{ "metadata": { "name": "", "signature": "sha256:f950f31428adb96e6874a689d341215858a626a79b4c5369adc45fb99eb7f1c5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Launch 8 Wind Tunnel\n", "\n", "PSAS [Launch 8](http://psas.pdx.edu/news/2010-10-17-2/) was a very successfull roll control flight. Since we had good data from that flight let's use it to reconstruct coefficient of lift and see how well our model performs." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import utils\n", "from matplotlib import rcParams\n", "rcParams.update({'font.size': 14})\n", "\n", "from math import sin, cos, radians, degrees, exp, sqrt, fabs\n", "import numpy\n", "\n", "\n", "columns = numpy.loadtxt('../data/Launch-8/opal/Opal_launch_rotated.csv', delimiter=',', unpack=True)\n", "\n", "opal_time = columns[0]\n", "opal_accel = columns[3]\n", "opal_roll = columns[6]\n", "opal_mag_x = columns[7]\n", "opal_mag_y = columns[8]\n", "\n", "opal_roll = opal_roll*57.2957795" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 8 Roll Rate\", \"Time [$s$]\", \"Rate [${}^0/s$]\")\n", "fig.plot(opal_time, opal_roll)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Nl7/s3ijRvt3Sn1773qb8e5dy723KvxRChbWIVIdSFZp+PzaRAKD9hBOIvfzy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\n03P77QCYL36R2hNP7Nc2vng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uG28kmt4/etqf/4wvvRo3uAu39Im9+iot++0HuIuCZQ/Z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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 8 Magnetometer\", \"Time [$s$]\", \"Magnetometer Values [$T$]\")\n", "fig.plot(opal_time, opal_mag_x, label=r\"$y$\")\n", "fig.plot(opal_time, opal_mag_y, color=utils.blue, label=r\"$z$\")\n", "fig.legend(loc=3)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YBxvjH1yMfbAx/jQYoqpel8EXRET5WRAREREREY1MIgJVlYG+jzXNRERERERERCUwaSYi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HDsVEsL4FuL9U5rmNVyhvym9JprAOVpHgpceKLOpJHJ7byuSfLWFsmtjxhZN5yN2lqMujq00lKC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\nkiRJKp5Ns1THplmSJEkqnk1zxZX0ytVTdz87m+Yi1Oavrmf2Z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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Trick! Get the orgin to be zero by setting the mean to be zero\n", "opal_mag_x -= opal_mag_x.mean()\n", "opal_mag_y -= opal_mag_y.mean()\n", "\n", "fig = utils.Plot(r\"Launch 8 Magnetometer: $[x,y]$ vector\", \"Time [$s$]\", \"Magnetometer [$T$]\")\n", "fig.plot(opal_mag_x, opal_mag_y)\n", "fig.plot(opal_mag_x[:10], opal_mag_y[:10], color='#00ff00') # mark the begining, look for a small green dot\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0UitbdyBAZNky4ps24ejdG8/ZZ6Oys63kZYMHY+vUidBzz5HYsYOOTzyBo2fP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\nAM2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gshDiWF47UtBobtsaoP4Y+BYsQMnIUKXcBRjM/Rnv/PkYa9e+bLBWGBGhEOFDh9SH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UKFuC2kQeFirDznYKw8GxhcOWiqSmz7dsJLlxLbtAlTpUrEdu6k2GefFXbTrmo0TUMQBLyj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\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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# use numpy to build [y,z] vector from the two arrays\n", "mag = np.dstack((opal_mag_x, opal_mag_y))[0]\n", "\n", "# reference angle, should be a mean, but good enough.\n", "begin = mag[0]\n", "\n", "# storage\n", "angles = [] # roll angle\n", "rollup = 0 # every time we make one revolution, add 360 to this\n", "last_angle = 0 # for checking if we've wrapped back to -pi\n", "\n", "for v1 in mag:\n", " \n", " # compute angle between now and the reference angle\n", " s = np.cross(v1, begin)\n", " c = np.dot(v1, begin)\n", " angle = np.arctan2(s, c)\n", "\n", " # store\n", " angles.append(np.degrees(angle)+rollup)\n", " last_angle = angle\n", " \n", "# how many times did we spin?\n", "print \"The rocket made\", rollup/360, \"revolutions during ascent\"\n", "\n", "fig = utils.Plot(r\"Launch 8 Magetometer Derived Roll Angle\", \"Time [$s$]\", \"Total Angle [${}^0$]\")\n", "fig.plot(opal_time, angles)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The rocket made 0 revolutions during ascent\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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27Pz7XcEj48cXIRoZrEhTE9333Uff228Hsv+aQPZaJM65B4AHwDs7naeJAb3O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+49ST7ppzfNJ+fcc6IvvRR0KDIGuFiMhMeFdTH3WBdct750eat3ZvABaSh4yRs0/1K0LBxm4s03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\n2GSTPseqD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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# differentiate\n", "sample_rate = 128\n", "angle_rate = np.diff(angles)\n", "angle_rate = angle_rate*sample_rate # correct for time units using the sample