{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Launch 11 Wind Tunnel\n", "\n", "We treated [Launch-11](https://github.com/psas/Launch-11) as a wind tunnel test by sweeping the fins back and forth as the rocket flew through the air. Hopefully we can get some useful information from it.\n", "\n", "We had two principle sensors on the rocket. An accelerometer and a rate gryo. We can differentiate the rate gryo to get angular acceleration, and integrate the accelerometer to get velocity and height. This along with fin position should give us enough information to solve for $C_L$\n", "\n", "## Torque\n", "\n", "Fundamentally roll acceleration should be based on torque and mass moment of inertia. We have a good guess for the rocket moments, so we believe we can measure torque.\n", "\n", "$$\\begin{equation}\n", "\\tau = I\\ddot\\theta = \\mathbf{r} \\times \\mathbf{L}\n", "\\end{equation}$$\n", "\n", "Where\n", "\n", " - $\\tau$ is the torque on the rocket\n", " - $I$ is the mass moment of inertia in the torque axis\n", " - $\\ddot\\theta$ is anguar acceleration\n", " - $\\mathbf{r}$ is the vector from the center of the rocket spin axis to the center of lift of a wing\n", " - $\\mathbf{L}$ is lift from a wing\n", " \n", "Now we can make the simplifying assumtion that lift is perpendicular to $\\mathbf{r}$ so we ingore the whole vector thing and just mulitply. And we can expand our lift equation (note: we have 4 canards!):\n", "\n", "$$\\begin{equation}\n", "I\\ddot\\theta = 2C_{L\\alpha}\\rho v^2 A r\n", "\\end{equation}$$\n", "\n", "Solving for $C_{L\\alpha}$:\n", "\n", "$$\\begin{equation}\n", "C_{L\\alpha} = \\frac{I\\ddot\\theta}{2\\rho v^2 A r}\n", "\\end{equation}$$\n", "\n", "Do we have enough information from our two sensors?\n", "\n", "On the right hand side we have\n", "\n", " - $I$: measured ahead of time, geometry and mass dependent.\n", " - $\\ddot\\theta$: differentiate roll gyro\n", " - $\\rho$: double integrate accelerometer, then use atmosphere model\n", " - $v$: integrate accelerometer\n", " - $A$: measured ahead of time, flight independent\n", " - $r$: measured ahead of time, flight independent\n", "\n", "Since we recoreded $\\alpha$ directly we should have everything we need.\n", "\n", "Let's load the Launch 11 data:" ] }, { "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", "\n", "columns = np.loadtxt(\"data/ADIS.csv\", delimiter=',', unpack=True)\n", "\n", "seqn = columns[0]\n", "timestamp = columns[1]\n", "gyr_x = columns[3]\n", "gyr_y = columns[4]\n", "gyr_z = columns[5]\n", "acc_x = columns[6]\n", "acc_y = columns[7]\n", "acc_z = columns[8]\n", "mag_x = columns[9]\n", "mag_y = columns[10]\n", "mag_z = columns[11]\n", "\n", "# normalize time to liftoff, put in seconds\n", "t_0 = 202945201730391 # nanoseconds in FC time frame\n", "timestamp = np.subtract(timestamp, t_0)\n", "timestamp = np.divide(timestamp, 1e9)\n", "\n", "# limit to just boost and coast data (don't care after the chutes open\n", "timestamp = timestamp[1700:30000]\n", "gyr_x = gyr_x[1700:30000]\n", "gyr_y = gyr_y[1700:30000]\n", "gyr_z = gyr_z[1700:30000]\n", "acc_x = acc_x[1700:30000]\n", "acc_y = acc_y[1700:30000]\n", "acc_z = acc_z[1700:30000]\n", "mag_x = mag_x[1700:30000]\n", "mag_y = mag_y[1700:30000]\n", "mag_z = mag_z[1700:30000]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Roll Rate (Rate Gryoscope)\n", "\n", "One of the most important measurements is the roll rate. The $x$ direction in our sensor frame lines up with the vertical axis of the rocket. So $x$ acceleration will be \"Up\" and gyro will be \"roll\":" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 11 Roll Rate\", \"Time [$s$]\", \"Rate [${}^0/s$]\")\n", "fig.plot(timestamp, gyr_x)\n", "fig.ylim([-40, 425])\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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T972lVHdpiP7sRn+dI3DQQd1+n3RnN/qzF92lL4ZlIIm4sZjpCACANnAyM01H\nAAB0MYZlIBlsPqhX4OCDDQcBALTV9982U33ddQovX24wDQCgszEsA0nA2Tws+wcONJwEANBWRX/6\nkwr/+EdJUuijj7TxN78xnAgA0JkYloEkEGtoMB0BALCTHMeRf889TccAAHQRhmVYKxQKmY7Qaeru\nvNN0hG6VSt2lI/qzG/3Zi+7sRn/2orv0xbAMawWDQdMROo/XK09hoekU3SaluktD9Gc3+ut8OWed\nlfi8+rrruux+6M5u9GcvuktfPtMBAEgKBuVkZZlOAQBoh9yzz1ZgyBA1/+1vanzlFdNxAACdhC3L\ngGGxxsb4e5Y9PB0BwFb+AQPkKSoyHQMA0In46xxIEi7vhwEAu20+s0H9gw8qVlenxpdeMhwIANAR\n7IYNJItYzHQCAEAHOJv3EGqcO1eNc+dKkkIffKCCKVNMxgIAtBNblmGtQCBgOkLn2Dwke/LzDQfp\nPinTXZqiP7vRX9fJGjWq1WXBf/5TFWPGKLJqVYdvn+7sRn/2orv0xbAMa2VkZJiO0Dk2D8u5EyYY\nDtJ9Uqa7NEV/dqO/ruNkZkqScsePb3Vd5KuvJEnh5cvlRqPtun26sxv92Yvu0hfDMmCa67b8LwDA\nav699mp1WXDpUrmuq42/+Y1iGzcaSAUA2Fm8ZxkwbfOQ7N93X8NBAAAd5d9zT3kKCyVJvt12U2T1\naklS8//9n9yGBklSrLpa3uJiYxkBAG3DlmXAMHfzsOzhPMsAYL2eM2fK16ePck47LTEobxH8xz8k\nSRuvvlrhL74wEQ8AsBMYlgHTYjHlnHWW6RQAgE7gbD59VO755yvnzDO3u67pz3/m1FIAkOQc103f\nN0o6jqM0fvjWC4VCKXHAhWhVlZoXLPjBP6pSTap0l67oz270133caFRuQ4OqdvDve9aoUepx+eU7\nvD26sxv92Yvu7NaRmY8ty7BWMBg0HaFTxGpqFKupMR2jW6VKd+mK/uxGf93H8Xrl5OQkvvbk5Mi/\n336t1jW9/rpidXU7vD26sxv92Yvu0hfDMmBYw3PPqfHVV03HAAB0AcfrTXyec9ZZyj7+ePl23bXV\nuqZ58xT6+OPujAYA2AGGZQAAgC6Wsf/+kqTAsGEqvOeeVtc3zZ+v6v/v/1Pov//t7mgAgO1gWAZM\ni8VMJwAAdKHc8eOVf8MNyhozRo7jyPH71euRRxT42c8Sa6KVlZKk6t/+1lRMAMBWGJYBw4L/+Icy\nBg82HQN3LpXkAAAgAElEQVQA0EVyTjlFntxcOX5/4jJvaakKJk2St6zMYDIAwA9hWIa1AoGA6Qid\nJufUU01H6Fap1F06oj+70V9y8e+zjwIHH9zisuobbtjmWrqzG/3Zi+7SF8MyrJUKh/B3Q6H4J570\neiqmQnfpjP7sRn/JJf+3v5V/331bXBb697+3eZoTurMb/dmL7tJXev2FDiSZ5oUL4584jtkgAABj\nvGVlyj3nHJXOm5e4rGH2bLmcrgYAjPKZDgCktUgk/t8027IMAPhO5hFHtLqsYfZsNS9cqMKZM+XJ\nzjaQCgDAX+iAQYnd7DgiNgBgK9G1a7XhF78wHQMA0hbDMmDSliF5G+9NAwCkH29xsTJ+/OPvLuDF\nVAAwhmEZ1gptOTiWzbYMyWk2LKdEd2mM/uxGf8mt6OGH1XPGDOVedFH8Aq83cR3d2Y3+7EV36Yth\nGdYKpsKBT6JRSZKbZlsOUqK7NEZ/dqO/5OZsHo5zTj5Z3l12kb73Rzrd2Y3+7EV36YthGTAoMSSn\n2bAMANgxJytLsYYGBd9913QUAEhLDMuASZt3v/b17m04CAAg2WQfd5wkqeYPf1Bo2TLDaQAg/TAs\nAyZtPnWUt6zMcBAAQLLJGj068Xn1pEmKfP21wTQAkH4YlgGDNj3+uOkIAIAkVjB5cuLzWE2NuSAA\nkIYYlmGtQCBgOgLaie7sRn92oz+7BIYMUd6vfy1Jarr1VsNp0BE89+xFd+mLYRnWysjIMB0B7UR3\ndqM/u9GffbJGjZIk+WMxNbz4ouE0aC+ee/aiu/TFsAwY5h840HQEAEASc753ruVNjzxiMAkApBeG\nZcCw/OuvNx0BAJDkck47zXQEAEg7DMuAIe7mI2FzjmUAwI54iosTn9fccouiGzYYTAMA6YFhGTCk\n7o9/jH/i85kNAgBIelmjR6vH1VdLkoJvv63wJ58YTgQAqY9hGdYKhUKmI3RIrKpKkuQtKjKcpPvZ\n3l26oz+70Z+dHMeR55BDEl/XTp/+3YuusALPPXvRXfpiWIa1gsGg6QgdElm92nQEY2zvLt3Rn93o\nz14hx1HhXXfJP2CAJKlp/nxF1q41nAptxXPPXnSXvhiWAQAALOEfOFB5l1yS+HrDhAlqmDPnu+Ng\nAAA6DcMyYIjDCe4BAO2wZcvyFpsefliV5eWqGDNG0epqhT76SI2vvmooHQCkDo4sBJjiuvIUFJhO\nAQCwUPFTT6nq7LNbXb7+nHPkZGTIDYUUXbdOeRdfbCAdAKQGtiwDBsTq6hStqpInL890FACAhTwF\nBSr63//d5nXu5oMRNb70klzX7c5YAJBSGJZhrYDFuzGHV6yQJOXfdJPhJGbY3B3oz3b0Z6+tu/P1\n7q2Sl19Wycsvy9nOaQjrpk/vjmhoA5579qK79MWwDGtlZGSYjtBhnqws0xGMSIXu0hn92Y3+7LWt\n7hy/X47fr6JHHlHxU0+1ur55yRK54XB3xMMO8NyzF92lL4ZlwCSv13QCAEAK8BYVyVNQoOwTT5Qk\n5Y4fn7iu8sQTFWtokBuNmooHAFbiAF+ACY4T/+92dpsDAKA9cs45R97evZV93HHKPvlkVY4dK0mq\nOu00SYrvsu33m4wIANZgyzJgkOPhKQgA6DyerCxlH3ecJMnZ8sLs90RWr+7uSABgLf5SB0zYcnRS\ndsMGAHSxvAkTEp8HFy0ymAQA7MKwDGuFNp8aw0aJg62k6ZZlm7sD/dmO/uzVnu5yTj1VmUcemfi6\n4YUXOjERdgbPPXvRXfpKz7/UkRKCwaDpCO235SAr29hFLh1Y3R3oz3L0Z6/2dJd74YXy5OerdN48\nZY4YIUmce9kQnnv2orv0xbAMGOAGgyqYMmWb7ycDAKAr5P/2t/LtsYdqJk1SrLHRdBwASHoMy4AB\ndXffLScnx3QMAECaiW3cqNCHH6pq3DjTUQAg6TEsA4Y4HNwLANDN8idNSnwe/uILg0kAIPkxLAOm\ncI5lAEA3y/jxj5V3ySWSpNo//MFwGgBIbgzLsFYgEDAdoUOcNB6Wbe8u3dGf3ejPXp3VXfbYsZKk\naFWVImvXdsptYsd47tmL7tIXwzKslZGRYTpCx6TxsGx9d2mO/uxGf/bqzO58u+8uSdowYYKC773X\nabeL7eO5Zy+6S18My4Ah6bxlGQBgVv6NNyY+D779tsEkAJC8GJYBUxiWAQCG+HbZJXGwr6Y33lC0\nosJwIgBIPgzLAAAAaSjzZz+Ts/m9mMH33lOspsZwIgBILgzLgAFOdrY8eXmmYwAA0lzR/fdLkuof\nfFDV3zutFACAYRkWC4VCpiO0S/Df/5bb2CjH7zcdxRhbu0Mc/dmN/uzVFd15y8qUd+mlkqTIqlUK\nffKJ3Fis0+8HPPdsRnfpi2EZ1goGg6YjtEt01SrTEYyztTvE0Z/d6M9eXdWdf889E59XX3ONqn/7\n2y65n3THc89edJe+GJaBbsY5LQEAycQ/YIBK581LfB1esUJuJGIwEQAkB4ZloJs1/eUvpiMAANBK\n3q9+lfi8srxcsaYmg2kAwDyGZQAAACjruOOUsf/+ia+rTj3VYBoAMI9hGQAAAHK8XvWcPl2Ff/xj\n4rKqc89V89/+Zi4UABjEsAxrBTafGxL2oTu70Z/d6M9e3dXd9w/4Fdu4UbW3367aW29VrLa2W+4/\nVfHcsxfdpa+kGpbvu+8+DRo0SPn5+crPz9dhhx2mv2z1/s7Jkyerd+/eys7O1ogRI/TJJ5+0uD4Y\nDOryyy9XcXGxcnNzVV5errUcUCklZWRkmI7Qbo7XazqCUTZ3B/qzHf3Zy2R3zUuWqOqss4zdfyrg\nuWcvuktfSTUs77rrrrrtttv073//W0uXLtVRRx2lE088UcuWLZMkzZgxQ3fddZfuvfdevf/++yop\nKdExxxyjTZs2JW7jqquu0pw5c/TMM89o8eLFqqur09ixYxXjnIFIIgVTp5qOAADAdhU/9ZRK581T\njyuvbHF546uvKtbYaCgVAHQvx3Vd13SIH1JUVKTp06fr4osv1o9+9CNdccUVuv766yVJzc3NKikp\n0R133KEJEyaotrZWJSUlmjVrls4880xJ0po1a7T77rvrtdde07HHHtvith3HUZI/fKQYNxZT5fHH\nq3j2bHny803HAQBgh8LLl2vTrFkKffRR4rLip56Sp6DAYCoAaJuOzHxJtWX5+6LRqJ555hk1Nzfr\n8MMP15dffqmKiooWA29mZqYOP/xwvf3225KkpUuXKhwOt1jTp08f7bPPPok1gFHhsAI//SmDMgDA\nGv6991bP6dNV/Oyzicuqf/c7hVeuNJgKALqez3SArX300Uc69NBDFQwGlZWVpeeee04DBw5MDLul\npaUt1peUlOibb76RJK1bt05er1dFRUUt1pSWlqqiomKb9zdp0qTE58OGDdPw4cMVCAS2+d6EUCik\nYDDY6nLWs76t65tqa9W0yy7y1tcnRR7Ws571rGc963dmfay8XE1/+Yu0dq2arrpKfebOtSo/61nP\n+tRfv2DBAi1ZsqTVde2RdLthh8Nhff3116qtrdXzzz+ve+65R2+99ZZCoZCGDRum1atXq0+fPon1\n48eP17fffqvXXntNs2fP1vnnn69wONziNo8++mgNGDBADzzwQIvL2Q3bbqFQyLoDLsRqatQ4d65y\nzz3XdBSjbOwO36E/u9GfvZKlu9rbb0+cTspTUKDip54yG8gSydIfdh7d2S2ldsP2+/3q16+fBg8e\nrGnTpmno0KG67777tMsuu0hSqy3EFRUVKisrkySVlZUpGo1qw4YNLdasW7cusQapY1uvMiW7pr/+\nVdGqKtMxjLOxO3yH/uxGf/ZKlu7yr7lGeRdfLCn+InDzokVqXrTIcKrklyz9YefRXfpKumF5a9Fo\nVLFYTHvssYfKyso0f/78xHXNzc1asmSJDjvsMEnSQQcdJL/f32LNmjVrtHz58sQawKSGp59WhPd4\nAQAsl33SSSqdN0+SVDtjhkJLlxpOBACdL6nes3zddddp7Nix6tOnj+rr6zV79mwtXLhQr7/+uqT4\naaGmTZumvffeW3vttZemTp2qvLw8nbX5vH/5+fm66KKLdO2116qkpESFhYWaOHGiBg0apJEjR5p8\naIAkyQ2H5bAbDwAgxTQtWKAeV19tOgYAdKqkGpYrKip0zjnnaN26dcrPz9egQYP0+uuv65hjjpEk\nXXvttWpqatKll16q6upqDR06VPPnz1dOTk7iNmbOnCmfz6fTTz9dTU1NGjlypJ588kk5jmPqYQEt\n+f2mEwAA0CmyTz5ZjXPmyL/vvqajAECnS7oDfHUnDvBlt/r6euXl5ZmOsVMqxoxRxuDB6jl1quko\nRtnYHb5Df3ajP3sla3cVY8ZIknLPOUc5Z55pOE3yStb+sGN0Z7eUOsAX0FaBQMB0hHZx2LJsbXeI\noz+70Z+9krW7nrfeKkna9OSTcqNRw2mSV7L2hx2ju/TFsAxr2XoIfycz03QE42ztDnH0Zzf6s1ey\ndpfxk58o67jjJEk1kyYpVltrOFFyStb+sGN0l74YloFulHXsscq96CLTMQAA6FQ9Lr1UkhT6+GOF\nPv7YcBoA6BwMy0A3coNBeXjPCwAgBfW85RZJUuMrrxhOAgCdg2EZ6EbNCxdKvqQ6CD0AAJ0i44AD\nJEnh//xHNVOmGE4DAB3HsAx0M8frNR0BAIAu0eOqqyRJwffeM5wEADqOYRnWCoVCpiOgnejObvRn\nN/qzlw3dZR1zTOJzTs/Zkg39YdvoLn0xLMNawWDQdISdElmzxnSEpGFbd2iJ/uxGf/aypbvMI4+U\nJFWOHSs3HDYbJonY0h9ao7v0xbAMdBNOpQEASAf511yjjIMOkiSFP/nEcBoAaD+GZaCbhJcvNx0B\nAIBukXPqqZKk6kmTFK2oMJwGANqHYRnoJpseecR0BAAAukXGT36iXg8/LElaP3683EjEcCIA2HkM\ny0A38vbubToCAADdwltWlhiYK8vLFWKXbACWYViGtQKBgOkIO82TlWU6QlKwsTt8h/7sRn/2srE7\nb1mZck4/XZIUXbUqrY+QbWN/iKO79MWwDGtlZGSYjrDTsk87zXSEpGBjd/gO/dmN/uxla3eBn/5U\nklR3772qnznTcBpzbO0PdJfOGJaBbpSx//6mIwAA0K38Aweq15NPSpKaFixQ3d13G04EAG3DsAx0\nI4dXJgEAachTUJD4vGnBAkXWrEnrXbIB2IFhGehOvOcFAJCGHMdRyZw56nnrrZKkDb/8pSrHjlW0\nqspwMgDYPoZloJtkjRolx3FMxwAAwAgnEFDGT37S4rKNl1+u8KefGkoEAD+MYRnWCoVCpiO0WeSr\nr9T0+uumYyQNm7pDa/RnN/qzV6p01/OWW1T89NPKPOIIxerrtfHqqxVZu9Z0rC6XKv2lI7pLXwzL\nsFYwGDQdoc3Yzawlm7pDa/RnN/qzV6p0l3HAAfL06KH8a69V5vDhkqQNEyaoYswY1d13n+F0XSdV\n+ktHdJe+GJaBbuDyiiQAAK3kX3edMgYPTnzd9Je/qOYPfzCYCAC+w7AMdIdw2HQCAACSUs+pU9Xj\n6qsTXwfffVfhlSsNJgKAOIZloBvU3n676QgAACStrJEjlXPGGfIUFkqSmt94w3AiAJB8pgMAAAAA\nueeeq9xzz1X4s8+08aqr5MZi6vHrX5uOBSCNsWUZ1gpYdM7irFGjlHfJJaZjJA2bukNr9Gc3+rNX\nunTn32svefLz1TRvntxo1HScTpMu/aUiuktfDMuwVkZGhukIbec4yh471nSKpGFVd2iF/uxGf/ZK\np+56XH65JKnyhBMMJ+k86dRfqqG79MWwDAAAgKQSOPRQFUyeLEmqf/hhs2EApC2GZQAAACSdwJAh\nkqTGOXMUq6vjNIwAuh3DMtAN3MZG0xEAALBOyZw5kqSqM89Uw/PPG04DIN0wLAPdoHnhQtMRAACw\njhMIqPCPf5QkRVatMpwGQLphWIa1QpbsjhV8/33TEZKOLd1h2+jPbvRnr3Ttzr/nnupx2WUK/v3v\nCi1bZjpOu6Vrf6mA7tIXwzKsFQwGTUdok2hVlRwfpzT/Plu6w7bRn93oz17p3F3W6NEKHHaYot98\nYzpKu6Vzf7aju/TFsAx0MU9urgqmTDEdAwAAq+Wcdprq7r1X0Q0bTEcBkCYYloEu1jR/PkfwBACg\ng/x77SVJqp0xw3ASAOmCYRnoYqF//1tuQ4PpGAAAWK/XY48p/J//qGLMGNNRAKQBhmWgG2QMHWo6\nAgAA1vP26pX43HVdg0kApAOGZVgrEAiYjtBmTkaG6QhJxabu0Br92Y3+7EV3cQVTpsiTk6PKsWNN\nR9kp9GcvuktfDMuwVoZFA6jj9ZqOkFRs6g6t0Z/d6M9edBcXOPhg+Ta/fzm6caPhNG1Hf/aiu/TF\nsAwAAACr5F9zjXz9+2v9ueeajgIghTEsA12I91MBAND5PAUF8paWSpLCK1caTgMgVTEsA10oVlFh\nOgIAACkp/5pr5C0u1sYrrpAbiZiOAyAFMSwDXaj5b38zHQEAgJTkZGSo6NFH5S0tVWV5uZpef910\nJAAphmEZ1gqFQqYj7JDb3Gw6QlKyoTtsH/3Zjf7sRXetOY6j3PPOkyTV3XOPYg0NhhNtH/3Zi+7S\nF8MyrBUMBk1H2CG3qcl0hKRkQ3fYPvqzG/3Zi+62LfPII5V/3XWSpOa33lLTa68ZTrRt9Gcvuktf\nPtMBgFTmxmKmIwAAkPIyhw+Xt6REGydOlCTF6uuVc9pphlMBsB1bloEu5NtjDxXefbfpGAAApDzf\n7rsnPt/02GOqPOUUBd9912AiALZjWAa6UP1998nJyjIdAwCAlOdkZqp03jz1vP12SfHjhtT84Q+q\nGDNG0aoqw+kA2IhhGehiTiBgOgIAAGnD06OHfLvuquKnnkpctv6CC3hrFICdxrAMawUsGUIZlluz\npTtsG/3Zjf7sRXdt4+vTR4X33y9PQYGK/ud/lF1eLknaePnlRnPRn73oLn0xLMNaGRkZpiO0CcNy\na7Z0h22jP7vRn73oru0cT/xPXF+fPsodP16Fd96pyFdfKbZpk7FM9GcvuktfDMtAF8oaPVpOZqbp\nGAAApC3H55Nv4EA52dmqOv10VYwZo8jXX5uOBcACDMtAFwq+/bbpCAAApD3HcZR38cWJr+vuustg\nGgC2YFgGukjTa68pVltrOgYAAJCU9fOfq3TePHlychT+9FPTcQBYgGEZ6CKbZs82HQEAAGyl+Lnn\n5OvbV+svvNB0FABJjmEZ1gqFQqYj/CD/wIGmIyStZO8OP4z+7EZ/9qK7zhNZtUrRyko1zZ/fbfdJ\nf/aiu/TFsAxrBYNB0xHQTnRnN/qzG/3Zi+46T/Hmvb/q/vhHxZqauuU+6c9edJe+GJaBLhL+5BPT\nEQAAwDZ4evRQyZw5kqSqU0+V29xsOBGAZMSwDHQRDu4FAEDycgIBlbz0kiRxwC8A28SwDHShrDFj\nTEcAAADb4WRkSIqf6pGtywC2xrAMdJGs0aPV49e/Nh0DAAD8gF6PPKLGuXNV/+CDpqMASDIMy7BW\nIBAwHeGHua7pBEkr6bvDD6I/u9Gfveiua3hLS9XriSfU9MYbXXo/9GcvuktfDMuwVsbmXadgH7qz\nG/3Zjf7sRXddx1tYqMDBByu8fHmX3Qf92Yvu0hfDMtBVHMd0AgAA0Eae0lJt2nxKKQCQGJaBLuFG\no4pWVJiOAQAA2ijvkksUWrpU0XXrTEcBkCQYloEuEP7oI4X+9S/TMQAAQBs5m/cIW3/RRYaTAEgW\nDMtAF6j+3e9MRwAAADup8N57JUmxxkbDSQAkA4ZlWCsUCpmOgHaiO7vRn93oz1501/X8e+whSaoa\nN67TB2b6sxfdpS+GZVgrGAyajoB2oju70Z/d6M9edNc9Sv78Z0lSzQ03dOrt0p+96C59MSwDXaT4\n6adNRwAAADvJ8XpV8uKLCq9YofDnn5uOA8AghmWgizi5uaYjAACAdnAyMyVJ4RUrDCcBYBLDMtAF\nMocNk+Ph6QUAgK2yRo9W/f33y41ETEcBYAh/zQOdzA0G1bxkiekYAACgA3pcdpkkqbK8XG44bDgN\nABMYlmGtQCBgOsI2uRwEYoeStTu0Df3Zjf7sRXfdr/iFFyRJG3/zmw7fFv3Zi+7SF8MyrJWRkWE6\nwja54bByzjrLdIyklqzdoW3oz270Zy+6636erCz5dttNkZUrFfnqKwWXLm33bdGfvegufflMBwBS\nTjgsh39UAQBICUUPPKCam2/WhksvTVxW/NRT8hQUGEwFoDs4ruu6pkOY4jiO0vjho4tEVq1S6IMP\nlF1ebjoKAADoJNGqKgX//nfVP/RQ4rKSV1+V4zgGUwHYkY7MfOyGDXQyly3LAACkHG9xsbJPPFEl\nc+YkLqscO1ZuNGowFYCu1OYtyy+++OJOv3I2atQoZWdntytYd2DLMrpC6D//UfTbb5U1cqTpKAAA\noAu44bDq771XTQsWyPH71fO22+QfMMB0LADb0JGZr83DsmcnzxnrOI4+++wz9evXr13BugPDst1C\noVBSHnChYswYefLzVTx7tukoSStZu0Pb0J/d6M9edJd8KsaMkSR5d9lFvf70px9cS3/2oju7ddtu\n2N9++61isVibPpJ5izJSQzBJT9GUNWqUCiZPNh0jqSVrd2gb+rMb/dmL7pJP0f33K+e00xT99ltt\nuOQSuaHQdtfSn73oLn21eVg+77zzdmoAPvvss5WXl9euUIDNomvXylNcbDoGAADoYr7dd1fu+edL\nkiKrV6vypJMMJwLQmdo8LM+aNWunht8HH3xQxQwMSEOhjz6Ss5NvWwAAAPYqnTcv8Xnz4sUGkwDo\nTPxFD3QFr9d0AgAA0I2Kn3tOklQ7fbqi1dWG0wDoDB0alh977DEdd9xxqqys1KRJk3T//fd3Vi7A\nStGKCkmS4/MZTgIAALqTJydHJS++KEkKvvMOB5EFUkCHhmXXdfX444