文章目录

  • 一、第一问
    • （一）经度与影长关系
    • （二）维度与影长关系
    • （三）日期与影长关系
    • （四）时间与影长关系
    • （五）杆长与影长关系
    • （六）北京3米杆长9-15点影长随时间变化曲线
  • 二、第二问
    • （一）求解
    • （二）经度灵敏度
  • 三、第三问

一、第一问

（一）经度与影长关系

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;% 纬度
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 时 n 分
% 9:00-15:00
% m = [9, 15]  n = [0, 59]
for i = 1:21% 太阳赤纬夹角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太阳时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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 杆长 L = 3 mL = 3;% 影长 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(JArr, LsArr);
%axis([1 12 0 7]);
xlabel('经度（°E）');
ylabel('影长（米）');
title('不同经度与影长关系曲线');

（二）维度与影长关系

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
W = 39 + 54/60 + 26/3600;
% 经度
J = 116 + 23/60 + 29/3600;
% 时区经度
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 时 n 分
% 9:00-15:00
% m = [9, 15]  n = [0, 59]
for i = 1:12W = WArr(i);% 太阳赤纬夹角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太阳时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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 杆长 L = 3 mL = 3;% 影长 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(WArr, LsArr);
%axis([1 12 0 7]);
xlabel('纬度（°E）');
ylabel('影长（米）');
title('不同纬度与影长关系曲线');

（三）日期与影长关系

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
W = 39 + 54/60 + 26/3600;
% 经度
J = 116 + 23/60 + 29/3600;
% 时区经度
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 时 n 分
% 9:00-15:00
% m = [9, 15]  n = [0, 59]
for i = 1:12n = DateArr(i);% 太阳赤纬夹角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太阳时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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角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;% 杆长 L = 3 mL = 3;% 影长 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(Date, LsArr);
%axis([1 12 0 7]);
xlabel('日期');
ylabel('影长（米）');
title('不同日期与影长关系曲线');

（四）时间与影长关系

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
W = 39 + 54/60 + 26/3600;
% 经度
J = 116 + 23/60 + 29/3600;
% 时区经度
Jm = 120;% 太阳赤纬夹角（度）
F = 23.45*sin(2*pi*(284+n)/365);% 太阳时
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 时 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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角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;% 杆长 L = 3 mL = 3;% 影长 LsLs = L/tan(Oh);LsArr(ii) = Ls;end
endplot(X, LsArr, 'red');
%axis([9 15 22 40]);
xlabel('时间');
ylabel('影子长度');
title('时间--影长');

（五）杆长与影长关系

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
W = 39 + 54/60 + 26/3600;
% 经度
J = 116 + 23/60 + 29/3600;
% 时区经度
Jm = 120;LArr = [1 2 3 4 5 6 7 8 9 10 11 12];
LsArr = [];m = 11;
nn = 30;% T0： m 时 n 分
% 9:00-15:00
% m = [9, 15]  n = [0, 59]
for i = 1:12% 太阳赤纬夹角（度）F = 23.45*sin(2*pi*(284+n)/365);% 太阳时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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(W*pi/180)*sin(F*pi/180) + cos(W*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 杆长 L = 3 mL = LArr(i);% 影长 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(LArr, LsArr);
%axis([1 12 0 7]);
xlabel('杆长（米）');
ylabel('影长（米）');
title('不同杆长与影长关系曲线');

（六）北京3米杆长9-15点影长随时间变化曲线

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
A = 39 + 54/60 + 26/3600;
% 经度
D = 116 + 23/60 + 29/3600;
% 时区经度
Dm = 120;% 太阳赤纬夹角（度）
F = 23.45*sin(2*pi*(284+n)/365);% 太阳时
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 时 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;% 太阳时角（度）C = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(A*pi/180)*sin(F*pi/180) + cos(A*pi/180)*cos(F*pi/180)*cos(C*pi/180));% 杆长 L = 3 mL = 3;% 影长 LsLs = L/tan(Oh);LsArr(ii) = Ls;end
endplot(X, LsArr, 'red');
%axis([9 15 22 40]);
xlabel('时间');
ylabel('影子长度');
title('北京3米杆长9-15点影长随时间变化曲线');