rate of the sensor\n", "\n", "# low pass the hell out of the result\n", "from scipy.signal import firwin, lfilter\n", "freq_cuttoff = 9.0\n", "filter_taps = 4096\n", "window = firwin(numtaps=filter_taps, cutoff=freq_cuttoff, nyq=sample_rate/2)\n", "angle_rate_padded = np.concatenate((angle_rate, np.zeros(filter_taps / 2)))\n", "angle_rate_filtered = lfilter(window, 1.0, angle_rate_padded)[filter_taps / 2:]\n", "\n", "\n", "fig = utils.Plot(r\"Launch 8 Magetometer Derived Roll Rate\", \"Time [$s$]\", \"Angle [${}^0/s$]\")\n", "fig.plot(opal_time[1:], angle_rate, color='black', alpha=0.1, label=\"Roll Rate\")\n", "fig.plot(opal_time[1:], angle_rate_filtered, alpha=1, lw=1.6, label=\"Filtered Roll Rate\")\n", "fig.plot(opal_time, opal_roll, color=utils.blue, label=\"Roll Gryo\")\n", "fig.ylim([-1000, 1000])\n", "fig.legend()\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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s2TIsW7as3XXGGG13agJI+SYIgtAINSwVOOcIBAIoLS1VSap4gsGgalsuEYRV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E3c5JTVS10PZ6vYXiGQrbcfd2XTlclaLW1SL1oYcFJH3PtnW3MHnfP1SW7723ksdW4X5c16Z5\nWh8p685sM2t1GzflyIw0Rbns2pDm2VH0nnp+iMo2HZL6e55s53HXA7ks30nvXtepKs6u9TH17Yus\nQuWbEJMUzHaeRV3HK7k4WZH6YT/IRikFEck1NvPWp5enHoRzXVw96B5AT3kKMBhAnv700o9qomts\nm7Ou24jfLgqPNrRLkT4SBAFGo9Hi96o210TfcIgzrJSJ+V4h4Zq++bVqLoIic85kMrHipVD2nG9a\nvglpGwUs320SuHx5VwpcJC8u92nT/VhEcgtCcuEC9j/6UcjDHlbqWSbeRb9nVfdfX1+v5D51YNvL\nwoXQgTbh8lzlNEnJ0YrWp/5d3XV6BSWx7jaNKvtWZKW88rWD/Z3KNyEmKaB8150vIHq0BCFlKLro\nJ7nJhq7YthWBonCDJgcOCj+miZ44QNqp9MW9s+05I/r8qo/wa2w7a8n1FvKafsxizrwXev1sVJiz\nocp6r+psdKPEbYDElY2W7+bjU+ZLUi2xbjgJO5wuYDNWMMSZSTyBsHx5Eo44nyzGEZI2fXyOH21C\nos2Vx2JOS9D58+dXe46DcOybJTMLtcV1xMe2b3OIwyrI3JU9eMQj0J8fq9W/fr1wtvNA22DuVuUS\n35B2jBtPie+WN1O8g3XjljbQAKh8t5dCk4aD+FTWNKrM6FrEQlG1EFaV5cyFTZY6sNl/V1W+az8f\n1QRpVggLwn7oFql7UpiyOPqogNWJ6Ta3aUk2vfFm20reJrK8rjoPfCDkta9F71WvWsx3vePjeOUu\nJebb541mk+hx+nk+j43Bj0u45pjhC6DyTYhZHLZ8N42mbB6EVKV82wwvcKlNTJVlMBgkCgd5MV1P\ndbTD4hmOKAv7+/sA/Ejm5QOr9nEfyePx5Au+hfPYIM9Gitx8M2Q8zk64lnoT7boccqHrm3vj8djo\nJlG32403IuifFUy4ZtsDi9oAIXXhkCJCSB24pHybot/vt8a7IBUHNhdt97c6rJRZzzBliTWVqd9l\nxSLcuEl7J1sKelyZ0ry+ws2oKCb6bJ4+4JP1N/Z9VtfH3wAAIABJREFU9M3GPEeNJeX/yVFXafWp\nt5+t+a+O547H41PrrKzgdm57rbC/WhLSZGIs33UPetuTTBq2rVIu140vpNVhViIfUg9VCdhJ41X0\npEO6MFrUIlQQjt8Twjb2Lf+A79blVY94ais+JHzNnXQsYZ5bmheX/3Dyc0P7T9Vz82AwSD9b/uTB\ncYWptCxV0MxWJ8QV9GMkLEwASimnd5htC8+MpyNlsd13bZCqKOnnfDtQN2XbxwVLUhvwbZNgFXZ2\ndkp/d9UN6qJH3lXR50UE586dW/k+ceQJf6hlQyROtstrfY0cL7b9xjdCXv3qqktYGXn6RB5ZKq+8\nFQQBhsNhMdk1rYwOhly4K5V7SpsWFLLMdDpNd6Fr6A6ny9QpPGe2P4llf38fd9xxh+1irMSqiTYb\noeQVcPtrxPtqcOy7i4hUuska7bt5xn40oWKR/p+kgOR9p8FggIODg8S/lxmL4/EYly5dSr3GpkfA\n3t6e+YfM328qgoVqVybmWwSDxz8ecuedlRavKra2tjITgq6treH4+LjyZ+dRvuX7vx/Y2QE++tHk\naxyUvd0rkedQ+W4v0+n09Ic5j98h/hPb/jlpmjISkrV4NuW9qzrlwtTZ0LXU8yoJiHI/wkzs3qrK\n2Spjv2m0zZvo8PCw0PX9ft8Ll+s0XE++V8t8Fyrfnc5q813Md8rWry39IyvvyebmprFnyzd/M+SW\nW5bDnqIEAS5cuGCsDGWg8k2ISWJcjfJkHW3E0UM1E7fgZgmCrih/dQisdb/rYDBwOuTBBHHtWETw\n0NvIWyUmLs7RkXFmG1fmG2IPEWE/sEQV1vjRaIQzZ84srKkqLscFMsZ6gYRrYZnzlN3VTRFTm8pL\neOZ2TuWbEJPEWL4Hg0HmDiUXZ0L8osoxW/X4N63Ii8iJxSFOSKxpPmvLvNmk92zSuzSNpm2eVnEy\nhYjMFOG4HBfa3Bd0OssJ15IU8wylOsxSbyqGPkod1nMjlvAMy7eOC6eTUPkmxCQFj5SoGhetZ1Xv\nzqYllMkS7EwLfv1+P1/ckmUBdJXFMG/Zi54z2+Yswi6O20zCmL8C7Wa735soQ1UJq9qKq+9uMm6c\nFGM8HtdjTZ3T6/UW6/hCOZ2vZ5Jg+U41suiKuGPrXJ7j9VbFiIKfonxH69iFsA+3Wp2QptGCIyVs\n03RBJun9qnzvOgSZprdT69GVb8NtnbVZtMoGXxNDQOrGdPK5IvGbPtW1T2VtA9GTD0TkJPt8UcNK\nkiwYUdhJSeh23m6qSrxD/CNW4IgcKZFE6FpE/KWt2Y4pMFa/k+9lnYaCaoKrZXWPUYljbXd3F0D9\nYzHv89qSkHWVo7V8o0qFSUQKewgRO8i8nXrTafH5LkFx9/3M+yqZTCbFjtmb12Ps5qmDhi/3SuQ5\nVL7bS6wA5qMQXQNeKhcZ2Fa+TdWpiHBHPoN+v1/pkUZVW1/rGG8qze284THfecf+ZDJJ/FsT58Q2\n0JYNlbwk9XGT/dvk2heysbGx3Nbzea6nz9Upp9tIkqVcjxOvWEl0dU7pdruZG3S6q38a4X3S3lQc\n3NCi8k2ISWIm2TgX36rPIk3C1WyYNkkTnlxYvIqWoepkIv1+HxsbG5XeMw+uxz3XkS9ga2urknvV\nmnAtLtu5g5jeLCvaP1zv722mrnXAhfVmVZpkuV9bW1vMwYPBYPndQkU5a76L+1uGy3ohi6+HiEhl\nm1YLw0BaG9DyTUjL0Ae9AxNAGUWzCQJBGbrdrvV3H4/H6PV6hTZNymaode0czDYjIhiPx7VsllVm\nbQkt3zWc903yYXv+IsVo0waMD30zCILk9TTOyp02lya9b8x36GlWggLZzl3AvRIR0iQsZztvOkUX\n8H6/j7NnzxoqDQmCAMdzJSzaNkvJaogTrBpjev78+ZNfdKHHs3O+q1B6JpPJ0pm8ReemvNePRqPc\nsaG2Q2GIf/igFLvAkivzCjHfrmU795aUuqfbOSFtw7Ly7WI8WpW7+2Xu1eYjrEyTpsgFQRCrNJi2\n9tTV3iZDR0wmZAzLXEbo1r8jobVmOq2kXKtgSoFIa9/xeFxLX9M3TLK8VUyeYnD+/PlFOeo89skF\niozzIn2xyLVtspLXQeFwrflY7/Z6CMJ1L03eSzrn20HF0Dc2NjZo+W47Lio7pB6mcUKnY27nZeh0\nOsbiuKoUkm3v2Me2f8sIgmBhDV1FODShxJjsH3GJNofDoTMbPdF3zyNo7u/vFyt/uPYdHZ22BHlk\nTSvTb10d+ybdV/U+lXX0m01Mrws2k+yGiR7bgGkvjsL5Neb1Pu10Ttogb1vop+CUDBMzTSjz1dG/\nVj13ezKZUPluO1S+20usANaAc7673W5liZ+qYtVxZmKcuiiAp2VXNkUVi7VvR67ECeAuC8XhmbXh\nz1EuXLhQaMNtMBjEK98toezY73Q6lBng9ljJ4vDw0HYRvGDVNnbVu+Ko0yke812hXGhig3cwGFS+\ncZfU/t1ut5qNFZ7zTUh7yJw0PI35jk6ULrm49Xq9xUJcdkHf3d1djletCdeFzLo9EcomhyPFiBu/\nQRAsfb6Kd8twOATue9/ZLzfcUPo+WUT7lAnBczQa5VaIV1UIqsxob4umZLeuaj1YX1+v5D55qHs9\nccWTJ6TKjSu9LnOtS6vIRBW6nfd6vUzLsUtyx+7u7tLvZ8+erWYOSYv5dqzfAlS+CVmJzElDdy9y\naAIk7WuPXq+XeWTY+fPnl6yiJhmNRrUKqqbxrT+FgnSogGedu5qFPOYxkFe8AvK859Xmbm4igV+3\n26U1WmPVfpFEnCI3GAxiFZ86Nn+rGr+uKahprDJ+XJjvTG3e9vv9/HOAftRYzpjvpfhvy5tXdbej\nlbnVgb4axZ9ZghAfaYDbuWtUvVisknDKJ4IgWBK2qrRYNcX6ZZoq+lhWfG1e4V9EVjpeLu5d5HGP\ng8TFkzd8bDWVIufxFt1Ii7PWbWxsOLvxkbYBYDIhYhZFTu+IjtkmeR6dO3eusnvlmqfD/pCkfOel\nBrnQhueiNXkq5rnKwdAQagOErEjqAlbS7dwlN28Sz2g0OpW4qkol1PTileYyW7T/2RI+67Ay1Xk8\nWp7Yt6x+sbe3V/g7lZPzqLGqy5UWx26DMuXI8k5ZFVP3N+nF4kp7JmFz87HssweDgbMbHWWw5nGQ\nV/lOkgU7HQRBELseN6l9tre3zW72xNR97yEPmf3JwXqk8l0xNjNfEjuEO8+xgnMDsp1XgevCUxl6\nvd6S4NPr9RIFgLRFp0nWhzSS+kCn0ymdLbmOc4zztE9VyWlMuVHrFKlrX8dt0WODVs3WndQPo3HE\neeqzbJLEvBtmNpIwrkrau6XNAXWE0BQd+65srI9GI6PZ8AF/549czNuxf/16rPK9+CmuDiJu50EQ\nnJqDzp8/fyo+uiwutMPa2prRcizurY2v3be+FTu/9EvoPuABxp5blvZqA4ag8t1eYoUATxOuRck7\naZpezF0mTQiMCrymrVs+ISKLXf+iyrRNoUK3SuQ98sdGeSeTyZLAPxqNcn+3tKKQ0/Jd/Lb5lKmi\n9Vz4jN8IdWwCmaSIe7lpXFAUoqQpqtF6c7H8ttDnDxP14kJd946PT37JWZ6lBGAJngtp7xbn3eQi\ntbZPzLM629sYfsVX1FeGAlD5JsQkDli+gyDAaDRyYqGyjS2rg4gsWcFctz7Z6iu+CBXAaSW20+mk\nut+PRqNTVug82bKrOi+8VuVq3n+q3oxbW1tbJABbJV69LPr8MRwOaw1JMI0r60N0XK3Sbzc3Nyvx\nLFpbW8tdjqw1xpV6LoKPZTaNhHObHk+cd55eMdu5ic0+79vYs/JT+SakLixMDuvr6zhz5oz3x9k0\nAe8Xt5opulHiQv2aiP3c3t6u5N2qcmEMySUAGsh6brOddUWuaTGzrlLGKyFU4EejUa2xwGfPns3s\nn2U3gKs8/rOuMWT6OTZd+GXuvXb82c/mi/VOynbe4nDESnFg/S8CW50Qk1g+aqyqmDdX4tSA7HpM\nOtOYEFcxPTeUvX/a91Z11a6LOs+uj5t7mmQd94W1tTVjoT1pfSBt8y1uA7zIulTXGpz0fnU+v0ho\njC2697nP7H89nlhvz5xHja16zncVuFTfnU6nXHliYr5dhhIpISZxwO28LCZdo+veiBgOh42PR3fB\n8lsElzZ0imC7nkOB3XY5UnG0bFX1uSL32d7eruSZtnG6v0UQEedDe0g8RfIPWM358UVfhDM/93M4\n87rX6QXK92XHlO8qPSNXHXfdbrfcxplH8xNA5bty6IbWXqbTafoFjk8O0YXMJcuWC4paVuxgZvtX\nRJ44YWKOuHN160q0qVvWiowJ0+PnlAUv6mrpyNxnygpd19gn9RDmFchDXWM/TtH0aUPEBaqur9GT\nn4zr+nqcktk86dmuuZ33+/1K5knrx1s6jlut3gCofLeXWAGsoOXb1cU0q1xtOS4rDRMCeFq9d7td\n4/Vey9EgFqmqDId60p0WEgSBE+2ZhSn3yjYo36Y2cGyHXJw5c2bxc6h0FymTq2Pfpc1zoJ753kaI\nx1L7F7B8D57whNnPJZOnmUpO2uv1nHJDbypUvgkxSVoMEKkUl4T/OspS9/FAoStY9OzisrjgzcBE\nhIZw1PJdFXWMb58y/0epa/6rAl1JHQwGTq0jq1BWgfL5/a2FeGQkVYv+LkGA3f/6X3HhL/8SUtLt\n3IXjDaNnk1vFs35L5ZsQkzTknO8qWVXpqlo4WMV6nKcsg8Fg4S7ss2ATxnLV/Q4mk+W5sAFQlmg7\npLULXQD9wwXhWse1uUtEcp0uEF7TlNj7vJTpP51Ox7l29ooUt/PoZ9LvIzC0+Wvi1A3XWfRbT9Z0\nKt+EmESfeB2L7YnS1ozgpheqzc1NhqOsQLfbTYzBXEVQbFqohNMbCTHt1Ov1sLGx4aX3gdN1bQCb\nY2VVZTDcNIy6JNfdht1ut/Qaa9PCqLvlR/E5iWmv16t+oyHPkWNZ15ElcstnntVpO6VtQupCdzVy\nYDcybbFJEwyaIGyustC6bA0oU7bBYOBcTGBeiiRD0jHRhnt7ewsB1OU+Yo0Ut/PBYOB1P0zCRD+w\nvUHRts1DE23Y7/exvr5e6ruuJtn0+Ri99fX1epXvnNc1bVN4Vfb39/NtWnm2/lL5rpi6Ml8S94h1\n83Is5rvb7WJ3dzf2b/pCREWiOGXdRFfd2CgT2zcYDJxd5IvUxypKQRV9PBQKbFiAXMp2foqWzR+u\nuYg3iX6/73QCKJ+tv+Q0RTe6ltq/zDnfEeJO0yA58GzNabTyLSJ/KCLHkX9viVyzLSJvFpF75v/e\nJCKbkWvuLyK/JSIXReTTIvIaEYldbal8t5dYAaxChbYqZalMOUwp4y4o+VWVwaYAXjRWrwmeDMDM\nIlRW+D1z5sxCqF/VsuiSZdCFMeWbILQqVL5nmAhd6vV6TltYbY191+bwpE193yi60ePK3K/3ByfW\ngLrx7J0brXwDUAB+EcA57d+zIte8BcBNAL4SwFcBuBnAm8M/ikgHwDsAjAE8DsBTAdwG4JWGy06a\nQIUx33UkjEmL72oqeYSY8BqbVo60zZf9/X1nLdmuoisKJl2f8whCYSb5Ve7rVMK1htP0+gzjpIty\n7ty51uYOKULYf0SkMYngspTQpo8ZAOkyXo35f1zbmKkFz/pXG6S1K0qpO+P+ICKfj5nS/Vil1Afn\nnz0LwHtF5Eal1P8A8CQADwFwf6XUP82v+QEA/0VEXqyUuljLWxA/KXjOdx7Onj2LO++M7dIr40P8\npc1FfHt7G5/61KcS/26ybE1yRysr3DeVOhWWWsZPmstlA2iCcDsej3HxIsWXMlTZ/j4ppT6V1QoF\nsp03HfaVdNqwRfktc1fxvxaRnxQRXep7NICLSqn3a5+9D8AlAI/RrvloqHjPeSeAAYCHmyw4aQAG\nJqC2WxZcntR9Ecpt12EQBLn7se2y1kVV56e3DR/6RzRjb5VlLnuvtCzCLtdpUyzFpF7Onz9vXnbK\nGddtYny5OGZr3WR38P3TaLoU/xYA3wrgywC8BMA3AHib9vdzAD6tf0HNpOc7538Lr7kjct/PALiu\nXUNIPB4dNeYLNjL/uriwrYIvmwRNIG9dm+xj1hKupWQ7bxNZLrl7e3vGBHKbx1SZoKr4bxfi9Fdt\n87Lfd2E9q7sMVjx+Vr3Oc8pm9y+FZ3Xqndu5iLwUwIszLvsypdR7lFKv1z77iIj8TwB/KiI3KaU+\nXOSxeS9cW1vDi170osXvj3/84/H4xz8eg8EgdgE+OjrC4eHhqc95vV/XT6dTAKcX9KlSOJoLC/0r\nV3D5+nUcHBwkJuabTqe4fPkyrl27tnRNkqAwnU4Xz9bp9Xqx3zk6OsLR0REuX76Mg4MDXL58eXF9\nnMv5dDrFxYsXcXx8jEuXLuH4+Djz/uE9gVmccvRd4q7XyxK9v75oTqdTHBwcAAAuXbqEIAgS6yBa\nnuvXr+Po6AhKqcT21e8VBMFC0EtSXvT7T6dTDIfDQu97/fr1xfeSrg/LHFqqLl26lPi+YXuJyKJc\nIpLan8Py6Fy/fj2xPIeHh1hbW1u8w8HBQWIsfHj/8F3DNk0rz6VLl9Dr9Rblv3btWqLyEl5/dHS0\n1HZJ/VO/5uDgYFFPaePx4sWLS33z4ODgVP2H3w/r5/Lly1BK4erVqxCR1P4Zrfu0/qyXJwgCdLtd\nXL58OXV+CK9fW1tbaq+k/q+XJxzzSUJUtD+H46TT6WCpRPMxPO12cXBwgGvXruHKlSuLsT2dTjPb\nC8CibHn78+XLl9HpdFLvr18b/pw1fi9evLiUY0HvH9HrDw8PF3OVPi51wrJF6z+8NikJ1NHREa5e\nvYrLly8v5tp+v794XxHBeDzGvffem3r/4XAYawkPr7906RJEBNeuXUvtb+H7KqWW3jNpfgvvH9ZL\nWLY87QWcrAFp80M4HqPrXdL1ce2bNl7uvvvuxXx1cHCAq1evJpY/nK/6/f5iDIdrWJxVVn/f69ev\n5y4/gMX7Xrx4MXX+CefPsDxx85tenqtXry76xPHxceb8c+XKFQDA8fHxok6zyhMEwSl5IO19RWRp\nHB8dHaWuL0dHR+h2u7h06VLq+x4dHcWuhXp/ODo6OpnHggBTra93Dw5weThE7+pVdGOs4kXlz3A+\njK4ZUflEtPsPh8OlNazb7UJEYut0PB4v7q23bafTyS0/hP0tbsxnvW/0PeKuPzw8xHQ6PZXjRkQw\n7XYxXVtDoI0B/f5FyxPlXe96F9797nef+rwM3infAH4KwJsyrvl4wud/jpnF+kYAHwbwKQB7+gUy\n67Vn53/D/P/HYJldAB3tmgXdbhcve9nLMop3Qr/fL5Qtkde7eX1UeQzpdbvozhefyWSCa9Mp1tfX\ncXh4GCvg9Xo9jEaj3EdBJSkZWeW/cuUK1tfXT03icfefTCY4Pj7GtWvXEpUy/f76BLq1tYV77rln\nIWzEXT8ajbC+vr5YpLPKEyoCV65cwWQyWSiCSeUBZotKqPxFFQldudfrs9PpLK69evUqrl69mlh+\nYLboj8djTKfTxD6lv+/BwQHW1tYyr+/1elBKLcoSboQk1c9kMsH6+jouXryI8Xicuvusl0cnVJjj\nrg/LqpTCxYsXM+/f6XQWyl/WTni/38d4PMZkMlksikkLoX59t9tFv9/PPG1Cb9/wnNeDg4PE+4f1\nqffp9fX1U3VzeHgIEVnUz8HBAUaj0aIPJY2buLN/r127lmilCctzdHSEyWSCbreb+s7h9UEQLPpc\nWhtEx0e4aZKnP1+8eHFRT+Em3an7X7uG9fV1XLt2bWl8JY3f6PyWp//o/fng4ACTySSx/vX31etG\nKRVbr+H9J5PJUrnuuCPqHHdyfb/fX3rfsL8lzf/6O4b1kjZ/9no9XLx4Eb1eD9PpdNE/st5Xv3/S\nWhNef/36dQRBgLW1tdh5MPq+4dygfx43v4f3F5GluSStP0T7Z6i0xilQ+njMs94ltW8SYf/Ux1a4\nCZJ0/3BOvnjxIjqdzqJ/xvVR/X115Tur/MDJPDWZTBLbLCxPv9/H8fHxUh9Net9wLjk8PMRoNEp8\n1/D6cC4bDoeZ7avP/2n3jb6viCzdO2u96Pf76Ha7SxuLcXNunmPudOWtB6A37+djzNrg3qtXgei7\nzJ9VVP7U+5tOVD4J52Fd3tM3ppM2G3QvmVDOmEwmueZ//dlJuSSqkLd7vV78fC6C3rVr6F25gkAb\nA0Xvn8att96KW2+9dfH7j//4j+f+bhTv/GCVUncppf4u41+SFP9QzJTmf57//n4AExF5tHbNozEb\nN++b//4+AJ8vIvfRrrkVwCGAP6vsxUgzyRkD1HRccHMrShVHshW9x/7+fuY1/X4/1319SJ5HTtPt\ndv2Pa426mzPkxjhKKWxubjo17l10ebcRtkROEwRBYhLRuuWFytyj0+Q9y7Jgr9fzf12ZE9s/PJMx\nG7siisiDROQ/iMjDReSBIvI1AH4VM+v3nwCAUur/BfC7AH5eRP71XAn/eQC/Nc90DsySq30EwJtE\n5CYRuQXATwD4BWY6J5loQqdQAHWSPPGw/X4/13FQ0XuZEISHw2Hhs0ij+LgZEqXtiQe9gm1VC66N\nifF4bLsIp1h17qySqudh33J5lDkes661a2Njo/j6bTHbuW9tvwqx7+qZTOPWTF0tRwC+HMDvAfgb\nAK/BTNG+RS233LcC+Iv5db8L4EMAviP8o1LqGMCTAVzGTGn/VQC/BuD55l+BeA8TrjWC0OWyKC4K\nn0AzFuombCDUhbWEayErzH1VWWvOnSueH5V9jBC3qGsu6/f7xTez0uaLGi3frZy3PHtnH2O+c6GU\n+gRmWc6zrrsHmrKdcM3HATylmpKRVkG381hauTig2Hu7UkdNUNSJHRZ9OOVYqyyq8h5xzSq8Kk1x\nISXliJuXXVkzihLmNfEeR7KdN6IuU0h1O/fk3Zu1GjlAVsIf0lxiE7ToAp+nC2NbKbqA6cllSHPI\nE8eflO29taTFOyaQJ9+Bq1RxbFXRuaOqI7dIMaLt5NLYN6F0VXXPtP4dzbTvk/K41P4pxhb9/Skn\nECrfFUPlu73ECmB0O3eeqhbCVQRwLsb5cbGuimRMtYHtOpMVLN8+4MKZ0aQaiip+WWPf9tiLI+5Y\nOVKOpfbPK+M52Cei2DqDfoUH1vu8FaE2QIhJPLJ81zVZ5hFuzp8/X0NJiI/4ZBVpLSWynbumpITH\nPpJZ7grWRb0EQVAqT0Ge+7o21oIgyL0h4FrZc2M4BNHbeinI2toa9vb2Tv/Bs/dvbMw3IU5Ay7e3\n5FnMbC54IuKcItoWASBKW987kQoTrpkkLZ681+s579FQF6Fln5599ZKVp6Ap806RxKRKKXff22K2\n8+Xb57u/rx47ce+3+MwxmSgJN1dEQpqCp3E+PpV1VYoosG2qlzKY2gzwud6rSvS1Sh3UvUkjJSzf\nJBkR8ep8ap/HK6meonHx3vWf6HwX/TnrbxWTd773aU3JxLM+wxWREJNQ6PQW5xaXCK6XzxRVCWZ1\nCXhBEFRy5JxP7X2qbmPmweg1Pr2fDej2TVbFF6XW27nAcLZznzbgaseTvh1CzaBi6KbWXqbTaWX3\n8nbxcYwywkbZo42qbH8fEBGvjm8yKXi67o5rPfmNR/2kDG0b+1Xii0KYhK2x3+/3KW86wFL7p7mY\nV2D5TtuAa73MqNWpD+OCMd8V40OjEzPECmA5hU6XBZA6yubSM86cOYNPfvKThe/viwC+ublZWX2b\nSAgUxaW+kcTh4WHq31tntawo4ZrL86LOdDp1QvgtW195jtNzmTrLG33W4eFhbrlvMBhUlmk8bZO4\nyXKoa30za+6PxZGY7ypYX1+v7VmpONYvsqDyTYhJSlp8XFpgTAqVLrynC2UoQ9mEayaPmfG1Lk3j\na2KbyijZ58qcehD9Tp190ulkUCkopZzYPChLnWXf2tqCiOCzn/1s4e92u110u13j5d3e3jZ6f5KD\nlJhvV+aIPP0wy7vNGeU7xJN5rNm+YITUzKmJquQk67Mg1BRcWSBJOm1pJ6+S45RwO6+qjL72B+eE\nWBKLr/2rLGtra9jZ2bFdjAXeyUYWsp1n1dFwOMx9r6LJ8qzh2bik8k1IBYST2Sl3rwITwmAwQLfr\ntjNKm3bU61rkJbIjXjbm3AW8E4xIPTQ85htYXSmz6SrcNIWyae9TNVn1oytcIlKJt1Qr2iTvO1qa\nD7vdLtbW1hZynMk2sZ5nxHGavyISUgOJSkeBSXZ9fd3JXUZ9Ei2yY5oHF5Q122XY29tbtHsQBDhz\n5ozV8pB81L1Jsko/tS4ItUD5tj2PDIdD5zdvTdEKxa4CRCRXH3HJ0u0rLvbIXq+38LBhG9ul+Sti\nzbie9ZaYIzaus0KhwAcBo63CH1A+rteHds1L+C6+ZUJfFRc3zZwiYjlrUp8H8o190++8vr7e6vnX\nFtGxb6qdRWRl74her4fd3V2vE7K5Nncstb/hbOdpRD3osqhizUp7Tu19LK6eHaY90lFNUPluJyJi\nXPn2gc3NzUKTrohgf38/9nPfcEEAd4XxeHzqTNImv3sdgoZX9VdCEPLq/SI0IaGez/Vv0+ugLiUj\nCALs7u5Wcq+qPdjy4HM4VRql2t+Rsba5uWmkXYbDYe19bDF/OeBNmQdukxJikoKTrE0hwpbw1el0\ncP36dSvPBqp97263W+kGXNmM5oToWE+4NrfIdm+4IfEr7Od2Yf0Tk1TlHeTkiQJ5ymPY8q2P37xj\n2bVNw+iGfSFc6xMZUPkmxCQtcr3NS92L5/r6OiaTCe655x6jz+l2u9ja2sLly5eNPsdlnBOKiBNI\nt4v9d74TnRrOhSeEkFqZK7sigoXam3LUmG+KYl2sJD94VqdUvgkxiWcTgilsKmUiQqWwBi5cuGC7\nCCQBawnXtOf2/tW/qrcMluj3+zw2rAVMJhNcvHjRdjFiaZrH1MbGhu0ipDOv68nGBg7yXG94Pm6l\nvOPZO9MsR0gFJC50nk0IJskjDFQttEYXoSZ/1kfDAAAgAElEQVQJJE2nqljKVgoitmlxnfuWbLDT\n6XCMlMCUQuhz0jwTcb5BEGAymSx+z+qrNja+1PHx7Ie4cR+zESkezQ/e4FnMN3tAxficRZKsxnQ6\nPf1hwYW0DiHI5cRg4/G49mdWpZDHtj9ZUHRuLJpcyObGSlMTbeZJxrO3t1fJs3xWAE2PfZN9e2dn\np7bYT5/bOImqx77PR0CF50dXybmCoSp1K99HR0dAqHznPQ+9geOAFIPKd8VQ+W4nIhIvgPEIogVN\nFLx08ghhRSwDQRBgMBg0pt5sbKzUxeHhoe0iGGFzcxOdDIEyVXEr0Hd99kopqnz7Mqartu760sZF\n2qepY5/k4/Dw8ET5TonrrnPM+zLOKsWTOTWEyjchBhGPXch8cn9LizfOWojqXBSzFJko/X6/lRnw\nfYR1pcG68JrQdb7JG2bET5xULMOEa2lu51mfkdXwrE6pfBNCYvEpbtEWVLjMwHr1nJrbb39/v9bn\n1U1TxkNT3oOQJcINgbT+XWO281aOM8/emdI1IRUxGo2WEoO4xs7OTiXW7NFotPR7nrjQMpw5c2bx\nc5zF2MkdcOIccYJIWlyl64JLUe8JK8QkGTJJ0Trxog41ONcRMsPJ+blomVx8B89xsl+kQOWbkIpI\nOtIqePCDgSc8Idc9TApZ/X6/kglqa2tr6fdBJK5dV5pXQVfqd3d3axWYoxsMxC55+23e63zOzdHr\n9YxteMWxsbFRW0KuNuOb8OgSnU7H/eOoPKfT6Zxa60NMJFrLS9HEnEaYj91F1nPts9iNSMNjvY7N\nOuc2BD2bP6l8V0xTs96SbJIE+s23vx3By19ec2nMk5SFtAnu6mWUG1MKHYVy90kSSm2yublZyX2G\nw2HxMd2yPuva5oTJ/hgEQamM3N1ud2VFKbrxGyIi1rzOXBz7Juj3+0tzytra2sKTzsQRY74wGAxO\njhjLqZDyqDEDeLbmsAdUDJXv9lKF8tUGRWswGFg5i9M0rgngpBxlxqCLlnSrybJyuJ03aa5zbeyb\ntkQWVTjDtl61zbM8kmwo4C6O/TqYTCatfXedfr/vnNt5k+bW3Hj2zlS+CSFGiAqkoZtSt9tthbWA\nggnxjaYnLiP5qdKttOi9ylrIXVM6kizCdZTTObfgJpNm+XasTxI3oPJNCDGCiFgXAGwKY1XFotmu\nQ99ZtQ+ISCs2iwADichEGItLABQbh/1+36ujLpOwGQttk7Ctm+jhFseib+trdbS/1xjz3Uo8q1Mq\n34QQAOYVVdtWCdvPJ9XQ6XQyBfM499RVk7a1VZAuhVaHeZSo9fX1RuSKINWRlMA0yng8XtrgERHn\nwgDaxHg8XiRdbU0seJzynYbhua6VG/aeyXdc7QgxTNOVvsFgkJiAp+nvXgesw2WSMhvrAkfZbOBp\nwmJrBMkqKNhn19fX2c8bTpJCsGq7dzqdJY+NtbW1xvcll480BVq4ZuVJuKbViXBzqHo863NUviuG\ncZ7txYVkezasRyLi3bm5JphOp7aL0BqShLtVhb6y87cLY99F/BKHysOxn06TlTEbYz9PKEfTrZ+u\nvN/R0dGJ4qcfNZaG4ZAKk+NNzwvi1Lh2qSw5oPJdMVS+20vSIlznIpG3/8UlVmJs5moUFcLaEg/n\nG2UEisPDQwMlqYbRaFTqaKhVqFooO3/+fKX3qxoq325z4cIFY/dOGvtlvW+IXxweHi4s3ypnzLd4\nms+g2+06a2hxaiMgB1S+CWkhcROob5NXXmzskDe1Lomf1N4fK34exxPxhTDHQRj3bIPQA47jph46\n883NIM6AEdcGnrqdnz171nYRkvGsr1P5JsQwaQug1bN4K4ILvD2Gw2GjLSxnz55dOetxkf5pw0pc\nJ3GxopPJxFyCqhJzg4nY+ros55ubm63yaOl0OrlPAkgbh01aQ2wne9Prskn1GsWld9v84R/Gxgte\ngPV/9++SL6oo5jvLi8Pmpo9VHOoPeaDyTYgFQqV7c3PTckniMbGw2Y7RCoLAqQW7CgaDQaOPwep2\nu7W3WZOzbseFloxGI6eOdTIxJ9bVh/Jm6G4K3W4XW1tbua61Pf+3hXCjqdfrxYaXkeoJxmNs3H47\nkDPsjwnXDODZvNtcKYMQh2lL5uS6Ba40T4KNjY1WWKVsW16qZjAYVKLQtMUi4ITy50IZSCmc6D8e\nsr+/v1LdrZovKG7ta3JbOrmZE3eWd/R/AHA0bprUhzvb3Q2BWW/bC5PtJdNkISCkaPubOC4mCILK\nN3ZsCzn9fh/Xr19f+T4m++Da2prTSdes4cC4r2PuadqGVxvm66oIPY9cTURlmnPnztkuglVKeZ61\ntK8YxbM5i5bviqHy3V5cU75di11teixaUQG8bS6qdZBVn6Zif5PG/vb2duMUszaStaFVpo3X1tYa\nHeLQFlxb98uwygZrmT68vb1d+nmuobd/3rwGwnG/Mtvb28veHp7JUuwBhBjGloBFxY51QOz2gapc\n5r0j451FxKk48yxMKAuuKm22PV18wkbC1CZYmtsSdgdgaS7c/KEfQrCzAzEY/tbr9Yx41bnGqRw+\nnq2zVL4JIcZopeJBKidPP2q60tDv9/2zGCW0WxAEjc7S7zsisrLHhsmztVdlb2+vkvvYSJhKbwlP\niDnne/2Zz8SFD30IYtDtvNPpYDQaGbu/s4T17cn48KOUhDQAKqKEmKPT6ThrTdTZ2NiIzTqehYh4\n8X4AgHAjhHOed4ReCbu7u7aLYgyGghDSMOIS2zkMlW9CHCTNiue7Et90CyWxQ6/Xi7UMuyZotyrW\nvy3v2SB8mp/X1tZam+jMBN551hBruDZP+BZH71dpPcAbywSpHCbbO41rE7QJQuVuOp1aLgmJo4yV\nuSgc+xFapnRz7Nthc3PTeu6AJoz9cDPQFfm12+16c0Z5E9o/DhHx62jWcBPOE5mTynfFuDJ5kfqp\nchJuomXMliJe5rmDwSB3tvgwftDUItztdq0LmKsQBMHKiYmqGA8mxxSPGYvQMrdz15VvWofN0YSx\n7+Imuek+2+12K0mYl7v9PZwLqXybg8o3IQ7i4mJYFUWVIBsbES5lYx6NRl5nLxURK4mJiAN4KHA2\nkSLx23XOt1UlPmsCnU7HmTWnDVSlfGfCObAWfHM750gnhNRKkzcWbNJEb4m6YN0Rk0TnPJf7W53z\ns2v5GGwyHA55AkCTcXjMNwJavgkhhJDqcFlZITGUbK9+v+9lW3c6HS/LDXAztAmcP3/edhEqY21t\njcepkeJ4FlrDHk5IixkOh7U9y1fhtK3QKuUunU7HbQG1ZMz37u6us/NEWgKo3d1dxlUTa7g6Zsqw\ntbXVDPf76NFXDWojF6HbectpauZDks0qyfZsLZ6mn2tbKDCV6Xpzc/OUsM1ki+1lMBjUmngpjKG/\nevVqbc8sRYMEzjTlejAYFLrXZDJxdvNke3u7GcrPChRZt4q2PWkWbW5/2/LdEp5tfro5+3sMle/2\nUqXylfdeTXI3M0EQBEaE3F6vd+q+q1qKaWme4ZIbbN5sr9x4iccp4cwgWe2/vr6O0Wi0dL2rCu5w\nOGxNu1VBU8b+2bNnbRfBS3K3P8eUWTyrXyrfhDhIXkWsCiEpLuNnVcKXS4qU67iY+VdEnBfETZbP\nq6NWiLP0ej26pROncXUzyFeEbuckBY42QjzBdSUoCxOKuO914jIi0roMvCLCDaMq4fgkhBBiGs/W\nGlq+CamA8XicmLyMO8onBEHA+vCEUAmte4ODGyr+cspTwIG29Lk/XbhwwXYRlhCRxlvwmTyPGMHi\nPNTr9eo505zkhso3IRWQFsPng7JZl4C6sbHRmBg5YgZfLc8+K3lVccpLwoE6ifPcGAwGVLBK0Ov1\nnAyPqRKuTzP6/b6xhKWtwoE5sNvtLuWcaCQO1HMRqHxXDCfu9uJzsj0mblud6XRquwitxIWs0T6P\n/TaytbVVaYJDtn97aWrbB0HgRchRt9tdnP5gg8T2jyiD3Jw1i2/1a19qaRhUvttLnUcNEffwVQjz\nfePFpuAVwrHfbtj+7YVtvxqrelIEQWDVqsv2dwTPlG/3/WEJId7jQ9Zsn6iyLtkuy7A+qiOgazch\njcHE3NiaIza5rphl3o/EkxNKqHwTQohnMBbPHkEQeO8tUBsUOAlJxdccF4S4RO9BD8Lmi1+MtVtv\nxb22C5MDup0T4jlUxAipF1rHc8J6IiSW7e1t20UgJuH53rWz/t3fjd6DH2y7GLmg8k2I50wmE9tF\ncApaEggh5AQRiXXv5SaSPcKjSdkGpEmMx+PTR06SU1D5rhhfky6R1RkMBraL4DRNV4qZbLG9cOzH\n0xbFwmT7VxETGwRB448IswXHfrvJ3f4tmQs7nY4Xx+vahsp3xVD5bi9VKl+cvPyjNYljyCm48RIh\n3GirUOB0+Zxatn97Ydu3m7a2f9ONKaahhE+IY/T7/dZO6DbhYkJCRqMRrl27ZrsY/lOh8r21tVXZ\nvQhxBa475RiPx7aLkM587uv2erim/U4IQOWbENIgut3uQpi5cOGC5dIQlxCR3IJur9ej8l0FFDgJ\nIQagpxnxGbqdE9Ig2hJjmcR4PGYCOkJs0/J5qEraPqcTUiWdTgdBYEH14TgmGrR8E0JOYULg80GI\nXOX4Fx/ej5BaWDHmezAY4PDwsMICEdJ82uDCvrm5afX7haFcQGKg5btiGKvbXphsz3/C41/KMJ1O\nKywJ8QmO/QRKCp47OzsVF8QsbP/2wrZvN4ntH537qIQTDSrfFUPlu73QUtNuKIS1F479BFoicJps\n/9FoxPhWh+HYbzdtbn96+5WHbueEGKDb7TJhU4Q2uMQR0lSYwNAOLh+xRtxhbW2Na6zLUFElGlS+\nCSFGYQI00nRoASCE2GQwGNguAiEkJ3Q7J4ScotPpLH5eVbHY2NhYtTiEEB/hpoTz0FpKiAHCuS/6\nf0OwkjG+QdDyTUiDqMoCp1urKZwR4j4uWt9dLFPTEBF6F5FGwlAXd9nb27NdBK/h1kXFMOlSe6Hb\nVzGaFsvIZIvthWO/3dhu/7zeRdwMqZ4q2p7t4i95259tTHSofFcMle/20lTly9SisbW1ZeS+tmBG\n4vbS1LG/Mi0ROH1p//Pnz9suQuPwpe2JGTLbvyVzICkGlW9CSC1w55eYJOxfm5ublkvSfHIrHBzz\nVhARKoUewdCuBsK5j6RA5ZsQyzTN/don+v0+ul2mvmgS4/G40PVMHFOMIAjyJ1GkAGoFEcHu7m7m\ndZubm5z/CCGkZih1EGKZprlf+8R4PMZwOLRdjMpoigUlj5fEKu+q3//cuXOl7+MSTm7iWVa+qVim\nMxqNnNl8YnIt0kgamu2crIYbsy4hpPE0RTFsAwwR8A+22WnOnj1ruwiEEELIElS+K4ZxVu3FhWR7\nFMDtMZ1ObRehMmxvlOR5fpG+vr+/v0pxMjk6OnLGgugULZmPXJj7iZ15i23fbnK3f0vmQpIPSgsV\nQ+W7vRweHtouArGIC0IYN1+WCZXuTqdj9DlHR0c8a7nFcO5vL1W0Pedtf8lqf7YtiYPKNyGE1IhJ\nRdC2xboqqor5Nq10J1GXwOX88XYUPL2g3+8bNRx