/r9ttv17vvvquSkhLNnDmz\ns7IBPygQCJiO0Eq0sjL+Cbth/6Bk7A5tR392oz970V3yczIzVfj//p/q77tPoX/9q8V19Gcvuktf\nHfqLftOmTerVq5feeOMNXXHFFTr11FOVk5PTWdmAH5SUh/Dfsvs1u2H/oKTsDm1Gf3ajP3vRnR38\n/fvLW1ysmt//XsHvDcz0Zy+6S18dGpb32GMPHXDAAaqtrdXPf/5zhcNhThmF9BaNKve88+QwLAMA\nkLaKHn5YklTPWxQBq3VoWB4zZowWL16s//73vwoEAtpll120du3azsoGWMcNh+Xt3dt0DAAAYJDj\n9ark1VcV/fZbNS9aZDoOgHbq8FGIvn86qX/+85+cLgrpLRyWw646AACkPcdxFPjpT1U3c6YyDz/c\ndBwA7dDmLcsVFRVqbGz8wTV9+/blPctIa24oxLAMAAAkSQW//73cYFA1U6eajgKgHdo8LNfX12vy\n5MmaOHGiFrE7CZJAKBQyHaEVNxyW/H7TMZJeMnaHtqM/u9GfvejOTvnXX6/gO++o8bPPTEdBO/Hc\nS19tHpb33HNP3XbbbZo2bZq++eYb/frXv9bNN9+sr776qgvjAdsXDAZNR2gtFJLDsLxDSdkd2oz+\n7EZ/9qI7O2UOGyZJqlu40HAStBfPvfS10+9ZzszM1BlnnKEzzjhDa9eu1ezZs7Vy5UoNHTpU48aN\nYzdspDWX9ywDAICtlLz4or484wwFBw9W4KCDTMcB0EYdOsBX7969dc0110iS/vGPf+imm25SOBzW\niSeeqBEjRnRKQMAmbijEbtgAAKAFJzNTklTz+9+r5KWXeGEdsESHTh31fUOHDtUdd9yhGTNmqKKi\nQr/85S91yy23dNbNA1bY9Mgj/A8QAAC00uvRRyVJlSedJDcSMZwGQFt02rC8xZbdtP/nf/5Hl112\nWWffPJD0eM8yAADYmuPzqeDmmyVJleXlitXVGU4EYEc6fVj+vvz8/K68eaS5QCBgOsI2OVlZpiMk\nvWTtDm1Df3ajP3vRnd0CgYACBx6okpdekiRtvPJKw4nQVjz30leXDss769Zbb9WQIUOUn5+vkpIS\nnXDCCfrPf/7Tat3kyZPVu3dvZWdna8SIEfrkk09aXB8MBnX55ZeruLhYubm5Ki8v19q1a7vrYaCb\nZCTh7s5Zo0bJ4R/UHUrG7tB29Gc3+rMX3dltS39ORoYK77lH0cpKbXrqKcOp0BY899JXUg3LCxcu\n1GWXXaZ33nlHb775pnw+n0aOHKnq6urEmhkzZuiuu+7Svffeq/fff18lJSU65phjtGnTpsSaq666\nSnPmzNEzzzyjxYsXq66uTmPHjlUsFjPxsJAm3EhE8npNxwAAAEnO36+fevzmN2qYPVtVZ58tNxKR\n67qmYwHYiuMm8TOzoaFB+fn5euWVVzRmzBi5rqsf/ehHuuKKK3T99ddLkpqbm1VSUqI77rhDEyZM\nUG1trUpKSjRr1iydeeaZkqQ1a9Zo991312uvvaZjjz02cfuO4/APEzpNtLpaTa++qtxzzzUdBQAA\nWCC8fLk2/uY3kqScs85S1nHHyVNQIMdxDCcDUkdHZr42bVleuXKlZs2apRkzZuiOO+7QY489puXL\nl7frDndGXV2dYrGYevbsKUn68ssvVVFR0WLgzczM1OGHH663335bkrR06VKFw+EWa/r06aN99tkn\nsQboCs1vvKHQv/5lOgYAALCEf++91euJJyRJDbNna/0552j9eecpsnYtG3SAJLDD8yzPnDlTK1as\n0P7776+ysjLFYjHV1NRo2rRpGjhwoH73u991Wbgrr7xSgwcP1qGHHipJWrdunSSptLS0xbqSkhJ9\n8803iTVer1dFRUUt1pSWlqqioqLVfUyaNCnx+bBhwzR8+HAFAoFtvjchFAopGAy2upz1rJekJr9f\nzjHHKBQKJUUe1rOe9axnPetZb8F6v1/Zzzwjz9q12vSb3yi2caM2TJggSer1+OOK5uUld37Wsz7J\n1l2ZNhYAACAASURBVC9YsEBLlixpdV177HA37BdeeEGnnnrqNq97/vnnNW7cuE4JsrWJEyfqueee\n05IlS9S3b19J0ttvv61hw4Zp9erV6tOnT2Lt+PHj9e233+q1117T7Nmzdf755yscDre4vaOPPloD\nBgzQAw88kLiM3bDttr2h1JTGv/xF/gED5N9zT9NRkl6ydYedQ392oz970Z3d2tJfeOVKxWprVXPj\njYnLSl55RY5vh9u30IV47tmtIzPfDp95H3/8sT7//HMdcMABysnJkdfrVWNjo/7zn//o66+/7pJh\n+eqrr9Zzzz2nt956KzEoS1JZWZkkqaKiosWwXFFRkbiurKxM0WhUGzZsaLF1ed26dTr88MM7PSvM\nCQaDSfUPl9vUJCc723QMKyRbd9g59Gc3+rMX3dmtLf35+/eXJJXOm6fwp59q49VXq7K8XL0eeUSe\noiKGZkN47qWvHb5nefLkyTrwwAP13nvv6dlnn9WTTz6pJUuWaO+999Ztt93W6YGuvPJKPfvss3rz\nzTc1YMCAFtftscceKisr0/z58xOXNTc3a8mSJTrssMMkSQcddJD8fn+LNWvWrNHy5csTa4CuEKus\nlIdhGQAAdAL/gAEqefllSdL68eNVWV5uOBGQftr08tSxxx7b4oBZXeXSSy/Vk08+qZdffln5+fmJ\n9yjn5eUpJydHjuPoqquu0rRp07T33ntrr7320tSpU5WXl6ezzjpLkpSfn6+LLrpI1157rUpKSlRY\nWKiJEydq0KBBGjlyZJc/BqSvxldfVe748aZjAACAFOH4/YmtzLW33qrmRYuUyZ6SQLdp83mW33vv\nPUUikTbf8NKlSxUKhXYqzAMPPKBNmzbp6KOP1o9+9KPEx5133plYc+211+rqq6/WpZdeqiFDhqii\nokLz589XTk5OYs3MmTN10kkn6fTTT9ewYcPUo0cPzZ07l8Pwo0v5+vaVEwiYjgEAAFKMf8AAeXr0\nUO2MGdpwxRWm4wBpo83nWfZ4PFq3bp1KSkradMN5eXlatmyZ+vXr16GAXYkDfNmtvr5eeXl5pmNI\nktxwWJUnnqjSefNMR7FCMnWHnUd/dqM/e9Gd3Tran+u6qhw7VpLk23VXFd53nxyvt7Pi4Qfw3LNb\nlx7g6/smTZqk7Da8J9N13Z3eqgzsrEASbcVt+utflTlsmOkY1kim7rDz6M9u9GcvurNbR/tzHEel\n8+ap7r779P+3d+fhUZX3+8fvMzOZmWwkEEhYgoioqLhLXVAQraAWxa0u0KqISqVqxaX83Coi1ort\nZVUE61IRW3CrrW0BFUtVRKriVqmgX60IqCTsZJ9JZs7vDyAlC5BMZuaZZ+b9ui4uk5OTmTu9PZZP\nzjnPqZ0/X9ENG+Rt9jhVJAbHXuZq87A8ZMgQ/fe//23Tvq7ratCgQQoGgzEHA/YklVYlrH76aTmd\nOpmOYY1U6g7tR392oz970Z3d4tVfp6uvlrd7d20YO5Yr2pKEYy9ztfky7HTEZdiIl3XnnCNv9+4q\n2uk53gAAAIng1tVp3XnnKat/f3W5/37TcYCU1pGZr80LfAHYDceRp0sX0ykAAEAGcIJBZY8YofrP\nP1e0psZ0HCBtcWY5c398xFHVzJnKPvtseTt3Nh0FAABkiPIRIyRJxXPn8tQXYBc4swwY5tbVybPT\n48sAAAASrevMmZKkhpUrDScB0hPDMqyVSiuu18ydK4fFH9oslbpD+9Gf3ejPXnRnt0T05y0uVuHk\nydp07bVcLZlAHHuZi2EZ1gqFQqYjIEZ0Zzf6sxv92Yvu7Jao/gIDB0qS6v/9bwbmBOHYy1wxD8vz\n58/XiBEjdOCBB2rNmjWSpMcff1wLFy6MWzgAAAAAu1c4ZYo233ab1p1xhukoQFqJaViePXu2Lrjg\nAu23335auXKl6uvrJUmRSET33XdfXAMCqc6NRJT9gx+YjgEAADJU4MgjVfD//p8kqWHVKrkNDYYT\nAekhpmF56tSpevzxx/XAAw8oKyurcfuxxx6rjz76KG7hABvU/9//KfzBB6ZjAACADBYcMkSStPGn\nP9W6s84ynAZIDzENy19++aUGDRrUYnteXp4qKio6HAqwSe28eYqUl5uOAQAAMlzJvHkqvOMOSdKG\nK67g7ydAB8U0LPfs2VOff/55i+1vvfWW+vXr1+FQQFsEAgHTESRJda+/ruDJJ5uOYZVU6Q6xoT+7\n0Z+96M5uyeovcMwxyr3wQkXWrtWGsWNVt2hRUt43nXHsZa6YhuVx48bpuuuu09tvvy3XdbV69Wo9\n9dRT+vnPf67x48fHOyPQKn8KParJ26OH6QhWSaXu0H70Zzf6sxfd2S2Z/eVdcomKX3pJkrR16lSt\nO+ccbZowQS6rOseEYy9zOW4Ma8y7rqvbb79dv/3tb1VXVydp229cbrrpJk2ZMiXuIRPFcRyW2EeH\nVT7xhHJHj5YnJ8d0FAAAgCY2XHGFImvXNtnW7U9/kic721AiILk6MvPFNCyvXr1apaWlqq2t1fLl\nyxWNRnXQQQcpLy9Pa9as0V577RVTmGRjWEY8VEyfrvyrrpLj9ZqOAgAA0ELVrFkKnnSSqmbNUuid\ndyRJRb/7nby9esnxxPwkWcAKSR+WPR6PysrKVFxc3GT7hg0bVFJSokgkElOYZGNYRjxUTJumTtde\nazoGAABAm5SPGNH4ceHkycrad195CgsNJgISpyMzny+eQaqrqxUMBuP5kkDKC/O4NAAAYJGSefMU\nra7W+gsu0JZJkxq3AWiqXcPytTudPbv11luVs9M9mg0NDXrvvfd02GGHxS8dsBvhcDglFlzgsQzt\nlyrdITb0Zzf6sxfd2S3V+vPk5qr4L3/RunPOkSRVzZmjvNGjDadKTanWHZKnXcPysmXLGj9esWJF\nk39p/H6/jjrqKN10003xSwfsRigUMv4fLtd15SstNZrBRqnQHWJHf3ajP3vRnd1SsT/H71fJvHna\nMmWKqmfPVu1LL6nb88+bjpVyUrE7JEe7huU33nhDkjRmzBg99NBD6tSpUyIyAdZw6+rk/973TMcA\nAACIWeEvfqEtv/ylQkuWqG7RIgWHDDEdCUgJMd2z/NRTT8U5BmAnt7paDo9eAAAAliu87TaFly/X\n5p//XP7DD5eHk2JA7At81dfXa+nSpVq9erXC4XCTr11yySUdDgbYwK2pkSc313QMAACADvMfdJCy\n+vfX+lGjWPALUIzD8meffaYzzzxTK1euVDQalc/nU0NDg3w+nwKBAMMyMoZbU8OZZQAAkDYK775b\n688/X3Vvv63g8cebjgMYFdNTyCdMmKAjjzxSW7duVW5urpYvX673339fhx9+uF588cV4ZwRaFQgE\nTEdQpLxcnqIi0zGskwrdIXb0Zzf6sxfd2c2W/jw5OSq49VZtveceVT/3nOk4KcGW7hB/MQ3LS5cu\n1S9+8Qvl5ubK4/EoEonoyCOP1K9//WtWw0bSpMKqhJF161gNOwap0B1iR392oz970Z3dbOpvxxnl\nqqefVmTzZsNpzLOpO8RXTMOy67rK3n7pabdu3fTtt99Kknr16qUvvvgifumAFOfW1soJBk3HAAAA\niKuiJ56QJG348Y8NJwHMiWlYHjBggD755BNJ0tFHH62pU6fqzTff1KRJk7TvvvvGNSCQytzaWu5Z\nBgAAacfXo4eKZsyQJG285hrDaQAzYhqWb7vtNrmuK0maMmWKVq9erZNOOkmvvfaaHnroobgGBFKZ\nGw5LXJoDAADSkK9PH3X9/e/VsHKlNlxxhdxIxHQkIKkcd8fU20EbN25Uly5d9PXXX6tv377xeMmE\ncxxHcfrxkaEqpk1Tp2uvNR0DAAAgYULvvqstd90lSSr+29/keL2GEwFt15GZL6Yzy635+uuvdeGF\nF2r//feP10sCu9X8+d6wB93Zjf7sRn/2oju72dxf4Jhj1On66yVJ60aOVP1//5tRJ5xs7g4d065h\nee3atRo2bJjy8/N18skna9OmTVqxYoWGDx+u733ve/rqq6/09NNPJyor0EQoFDIdQdFNm0xHsFIq\ndIfY0Z/d6M9edGc32/vLPuUUdXvmGUnSpp/9TOvOOMNwouSxvTvErl3D8s0336zPP/9c48aNU3l5\nuS699FIdc8wxamho0Ouvv673339fo0aNSlRWIKW4rqvQe++ZjgEAAJAUnk6dVPzii42fr7/4Ym28\n6iptvvlmRaurJSmjzjgj/fnas/PChQs1c+ZMDRs2TFdffbX23XdfXXvttXrwwQcTlQ9IXaGQgoMH\nm04BAACQNE4wqKIZM1T9/POqe+ONbVfZrVmj9RdcIEkKHH+8Cm65RY7jGE4KdFy7FvjKysrSqlWr\n1LNnT0lSTk6O3nvvPR188MEJC5hILPBlt8rKSuXn5xt7/4oHHlDdokUq/vOfjWWwlenu0DH0Zzf6\nsxfd2S0d+3MjEcnjUXTdOkU2bdLmm25q/FrRI4/It9deBtPFTzp2l0mStsBXJBKRz/e/k9Fer1c5\nOTkxvTFgu4Y1a+RyDwsAAMhQjtcrx3HkLSmR/8AD1flXv1L2KadIkjaOH69NEybwuClYrV1nlj0e\nj4YNG6ZAICDXdfXKK6/oxBNPVHZ29v9e0HH0t7/9LSFh440zy3YLh8PyG3zGceUTT0j19cofP95Y\nBluZ7g4dQ392oz970Z3dMq2/8LJl2nzzzY2f2/zIqUzrLt10ZOZr17A8ZsyYPb6Z4ziaOXNmTGGS\njWEZHVH7yivy7bOPsnhcGgAAQAuRdetUOX26Qu+/L0nqNmeOPAUFhlMh0yRtWE43DMvoiJq5c5V1\n4IHK6tfPdBQAAICUFSkv14axY+UEAqz1gqRL2j3LAP6n6sknpWjUdAwAAICU5i0pUdGMGaz1Ausw\nLAMxckMhufX1pmMAAACkPF+fPsrq37/JfcxAqmNYBmLkKy2Vr29f0zEAAACs0PnXv1Z42TLVvfmm\n6ShAmzAsw1rhcNjo+2cdfLA8O60Ej7Yz3R06hv7sRn/2oju70