435505 0.75114847 0.768555455 0.786593689 0.805280441 0.824632378 0.844665344 0.865394114 0.886832113 0.908991087 0.93188075 0.955508372 0.97987833 1.004991608 1.030845248 1.057431751 1.084738432 1.112746723 1.141431446 0.684103604 0.697333147 0.711054634 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0.598278269 0.614797862 0.631827909 0.649379622 0.667463447 0.686088883 0.705264284 0.724996639 0.745291319 0.766151812 0.78757942 0.809572932 0.832128271 0.855238115 0.878891487 0.90307332 0.781140457 0.798175226 0.81588968 0.834307313 0.853451624 0.873345951 0.894013254 0.915475873 0.937755237 0.960871533 0.984843321 1.009687085 1.035416735 1.062043032 1.089572948 1.118008944 1.147348181 1.177581642 1.208693183 1.240658509 0.75752161 0.774057025 0.791225304 0.809046674 0.827541204 0.846728644 0.866628219 0.887258403 0.908636648 0.930779081 0.953700155 0.977412246 1.001925213 1.027245888 1.05337752 1.080319156 1.10806496 1.136603476 1.165916825 1.195979861 0.708072671 0.725546187 0.743635729 0.762357654 0.781727658 0.801760554 0.82247003 0.843868362 0.8659661 0.88877171 0.912291178 0.936527568 0.961480533 0.987145786 1.013514518 1.040572779 1.068300809 1.096672343 1.125653877 1.155203922 0.591932269 0.611390918 0.631527529 0.652361291 0.673910545 0.696192508 0.719222952 0.74301584 0.767582914 0.792933226 0.819072624 0.846003169 0.873722501 0.902223137 0.931491717 0.961508191 0.992244951 1.023665931 1.055725665 1.088368345 0.604877918 0.624484478 0.644771223 0.665756746 0.687458693 0.709893473 0.733075926 0.757018943 0.781733044 0.807225898 0.833501787 0.860561022 0.888399287 0.917006933 0.946368214 0.976460469 1.007253253 1.038707444 1.070774312 1.103394593 0.825920594 0.844607576 0.864040615 0.884244167 0.905242336 0.927058619 0.949715604 0.973234627 0.997635363 1.022935363 1.049149525 1.076289491 1.104362967 1.133372968 1.16331697 1.194185988 1.225963561 1.258624665 1.292134549 1.326447523 0.57593857 0.593798201 0.612253467 0.631320573 0.651015051 0.671351552 0.692343601 0.714003323 0.736341128 0.759365368 0.783081941 0.807493866 0.832600801 0.85839853 0.88487839 0.912026673 0.939823971 0.968244496 0.997255371 1.026815901 0.688982267 0.703900665 0.719340748 0.735317105 0.75184407 0.768935601 0.786605125 0.804865373 0.823728191 0.843204317 0.863303142 0.884032435 0.905398039 0.927403537 0.950049878 0.973334973 0.997253258 1.021795215 1.046946866 1.072689238 0.706396256 0.724041428 0.742301617 0.761192578 0.78072931 0.800925838 0.821794951 0.843347913 0.865594138 0.888540821 0.912192533 0.936550772 0.961613468 0.987374444 1.013822832 1.040942454 1.068711154 1.097100105 1.126073092 1.155585781 0.891551813 0.91482588 0.938998979 0.964092838 0.990127026 1.017118386 1.045080392 1.074022413 1.103948895 1.134858441 1.166742806 1.199585786 1.233362022 1.268035725 1.303559325 1.339872081 1.376898674 1.41454781 1.452710906 1.49126089 0.753335773 0.768866464 0.78500006 0.801756869 0.819157267 0.837221579 0.855969918 0.875422007 0.895596966 0.916513071 0.938187467 0.960635847 0.98387208 1.007907797 1.032751914 1.058410109 1.084884236 1.112171675 1.140264628 1.169149347 0.691765944 0.705440469 0.719612562 0.73429763 0.749511112 0.765268392 0.781584691 0.798474952 0.815953693 0.834034853 0.852731599 0.872056125 0.892019412 0.912630959 0.933898488 0.955827609 0.978421456 1.001680275 1.025600988 1.050176711 0.714031566 0.7313905 0.749361205 0.767959823 0.787201838 0.807101861 0.827673389 0.848928526 