0u91G5dYgpDCcC4kGlW9CCKkR0y7QxD5FM66X\npdPpYDAYJP6dfY3kYTgcGk3Y1+v1sL6+Xug7QRDQakgIaSRMBUoIaT07OzvWrKSm6Ha7pd+JQm8z\nsN6n2Y9ISXZ2dmwXwTjD4bAVGflbuZ5Es5y3sQ5IIs0f9YSQ2rlw4QI+85nP2C5GbtKsh0XJc75u\nHRS1NBFSNasI3U05Ao7Ux/r6ulehN+Ec7VOZy7C9vW27CIQ4BZXvinEh6RKxQ5UKXFlc3mF2uWxV\nEMZMMuli+ygz9jc3Nw2UxDFWGPOuZo9fX18/5VHgwtxPZmtM3euMibZvWvLGJq/9udu/wXVAikPl\nu2KofLcXH5WuXq9X28LY9N1955NftYw6Xa7LjP0qxx29HOojrq59nPtJNZho+42NjcrvScyQ1P5C\nt3OSApVvQlpMXYmhCCHmcNay5Gq5ctD0zULiDs6OX0KIEdz06yKElMZVd01CSMugUkEIIZwLyRKU\n0gnxhLy744PBgAp4CwmCgLGnDkHLKShwEkLaTcvnQHp1xEMJnRBCGkC328WZM2dsF4OQRkChkRBS\nmsj80db55Pz587aL4CRUviuGiVfaS5OT7QVB0IrzSFdhOp3aLgKxRJPHfilCQfP42G45aoLt317Y\n9u2G7U/KQOW7Yqh8t5fDw0PbRTC2u9rr9bCzs2Pk3k2Bi7D7mBofcWO/rZYOACfKt4Ou9xcuXKj8\nni7M/cQObPt2k9n+bV4HSCI0ZRHSIEajEY6PjysTCEajUbuVCEJILrrd7mKu6HS7uG65PEWJukcy\nZp8QQogJqHwT0iA6nU6l5xtvbW1Vdi8q8cQUo9HIdhFO0TblbW9vb/GzhAkfPaoDzk+EkMqIziec\nX4gG3c4JMUCc4N124a5tygghdVPlxlsVqJbEfBNCCCF5oeWbEEIIaQD7+/u2izCj5RuNhLhCr9ez\nXQQCcE4kS9DyXTFMutRe6j5jeTKZ1Po8kg6TLbYXnq+egMfeLkU8ldj+7cX1trftcXfu3DmrzzeN\n6+1P3ITKd8VQ+W4vofJVl+vnxsZGLc8h+aCFob1w4yVCy6w8bP/2wrZPJwiarWYktn84B0b/JwRU\nvgmpnM3NTdtFIIQQezh81FhemKOCEEKICah8E0K8YHt723YRCMlFv99vtztiA5RvQgipDFq+iQYT\nrhFCvIDufcQX1tbWbBfBLlS+CSGESjeJhZZvQgjJie3kNYR4AZVvQkib4TnfJAUq3xVD61x7qSvZ\nXhNjEZug1E6nU9tFIJZgos1lpGXKN9u/vbDt2w3bn5SBynfFUPluL4eHh7aL4BRnzpzBeDy2XYza\n4CLcXjj2I8yV7yZuFMbB9m8vbPt2k9n+zHZOYqDyTQgxQtOPGCGEZNAS5ZsQQgjJC6VjQjwjCAKc\nO3fOdjEIISSeudIt3IAjHtCEsCfiGIz5Jikw2zkhDjEcDnNlSqZVuT0urTbodDrtPiqLrIQ6Pp79\n0OnYLQghOTh//rztIpCmQqWbxEDlmxCHEBHuwhPr9Pv9RuevUEpxnJkkVL65SUgIIeBqQ3S4MlYM\nky61F1oKV8dnhajJymqd+OjRwLEfIVS+W0KR9r9w4YLBkpC64dhvN2x/UgZaviuGynd7cUn52tvb\nQ8dDl0+fle9er2e7CCQnVfczl8a+E4QbKC2xfLP92wvbvt1ktb8w2zmJoR0rIyEtw0fFmxBX6Ha7\ntGisQBjzLZyHCCFtIqJk++jJRcxDyzchlqD7ISGnGY/H1hMKDgYDKt+rELqde2rtmUwmrROaO50O\ntra2bBejEXDzm5zC07mQmIHKNyGEEGfY3Ny0XYQlgiCgMF0UzxOu2d78sYGIYDQa2S5GI9jf37dd\nBEKIw1D5JoQQ0iqKZDsfDocYDoeGS9QwWhb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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "columns = numpy.loadtxt('../data/Launch-8/roll/raw/output_trim.csv', delimiter=',', unpack=True, usecols=(0,1,2,3))\n", "\n", "roll_sample_rate = 1000\n", "\n", "roll_time = columns[0]\n", "roll_accel = columns[1]\n", "roll_rate = columns[2]\n", "fin_angle = columns[3]\n", "\n", "roll_time = roll_time - 4540.7\n", "roll_rate = roll_rate - roll_rate[0:10].mean()\n", "roll_rate = roll_rate / 42.9\n", "\n", "roll_accel -= roll_accel[0:10].mean()\n", "roll_accel *= -0.0068\n", "\n", "fig = utils.Plot(r\"Launch 8 Roll roll\", \"Time [$s$]\", \"Roll [${}^0/s$]\")\n", "fig.plot(roll_time, roll_rate, color=utils.red, label=r\"roll\")\n", "fig.plot(opal_time, opal_roll, color=utils.blue, label=r\"opal\")\n", "fig.legend()\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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QpkOQTtKM7t6m/Hmb8uddyp23KX/epdx5m/KXnVRYd4AKa++KRCKZDkG6QPnzNuXPu5Q7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7FYLOgSkAPyG8pCoYL21cnW1vR28rCRcsmvPtahutjOMcd11M3Q9EMXF6Giwgsyu+T69UOWtd54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\nxhoAAAAAgBx42Vib2WQz+4GZP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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "freq_cuttoff = 17.0\n", "filter_taps = 2**12\n", "window = firwin(numtaps=filter_taps, cutoff=freq_cuttoff, nyq=roll_sample_rate/2)\n", "roll_rate_padded = np.concatenate((roll_rate, np.zeros(filter_taps / 2)))\n", "roll_rate_filtered = lfilter(window, 1.0, roll_rate_padded)[filter_taps / 2:]\n", "\n", "fig = utils.Plot(r\"Launch 8 Roll Rate Filtered\", \"Time [$s$]\", \"Rate [${}^0/s$]\")\n", "fig.plot(roll_time, roll_rate_filtered)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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j/vTF3OmN+atMLKw9YGGtr0QiEXQIVADmT2/Mn76YO70xf/pi7vTG/FUmFtZERERERERE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\nTkIz81d49FFNfP3rCoaGmnZPafpNxr7f/V2V9+497vHy9u0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uDH6zpJdIensMcQEA5tOk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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "roll_rate_diff = np.diff(roll_rate_filtered)\n", "roll_rate_diff = roll_rate_diff*roll_sample_rate\n", "\n", "fig = utils.Plot(r\"Launch 8 Roll Rate Filtered\", \"Time [$s$]\", \"Rate [${}^0/s$]\")\n", "fig.plot(roll_time[1:], roll_rate_diff)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Eo/gGAAAAAKDBKL4BAAAAoMmcBdcSj+IbAAAAACYDpp0nGsV3nbHyZLjS6XSz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\n7/V/bgBuH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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "fin_angle -= fin_angle[0:10].mean()\n", "fin_angle /= (fin_angle.max()/15.0)\n", "\n", "fig = utils.Plot(r\"Launch 8 Fin Angle\", \"Time [$s$]\", \"Angle [${}^0$]\")\n", "fig.plot(roll_time, fin_angle)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3O0TOk05vjTBCaOJEZFauRPr116t6HiIiCiBr72RkMkAkgo3nnAMj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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 8 Acceleration\", \"Time [$s$]\", \"Acceleration [$m/s/s$]\")\n", "fig.plot(roll_time, roll_accel, color=utils.red, label=r\"roll\")\n", "fig.plot(opal_time, opal_accel, color=utils.blue, label=r\"opal\")\n", "fig.legend()\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qnTuEgfyFjfyFi9yFjfyFq9lzl0wmdeCBB+raa6/Vc88913d82bJl+t3vfqfd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7wj/v/XEbNMbT/7mXbmXfm1a9X1+usam9tcVW0tp59e1X5pxtgLG/mFi+zCRn7hIrt04hRrAIkx\njzrirryrISM9vbQwwBE9MiZ9+JiMGhqkx16KjmtQQdtvuUXHvvM1FbJHqrmrvar3mnjZZYMvHgAA\nACMODTKAxBQyDZJcv1yU19rqJnq7mZkO2jeaRX7ouahBzsT3exq9bLFO1uIB36PxwAPVcvrpys6b\nN7gPBwAAwIhEgwwgMZvGRdf8ljfHU8dLG7dV/z7FeyOb+l/Mq9ykq6+WNfJjEAAAAJFUXoMMoD5k\nCl0Vtw+mOZakrq6oMc7f9p9VHzPx0ktpjgEAANBLKhtkVqQLWzabTboE1Kg8u4I11PQ+551YkHf1\nNNddy5Zp38UP6JAn/1+/xzXPnatpd9wR1XL00TV9dpox9sJGfuEiu7CRX7jILp1SOX1Cgxw2ViEP\nV3l2DZ4f8JjS060bM1JXQWpeeJ3axozRuL/9WxW2bNHpT16hltwWWf9vpTGnnSZraNDUX/yixu8g\n3Rh7YSO/cJFd2MgvXGSXTqmcQQZQHxryO+Wlt1Do2ql3tb6o0fH/jz54ZEaFksuKL/yrBn3omIw6\n7rtPOxcvVn7TJm08+2yNraI5LpUZO3aP1A8AAICRhQYZQGLe+9p/yjs6NLEleu6dOzX+qfvlLh15\noMlMvZbdGtVsete+0Y+tncuW6a1zz636szKTJqlx1qw9WD0AAABGmlSeYg2gPozb8bYkKRP/qa4p\n4xq3Y5Nc0kmHN+iVVQV59bdGrqjxwAO117e+pcy4cbv3RgAAABjxmEEGkKg5javUFK/V1eUmKzlZ\n2kzqfOUVFTa/LRUGvl65ksnXXENzDAAAgKqkskHmgvuwschauCpll1dGzY1RU+wumQry+LxqM6lr\n6zYV3tokb29Xoa1NXWvWVP15k666ao/UjQhjL2zkFy6yCxv5hYvs0okGGcHJlS7qhKBUym56Zqtm\nTu+ZNZ7U9qZOObhVkjRh6xq9c93TGt25TYe/eJs2fuIT2nTBBVV/XtMhh+x+0ejG2Asb+YWL7MJG\nfuEiu3RKZYMMoH68q3GdDpvZ0yA3t23W2L8/J3ryD5/R3JUPqDHfqfHrlg3qfa2lZU+WCQAAgBRg\nkS4AifJCQaOapBl7SW+292zfuXx59+O5K+/X5LbVVb/nxMsuU2Hbtj1ZJgAAAFKAGWQAw67lzDN7\nnrjLzPSx9zb02qfz6ae7H8/a8KzGd7w14PtOu/VWSVJ23jyNPvnkPVMsAAAAUoMGGcCws6amPtsa\nt7ylU8cs6X7u+epWrZ5+990975vNdjfJAAAAwGCl8hRrVqQLWzabTboE1KhidoWCClu26O3z/0aT\nSjZvX7hw4De06NrlaXfeqQ2nnRZt4r+PIcPYCxv5hYvswkZ+4SK7dErlDDINcthYhTxc3dmZ9dq+\n8eyza3q/4myxZTIaxSnVQ46xFzbyCxfZhY38wkV26ZTKBhnAyGAl/+Oa8OUvJ1gJAAAARgIaZADD\nr2QGefvPfz7owyddc41GnXTSnqwIAAAACKtBtsi9ZlYws4+XvbaXmd1sZlvir5vMbEJStQLoR9kp\n1oPRcuaZajrwQE24+OI9WBAAAAAQWIMs6cuSikvbetlrCyUdIekDkj4o6UhJNw9faQCGQ8s55yRd\nAgAAAEaoYBpkMzta0hcknV/htXcraowvcPen3P1JSRdK+pCZHVy+Pxfch41F1sLVnV2NM8hTb7lF\nthuzz9g9jL2wkV+4yC5s5BcuskunIBpkMxunaIb4f7n7xgq7HCepzd2fKNn2uKTt8Wu90CCHLZfL\nJV0CalTMzhoaajo+M3r0niwHg8TYCxv5hYvswkZ+4SK7dAqiQZZ0raR73P3+Xby+t6RejbO7u6QN\n8WsAAAAAAPSrMakPNrMrJH19gN1OkvQOSYdLmhcfVzy/crfOs/za177W/fiEE07QCSecoGw2W3F2\nubOzs+JfkNg/mf3b2trqqh72r37/SnZmMuqsMKPcnM+rqVDofj72/PMTr5/92T/k/Ys/O+ulHvav\nfv9dneYZSv3sz/6h7l/6c7Me6mH//vd/6KGHtGjRoj6vDZZFE63Dz8wmS5o8wG6rJP2bpHMlFUq2\nN8TPH3f3E83sU5Lmu/v4kvc3Sdskfc7dF5S+6bhx47y1tXUPfBdIQmtrq8aNG5d0GahBMbv2225T\n6/XXV31c48yZGn/xxWo64IAhrA4DYeyFjfzCRXZhI79wkV3YzEzuPuhJ1cRmkN19k6RNA+1nZt+Q\ndGXpJklLFK1ofXu87QlJY83suJLrkI+T1KLoWmQAdaRpzpxB7T/x0kvVMHXqEFUDAAAARBJrkKvl\n7m9KerN0W3yW9Sp3Xxnv87KZ3SfpOjO7QFETfZ2kO919afl7siJd2HZ1qi7qXzG7Qc8EZ0JZLmFk\nY+yFjfzCRXZhI79wkV061X2DPAhnSfq+pOJCXrdL+lylHWmQw8Yq5OEabHZTFy6UmptZvbpOMPbC\nRn7hIruwkV+4yC6dgmyQ3b3PdJK7b5H0yQTKATAEpt99d9IlAAAAIGU4bxFA3WmYMiXpEgAAAJBC\nNMgA6s6UBQsG3gkAAADYw2iQAQAAAABQShtkLrgPG4ushatSdpkJExKoBLVg7IWN/MJFdmEjv3CR\nXTrRICM4uVwu6RJQo0rZjf/iFzXmYx9LoBoMFmMvbOQXLrILG/mFi+zSKZUNMoD60nTood2PJ/3g\nBwlWAgAAgDSjQQaQuOY5c7ofNx1wQIKVAAAAIM1okAEAAAAAEA0yAAAAAACSUtogsyJd2LLZbNIl\noEYVszOLvlD3GHthI79wkV3YyC9cZJdONMgIDquQh6s0OxszJn5AcxwKxl7YyC9cZBc28gsX2aVT\nKhtkAHUgbowbZsyQZaIfRS1nnZVkRQAAAEi5xqQLAJBujfvtJ0nKzpuXcCUAAABIO2aQAdQFGz9e\nmeJp1wAAAEACmEEGUBfGf+lLUoa/2QEAACA5qfxtlAvuw8Yia+Eqzc7KFueyhoY+21BfGHthI79w\nkV3YyC9cZJdONMgITi6XS7oE1IjswkZ+YSO/cJFd2MgvXGSXTqlskAEAAAAAKEeDDAAAAACAaJAB\nJIXrjQEAAFBnaJABAAAAAFBKG2RWpAtbNptNugTUiOzCRn5hI79wkV3YyC9cZJdONMgIDquQh4vs\nwkZ+YSO/cJFd2MgvXGSXTqlskAHUAa5BBgAAQJ2hQQYAAAAAQDTIAAAAAABIokEGAAAAAEBSShtk\nLrgPG4ushYvswkZ+YSO/cJFd2MgvXGSXTjTICE4ul0u6BNSI7MJGfmEjv3CRXdjIL1xkl06pbJAB\nAAAAAChHgwwgGdzmCQAAAHWGBhlAMmiQAQAAUGdokAEkwz3pCgAAAIBeUtkgsyJd2LLZbNIloEa9\nsmMGOTiMvbCRX7jILmzkFy6ySycaZASHVcjD1Ss7GuTgMPbCRn7hIruwkV+4yC6dUtkgA0iejRmT\ndAkAAABAL+YpvA7QzDyN3zdQTwrbtkmZjDJjxyZdCgAAAEYYM5O7D/qURRpkAAAAAMCIUmuDzCnW\nAAAAAAAopQ0yF9yHjUXWwkV2YSO/sJFfuMgubOQXLrJLJxpkBCeXyyVdAmpEdmEjv7CRX7jILmzk\nFy6yS6dUNsgAAAAAAJSjQQYAAAAAQDTIAAAAAABIokEGAAAAAEBSShtkVqQLWzabTboE1IjswkZ+\nYSO/cJFd2MgvXGSXTubuSdcw7MzM0/h9AwAAAEAamJnc3QZ7XCpnkAEAAAAAKEeDDAAAAACAaJAB\nAAAAAJBEgwwAAAAAgKSAGmQzO8bMHjSzVjPbZmaPmdnkktf3MrObzWxL/HWTmU2o9F7Nzc3DVzj2\nOFYhDxfZhY38wkZ+4SK7sJFfuMgunYJokM3sWEn3S3pY0rGSjpR0paSdJbstlHSEpA9I+mC8z82V\n3o8GOWy