d+2R03ljx+vrffdp5p580zHaTO6\ny1wMy7BWyPB9L7WvvGL0/W1mujt0DP3Zjf7sRXd2o79tcs44Q5JUOWOGal56yXCatqG7zMWwDMTA\njURMRwAAALBSyfazypWPP65IebnhNMCuMSwDMXDr6pQ9fLjpGAAAAFYqfvFFSdLmW2/lUa5IWQzL\nQAzcujp5unY1HQMAAMBKTjCorr//vdxwWOvOOEORsjLTkYAWGJaBGETKy+XW1pqOAQAAYC1v9+4q\nvO02SdKGyy9XzV/+YjgR0BTDMqwVCASMvXfonXcU+eYbY+9vO5PdoePoz270Zy+6sxv9tS7rgANU\n9OijcgIBVT7xhMpHjFB0yxbVf/aZ6WiN6C5zOW4G3yTgOA73SCAm5SNGKP/KK5Vz9tmmowAAAKSF\n9RdcoGh1dePnuaNGyVtUJP9RR8lbXGwwGWzWkZnPF+csQEbI2ndf+fr1Mx0DAAAgbXR7/nlVzJgh\nJytLNS+9pOpnnmny9bzLLlPuD39oKB0yEWeWM/fHRwdUzZqlnLPPlqegwHQUAACAtBStrpYiEW2Z\nPLnJZdndXnhBTna2HMcxmA626MjMx7CcuT8+OmDdueeq6x//KE9OjukoAAAAGaH+s8+06cYbJUlO\nIKCc885T3o9+ZDgVUl1HZj4W+AJi4IZCcrxe0zEAAAAyRtYBB6jb7NnqdOONckMhVc+Zo/IRI0zH\nQhpjWIa1wuGw2QA+bvmPlfHu0CH0Zzf6sxfd2Y3+4sNTWKjsk09W8dy58vXuLUmqfu65hL4n3WUu\nhmVYKxQKGX1/zizHznR36Bj6sxv92Yvu7EZ/8eU4jop+9zsVTp6sqqeflltXl7D3orvMxbAMxCDr\nwANNRwAAAMh4gYEDlT18uNadd57pKEhDDMtAO7mRiHx9+5qOAQAAAEn5P/uZJGnLpEmGkyDdMCwD\n7RTdtEmRsjLTMQAAAKDtl2Q/8ohC77+vhrVrTcdBGmFYBtqpYdUqefLzTccAAADAdr699lLOWWdp\n4xVXKFpbazoO0gTDMqwVCATMvLHrKjhkiJn3ThPGukNc0J/d6M9edGc3+ku8vCuukCSt/+EPFa2p\nidvr0l3mYliGtfx+v5H3dcNhKSvLyHunC1PdIT7oz270Zy+6sxv9JZ7j8aj4z3+Wp0sXrT//fLlx\nWsWa7jIXwzLQXg0NchiWAQAAUo4TCKjrk09Kktade67cSMRwItiMYRlop6333Re331QCAAAgvpys\nLOWceaYkad3Ikap7+2250ajhVLARwzIQg0Q++B4AAAAdk3/VVSr+61+V/5OfaOs996h2/nzTkWAh\nhmWgnXylpfIfcojpGAAAANgNx+dTzsiRyjnnHFU+8ojKR4xQw9dfm44FizAsw1rhcNjI+2YNGCBP\nYaGR904XprpDfNCf3ejPXnRnN/ozJ/+KK1T0+OPy9uihjVdfrXVnnaW6t99W9QsvtGnVbLrLXAzL\nsFbIwH3DDd9+q/CyZUl/33RjojvED/3Zjf7sRXd2oz+zfD17qusTT6jLAw/IbWjQ1nvuUdVTT2nD\n6NGKlJWpYdWqXX4v3WUuhmWgHeoWLlTku+9MxwAAAEAMsvbbT8Vz5277+IAD5NbXa8Pll2vjT3+q\n6hdfNJwOqcZnOgBgE2/Pnup0442mYwAAACBGjuOoZN48SVK0pkbrzz9fklT15JNq+PJLdZowQU4g\nYDIiUgRnloF2cGtrlbXPPqZjAAAAIA48OTkqmTdPRTNmKDh4sOoWLdK6c89V1ezZilZWmo4Hwziz\nDLRDtKJCTl6e6RgAAACII1+fPiq4+Wb5jzxSnqIibbnjDlXPmaPCu++W9t3XdDwY4riu65oOYYrj\nOMrgH9964XBYfr8/qe9ZPmKEiv/8Zy7N6SAT3SF+6M9u9GcvurMb/dklumWLKh58UKH33pN70EHq\n/utfm46EGHVk5uMybFjL1P/hMCh3HH9ZsBv92Y3+7EV3dqM/u3gKC1U4aZIkyVm+XJGyMsOJYALD\nMtBGbiQib3Gx6RgAAABIkpJ58xT8/ve14fLLFSkvNx0HScawDLSRW1mp4NChpmMAAAAgiQpuuEGO\nz6cNY8cq9O67puMgiRiWgTaKbt0qT0GB6RgAAABIsqInnpAkbbnrLlU88IDhNEgWhmWgjaJbt8rp\n1Ml0DAAAACSZt1s3lcybp9yLLlLta6+p9uWXTUdCEjAsw1rhcDip7xfdvFneLl2S+p7pKtndIb7o\nz270Zy+6sxv92Wvn7nJ/9CN5CgpU8fDDCn/yCU/WSXM8ZxnWCoVCSV1ZMrJhg3z9+iXt/dJZsrtD\nfNGf3ejPXnRnN/qz187dOR6PCidP1qYJE7T5llskSb7evZU/frxqFy5U3cKF8nTqpGhFhQp/8Qtl\nHXaY3K1b5e3e3eSPgBjxnOXM/fGtV1lZqfz8/KS9X/mIEer23HPy5OUl7T3TVbK7Q3zRn93oz150\nZzf6s1dr3bmhkOreeEMVDz3U5tfJHzdO2SNGyPFxvjKZOjLz0RTQDk5urukIAAAAMMwJBJR96qnK\nPvVUSdKWSZOUe8kl8uTlydOtm+Q4UjSqmr/+Vf6DD9am669X5WOPqfKxx9T1ySflLSkx/BOgLbhn\nGWij7FNPleM4pmMAAAAgxRROnqysfv3kLSmR4/HIcRw5Xq9yzz1XWfvvr+KXXlLR44/Lf9hh2jB2\nrMpHjFDoww/3+Lr1X3yh8hEj5EajSfgp0BzDMtAGbiQieThcAAAA0H5OVpZ8PXuqcMoUZe23nySp\ncto01S1atNvvC739tiSp7rXXEp4RLfG3f1grEAgk7b3c6mp5uAQ7bpLZHeKP/uxGf/aiO7vRn73i\n2Z3j9arLAw+o6NFHFVm3TtUvvNDqfjvusa1+4QUVPfGEops2xS0D2o5hGdZK5oqS9Z9/rmhNTdLe\nL92xGqjd6M9u9GcvurMb/dkrEd35SkvlLS5Ww1dfqXzECEXKypp8fd0ZZzR+7O3eXZF167Zd6Yik\nYoEvoA2qn3lG0cpK0zEAAACQJrrOnKmGVau09b77tOHyy5U7erQaVq1S3o9+JElqWL1anoICOY6j\nhpUrtW7kyG33QY8apdxRo/b4+m4kIsfrTfSPkdZ4dFTm/vhoh+oXX1Rg4ED5+vQxHQUAAABppnzE\niBbb8saOlbd7dwWPP141c+eq8pFHGr8WOPZYBQcPVuDEE3e5AG35iBHqdP31Cv3rXyr8xS8Slj3V\ndWTmY1jO3B8f7VA1a5Zyzj5bnoIC01EAAACQpsKffqrNEyc2ft7l4YeV1bfvtq99/LFc11VW//5a\nf/75jfsU/e53kiRf796qmDFD4fffl7e0VOEPPpAkeYuL1XXmzCT+FKmFYTlGDMtoq3Xnn69uzz7L\npSwAAABIuPUXX6zg4MHKu/LKXZ45rpo9W9Vz5uzyNYLf/77qFi5UYOBAFU6enKioKa8jMx/3LMNa\n4XA4aYtluDU1DMpxlMzuEH/0Zzf6sxfd2Y3+7GWiu25/+MMe98n70Y+UO3q0QosWqfrFF5XVv79y\nzj5b3qIiOcGgXNdV3cKF8nTpkoTE6YlhGdYKhUJJ+w9X9qmnJuV9MkUyu0P80Z/d6M9edGc3+rNX\nKnfnOI6CJ56o4Ikntvq1bi+8oKrHH1dk/Xp5u3UzkNBuPDoKAAAAANKQJydHtQsWaMOYMaajWIlh\nGdgD13WlaNR0DAAAAKDdus2eLV/v3qZjWIlhGdgDt7ZWTm6u6RgAAABAu3kKC5U1YIDpGFZiWAb2\nILppEwsjAAAAwFqO3y+3rs50DOswLMNagUAgKe8T3bRJns6dk/JemSJZ3SEx6M9u9GcvurMb/dkr\nHbrzdOmiyKZNpmNYJ+WG5UWLFmnkyJEqLS2Vx+PRrFmzWuxz5513qlevXsrJydFJJ52k5cuXN/l6\nKBTStddeq27duikvL09nnXWWvv3222T9CEiSZK1KGN2yRV7OLMdVqq4oibahP7vRn73ozm70Z690\n6M63116KrFplOoZ1Um5Yrq6u1qGHHqoHH3xQ2dnZLR7CPXXqVN1///16+OGHtXTpUhUXF2vYsGGq\nqqpq3GfChAn685//rGeffVZvvfWWKioqdMYZZyjKIk2IgVtTIycnx3QMAAAAICbevfZSw5o1pmNY\nx3Fd1zUdYlfy8/M1ffp0XXLJJZK2rUrcs2dP/exnP9Mtt9wiSaqrq1NxcbF+85vfaNy4cdq6dauK\ni4v11FNPadSoUZKkb775Rn369NHLL7+s4cOHN76+4zhK4R8fKaL6xRcVOOYY+UpLTUcBAAAA2s2N\nRFQ5Y4Y6XXut6ShJ15GZL+XOLO/OypUrVV5e3mTgDQaDGjJkiJYsWSJJ+uCDD1RfX99kn9LSUh14\n4IGN+wDt4dbUsBo2AAAArOV4vQp/9BEnCtvJZzpAe5SVlUmSSkpKmmwvLi7Wd99917iP1+tVUVFR\nk31KSkpUXl7e4jVvvfXWxo9POOEEDR48WIFAoNV7E8LhsEKhUIvt7J/e+4erqpTbymXYtuRnf/Zn\nf/Znf/Znf/Znf/av9vmUtXatPPn5KZEnUfv/4x//0OLFi1t8LRZWXYa9ZMkSnXDCCVq9erVKd7ok\nduzYsVq7dq1efvllzZkzR5deeqnq6+ubvNb3v/997b///nrkkUcat3EZtt3C4XBSFlyomDZN+ddc\n0+L+ecQuWd0hMejPbvRnL7qzG/3ZK126q/nb3+Q/7DD5+vQxHSWpMuYy7O7du0tSizPE5eXljV/r\n3r27IpGINm7c2GSfsrKyxn2QHlr7LVMi1C9fzqAcZ8nqDolBf3ajP3vRnd3oz17p0p2nc2dFms1I\n2D2rhuW+ffuqe/fuWrBgQeO2uro6LV68WIMGDZIkHXXUUcrKymqyzzfffKPPPvuscR+gPSI8dgwA\nAACW8xQVKcqzltsl5e5Zrq6u1hdffCFJikajWrVqlT7++GMVFRWpd+/emjBhgu655x4dcMAB2m+/\n/XT33XcrPz9fo0ePliQVFBTo8ssv18SJE1VcXKwuXbrohhtu0GGHHaZTTjnF5I8GSwWHDTMdAQAA\nAOgQT16eGiorTcewSsoNy0uXLtXJJ58sadv15ZMmTdKkSZM0ZswYPfnkk5o4caJqa2t19dVXa/Pm\nzTr22GO1YMEC5e60WvEDDzwgn8+nCy+8ULW1tTrllFP0xz/+kUtpERvuawcAAIDlnNxcRWtqTMew\nSkov8JVoLPBlt8rKSuXn5yf0PdxoVJXTp2fkM+kSKRndIXHoz270Zy+6sxv92StduovW1qp69mzl\njh4tJxiU47HqjtyYZcwCX8DOAoFAwt/DrayUEwwm/H0yTTK6Q+LQn93oz150Zzf6s1e6dOcEg6r5\ny1+08fLLFV661HQcKzAsw1rJWMK/4ZtvJK834e+TadLh8QuZjP7sRn/2oju70Z+90qW7HbekRisq\ntOWuuwynsQPDMrAb0Y0bFTjySNMxAAAAgA7r9uyzkqSs/v0NJ7EDwzKwG5GyMnlKSkzHAAAAADrM\nk5+v7NNPlyc/X/VffWU6TspjWAZ2o/rZZ+Xt0sV0DAAAACAuOl1zjQInnKCal14yHSXlMSwDuxEc\nPFhOmizqAAAAAEhScOhQ1S1caDpGymNYhrXC4XDi3+OTTxL+HpkoGd0hcejPbvRnL7qzG/3ZKx27\nc7KyJEnRykrDSVIbwzKsFQqFEvr6ruvKz+JeCZHo7pBY9Gc3+rMX3dmN/uyVrt05gYC2TJmihtWr\nTUdJWQzLwC7wjGUAAACkq6JHH1X9p59y7/JuMCwDu1D7yisK8cB2AAAApCFP167q8tBDqn31VUVr\na03HSUkMy8AuVP3hD8o54wzTMQAAAIC4cxxHWf36KfuUU1QxdarpOCmJYRnYhcD3vqfA8cebjgEA\nAAAkTN7ll3M15S4wLMNagQQ/0in88cfyFhUl9D0yVaK7Q2LRn93oz150Zzf6s1e6d+fp1EmB3noO\nEQAAH5hJREFU446TG42ajpJyGJZhLb/fn9DXd9N05cNUkOjukFj0Zzf6sxfd2Y3+7JUJ3fl699bG\nsWNV3sFbECumT49TotTAsAy0wnVdZZ92mukYAAAAQOJFo4qsXy//IYfIjURifpna+fPjGMo8n+kA\nQCqKrl8vx8fhAQAAgPQXraiQ/4gj5O3WTetGjpQk5Ywcqfyf/MRwMrOYBoBWVE6frvCyZcofP950\nFAAAACCh8q+6SvJ6JcdR7YIFkqTId98ZTmUel2EDraj/739VOGmS6RgAAABAwjmBgByfT47Xq+K5\nc1X8179KHkZF/heAtcLhcMJeO7p5s5y8vIS9fqZLZHdIPPqzG/3Zi+7sRn/2yrTuHMeR4/PJw1Nh\nGJZhr1ACV6vOPu00ZfXrl7DXz3SJ7A6JR392oz970Z3d6M9eGdud67Zz9/btbwOGZaAZNxxW7Suv\nmI4BAAAA2KOhwXSCuGNYBpppWLPGdAQAAADAKMfnk1tf3+b93TS8XJ1hGWim/vPP5T/kENMxAAAA\nAGOc7Gy5tbVt2rf2lVfU8PXXkqRoTU0CUyUXj44CmnNd5V1xhekUAAAAgDGNw3KnTnvct2LatMaP\na19+WbnnnZfIaEnDmWVYKxAIJOR1Q+++K2/Pngl5bWyTqO6QHPRnN/qzF93Zjf7slandObm5qp0/\nf4/7uaGQfH36/O/7fOlzPjZ9fhJkHL/fH/fXdCMRhT/4QJ6cnLi/Nv4nEd0heejPbvRnL7qzG/3Z\nK1O7c4JBVf/pT8odNUpOMLjL/aKbNyt44olqWLNG3pISNXz1VRJTJhZnloGdRDdtUtaBB5qOAQAA\nABgVWbdu2z83bGiy3Y1G1bBqVePn0a1b5encWQU33aTcH/9Ytf/4R1JzJhLDMrCT6JYtCp58sukY\nAAAAgFG5F1yg/HHjFN2yRdK21a7daFTRdeu08ac/VaS8XNK2vz97CgokSY7jyNujh6IVFcZyxxPD\nMrCTmr/8RZG1a03HAAAAAIxyfD55e/aUW1kpSdr6y19q3ZlnqmH735XrFi+WtP3M8vZhWZKyTz9d\n9Z99lvzACcCwDOzE26uXgkOHmo4BAAAAGOfJz1d0+7Ac3f4YqfDSpep0442NC3mF3n9fzk7DcuCY\nY7Rl8uTkh00AhmVYKxznB5+7rqvqOXPk6dIlrq+LluLdHZKL/uxGf/a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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops! Unfortunately we saturated our roll sensor. But should be able to get some data out of the magnetometer.