0.870877669 0.893529162 0.916888901 0.940959903 0.965741825 0.991230442 1.017417081 1.044288005 1.071823767 1.099998515 1.128779283 1.15812525 0.640350808 0.658562758 0.677392046 0.696854474 0.716965004 0.737737526 0.759184582 0.781317059 0.804143846 0.827671449 0.851903563 0.876840597 0.902479159 0.928811494 0.955824876 0.983500959 1.011815092 1.040735606 1.070223075 1.100229574 0.571227989 0.589028048 0.607429117 0.62644826 0.64610196 0.66640591 0.687374774 0.709021924 0.731359125 0.754396197 0.778140623 0.802597124 0.827767179 0.853648504 0.880234482 0.907513545 0.935468515 0.964075901 0.993305164 1.023117964 ];% 10月22日北京時間9:00-15:00% 285 1.4 -32 69NLWJ = [285 1.4 -32 69 65 1.3 -31 74 114 1.7 34 77 245 1.6 30 77 85 1.3 27 74 26 1.8 -39 80 199 2 40 81 58 1.7 -31 82 175 2 42 79 271 1.2 -29 67 257 1.4 27 73 283 1.3 -32 67 76 1.5 -26 79 226 1.8 35 80 42 1.1 -38 65 92 1.2 30 70 34 1.9 -37 83 308 1.7 -37 72 298 1.3 -36 64 120 1.6 36 74 268 1.1 -29 65 78 1.4 -26 77 71 1.2 -30 72 306 1.9 -36 76 186 2.2 41 83 104 1.3 33 70 281 1.1 -33 62 235 1.1 36 64 247 1.2 32 68 63 1.2 -32 71 53 1 -37 64 192 1.3 -4 75 299 1.6 -35 71 55 1.3 -34 73 146 1.3 -5 73 89 1.1 30 68 364 1.5 1 78 229 1.8 34 80 229 1.3 36 69 264 1.4 -25 73 71 1.2 23 74 114 1.2 36 65 102 1.4 32 73 285 1.1 -34 61 271 1.5 -27 74 76 1.2 -28 72 244 1.7 30 79 265 1.1 27 66 298 1.8 -34 75 141 1.3 -6 73 197 1.5 -3 79 3 2.2 -41 83 100 1.3 32 71 232 1.4 35 72 77 1.2 25 73 119 1.1 38 61 159 1.4 -2 75 60 1 -35 65 272 1.5 21 75 106 1.1 35 64 87 1.5 -22 79 28 1.1 -40 62 246 1 34 62 293 1.2 -35 62 241 1.5 32 75 137 1.2 -8 71 60 1.4 -32 76 361 2 -42 79 158 1.3 -3 73 305 1.5 -37 68 246 1.4 31 73 135 1.7 39 74 257 1 31 63 292 1.6 -33 72 133 1.9 38 78 243 1.3 32 70 216 1.6 38 75 225 1.6 36 76 25 1.2 8 75 228 1.6 35 76 58 1.5 -32 78 274 1.4 21 73 162 1.5 -1 77 336 1.5 2 75 121 1.7 36 76 191 1.4 -3 77 264 1.3 -26 71 277 1.4 20 73 60 1.8 -30 84 114 1.5 35 73 279 1.3 -31 68 89 1.4 -22 77 39 1.4 10 80 152 1.4 -3 75 234 1.3 -15 75 287 1.3 -33 66 209 1.1 40 60 274 1.3 22 71 300 1.7 -35 73 102 1 35 62 97 1.1 -22 70 324 1.8 -40 73 100 1.1 -21 70 260 1.2 -25 69 26 1.3 7 77 102 1.8 30 81 224 1.7 36 78 358 1.6 0 79 260 1.3 27 71 330 1.4 4 73 126 1.7 37 75 42 1.2 13 76 143 1.5 -4 77 334 1.3 4 71 246 1.1 33 65 78 1 -30 67 59 1.6 -31 80 134 1.5 -6 77];nArr = NLWJ(:, 1); LArr = NLWJ(:, 2); WArr = NLWJ(:, 3); JArr = NLWJ(:, 4); % 24 7 ii = 24;Fsi = FsArr(ii, :); n = 199;L = 2;W = 40.1;J = 81.1;hour = [12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13]; minutes = [41 44 47 50 53 56 59 2 5 8 11 14 17 20 23 26 29 32 35 38 41];dLs = [1.247256205 1.22279459 1.198921486 1.175428964 1.152439573 1.12991747 1.10783548 1.086254206 1.065081072 1.044446265 1.024264126 1.004640314 0.985490908 0.966790494 0.948584735 0.930927881 0.91375175 0.897109051 0.880973762 0.865492259 0.850504468];% 時區經度 Jm = 120;% 太陽赤緯夾角（度） C = 23.45*sin(2*pi*(284+n)/365);% 太陽時 B = 2*pi*(n -81)/364; E = 9.87*sin(2*B) - 7.53*cos(B) - 1.5*sin(B); LsArr = [];X = [];for i=1:1:21T0 = hour(i) + minutes(i)/60;Ts = T0 + E/60 + (J - Jm)/15;X(i) = T0;% 太陽時角（度）S = 15*(Ts - 12);% 太陽高度角Oh = asin(sin(W*pi/180)*sin(C*pi/180) + cos(W*pi/180)*cos(C*pi/180)*cos(S*pi/180));% 影長 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(X(:, 1:20), Fs, '.'); hold on; plot(X(:, 1:20), Fsi, 'blue');xlabel('時間'); ylabel('方位角之差（°）'); title('7月18日桿長2米（40.1°N，81.1°E）');legend('實際值', '預測值')

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