5XC7pElAjsgsb+YWN/MJFdmEjv3CRXToF0SBL+q6kH7j7t939JXdf5u63ufs2STKzdytq\njC9w96fc/UlJF0r6kJkdXP5mXV1dw1o89qxFixYlXQJqRHZhI7+wkV+4yC5s5Bcuskunum+QzWya\npD+VtM7MHjWz9Wb2OzM7uWS34yS1ufsTJdsel7Q9fq2XfD4/pDVjaPHDKlxkFzbyCxv5hYvswkZ+\n4SK7dKr7BlnSrPifl0n6iaT3S1ok6X4zOzx+bW9JG0sPcneXtCF+DQAAAACAfiXWIJvZFWZWGODr\nxJIar3X3G939eXf/hqSnJX0mqfoBAAAAACOLRROtCXxwtAL15AF2W6VoBni5pHPcfWHJ8TdImubu\np5nZpyTNd/fxJa+bpG2SPufuC8o+O5lvGgAAAAAwLNzdBntM41AUUg133yRp00D7mdlKSW9KOqTs\npYMlPR8/fkLSWDM7ruQ65OMktSi6Frn8swf9LwoAAAAAMLIlNoM8GGb2RUXXIH9a0nOSzpD0TUnz\n3H1JvM89kvaTdIEkk/RjSa+7+0cSKRoAAAAAEJTEZpAHw92/Z2ZZSVcpOi37BUl/VWyOY2dJ+r6i\n+yVL0u2SPjeshQIAAAAAghXEDDIAAAAAAEMthNs8DRkze6TCytkLBz4SSTCzz5rZCjPrMLNnzOz4\npGvCwMzs0grj7M2k60JfZnaimd1hZqvjnM6rsM+lZrbGzNrN7DdmNjuJWtHXQPmZ2Y0VxmKfdTow\n/Mzsa2b2tJltNbMNcY6HVtiP8VeHqsmP8Ve/zOwiM3s+zm+rmT1uZqeU7cPYq0MDZVfruEt1gyzJ\nJf1U0UrZxa8LE60IFZnZJyTNl3SFpCMULb52r5ntn2hhqNYr6j3ODku2HOxCi6TFkr4oqUPRz8hu\nZvaPkv5e0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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.integrate import simps\n", "\n", "velocity = [0]\n", "altitude = [0]\n", "for i in range(1, len(roll_accel)):\n", " altitude.append(simps(velocity, roll_time[:i]))\n", " velocity.append(simps(roll_accel[:i], roll_time[:i]))\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 8 Velocity\", \"Time [$s$]\", \"Velocity [$m/s$]\")\n", "fig.plot(roll_time, velocity)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KGnbZpegysrbl+sjVxbskSZJUn2qmQY6IAyNiA9ABXAgcn1JaDuxWHbJi0Eva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\nsotbLeRnZsomiaYvXKi6HXboGfeODrU0NxdvE9XdHbDCyqiF7FC+VDb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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 8 Altitude\", \"Time [$s$]\", \"Altitude [$m$]\")\n", "fig.plot(roll_time, altitude)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Uy084AYCZZ5/NpAMOGPPXbAV+9/Jmfvkyu9YUKaWia8hORCQ/N0mSRkfasIGl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\ngwEAAIAJkNdzsDMx1MpziKNcLmddAtaj8tJL6n3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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "# Define PSAS:\n", "k_p = 2.45\n", "k_v = 3.2\n", "Cl_base = 3.2\n", "fin_area = 1.13e-3\n", "\n", "def C_L(a, v):\n", " \"\"\"Find C_L for a given speed and angle of attack\n", " \n", " :param float a: Angle of attack, alpha in degrees\n", " :param float v: velocity, v in m/s\n", " \"\"\"\n", " \n", " # math is in radians\n", " a = radians(a)\n", " \n", " # Subsonic case\n", " def _subsonic():\n", " sina = sin(a)\n", " cosa = cos(a)\n", " cl = k_p*sina*cosa*cosa\n", " cl += k_v*cosa*sina*sina\n", " return cl\n", " \n", " # Supersonic case\n", " def _supersonic():\n", " cl = a*Cl_base\n", " return cl\n", "\n", " if v <= 265:\n", " return _subsonic()\n", " elif v < 330:\n", " # Intepolate between super and subsonic\n", " y0 = _subsonic()\n", " y1 = _supersonic()\n", " x0 = 265\n", " x1 = 330\n", " cl = y0 + (y1-y0)*(v - x0)/(x1-x0)\n", " return cl\n", " else:\n", " return _supersonic()\n", " \n", "def lift(a, v, alt):\n", " \"\"\"Compute the lift of one fin at an angle of\n", " attack, velocity, and altitdue\n", " \n", " :param float a: Angle of attack in degrees\n", " :param float v: velocity in m/s\n", " :param float alt: altitude MSL in meters\n", " :returns float lift in Newtons:\n", " \n", " \"\"\"\n", " \n", " # get density of atmosphere with quick exponential model\n", " rho = 1.2250 * exp((-9.80665 * 0.0289644 * alt)/(8.31432*288.15))\n", "\n", " l = 0.5*C_L(a, v)*rho*v*v*fin_area\n", " \n", " return l\n", "\n", "def anglar_accel(a, x, v, t):\n", " \"\"\"Compute angular accelation for a single point\n", " \n", " :param a: Fin alpha (degrees)\n", " :param x: altitude (meters, MSL)\n", " :param v: air velocity (m/s)\n", " :param t: time since launch (seconds)\n", " \"\"\"\n", " \n", " fin_arm = 0.085\n", " I_0 = 0.086\n", " I_1 = 0.077\n", "\n", " # compute I\n", " if t <= 0:\n", " I = I_0\n", " elif t < 5.6:\n", " I = I_0 + (I_1-I_0)*t/5.6\n", " else:\n", " I = I_1\n", "\n", " return degrees((4*lift(a, v, x)*fin_arm)/I)\n", " #return 4*lift(a, v, x)*fin_arm\n", "\n", "\n", "model_accel = []\n", "\n", "for i, t in enumerate(roll_time):\n", " aa = anglar_accel(fin_angle[i], 1390+altitude[i], velocity[i], t)\n", " model_accel.append(aa)\n", " \n", "\n", "fig = utils.Plot(r\"Launch 8 Modeled Angular Accel\", \"Time [$s$]\", \"Accel [${}^0/s/s$]\")\n", "fig.plot(roll_time, model_accel)\n", "fig.plot(roll_time[1:], roll_rate_diff, color=utils.blue)\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JcKVSqXp3AVUgfuEidmEjfmEjfuEidmEjfs2J5LvGSL7DRaX6sBG/cBG7sBG/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\nvVzSlKRXuHtV0hfN7GJJPybpz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