\n", "\n", "Since the magetometer is looking mostly at the Earth's relativly fixed magnetic field, I would expect to see it change as the rocket spins. Here we want $y$ and $z$ axis:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = utils.Plot(r\"Launch 11 Magnetometer\", \"Time [$s$]\", \"Magnetometer Values [$T$]\")\n", "fig.plot(timestamp, mag_y, label=r\"$y$\")\n", "fig.plot(timestamp, mag_z, 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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Ne+KJiIiIyEGU9nbIWZwRHyPX1EDp7LSxR5SISTxRIXAmnoiIiIgcQmlvh6u2\nNuvnu+rqoDKJzxsm8UT5xpl4IiIiInKSSARSDsv15ZoaJvF5xCSeKM+EEJA4E09ERERETqEoOT1d\nrqqCwj3xecMknshGoVCo2F2gHDB+zsXYORvj51yMnbMxfs6W1/i53Tk9XSorgxgctKkzlIpJPJGN\nglpHabA6vWNoxo8cgbFzNsbPuRg7Z2P8nC1f8ROhEKRck3hZ5pbSPGIST1QITOKJiIiIyAHUri7I\nNTXF7gbpYBJPlG8chSQiIiIih1A6OyHnUJk+jpNYecMknijfuJyeiIiIiBxCtSuJl2WIHAvkkTYm\n8UT5JgQg861GRERERGOf2tkJlw3L6eWqKqi9vTb0iFIxsyCykc/nS3+QM/GOoRk/cgTGztkYP+di\n7JyN8XO2fMVP6eyEXF+f83VcPCs+b5jEE9nI6/UWuwuUA8bPuRg7Z2P8nIuxczbGzx6iSFX+8xU/\nMTwMuaQk5+vINTVQu7ps6BGlYhJPlG+ciSciIiLaK4U//hhtp5yCzu9/H0JVi92dMUWuqYHCmfi8\nYBJPlG+sTk9ERES0V+r64Q8BAJHt29F24olF7o1NbPrsKtfWciY+T5jEE+WZEAISZ+KJiIiI9ipq\nXx8AoOHhh9Hw4IPwzJ5d5B6NLXJlJffE5wmTeKJCYBJPREREtFcJvfoqqn78Y0iSBMnng1RaiuHH\nHy92t3IigkFINu21l1wufgbOEybxRDYKhULpD3I5vWNoxo8cgbFzNsbPuRg7Z2P8chP+9NOk2feq\nyy9H+N13C3b/fMRP7euDVFFh+3XJXkziiWwU1KpOysJ2jqEZP3IExs7ZGD/nYuycjfHLnlAUDG3c\nmJTwSn4/hjdvLli1+nzET+3uhqu62vbrkr2YxBPlG5N4IiIior2K0tqKsm99K63uUdm55yL0zjtF\n6lXu1J4eyDYm8ZLXC8EVH7ZjEk+Ub0IAMt9qRERERHuL8DvvwDVhQtrjnpkzMbJ5cxF6lB2Rsu1T\n7e62N4kvL4fa32/b9SiKmQVRHoQ/+KDYXSAiIiKiPOn75S8h19WlPe458EBIPl8RemSNEAI3/CWC\nX25S8OL7e863V3t6IFdV2XYfubwcgkm87ZjEE2WgtLRAaWtD+L33EPn8cwhFgdLdHX28qwtDmzZB\naWtDZPv26Ne6uqB0dUEIga5LLtlzIRa2IyIiItprCCHgmz8f3v33T/uaJEmAqmo8a2z50z8VyDKw\ndJ6M597a+GpTAAAgAElEQVRR8fHuaJ/V7m7bk/jYUXxkH3exO0A0FoU/+CA5Ec+g/7e/TX6eLKNi\nw4bkRqoKKArUgQHIZWV2dpNs5nPAyDlpY+ycjfFzLsbO2Ri/7IjeXkR27sz4dSkQgBgZgeT357Uf\n2cYvogj4vRIu/poLANDeJ9A9EP2aCIdtXUkgVVRwOX0eMIkn0uCeMQMNDz4IeDyQZBlCUQAAkW3b\n4GpuhuRyQR0aAiIRyDU16Dj7bFT88IcY2rgRak8PAEBEIpDcbohwGEN/+xvUri5UrllTzG+LDHht\nOheVCo+xczbGz7kYO2dj/LIT/vhjlK5cmfHr7hkzEHrnHfi+9KW89iPb+L33ucC+E/YU5Js3U8Zv\n/q5g/r6y7StI5fJyRNrabL0mcTk9kSbJ5YLk80EaLUgnuVyQXC54ZsyAXFICyeeDq7oarvp6SC4X\n6u+9F75DDkHorbcwsmULXA0NEIODAKIjmpBlVuYkIiIi2guEtm6FZ+bMjF93T5sGZffuAvbIml2d\nAvtN3JPEl/qAfeqlaJE7m09UkisqoPb22npNYhJPZKvKNWugdnbC1di4J2kPhyH5/fHZfCIiIiJy\nrpGnn4Zr4sSMX3dNmIDw228XsEfWKAJwu/Yk65IkQVUFtrUJ+2fia2qgdHXZek1iEk9kK8nvh9La\nCng86Dj77D2PezxAJFK8jhERERGRLXzz50NyuTJ+XS4pyft++GxFFAGvxobq4w5yob0zEv3MaiPJ\n6wU4kWU7JvFENpK8XoTeeiu5gJ0Q0V+I/AVGRERE5GjqwIC5RFeSIMZglfp3dgjNj6Q15UB3dxBS\nRUXhO0WWMYknslF4dB+RlJjESxLgckX3xtOYFmLdAsdi7JyN8XMuxs7ZGD/rIp99BrfOfvgYuaYG\namdnXvuSTfz6hgQOn52eAsqShKGBMOTycju6lozHLduOSTyRjUKZioG4XJyJd4BgMFjsLlCWGDtn\nY/yci7FzNsbPOmXHDt398DGu5ua8F7fLJn5DI0B5ifbn1R3dLiillbl2K53NxfKISTyRvdyjm4xS\n97/nodonERERERVWZNs2uKdONWznnjBhTFao15sTP7x0O7oCDfbfNOG4ZrIHk3giG8X2SJWdcw78\nCxbs+YKiADLfbkREREROJoaGIJeUGLZzTZgAZdeuAvTIvGBYwJO5Hh/qgm3ocNfafl+5rAxiYMD2\n645nzCqI7DQ6Ey9XVEAqLd3zuKpGl9QTERERkXOZnJSRKyowuHFjnjtjTWc/UF+ZeWVoZf9utIbL\nMn49W3JFBdS+PtuvO54xiSeyUVK10tjyeUmCUBRInIknIiIiciwRDAIWjmALHHdcHntjXXuPQE15\n5iTePdiLd9vsPWIOAKSKCqi9vbZfdzxjVkFkI1/i7HsiVeVyegfw+XzF7gJlibFzNsbPuRg7Z2P8\nrFHa2+FqbLT0nHyeTmQ1fp39Ag06detEfz8OnGr/51W5spIz8TZjVkFkI39lJRr+9rf4v0XsSI1I\nhMvpHcDr9Ra7C5Qlxs7ZGD/nYuycbSzET+3pQevy5WhdvnzP56YxSmlpsZTEuyZPzmtxO6vxi6iA\nx515Jj748svwuYGRkL1xkCsqIJjE24pJPJHNpMRkPRSC5PVGl9PrJPEiGETHueeidflydP+//xdd\nrkVERES0l+v8/vfj/7/vf/6niD0xprS2Wkvim5qgtLXlsUf28h9zDKpKJfQM2ntdqbwcan+/vRcd\n55jEE+WRCAYh+f2ahe2Ujg6MPPccWpcvR9spp0BpbQUAhLZuRdsppyD01lvF6DIRERFRQQhVhdrb\ni4aHH0b9H/+IkX/8Y0zPxiu7d8M1YYLp9q76+jGTxBu9riIYhOTxoKoM6Oq3fyaeSby93MXuANHe\nTIyMRJN4RQEUBSIcxuCf/oTBP/wh3sYzaxb8ixYhsHQpJFnGyDPPwLPffug47zzIpaWo/9Ofivgd\nEBEREeXH8KOPonTlSkiSBKmiAgCgdnTAVV9f5J5pE0NDkDPVP9LgamhA8Pnn89gj83qHgFKdLfRq\nXx+k8nJUlUrY3WVvEi+VlEAM2jy9P84xiSfKo1gSL1QV3kMOQdvXvw4AKP/Od+CZPRueWbPSnuP/\nylcAALW//jU6f/ADDD/xBAKLFhW030RERET51r9+PeoTJjaqr74aoVdfRWDp0iL2SofFVQLSGCro\n1jsoUFuReT+82tcHubISgQAwMGJzEi9lvi9lh0k8kY1CoVBSkRERDAI+HyAE/AsXQnK74d53X3hm\nzDC8lnvqVNTffz/azzgD/qOPhuTm2zXfUuNHzsHYORvj51yMnbMVM36x5Fau3FMu3TN3LoaffHJM\nJvFCCMsnDUmSZDnxt8JK/HoHgfoqnSS+txdyZSVcsgRVtauHlC/cE09ko2BiQToh9iynBwBJQmDp\nUlMJfIxcXg7/UUehfcUKm3tKWoJFLCjYf9ddhgUNRTCI/rvuKlCPkimtreheu7Yo9zajmLGj3DF+\nzsXYOYMYGUHk88/THi9m/JTdu1H+ve8lPSZ5PBh56imoQ0NF6lVmYnAQkoWl9HuemL8k3kr8egcF\nqnS6L0Zn4skZmMQT5ZHa0wMpdoZnlkuJyv/zPyFCoXjhO3Ke/ttuM2wztHEjwh9/rNsm+OKLGNq4\n0fBaSns7Ijt2GLYTioK+X/7SsB0A9F53HUKvvWaqbWTXLkuFfNThYdNtiYjIGqEoaDv1VHRecAFC\nW7cWuztxkZ074Z48Oe3x0m98A6HXXy9Cj/SpPT1ZJblSWdmYGJQYDgN+T+avq319kEfrEkAC1DFc\nYJCYxBPljyRh5KmnIJeXx/+dDbmkBNU//zn6brrJxs6Nb63LlyP073/bci11eNiw4uvQQw8ZtnHV\n10Pt6dFtI/l8kGtqDPs0/PDD6P/NbwzbRT79FMNPPGHYDgB8X/4yvF/6kqm2Q5s2oeOcc0y1FYqC\n9tNOGzPViNWhoTHTFyIiOwzeey8AoPq//xt9v/pVkXuzx8Add8DV3Jz2eMnXv47wu+8WoUf6gv/6\nF9TeXsvPczU2jomJGFXV35uu9vfHiwuW+oBhuxdpyDKEoth80fGLSTxRHsk1NfB+8YvRf+RQ1MNz\n4IEIvfHGuJyxzMeRJO599kFk+3bDdqE33zRs037aaaY+bAiDwjZyZSWEwYcDtb8fcnm5YZIZeust\nKBrLJtP6NDAAyeczlbSqFiryymVl8B12mKm2akdHtC8m49x10UUIf/KJqbbZ6DjrLAw9+GDerk9E\nVGjhjz5C/QMPwDt3LpSWFoiRkWJ3CQDgnTdPswq9XFExJiuZS14v/MccY/l5roYGqGMgiTfazq/2\n9sYnnspLJPTaHAK5rAxiYMDei45jTOKJCiWHJF6SJHjmzjW1lDofxMgIwh98UPj7CoH2M86AMFlh\npXX5cgxv3mzYzj11KpTduw3bda9ZY1hV1tXQAGXnzoxfjyXIymiymolUWWk4wi8GBiDX1QEGe+C8\nBx+suUQxlTo4CPc++8QTad17Dw9DCgQM2wEpS/IMKK2t8Oy7L9TublPtRTCIiMG2g6S+DAxYmln3\nzJo1Zj7gEhHlSggBKRCAXFYGAKhcvRrBV14pcq+i58NDb1Z2DFZWUzo64Kqrs/w8V1NT0Wfig2EB\nr1F9ZEWB5Imut68sAXoG83BW/Bip1L83YBJPZCOfL+EAztTEIcfjNSouvhiDf/xjTtfIVucPfoCu\nSy7JKblR+/ow/Pe/W3pObHbW7PI1rWV5WqSSEgiNVQ1J8RuldHbqXss9eTKU9vbMDYJBuBoboepc\nR6gq5Koqw+9T7e+PLrs3WJEhBgYgmdi3J4aG4NpnH3N/VFU1OmtvpoiOEKZ/3pWWFnjmzDGVxIuR\nEci1tZr91YodAHR861u6gyyp5Lo606sCyD6Z4kdjH2M3tik7dyYV1PUceCDC770X/3ex4qfs2gX3\nlCkZvy5VVBhuMSs0MTAAaXQwxApXY6OpiYNsmI3fwDBQHjD/ObSiRMKAzePZUnl5XlZXjldM4ols\nlHTMR8pRJLmekemeMAGBpUuLUhxF8ngQWLYM4fffz/oavVdfjb5bbrH0HKWtDe6pU6F2dZlq72ps\nNPdHP0Msko4HVBTIlZWGyaVUWam7VF4dHo7Odusl8SMj0eX04bDuvdT+frjq6gwHU0Q4HB9N1203\nOAhXU5PppFUyO4quqpC8XlMJv9LeDs/s2YaDJUB0MMc9bZrm6611xI4QAlJpKSKffmrcZ0RjLnm9\nhnFIpLS3o33lStPtSRuPKHMuxm5sG/773+GeOTP+b1d1ddJS9WLFL/Lpp0n9SuWeNKnos9dasvks\nJ/n95gbAs2A2fj2DAhVGi+kSJp/K/MCgzWfFywafl8gaJvFEeTL8+OO2j7x69t+/KMVe3DNnIrBk\nielkSItcU2NqiXcipbUVntmzTSfxcnW1/qw4YHpptdrdDff06br3FooSnZ3WSfrE0BDkmhrdxFsM\nDESXOhr1TVEglZdrriJIY6KAjDo4GB34MLn3UM6wgkGLVFpqqq3o64N7yhRTM/HqwABcTU2m+yt6\ne6MDBAY/E/Hr9/SYKhyYSNm9O6tCR9kQkQhEJFKQexEVkggGC1bwarwt5w2/+y48+++f9JgIh4s+\nI6q0tMA1YULGr7uamqC0tBSwR3mW40ROrvqGgcoygz4kbGHwuCWEbX5Lcjm9vZjEE+WJ9+CDIblc\nex6w4Re4a+JE9Pz4xzlfxwp1eBhyRQXc06ebKgaXiRQIwHvwwZaW5KttbdEk3sxSa1WF5Pcb76ML\nBvcc+6d3766uaBKvk6CJoSHIJSX6/Rp9/UQolPleFs6elQIB4+RYkky1E4ODhgMMSZf1+821lWXT\nbUUkArmmxtQfdjE4aG6wY1Rk92545841v9/e4vUBQO3shGfmTEvLPtWhIbQuX266fczAXXeh7Wtf\ns/w8MTKCzpSzmE0/Vwj033FHVs8lMqv/zjvRdtJJlo6mzIYQAu1nnomea67J63207puvmVgj7n32\nSStK6jv00KJXf1fa2jSL2sW4mpowMFpVfywQimJcGW4M6x8SKNeZiReqCriNNs3nRiovZxJvI+f+\nNBKNcRUXX4yy7353T/JuQxLv3X9/+I48MufrWKG2tcHV0ADJ5bK0zFiLXFMDxeSsOjA6E7/ffqZm\n4sXgIKSSEsMETDVZoE3p6IC7uVn3g5cYGoreUye2YngYclWVbhIvBgYMrxNtKKLJsYkZbjPtxMhI\ntG9mZ9etzMQHAqa3fkher2GxPmA0xiYHO4Bo5XvX5MmmqxxbGUyJUTo74T3oIEvLPmN79K28F4Bo\nvPxHHWXpOQAw9MgjiHz2WVYzb8F//hNDf/lL1sfuDW3ahJFnn83quTQ+CFXF8COPoPKyy2w7+jOT\ngdtvBwAEn3sur/dJ1XbCCWg75ZSCnzAjFAXQ2FrlnjYNkR07CtqXVMOPPgpJJ2l0NTbCo7PcvtDU\nnh7I1dXZX8DtLupKqhGDM+LF6Ok3+SSbKOBL5jGJJ8oTV10d3ImF1mxaShV87jnDSud2UtraII+O\nlktZ7p0TIyPRM86rq00vjQeiSyxdTU3mllr395uqiG4m8QZG/2A3NgJ6S+Vjs/o6CY4YGYnumzda\ncm9yBlgKBIxnuIWAbGbGHtb26pmZXReRCOBymZ+1BwCT+9BVi0WF4tsUzLaPJfFut+6gS1KfOjrg\nnjHD0ky80tISrTGRUFzKXAcFJI/HdN/23FBBycknZ7U0NfTmmyg59VRTJxho6f/tbzH88MNZPTem\nWDOY+SYUJe9JqxOobW0oPesseOfNQ2Tbtvzea2AA1ddfD/+CBQgVaCY68X3XftppBblnjNrerjnb\n7WpqgvLZZwXtSyIhBAJf/aphO8lgpVshqR0dcNXWZv18uarK9KqwfBBGZ8T39EBOKYgrAVCzHMDV\nIpWUQBShrtPeikk8kY1CWh+ubZyJB4DKyy5D57nn2nItM5TRmXgA0f3fWVSoVzo6INfVRZdNW/kj\nJkmGe85jzI4ii+Hh6LJ7DYnxE8PD0SIsejPo4TBgMLARW06vN9OsDgyYX05vMjk23c7MsvtweE9i\nbmJ2X/L7o9c1OxMvSabeH2JwMONZ9VrvPXVwEJKFmQUxNAS5tBRyeTlUk2fZilAoWlfAws+10tYG\n74EHWq+8LElwTZhg+YOg0t4eXS2wa5e1+wGAqsK9zz6m6wqk8n/lK/FBQD2avzsBDD/xBNpOOSXr\nlQAxZuNpxM4BhbaTTkL36tW2XS+f+u+6C/233ab5tUyxMyvy+edwT54MuaIi78eoKjt2wDtnDgIn\nnoiRJ5/M671iBjduRNnZZ6PxkUfgX7CgIPeMiXz2GVyTJqU9LrndwOh2v1zjlw1h9hhSIawPWuaJ\n0t4ePeI1S666Ot0Ct9kyGz/JzBnxVVVJjwV8wLCNY6i5FnimZEziiWwU1PuAZ9MvL99RR8FXwA8C\nakISL9fWWl4CDIyeG15ZCVdNjaWZeKv3kMrKDF9nMTQUXU6vkRQkxk8Eg5DLy/WT+FAoWgVebzn9\n0FB0T7zOMrr4XmwTPyNGSbdQlGjCbWbGHiZn10eTZ1MJ/+iqC7P3t0IdHMwYY633nujvjyb9Jt97\nscEUq32Xq6qszcTHtolY2P8rRo/tk6urrSf/kQjcU6cikuXMm1xbm9WHT6EokMrKEHzuueh+Sx2Z\nfnf2/fKXAIDIhx9avn+M0tGB9m98I+fjqoQQaDvlFITeeSen6wDR18b7pS+h5MQTbXufCCHQeeGF\nCL72mi3XS7zu0MaNGHroIc2+6v7dMyHy8cdw77MPACCwfHneTmCJ7NgRH9Tz7L9/QQqNCSEw/Oij\nCIzWwBh57rmCVlxXdu2CWyOJjxFC5By/bCitrXA1Nhq2U/v6EHrzzQL0yJja0aG7h9+IXFNj6hQW\nq8zET1EFZKOadhpJfJlfwqDNx8yRfZjEExWKTR8YpNGiYYWi9vdDGh0xt7ocPiY2S57t881QYzPx\nBjN2YmQkWozOqHp7MJgx2Y8Lh6NbDPSW05vYg29mP38sOTdaJi8GByGXlJgrgAeYOvtdHRqKJ7eG\nZ9QnzsTbvP8zNgAjuVymZmdi/Tb73ostpzdbdyBGsjBzDwCIRCA3NlraGyhGRiAFAtH3kNUlmZIU\nTcSt7sEPhQC3G64sk3i1vR2uujqUnHRS1scKBb76VVSuWZNTMaSBu+4CgJyOyASA4Oje/tDrr+d0\nHQCIfPIJfPPmwT1tmm1L6oPPPYfIJ5+gZ+1aW64Xo3Z1wTN3LkpOPRUDv/+9rdcGRhO60STeM20a\nlM8/t/0eQDT+pStWAEC06KxREVQbqF1d8MyeHS+AWnLKKQh/9FHe7xujtLTA1dSk+TW5ogKiSPuT\nldZWyBn6lajkxBPHzPJrpaPD1KqiTCyvRLTR4Eg0Idej9vbGP+vFlAWA/mF7j5lDgU6hGA+YxBMV\nio2j/iNPPlnQ0fzYEihXFokAkDDDaTXZsUCMzvYbthtNqo2SVxEMRgdL9BLrUEizaFAiNTbzr9dG\nZ4Y5qT8+n+HMeexappfTm/gwKwYGojPxZpbTj75uch5m4kUotGeW30ySraqQXC7TRRnjKw5M1gmI\nzY5b3mYiSdH3lIVKx7Hih3JlZVYfBK3eD4ges+iqrYVcV5fVDJLS2gpXU1N0BiqHOh6u5uacjpqS\nPB7Url+f835rpbUVtbffbsuS2Mj27XBPnx49AtGmpFVpaUHNDTfAd/jhtlwvJvTKKwgccwwCixbF\nizLaTRr92XRNnIhInpJ4ZedOuKdMycu19e5ZcuKJ8X+XnHRSzoNJVojh4YynsbgmTCjaEW79t91m\nan+5XF+f9VYeu5k5jUaPq7Y269oiueofjibketSenrSZ+NJ8zMRLUs7boyiKSTxRgdi5Fyhw4okI\n57C8NFu5zsRn/RqYeJ7a1wepvDxa+MugiJwUCEQTQb0kPhIxPm4lNhOv80dJjIwYV7Afnb0GdM6x\nD4Ugeb3Gy+ljs8lG7UYTUDNEbCa+pMR46b2FPfFW+jD6hOhKFKuz/CaTbHV0RYTZ68cHhAowqxcr\nfihXV1va0iKCweiWjyzEB9+yLEYUWzLramzM7vfG6HvB1dyM/vXrLT8/fh1VhauhAUN//WvW1wD2\nfD8iGMx9j35vL+S6OrgaG20bkB343e/gnjYtWgzU5IkMZgRfegme/feP7lvPpTp3JgmvpWvSpLwV\nXFN7eiAlDvQarcaygbJzZ9JZ6K66Oog8DWRrSjzmNvVLTU2IZFMnwwa+Qw+Nr77Q46qrgzpGkvhc\nSRUVWZ0QYoc+g+PlgNFtjykz8eV+YGDE3oRbCgRMnUZDxpjEE+VbHvbdBY4/Hsru3bZfN1WsoFlM\ntjNy8ZlmK/dW1T0zhyY+MMeq00s+n24CFjtiznBWWQjDgmsiHIbk8USTpAzLu+MJusH3IElSNBnM\n8KFSBIPRAQOvV3+f/uj+eqOZ+MSBAyPx5NZEMhwrHGhqJcDowIRVUkmJpaOaTM+UKwokt9t0ezE4\naOq4QjvEEmq5qsrSMny1uzvrxCv+s5Tl7zClpQVyY2PWVZljxa/kkhIEli7Nqg8iHI5uL/H74T3o\noKyuEReJQPJ4IFdXQ+T4YVzt6oJcXW3pdAgjrvp6SF4vXBMmZF3/QItcWQlXbAbb5lk0pbs7qfik\nXF2dt3OkxchI0s9yPrd3xUR274Yr8ZSaAhLhsO5AtGviRChFOmYusm2bqd8rZgvbOoEkSaY+y+TD\n4AhQHjB4vUf//iUq8QFDNufbcnk5j5mzCZN4Ihv5Mixbs5urqakgZ7yqXV1JS96ynZET/f2WjvoC\nYD3BiyVgRjPsicvpUxJBq/GLLafXTVhHZ49N0UnQRSgEeL2GHwTU0WXXpmbsY0sDjeoIjB7LZ2rp\n/ehyelNF8GJH9FmkdW292JlOlEY/VJqeiR+tZl8I8aX+Ho+lPYXZDKAl3tPsqQma9x4tlGSm8J9W\n/JS2NsijRTWz7kPCIEbOAy6xbUUNDTnvbRXDw5Bj/bFhNlioKrxf+hIAwD1pku3L3mMJl1xbmzYz\nmsvfPbWtDe6EmWpJkjDyzDNZXy8TEQqlzTJKkoSRf/7T9nslUru60k9NEaIg58Urra3xorRa5Joa\nqL29BfvcEiNUtaBbCuwQq0kzFpmJ31BQoCSLMMuyBNXmcYd8bqscb5jEE9nIm+U56lZJLlfaiGk+\nqN3dkGtq9tw3yxm52F5mS89JnCl2uYyXPcYSMIMZdjE8vCfJTUm8k+Jn5nuNLad3u41nC8zMOni9\nmWf0Ewc1jPbOe722zsTrHe2W8boG2xriba38XIwONmgt1dd87yX+TJhJ4mPXN1lPIKsVJpFI0odB\ns7OaSYMuVu43+vMOwPLyYTUlibc8Azu6msXMTLxW/JQMZ1xboXZ17fkdJkmGVfIzSVyVJNfW5rTH\nP9aXOLfbnuX5o4MVroYG246yUoeGMPzYY/F/u2pr0wZkcvm7pzVQ45s3L+vrZZL6twwA/Mcck//C\nbhoDuO4ZM7I77tEiZdcu3VUAsb/nhfrcEqN2dqJ05cqC3jNXant72n7xscJM/IJhwJfdrirbyRUV\nOa9koigm8UT5lqdjbJSODtsLh6XSOnKkUBITPDMV1GMMk9dYgTizS6wNCtvFl9PrHCFnlt5+ftMD\nIaFQfDm73myPCIdNJ9CqlVn72J54M+e+2zgTr30Da0l50vXNFLaLnYhgQWJxJMnvN703MGnAwMLv\nlMQZX7m0FMLCXunEwRvJ57O+jzE2iOLzZXXWs9revmcmMcv9y8rosnUguiw822WcSuJRmzYflZnt\nCqdEaltbfMDDzv4pn32GsvPOi/9bqqiwdSls4usaI1dV2bbFIEZrW4nc0JC3pfuAdqEwYHSfd56X\n8QPRzwh6M/EACnLMXirF4hYDKRDI27GDZikdHRmr/Fth9Hc5XwTGzhntUllZ0WoD7G2YxBM5lKu+\nHuEPPsjrPdSeHlMV3/MhMcEzlbQlztLqJWyxiuVeb86JtwiHo0vcPZ7M58BbmWHzeDInOya3F8Rm\n7A0HFkb385sSW3FggpXZ9fgJAGYlLnc32puf8LpbrR5vdpAgtk/disTZbdnChxkrqyGSnpdwxKFU\nWmqp4Fni92e1DkGaLD5AKu3t8SOd5PLyrGZvEmficymSpbS1xT/Eu2pqbJvpBpB1zYBEiTPaktdr\n2z5ipbMT7smT4/921dXZWmFb1VhtIVdXG26/sCqyc2daEi/Jcl6T2Mi2bXBPnZr2uFRWhqGHHsrb\nfWPUzk7IdXW6bSSPp+BLm5XWVktJvKuhoejF7VK3FmZLzvK4zmJyy0BEsW9NvVxWVtjijnsxJvFE\nDuVfuND2Dzqp1N5e+5N4kzNqiQmelXO7Tc+66iXMSRc0WLru8egvHY8930QyL3m9gN5MvMkkHiaX\n3cePxzP4ICsiEdNtYWHrhAgGgVhbC0ud5ZIS45+H0VUSgIWficSZYzOF7RISZLMSl8Vb2RuYNBNv\nYWAodr48YH3GN3YqAaC9hSHfxPBwfNWCXFGR1axp4jLqXI6rUjs791ynpsbSCQGpUk8MMFMzwIjR\n/udspf4NcE2ahMj27bZdX2uFkdXijWYon30Gz3772XpNI5HPP9dM4j1z5uyph5BHZgbhXZMmFfS4\nWkB79YUeV309lLa2PPbImJqwoicXuawGyoXRUJU6WpBWS6lfwoCNiz7lIlbp39swiSfKtzyN9Lua\nmvJeoV7t7U0+kscGZmZRgeQ926ZmRi0mYJKZfexGIpHorLfLlTH5tkLSGVgQweCe5FyH2SPFRMrs\nut6eXJGQEBsup7cya5+42kKnwn8q0+fVW92OEVvNYTaJDwb3JPFmB6dGj4oDrA1OZTNgELtf0vvI\nShKf+h608lxVtfV3n1Renl0Sn5CEuurrs55FFgMDe+KW4/aZ1KXdYzqJT1kSLpeW5r1auFxdnfPK\nhBRCtJsAACAASURBVFRqf79mQisFAnlb3pxpT7oky1nVt7DMRFFVV11dwWeGM20zyEQeA0m8klhb\nIwdyZSVEHrdwaFFUYfirWC8mpX7Yela8VFbGwnY2YRJPZKNQFvs+syXX1+deXMmAVvEzye3Oan9r\njGwyGUhKIMwkO7Hk0uAIthjJ50v7IG41fvGEVW85ffyGJhIag+r0ppJjszPhicm2ztF2AKKvk8lC\nirGK/abaptY9MHr9dfa4p8YudSWH0X7upOX3Js99T/sZNVMMb/T0AMD8gFb0iar5Uw4S+5hQ2E4u\nLTU9aBATr0puZvVD4n0tFE4EjN972c7EQ1Hir5tcWZl1sqx2d0NKqW6eLSWlyJodSTxUNfn3g01n\noKvd3WlV3VMH8uz+u5ePJD7T719XfX3eisyJoaGCzLjnQq6txXCBZ+KhKNHfsSa5GhqgFjmJFwMD\nWZ/ykSgfM/FG77+BYePj5cToEb1aSv1A/7B9y+ml0tKCr+raWzGJJ7JRUCtRyNNMvNlEI+f7pPRf\nKiuztK829WgWs0t6E5MAuaTEONmJzcS73eZmxTUGI5LiF/ugKkTGWer4EXNmZuZMLBfXK2wHk0Xg\nrCy7j7WTjAY+JGnPz4HR0nuTVfQBRL+nWFuvV/9owITq4NDY85v63rOcYFupERC7R8ISRLMz1UlL\n1C3MxCexkKCpiXvizRYE1GD1uanV9CWPRze+mr87E8hVVdlVEk/4GczlaCN1cNC2Ip+pS3Plmhrb\nk1a7lqSPPPaY4e8do9hlkqmmhB01AsxyNTbmrcjc8ObNGb9mtT6FVWZPO3DV12OkyPvNjUjl5WNi\n+bUdheHykcQbvf8GRqKJuB61ry/jIEVFQLJ3Jt7gmFwyj0k8kYMpra1ZH