二、第二问

（一）求解

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度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;% 太阳赤纬夹角（度）
C = 23.45*sin(2*pi*(284+n)/365);% 太阳时
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);
% 杆长
for L = 0:0.1:3% 纬度for W = 15:0.1:25% 经度for J = 105:0.1:115% 时间for i = 1:1:21T0 = hour(i) + minutes(i)/60;Ts = T0 + E/60 + (J - Jm)/15;% 太阳时角（度）S = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(W*pi/180)*sin(C.*pi/180) + cos(W*pi/180)*cos(C*pi/180)*cos(S*pi/180));% 太阳方位角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% 影长 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）经度灵敏度

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度
%% 10月22日北京时间9:00-15:00% 10月22日是一年的第 295 天
n = 295.0;%地理位置 北纬39度54分26秒,东经116度23分29秒
% 纬度
A = 40;
% 经度D2 = 116;
D1 = D2 - 2;
D3 = D2 + 2;
% 时区经度
Dm = 120;% 太阳赤纬夹角（度）
F = 23.45*sin(2*pi*(284+n)/365);% 太阳时
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 时 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;% 太阳时角（度）C1 = 15*(Ts1 - 12);C2 = 15*(Ts2 - 12);C3 = 15*(Ts3 - 12);% 太阳高度角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));% 杆长 L = 3 mL = 3;L3 = 3.1;% 影长 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('时间');
ylabel('影子长度');
title('经度灵敏度分析');
legend('114°E' ,'116°E','118°E');

三、第三问

clc;
clear;% Φ -> A   纬度
% δ -> F   太阳赤道纬度夹角
% ω -> C   太阳时角
%  h -> Oh  太阳高度角
% λ -> D   经度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 0.725284159 0.740037986 0.755332471 0.771183977 0.787608772 0.804622905 0.822242073 0.840481456 0.859355531 0.878877864 0.899060867 0.919915527 0.941451099 0.963674767 0.986591257 1.010202424 1.034506785
0.762787485 0.781173212 0.800234976 0.819991334 0.840460094 0.861658053 0.883600706 0.906301905 0.929773481 0.954024807 0.979062321 1.004888987 1.031503702 1.058900646 1.087068578 1.115990069 1.145640696 1.175988187 1.206991535 1.238600091
0.873502326 0.894638277 0.916616304 0.939461423 0.963197572 0.987847211 1.013430854 1.039966535 1.06746919  1.09594997  1.125415449 1.155866752 1.187298584 1.219698162 1.253044056 1.287304944 1.322438289 1.358388969 1.395087867 1.432450467
0.602821594 0.611138657 0.619778532 0.628752508 0.638072274 0.647749922 0.657797946 0.668229237 0.679057077 0.690295127 0.70195741  0.714058291 0.726612451 0.739634849 0.753140684 0.767145341 0.78166433  0.796713211 0.81230751  0.828462614
0.649813283 0.66206754  0.674761838 0.687909995 0.701525971 0.715623811 0.730217577 0.745321268 0.760948726 0.777113529 0.793828869 0.811107405 0.828961109 0.847401075 0.866437318 0.886078539 0.906331867 0.927202572 0.948693745 0.970805951
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0.994205449 1.019944214 1.046761428 1.074687802 1.103751606 1.133977901 1.165387659 1.197996736 1.231814719 1.26684362  1.303076408 1.340495399 1.379070483 1.418757228 1.459494853 1.501204133 1.543785264 1.587115763 1.631048488 1.675409872
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0.782384653 0.799469172 0.817235121 0.835705997 0.854905296 0.874856334 0.895582034 0.917104679 0.939445619 0.962624932 0.98666104  1.011570254 1.037366271 1.064059592 1.091656879 1.120160229 1.149566372 1.179865797 1.211041787 1.243069401
0.682435409 0.69504511  0.708129251 0.72170377  0.735784858 0.750388897 0.765532397 0.781231903 0.797503908 0.814364729 0.831830379 0.849916407 0.868637723 0.888008391 0.908041393 0.92874837  0.950139318 0.972222258 0.995002857 1.018484021
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0.621221652 0.632154902 0.643469017 0.65517548  0.667285914 0.679812047 0.692765664 0.70615855  0.720002432 0.734308897 0.749089319 0.764354751 0.780115825 0.796382621 0.81316453  0.830470097 0.848306842 0.86668107  0.885597646 0.905059765
0.594009995 0.613501606 0.633669246 0.65453172  0.676106947 0.698411672 0.721461148 0.745268766 0.769845641 0.79520014  0.821337368 0.848258583 0.875960558 0.904434888 0.933667234 0.963636512 0.994314042 1.025662645 1.057635724 1.090176335
0.869864841 0.891279111 0.913553507 0.936714043 0.960785653 0.98579178  1.011753887 1.038690905 1.06661859  1.095548802 1.125488686 1.156439754 1.188396871 1.221347132 1.255268647 1.290129233 1.325885023 1.362479021 1.399839617 1.437879114
0.669839833 0.68157815  0.693771805 0.706437134 0.719590891 0.733250211 0.74743257  0.762155733 0.777437685 0.793296554 0.809750518 0.826817691 0.844515992 0.862862988 0.881875719 0.901570485 0.921962612 0.943066177 0.964893701 0.987455796
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0.639712589 0.653487103 0.667725285 0.682439944 0.697643728 0.713349024 0.729567847 0.746311712 0.763591494 0.78141726  0.799798085 0.818741853 0.83825502  0.85834237  0.879006726 0.900248652 0.922066114 0.944454124 0.967404344 0.990904683
0.635367302 0.645626736 0.656281356 0.667345214 0.678832784 0.690758951 0.703138984 0.715988514 0.7293235   0.743160184 0.757515041 0.772404712 0.787845933 0.803855441 0.820449865 0.837645607 0.855458693 0.873904605 0.892998087 0.912752928
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0.848430885 0.869611824 0.89160371  0.914427948 0.938104547 0.962651701 0.988085315 1.014418464 1.04166078  1.06981777  1.098890045 1.12887248  1.159753285 1.191513005 1.224123441 1.257546513 1.291733073 1.32662169  1.362137441 1.398190726
0.619077824 0.63071947  0.642752481 0.655187964 0.668037053 0.681310857 0.695020396 0.70917653  0.723789876 0.738870715 0.754428886 0.770473665 0.787013632 0.80405652  0.821609044 0.839676722 0.858263661 0.877372338 0.89700335  0.917155146
