solar_data

半径r(単位m)       1 2 3 4 5 6 6.3 7 8 9 10 11 12
直径2r(単位m)       2 4 6 8 10 12 12.6 14 16 18 20 22 24
周長2πr(単位m)       6.2832 12.5664 18.8496 25.1328 31.416 37.6992 39.58416 43.9824 50.2656 56.5488 62.832 69.1152 75.3984
表面積4πr^2(単位m^2)       12.5664 50.2656 113.0976 201.0624 314.16 452.3904 526.4098 615.7536 804.2496 1017.878 1256.64 1520.534 1809.562
体積4/3πr^3(単位m^3)       4.1888 33.5104 113.0976 268.0832 523.6 904.7808 1122.464 1436.758 2144.666 3053.635 4188.8 5575.293 7238.246
                    ↑実測値            
球体質量ρ4πr^2(単位kgw) 面密度σ=26g/m^2     0.326726 1.306906 2.940538 5.227622 8.16816 11.76215 13.68665 16.00959 20.91049 26.46484 32.67264 39.53389 47.0486
                                 
    各温度での 浮力kgw/m^3 1 2 3 4 5 6 6.3 7 8 9 10 11 12
浮力(単位kgw) 乾燥空気の場合 温度差1℃ 0.004 0.016755 0.134042 0.45239 1.072333 2.0944 3.619123 4.489855 5.747034 8.578662 12.21454 16.7552 22.30117 28.95299
    温度差2℃ 0.008 0.03351 0.268083 0.904781 2.144666 4.1888 7.238246 8.979711 11.49407 17.15732 24.42908 33.5104 44.60234 57.90597
    温度差3℃ 0.012 0.050266 0.402125 1.357171 3.216998 6.2832 10.85737 13.46957 17.2411 25.73599 36.64362 50.2656 66.90351 86.85896
    温度差4℃ 0.016 0.067021 0.536166 1.809562 4.289331 8.3776 14.47649 17.95942 22.98813 34.31465 48.85816 67.0208 89.20468 115.8119
    温度差5℃ 0.02 0.083776 0.670208 2.261952 5.361664 10.472 18.09562 22.44928 28.73517 42.89331 61.0727 83.776 111.5059 144.7649
    温度差6℃ 0.024 0.100531 0.80425 2.714342 6.433997 12.5664 21.71474 26.93913 34.4822 51.47197 73.28724 100.5312 133.807 173.7179
    温度差7℃ 0.028 0.117286 0.938291 3.166733 7.50633 14.6608 25.33386 31.42899 40.22924 60.05064 85.50179 117.2864 156.1082 202.6709
    温度差8℃ 0.032 0.134042 1.072333 3.619123 8.578662 16.7552 28.95299 35.91884 45.97627 68.6293 97.71633 134.0416 178.4094 231.6239
    温度差9℃ 0.036 0.150797 1.206374 4.071514 9.650995 18.8496 32.57211 40.4087 51.7233 77.20796 109.9309 150.7968 200.7105 260.5769
    温度差10℃ 0.04 0.167552 1.340416 4.523904 10.72333 20.944 36.19123 44.89855 57.47034 85.78662 122.1454 167.552 223.0117 289.5299
    温度差11℃ 0.044 0.184307 1.474458 4.976294 11.79566 23.0384 39.81036 49.38841 63.21737 94.36529 134.3599 184.3072 245.3129 318.4828
    温度差12℃ 0.048 0.201062 1.608499 5.428685 12.86799 25.1328 43.42948 53.87827 68.9644 102.9439 146.5745 201.0624 267.6141 347.4358
                                 
      半径 r    1 2 3 4 5 6 6.3 7 8 9 10 11 12
浮力-球皮重量(kgw) 面密度σ=26g/m^2 温度差1℃ 0.004 -0.30997 -1.17286 -2.48815 -4.15529 -6.07376 -8.14303 -9.1968 -10.2626 -12.3318 -14.2503 -15.9174 -17.2327 -18.0956
    温度差2℃ 0.008 -0.29322 -1.03882 -2.03576 -3.08296 -3.97936 -4.5239 -4.70694 -4.51553 -3.75316 -2.03576 0.83776 5.068448 10.85737
    温度差3℃ 0.012 -0.27646 -0.90478 -1.58337 -2.01062 -1.88496 -0.90478 -0.21709 1.231507 4.825498 10.17878 17.59296 27.36962 39.81036
    温度差4℃ 0.016 -0.25971 -0.77074 -1.13098 -0.93829 0.20944 2.714342 4.272768 6.978541 13.40416 22.39332 34.34816 49.67079 68.76334
    温度差5℃ 0.02 -0.24295 -0.6367 -0.67859 0.134042 2.30384 6.333466 8.762624 12.72557 21.98282 34.60787 51.10336 71.97196 97.71633
    温度差6℃ 0.024 -0.2262 -0.50266 -0.2262 1.206374 4.39824 9.952589 13.25248 18.47261 30.56148 46.82241 67.85856 94.27313 126.6693
    温度差7℃ 0.028 -0.20944 -0.36861 0.226195 2.278707 6.49264 13.57171 17.74233 24.21964 39.14015 59.03695 84.61376 116.5743 155.6223
    温度差8℃ 0.032 -0.19268 -0.23457 0.678586 3.35104 8.58704 17.19084 22.23219 29.96668 47.71881 71.25149 101.369 138.8755 184.5753
    温度差9℃ 0.036 -0.17593 -0.10053 1.130976 4.423373 10.68144 20.80996 26.72205 35.71371 56.29747 83.46603 118.1242 161.1766 213.5283
    温度差10℃ 0.04 -0.15917 0.03351 1.583366 5.495706 12.77584 24.42908 31.2119 41.46074 64.87613 95.68057 134.8794 183.4778 242.4813
    温度差11℃ 0.044 -0.14242 0.167552 2.035757 6.568038 14.87024 28.0482 35.70176 47.20778 73.4548 107.8951 151.6346 205.779 271.4342
    温度差12℃ 0.048 -0.12566 0.301594 2.488147 7.640371 16.96464 31.66733 40.19161 52.95481 82.03346 120.1097 168.3898 228.0802 300.3872
                                 
      半径 r    1 2 3 4 5 6 6.3 7 8 9 10 11 12
天頂圧力(単位gw/m^2) ΔP=(ρ-ρ′)・g・2r 温度差1℃ 0.004 8 16 24 32 40 48 50.4 56 64 72 80 88 96
    温度差2℃ 0.008 16 32 48 64 80 96 100.8 112 128 144 160 176 192
    温度差3℃ 0.012 24 48 72 96 120 144 151.2 168 192 216 240 264 288
    温度差4℃ 0.016 32 64 96 128 160 192 201.6 224 256 288 320 352 384
    温度差5℃ 0.02 40 80 120 160 200 240 252 280 320 360 400 440 480
    温度差6℃ 0.024 48 96 144 192 240 288 302.4 336 384 432 480 528 576
    温度差7℃ 0.028 56 112 168 224 280 336 352.8 392 448 504 560 616 672
    温度差8℃ 0.032 64 128 192 256 320 384 403.2 448 512 576 640 704 768
    温度差9℃ 0.036 72 144 216 288 360 432 453.6 504 576 648 720 792 864
    温度差10℃ 0.04 80 160 240 320 400 480 504 560 640 720 800 880 960
    温度差11℃ 0.044 88 176 264 352 440 528 554.4 616 704 792