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0.991712772 1.017395203 1.044158165 1.072033001 1.101048702 1.131231152 1.162602243 1.19517887  1.228971776 1.263984253 1.300210681 1.337634912 1.376228504 1.415948805 1.456736923 1.498515604 1.541187071 1.584630887 1.628701919 1.673228517
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0.749243173 0.768601957 0.788657615 0.809427831 0.830929219 0.853177005 0.87618469  0.899963644 0.924522672 0.94986751  0.976000279 1.002918872 1.03061629  1.059079921 1.08829076  1.118222587 1.1488411   1.180103019 1.211955178 1.24433362
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0.754952577 0.774186999 0.794113333 0.814749036 0.836110505 0.858212766 0.881069141 0.90469085  0.929086582 0.954262003 0.980219216 1.006956159 1.034465956 1.062736206 1.091748218 1.121476203 1.151886424 1.182936315 1.214573587 1.246735343
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0.634959959 0.645491185 0.656426344 0.667779747 0.679566117 0.69180057  0.704498593 0.71767601  0.731348945 0.74553377  0.760247048 0.775505459 0.791325716 0.807724465 0.824718164 0.842322947 0.860554461 0.879427687 0.898956724 0.91915455
0.764273683 0.780977702 0.798314263 0.816302893 0.834962864 0.854313011 0.874371522 0.895155695 0.91668166  0.938964058 0.962015682 0.985847061 1.010466005 1.03587709  1.062081087 1.089074337 1.11684807  1.145387662 1.174671844 1.204671864
0.537005461 0.551603784 0.566662879 0.582195623 0.598214659 0.614732279 0.631760307 0.64930996  0.667391685 0.686014985 0.705188222 0.724918386 0.74521086  0.766069137 0.787494527 0.809485832 0.832038987 0.855146682 0.878797954 0.902977756
0.722573362 0.737452521 0.752890203 0.768904309 0.785512749 0.802733324 0.820583594 0.839080715 0.858241254 0.878080974 0.898614593 0.919855503 0.941815452 0.964504193 0.987929081 1.012094629 1.037002019 1.062648557 1.089027091 1.116125365
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0.727947641 0.74324618  0.759111219 0.775560177 0.792610355 0.810278805 0.828582177 0.847536534 0.867157148 0.887458262 0.908452823 0.930152171 0.9525657   0.975700472 0.999560787 1.024147712 1.049458562 1.075486331 1.102219082 1.12963929
0.801949296 0.818987352 0.836724157 0.85518531  0.874396606 0.894383874 0.915172776 0.936788574 0.959255847 0.982598162 1.006837695 1.031994785 1.058087421 1.085130662 1.113135975 1.142110484 1.172056139 1.202968786 1.234837151 1.26764173
0.602895061 0.612540658 0.622509254 0.632809824 0.643451445 0.654443272 0.665794499 0.677514325 0.689611908 0.702096317 0.714976471 0.728261078 0.741958558 0.756076961 0.770623874 0.785606317 0.801030628 0.816902333 0.833226007 0.850005117
0.787679545 0.805526389 0.824077736 0.843356863 0.863386833 0.884190276 0.905789141 0.928204394 0.951455681 0.97556093  1.0005359   1.026393667 1.053144041 1.080792916 1.109341542 1.13878572  1.169114922 1.200311335 1.232348837 1.265191903
0.889590505 0.910994068 0.933281137 0.956480548 0.980620315 1.00572723  1.031826388 1.058940638 1.087089945 1.116290664 1.146554704 1.177888597 1.210292444 1.243758749 1.278271138 1.313802964 1.350315817 1.387757941 1.426062597 1.465146402
0.67511432  0.688132594 0.70164298  0.715662252 0.730207443 0.745295784 0.76094463  0.777171362 0.793993286 0.811427503 0.82949076  0.848199282 0.867568572 0.887613185 0.908346467 0.929780269 0.95192461  0.974787311 0.998373579 1.022685553
0.76960631  0.785356263 0.801742766 0.818789078 0.836518747 0.854955488 0.874123037 0.894044969 0.914744494 0.936244206 0.958565797 0.981729714 1.005754779 1.030657737 1.056452746 1.083150806 1.110759107 1.139280302 1.168711709 1.199044423
0.786177323 0.80301502  0.820519161 0.838712384 0.857617297 0.877256316 0.897651458 0.918824097 0.940794692 0.963582456 0.987204988 1.011677846 1.037014058 1.063223577 1.090312662 1.118283195 1.147131922 1.176849617 1.20742018  1.238819666
0.537061665 0.551661764 0.566722686 0.582257308 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日北京时间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];% 时区经度
Jm = 120;% 太阳赤纬夹角（度）
C = 23.45*sin(2*pi*(284+n)/365);% 太阳时
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;% 太阳时角（度）S = 15*(Ts - 12);% 太阳高度角Oh = asin(sin(W*pi/180)*sin(C*pi/180) + cos(W*pi/180)*cos(C*pi/180)*cos(S*pi/180));% 影长 LsLs = L/tan(Oh);LsArr(i) = Ls;endplot(X(:, 1:20), Fs, '.');
hold on;
plot(X(:, 1:20), Fsi, 'blue');xlabel('时间');
ylabel('方位角之差（°）');
title('7月18日 杆长2米 （40.1°N，81.1°E）');legend('实际值', '预测值')

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