5mULam01FJRktQZOcnk\njF7Sfmkr1el9PuNZcYwuic20/1yIPYMCOu3iMwomlubrXifWRu+IOZPL1GPF9gzbJcyY693XMgvn\n6SbNlhvEOKmtQcIPpCTxJpbHi1Boz88bYGrwzXLxRYwuy07cZ55FUm1lBj9pT7zVfe2JqxOsLqdP\nqMIPjCYtOcy+yFVVUHJM7CSjFSc6hv/+9+QP8bKc9e/etOX0dnywT/mdJ9tUfM+/eHHO18hE7ezU\nLBaWy4oJLSIS0TzqDcjPAErsnoFlyzJ+3dXYmNftcImDhXokB+xPHitV1e1g98+2GUMjwjCJ1ztp\npcQHDAeZdI9FTOKJnEySbC0yZIZcXm7tmKqEPbnAaJVrMzOWFhK8JCaX++tWcFaUPR/69GapExN9\ng+r0RjORRvcS4bC5Zepml10nFn4zOtM9ZdRcd5YncdbeaP986r51nbglLb03sQpFjIzEk3IzM/FZ\nHXc3etIBMLpNxOzZ8glHzGVzTKTk85lP/hP6mMtRTVar06spSYRk9Xi7lD31cmVl/s/01uE74oik\nf8tlZVmfdZx6ZrkkyznNTCUOOsa4amvzNsNsZhDNDHVgAJJG4iD5fLbuu1e7uzOuopCrqvLyOqkd\nHXDpVIZ3NTVBaWmx/b5J9zdRTT3Xnz2rROLqq3FI8vtz2o6YjYEgUOrTHwhRdZbT+7zAcGG7TCYx\niSdysNLTT0fko48Kek+ppMTSktTECtOx51veE280S5uQdJuZ8QagW1E+cdbb1F5tM0XyTBz7pJtM\nm90Tb1LSOfFWPpS7XJaKeukWzEuZXddbDWB1j7XVQSDTNQcSJS7VNvtzPTwcX7ZodZ95/F5W9tIn\nPs/MthS9e+awnF4uK8v6jHpgNHHM8UjIXKTOUuWyj13t68v4gTkbiT9TMXJNDZQcZ+IzFSe0ZQ8/\n9Gf/7KR2d2dMaPOy/x6jhdB0kmhXfX1ez4pXOjoMj5crhqwLxLndBX//v/SBilsejkAZsva3Z6wZ\nNDETr1fEWJYkcB5+bGIST+RgrkmToHz+eV6uLVRVcwmi5Zn4hOW8gPnEJWnm1Wi/dOr+bhNJvOR2\nZ04aw+Ho12FQNT02y+52Z05sE6rm57yc3sxMvMmlh4kz+4avWWKyauEMat3XBSkz8Qb78tPOlDfa\nm5+Y9JvpczYz8QlML6dP3EdvciY+dSBEtpJQJzxXtnDEXOrsruXj6YaHk5Pw0lJLg39qf3/OheRS\n63FkfR2NgSirtUGSJKyOsIPWUaCyDTPxoq9PM8m2K4nXm/2zs5aM2tmZMaG28vvM0j0NjiSza7tD\nxvt3duquBEhldg99rtT29qwGF1y1tVmfLJGN9l6BZ99WEQoDNz6sQlTnfkZ8sQwHgYDBnzbVYEBt\n79nQsHdhEk9kI59GEpDP/Vyu6uqc94lmIoaGNI+0kkpLLe2hE0NDyQWuAgFTgwCpM/G6e7YTkm7d\nM9sTaM3sxeKXul/ccJY6Q3X6xJksM8vp9T5Qpu51z/ihK/Fxo1nwhOX0Zo/IM2ybeE+DZbFJdQ+M\nBmoMkuzU917Sz4+Z/e05rnSQ/H5zy82FiPfHdGG7lL5lXaDOwraU1CPtLA0cQGMm3mA5fVr8Eo50\ny1am32GWExaNJcByeXnWy+ntXr4senvTlovbsc9e1bguMDp7nZDEa/3dM3X9vj7dgRq7Ekuls9OW\n48GsUHt6dJP4fBdrU9rbdVcCJPLn8rNskdLWBldjo+XnuRob87r9INVTbyo4faELl54cXQHQUrpP\nwe5tlZn3n2z0N1BR9nyGKgC7tuSMd0ziiWzkLcJer3wNEqQuZ42Ry8utF7ZL+CBtaU+8yXO+ExNc\n3Rn2RBpnssfjN3r+++iDmRNRo4r4kcie/cgZZpqTPqjqnBOfuIddd0l74s+D3s9GYqE8oz+oiX20\ncMSg0dnvifsjDbctGBydl/reS1zJYYYYGTFVEDD5SQmF3yzOVAMwnVSrQ0NJy6WzXk5voSpwahJu\nZQAAGO1zamE7nd8bqfFT+/tzPtJJDA2l/Q4zc9xgKnVwMG3vdi6V7jXflzkcCaf29qbNaOdSxC/p\nuhpLbFOrx2f7d0/t7c04+2e1gKrufbq69PeH5+FvaGrxwvRb5nduU+3pMT1w4W9szHnrhVlKaytc\nDQ2Wn+dqbs5rIcBU1WUSJtVFY3Rmw3vo8Frvc0Yul61bA4zef6Z+4xv8Xegftne1hlRWNuYLKjoB\nk3gip7N4LJZZ6uCg9vE/FqvZqhqF7UzN6CUW5DJKIBKXmpvcOyu5XBn/cInEom8mzp2XMs3ERyJ7\n4pNpMCAx0ddJeoWixM9qN70EVJIyJgZJAx9Wlshb2Jts+NoJkTzIYTBQkzQbaqZonpU99AaDBEak\nQMDyzILZD/JqV1dyXQkrBfGyTBbE4GDSTLjVpCNtBY7FM+ozDSJakTqQEOuH1eQ78USBmFwK22mR\nS0osbVNKlCnZzpXa16dZeM62PfGDgxkHauTKSqh9fTnfAxjd72uwNcPu5eT5iolpFs5iL+RS9dSi\njmbJNTVQ8lhDIFFEEfj3tj0/D5Xdn6HbZV8sC12h3tRvboPf7519AiM27jqRKypsG6Qbz5jEEzmd\nJOWl4IvWB1cA0Rk5C7OAYng4+cN8NhW5jfZLJybdNsxwJO0X11vKH/vgl6mwXSSyZ299hv3uSVXn\nMwwGxO4lGc38p9A9Ri+ljoDu9RL3RhvMrifRW1mQeguDLRMiFIoPYphheSY+mz3xuc7Em73N4GDS\nrF4u572blWkQz6zUI+asJqlpKwGy7EPqcnqjZf1atF6LbJdDJ25jSbpeDnvs1Z4e286wT5Sp8Jxd\nSTyQ+fe1XFFh33naQuie2GF6YNkKs6eEjAFyXV3h9ptnWQ8idQtHPvUOAl85YE/sRH8f3CX2Fbaz\n8/1jxK7BqYOmyxixsUK9XFZm2yDdeOaM3zCjbr31VkybNg2BQADz58/Hs88+q9v+rbfewlFHHYWS\nkhJMmjQJP/vZz9LaPP3005g3bx4CgQBmzJiB22+/Pa3Nxo0bMWfOHPj9fsydOxebNm2y1LdIJILV\nq1fji1/8IsrKyjBhwgScddZZ2LFjRxavAlGyfB1VI1KW8MZYnpFLXU5v9kibxMTR4Dlpx6/l+ocr\nsTq9yZl4rSRYRCLJs+da14lE9gxAmF0mb3Lfv267hJkaM9+j6XunFsGzkMSbXm2Rch8tVmfi06r/\nW1zebHXPuBWpqwTM7qUXQmT9Xsh1Jjyp3gGsDzykHlEHwHJMUlcDANkly1rXkcvKskoy1f5+7dnt\nXI6sy7S3PIez7AHtZfoAbD8CTotcWQlRoA/5+TpmzojZrWX5JtfVQSlg0bhsSG53zttDzHrlIxXl\nCWN/YnAQXSMe7Oy0JyHO14kIWkIRwGsw9m0m0ffbfMxcTtuRKM4xSfwDDzyAiy++GFdccQW2bt2K\nI444Ascff3zGRLivrw+LFy9Gc3MzXnnlFdx00024/vrrccMNN8TbfPrpp1i2bBkWLFiArVu3Ys2a\nNbjwwgvx4IMPxtu88MILOOOMM/DNb34Tb7zxBs466yysWLECL730kum+DQ4O4vXXX8cVV1yB119/\nHX/961+xY8cOLF26FEqBfilREeV571u+9oqpNsyEARmOBjOTWFhJPhL3sOtdMvH8d712odCeIi96\ny7xjsc10/E1iwb0M1xHhcHKib3DePAD9c+kTu6c3s5/Iyoy5xaX3povgGa22SF1ObyCXI+kAE3v0\nU5ndM57F7wPNhNjMapYczmTWSlytShrws1gFXGsQQQoEcqqQD4zOulpN4lO2FgCj78EsBki0rgXk\nNhOfWoQwJtcl/7r7uvP82cWOwnxxBu85ubq6KEl8virUZ1rtkbEflZUFSyqdoH8ImNGc/DNz3Bdd\n2Naa/YBYokLOxA+OACUGZ8QLE6uuAj5gJGTflpOcCoNSnGOS+BtuuAHnnHMOzjvvPMyaNQs333wz\nmpubsX79es32GzZswMjICO655x7MmTMHp556KlavXp2UxN92222YNGkSbrrpJsyaNQvnn38+vv3t\nb+MXv/hFvM2NN96IY489FmvWrMGsWbNw+eWX4+ijj8aNN95oum+VlZV4/PHHsWLFCuy777445JBD\ncPvtt+Pdd9/Fe++9l6dXjIohZOVDv03ylcRn+rBp+TpWZ0SzvIeppdYGx7TF4pe4l91M0popqU6a\niddbch/rk5nz5kfvZybBNLv03coSecOl/CmDDWb3iRseMZdwYoCWtPeeqlqqtptanV7yenULoKXO\nXpiqgJ/lzLhIScZNz8SPjGSdiCcehZfdBay9Pqnx05z9zqZCfupyeovn1QP2DWgCgDowoLnCKdcP\ntVqvb67JgohEMm8xSVgSnc3fPaPBRbuSeDMrEVw1NbYmVWaPNnTZcAygFrWvz9L2inAkYvuJCVpy\nPvIxzxMiQPR3dFkAcLuS79VQJWHAei1RTXZvDdB7/w0FYXxGfF+fYf2GgFeydyY+i9oklM4RSXwo\nFMJrr72GJUuWJD2+ZMkSPP/885rPeeGFF7Bw4cKkoxeWLFmCXbt2Yfv27fE2Wtd85ZVX4jPk//rX\nv3Tvm03fAKB39I9TtU71UnKeoNaH/jz/4XE3NyOSh7Pi1YEB+2bi7ajar/M6isREWK8viRXegbQP\nLvH4JS6n93iMq1mbSNAlj0dz9ipxJh56FaXtXk6feGkry2OtLL23MmtvdTl9pthlKW222+j7NPkz\nl0RrEMnMh+eU/fpmj7NTM8zQmlk+qVUULmc6902Nn9bKi6yW5NtV2E7nDGXL19KaiS8vt32PqFxV\nZd9sto5s3ntqf79uoilVVNjyepiZZbR7Jl7t7jaVRMs1NXmpCm/2/jHBYNDUCrVc5VzsT6dQq10G\nRoCKlF97sb9hdn2Us3smXu/9NxQUKDEo9SL6+gx/v/k9sH1PfLaFPGmPwh0KmIOOjg4oioLGlLMl\nGxoa0JJhL3BLSwsmT56c9Fjs+S0tLZgyZQpaW1vTrtnY2IhIJIKOjg40NjaipaVFs03svtn0LRQK\n4b/+679w0kknYcKECWlfv/zyy+P/f8GCBfHBCK1jJEKhkOYbmO2L035g9MNhIfsj+f3xWWA7r6+1\nJz7WfkBVISXMGuldfyAchpTywTuU4cN8Yn8S7+Hz+TQTgFj70Gi78Oj/Zrp+cGgIA7Icn/GK3SO1\n/yIUglRWhlAohEFFQXhwEBGd71dyu4FIJO31jPT3I6yqcIdCmvvdQ6EQBnt7EZakeJGsAVWFPxTS\njdeIqsLd3w93wuuj1T4sywj19cXbJfY/yWiyr/XzIBQFiX+7E1cdaLVP7H/qcvq094sQ8dffo1H4\nL7H90OAgfOEwXKPt/z97bx5sS1aXC34rxz2ec+65Q92aC8oSQSRCsboAfQTtw26E8D1tAgxEUQgV\nCAeGKI0QDf1HISCMfoQa4hNpyjZwCjWeBFHGoyxFaNqnNA5PhgIKCmq68z3DPnvvHNfqPzJzn8yV\na8rceU7VrZtfhCF1bu7MtXPa61vf9/t+QEZGywqk8v7RbD9fLBCX9y8ofyhvT+dzLBwHENw/su9L\nDw6wdF34muvLI10s4JZJfL4gpHveGdcZIooizC0LuHq1QpBF42dBgNi2sSzdOweUAvv7GAwG2vHz\n51+7fYlY+74vnDHHvo/w6lU4XLq1bP/hwQFiAHbpO6TIAttEyxOy8xnt72MoIIIRY5gJ1HPV993f\n2YG9vb16ZxXb2wLSuu77PB4MQC9cwEbD+83oejEG7O2BWJZUCVTt3xIQh/L2jDEczOeNni/R+MvE\nUba9Ox4L7eRtz0/yxBNISqUMsu2TjQ3MPve5ym+Lyf5146E7OyCbm83GT+mRz5eCixexGI9rjhPT\n/S/GY9Bz5zA6c+bI5ldfv0ixMfABZI4BFgSrgE6WRri6E8N1qu+mVvMrQTlU2/EfcIuS5e3nIbA1\nJsr9Y2cHniD7orx9GjPs7lLMZnYn9wOZTBDMZkL30dNlPn8U2//N3/yNNs+tCa4JEt8GR92Dsy2S\nJMGP/MiPYH9/Hx/72MeE27z73e823p/neY16tPbbH/32U8WK5pGNJ7/fu9x/IKgpLrZnlqX8nuXt\nJ4JtmeT5LI+H2XblcyInW7F9YFkg4zH8fHvp/gnBdDDAuNiOO8ZqfHEMy3HgeR6srS2EwOozq23S\n9JBo5LXn/PmMXRfJeAzP85C4bk1F8DwPxHWRDIcYFmOyLOk1KfbvjMewbRue5hr4gwEcx4Er2K58\nPgvbu+h+YEGAg/LfXHfVGobfnqUpWH7egEzNLiuBte1L9wZjrGaxLW9PAAy3tmDn24dFmGBpf5X7\nh7vvwsIeX7qnK+NJU4xPnFgRi0SgxJe3T+MY9miESfnccotH/PdNgwD2cFg9x6V7VfY8zkW2ZkK0\nzzvfGcLzPEw3NjCyba3ywpZL+JubGHK94ie+L3XWqM6/bnug+u4MBAtx/mQCAqyecx3c5RKT06cr\n544yhoUkT0B2PveDQKjmelC/70X7HycJ3FOnas8kE9jp132fJ2fPIrp4Ufs+abN/srGBESGwplPh\nQoZu/9FsVgvjq22vuYdMxl+2Csu2Z5MJIoE7o+35CYMAOHtWe58Ob7gB6d6e8T1kOp708mW4z3kO\n3AbjJ54HJ0m0vyltxlPAOTjAxpkzGLT8vvaZM3AXi2zBt4PxiLa/8vUUd9916EpIr16Fdfo0AODm\n0z5msY/bT5i5FpTzq4bb6/Yvu4cWAcNooJ4fLudzEIGgWN5+TBnooxTTqbwcosn4iePAo7Tx+/Pp\nPv/Xbf/KV74Sr3zlK1d/e8973mP8eRGuCTv9qVOnYNs2Lly4UPn7hQsXcOONNwo/c/bs2ZoSXnz+\n7Nmzym0cx8GpU6eU2xT7aDK2JEnwute9Dp/73Ofw4IMP9lb6Ht2Bsc773IJTLSsgZK3U41ZQ2enL\nAXIK1OqqZeesRJqk/cvLlnvJ2FgcH9YASmrJy3XzpmgUWGdip/c8eSs6LvlfWY/PW6CbBObpFl75\nUgivWVCa1q4vsKwr+9aLQuPaJObbtvZatu1hL6prJ8OhkRVfNNa1W3GtubjeONguiiqLPEBup2+a\nCC5rUWbbje29fOu91bgGg2ZBiquhyd/7a9edKvZtbW2tFYYma1/XNZiBhZsQ0mlNOL16VR4IWD5u\ny2tudPyGvditM2eOPNxv3VaI9g03IL10qcMR1RHFwHhw+J6iV6+uxnzTNsGF42vv3gmWETDS8Exq\nYKe3LIKjT03o0RTXBIn3PA8vfOEL8fGPf7zy9wceeAAveclLhJ958YtfjE996lMVq8MDDzyAm2++\nGbfffvtqmwceeKC2z7vvvht2PvGWbfNd3/VdjcYWxzF+6Id+CJ/73Ofwd3/3dzhz5kyTU9DjWsYx\nuELIMdcXGadjt4RpivwKpun0hgnn5Z7k0v7u5QR71biKmnhZgr3h2Gvp9KIFAe68adPhCygIMZ83\noCT8HNHW1pXzE2dVG0HuPDVqi4d8wqy4Z8thhsX+lWF/LYi1qBe9brGg+Bz4YxmQjrIVdHU8UyIs\nIK7GCwBJsl6AlQRNa+KB+uIQUeVOyCA519ZotHKlGO+qw5A8ALUWnmWQ8bjRokcZsjyFAuuGc8kC\n/roG3d01q8Pu8Hc6NSTxRwV6+XLj2vPjyE+ge3vrkfjTp4+vn32OcoeGrTGwN7+2qCxlGQFXgc1m\nwlaSPJ6e/ubrG9cEiQeAd77znbjvvvvwoQ99CF/84hfxtre9DefPn8db3vIWAMAv/uIv4uUvf/lq\n+x/+4R/GaDTCj//4j+Pzn/88/vIv/xLvfe978c53vnO1zVve8hY88cQTeMc73oEvfvGL+P3f/338\nwR/8Ae69997VNm9729vwt3/7t3jve9+Lhx56CO95z3vwiU98Am9/+9uNx5amKV7zmtfgH//xH/FH\nf/RHYIzh/PnzOH/+PIIjJEI9jh+1WuNjgn3qVPc/bopJDRkOj3TRQER2lARPk1y+QpJUiTep17at\ntiun04tIfJLUVD7hNgWZkfSAZ1HUnPDIFHY+OM1A5QU0hJhXwGWLERCr9jIi3DSpmL/GfHp87dnj\n09E1JB6oEj5dizmhEq+BUN02aE3X5liAuPVYExLPw/SzMrVZ9QybvDsbLx4e8QJqm17HlCtxWBds\nNpN2ETG552XQqaZllb/N716XYYEqGBPHLpX43d2nlMTDcbLFKkP4vp91AzjitmdtHAJlWCdPHkkQ\nYIEkZXC401a+lpZF0JkB0bI6C+lbd95puqB2bS1fXB+4ZmriX/va1+LKlSv4tV/7NZw7dw7f9m3f\nhvvvvx+33norgCys7mtf+9pq+42NDTzwwAP46Z/+aXznd34ntre3ce+99+Id73jHaps77rgD999/\nP97xjnfgAx/4AG6++Wb81m/9Fn7wB39wtc2LX/xi/Mmf/Al++Zd/Gb/yK7+Cb/qmb8Kf/dmf4e67\n7zYe22OPPYaPfvSjIITghS98YeV73XfffXjDG95wJOesx/FDWB9zDEq8deoU0kuX4NxxR3c7VVkp\nR6PWCk+2g+wHTDbRaGxV1rSOW+1XQ/ZX9bzl/clUaq4lmRBcOr2REm9wv5BSXXoZvDWfeJ5ZP3mF\nOlkj5rLyAqBmp1em3htes8OBsMr9wo+j9uzxCqxpH/fDHSpVVhYEjRaaAIkSbzIu7rubgg+2Mz4e\nILwPieFzL+0xny8qiRwsJrWFjd87R9w2yxqPmy9mpmmj1oc60PlcOgEnltX6HOgSzq3pFEluv25S\nF7ra/8GBNjWe5AFg67Q6NFbi89KINs9ZDU2uMSG1wM3jhud5iLe2EH/5y0d6HLZcwlK4O3Qg43Fj\n50sT7M6BzXH1OtCdHdilBRli1QNS26BooWivsahRQPX8GY2SUqP7nqCb796jO1wzJB4A3vrWt+Kt\nb32r8N8+/OEP1/72/Oc/H3//93+v3OdLX/pSfPazn1Vu8+pXvxqvfvWrW4/tjjvuAD3u+uEe1xXs\n06eRPPzwsR2PjMdr1cYWREKqSEkIMqNUWJtqapM3tt2X7fSSeslauzrRfuL4kLTJlPjyNoB80m3Q\nYo7xxNhxzJU4yXH5c1tOp69tG4bV4ytq4k3Onwo6pby2vU6V5JV7zwPV9a0X3aOqSY6ExGtbGIpg\n0pdeoPoaq7OC+8EyVMKppK1X0eedtFRgyWCwXk1+x1jHrt4V2GwGS0OGW+9XYbEl4/Gqo0ar/R8c\naMdtbWxkRGcNEm+aJ2HlafJkDbv3Cg1ITlEi0nk7x4Y4DiV+XRBCjlQU2Z0zbHG3JN3frwQwjjyz\n3us6FJkSXZD444LnAFEC+O1/tqvIs5WEeSM9jNCfuR49jhrHsGppnz7daeCLLiSvkU1TZMvVqIFM\nQOKV1uxyr3XVUEzVX15JEVxDXqGW7idf4SaCdPrVmJoG26n60peVeNl2wp1K7lN+fIqwPMalxWuv\nGX/+mjwrDULzADQPwlM5DiBR1TV19EI7vUFNfFtQUbDdGhZr05p0mRJv/HlJJkabmvh1oXq3kNEI\n9CnudSxqBdoFdBZbazpdSxXlMy5EINPpWgsFTXCcxyrDOnFirYBAIVqIRtbGBhjX4rBLdBa8e4Tu\nmj2BEg+OZG5NCHY6MAOsmylhAkqZ2U+q4Tkd+gTLDnMYTZ1dPeToSXyPHs8AkNya1RnCUBlq1IgI\niGy5OrIjSpVW1W3zSrwkPb+ssAOQ1qXxZNTomAJUwtJsWxwIl6aN651lNvlaOJtENWeMGf9wC+vc\nVcF2vJ1edc0a2unLIL5vFtpXbK8L+RPY77WEnFf4NGF7Igt+YRlWQnStCNHWVLIgqCvx69rpDUgr\nWy6FKqsxiZeFtTVciOliAVVlAV47rZ+HYYZFGSa29DZg87m01h7IwlTXSr43gLWxcWzE2trYAO2A\nxDJKG913Vse/3bRlcKKy9GlNfPyfU/yf/y3BV6xbO9lf5514coiUeB7bE4KrB+sf39raOnISH8TA\nwOQn1vB+HXjolMRbk8mRlkdcD+hJfI8eR43jSKfvukXOfK4n8SaTccmERkdcREq8MkGdJ5qSd++1\ngwAAIABJREFUdm61mm0ZITVQx43S6cv7cRzxggG/sCC7X8rXV6aw82OSqeaUmofKCc5ZoxZzimu2\nlp1edT8I7jvluAGhnV45qZXVtzck/k3LAlafM7G2C2od11XijdLpJe8PU9IrquUH0KgWkyWJvMNF\nA4eKtL4feU18h0pSm6wRE1t6G9JDDw6UZJDYdivFtwms6RTsuEj85mYnx2L7+0ZJ36vjdkzm6P7+\nUxuqJ8AjFxi++UyKv/VfhGW03jyFjEZH1hknSQDH5t4x3DtncwzsL64NEr8MM/VchSadgIZe1ne+\nK5DJ5ClxvzyT0JP4Hj06RHQEPV+N0eFiAVsslBND45RoSW27lriI7PQyYg4BIZQQMN4ayxO74vrV\nereLJsGUai38LE0Pg+1M7eqi/fAEU9Zijg+2Uy1mGBLo2rlV9KivnV9FsJZxRwEZHEd47QCIz2nD\nlnRaVV1Qa6stE5Gl0+ueJdFC2GDQikAaHU/2WUMlnS4WQnWYDAbSRYDy9WNBsFYAFqBIyMdhbb4J\n6HIpVbq7toOSyaSxPV8VbAe0z1xoYtM/qt89Mp12oo6boCslPm2YwN51LTrb22u0iACUrl9DF4gp\nzp4g+L5bL+Ksv8SFnfVIYFFLfhQwmUKN/Kwmfl10WUYhe/4WYUa8VVB1t+AxHpBOvnsBq0V3jx5V\n9CS+R48OER5RbasROmxZImpNVYZqMl7ZjyxZWKdYiki8ilRxfamJKvhNoRSXr18lbEVSE68lwga1\n+ixNq2RWRHr5RG+ZSsz1dJcR7toihWp8fGs3hQIndFDIVEBRTWwDxZBfyChfO1HQoaoMQLr/pqq6\nQU18rd+7pvZeOj7DVHvR53SkjqWp3E5/RDXxleunef+YQBUW1sQGL3MFFPuhDUi8NmvEsFyhss+D\nA7XtvdQKrtF+BXkKMhzV7966xFrYQUJ2rI5s7bRhj/gjUeIbkvjV9euwa0KB8zsMXz3HQHd28L/e\ndBn/8NB67g1re/tIesVHSb29nLD8iRB00Wuty3wP2fO3jBhGmtufGvaIB7IFgaBLO/3mJliXZaDX\nIXoS36PHMwTW1hZo3vJnXagspEDD2lbBJEobGiZSaRXWbKCqdEsJGEe8pcTOhEwaEGFZO60KTFLu\n+Vp3iR3YtKygkZXdMNEfgDgnQCJv1MoI8m1FWQai/ahqOEWhecpFINH+NXZ6FkU1Qq47BguC+uJC\n09Z35c+1seEbBOkJ6/2Lzxqo+GyxECrpa9fEN4DMDQA0I9+qd2HjtHzJeS1gTSbNSbykS8I6+yxw\nVK2kTOvG17XT09nMuBMCyZPw1wXd2WmsxHdJZOjOTms7PfG8zq3qX3mC4if/dxv06lWcOj1Yu+rP\nPnnySJT4nQPgxIRrL7e3Z9aesAWOo03bPARGA/Vx6P6+8TMy8IBgzXKIMrrOg7ge0ZP4Hj2OGsfU\nU9O+4YbOEuq1NfHDoRHxENmHAX1omNBOr+p5zp9jmRLPk+GmQVncvrQ2eBMlnlfPReDs4dLFB35M\nqt70TZT4lqq9clvB4oBOya7AdeX3oGhhRLMIJNy/isSHoZiQN8x6WIvEt1FAFeUQBaTPrWUZ1UHL\nlHRjEt9ABZbuQ/EOa6KCseVSastvWhdONa3E2qbdqwhBWyX+KGHaUm3dzg1NVMaulFF69WqjtmFd\nE2e6swOrZZu8rhPTGWO4PAOmIwK6twdnaxNnTxBESXsiaJ08ifQIlPjZkmGDuyVlBNe2gSQ9upT8\nrrAIGMYaJV7XSrIM3wXCDisuulo4u56hnZn9xV/8ReMVo1e84hUYPcU9L3v0uN5gnz4N2hGJZ8ul\ncjWf+L65oiYiA56nnCwIe/s6jvGETkr4eXLH1VU3AYtjfTgc36pOth9dOztu8UFqk+edBjLFnt+f\nZnzG9fOSDAQhBES7KIMwIXDKlHyJnV52/zDG6kq8hrC2SacXuTfa1qhrF8IAsSXeJARTQuJNIVOH\nLVM7fhCsHc6lJN/DoXEtO1ssQM6eXWssq33pFkfH485VRms6ba3Ea6FyzijQpA53nUVwXalB9TDd\nLLa3ItEd2tjXUeKt7W2kV67A7uh+ny2BG09k55XOZrA2N3EiIbgyA25s+Xhb29udOQ7LmC2Am09x\nSvzurvBabo4IdufAqWZVC8eOZaSviaezGexbbjHan0VIpx3+rGPocPFMh/bN8ZrXvKbRDgkh+MpX\nvoJnP/vZrQfVo8czCcdhmwIA68wZxF/+cif7YvO5OtjOUIGSkniDmnhhizmZgsgHv0nIeY3kqtR9\nHUqhdTIY9ZIXkGTGWPW+4ZV42fnng+1kRNckWb987CZ2+iaLAzzJMlCJC6is6yJHgPJaNzkfBQQL\nNFp1nJDa+0Dbyk5Wn95Wic/HoYLMTt/sEJIwPtOa+htvlP87/3xI9iEjM2Q0Mm5tRDWlRU1Ipi4w\n1BqNkHRMuMlo1JlDS7TvNsF+uh70FazBGuhsZn6cjsDieO1npy3CmOGR9DRe0LBlaQH71CnQK1c6\nG8/VGcNmfrsXqvbNIPj6RbYi901huhDYFLMlw8awTuJFBHc6BOYBw6mNNed2eY4R30GkKzAGWJbG\nTj+bwTW003cN4rpARzlO1yuM7PTnzp0DpdTo/3oFvsf1DP8p+vEGslqxTu30HTzL0mA7g5r4tYLJ\nFMF2UCjxja6fSTicieWe349l1X7YTIPoatb8LoLtmqj2TZR4AeHXhclVwC3qVK6dqI5f16Kw5cS3\njEblAMVndIn2IlcK0DoQzwRKEm9CWiXbqCzL5eunqok3vUdUJUFN0um7CNlb7UuXNdIinV4HskZN\nvA7WeAw2nzf+3WMHB7COgTg0bfd2reNPP5Xiv7svbtwCrbh+1vZ2pyT+3NVDJb5od3lqE9hdt8/6\nEQgjQZzZxcugOzuwBQuB4wHBvIMKiK46Iqwz72ziVunx9IOWxP/Yj/0YhsMh7rrrLtx777343d/9\nXeX2r3/96zF9ilZ1evR4quF1QATaYi1VmQNThEI12o8sIEtH4gUBYFD1+RaEkpm0VuNr4ptcP1FN\nPJ8+bUSWGausxBPXrV9Hwxr2Wos3mWJv4CJY7TMMG6nrjWz6omtsuFDDk7nytRONWancN3EbrD4k\nSH5vU8Pboh89YED+11Awm6R6Sw4u/rviu5avH1UQ50Z19V3Z6VULmg3Os25xtOu+86t9NrSsMkqN\nekcXJKTp7x7d3z8WEt+kJr4ztHnubLt1NkuBOGE4s0nwn6NP4Pf/ezN1s7h+XdfEz4JSnXl+Xqxj\ncia2Ae/ukZVGjAfAQRckvqPOBOvMO+nBgXGwXY+nH7Szwg9/+MMAgBe/+MX4jd/4De0OdSS/R48e\nT390pT6xIABOn6793SjYjk/+dl3QBgTPKNiuYduxyr5EhDlNq6Q9Vx+aoKhjLzsYjJVzk5A8SMLq\nJJPPKGYYmSbZGyTtq8YgCxoU1qwrFnWE6fTF9RGhwULF4Q4FdnFdTbyI+Gtq1EUBekbHanAthMc8\nAleRaWmRUokfDs0T8mXp9MOheTq9zE3UArqsETTMR2BcmY0IbdR90+4ApGVNK93bg33rrY0/1/g4\nsxlIExKf1/gTgwUMEdounBW94m3Bb6UpLu1ldeZn2BXcaJ6rV0Hb6ylDxc5devYZMyuJkaJFDkMb\nsCgSPvvjQWanXxddtxdshRZ2/rWuXY9OYfymuuuuu45yHD16PHNxjb7sunhJS1OudUq8KJhMpq6L\noCB4le/VQPmtTdD4mmiRgl7fif5AIgu8YZu3h/Y3sJPoyVcaJVhYZos0H4q+B7vxGuq6DIIFB9mi\nCgsjPGFzYUuq+vmGynqjMoDVhwTXsmXbN9U7Qupm0fR7l5F/E6xNXFXvDoNnQJVOb9oeTplOPxo1\nIsvKd2GDcDdt1kjDd64JSW2Tus5mM+U4C7RtAdeol7ltZ7kQLcAWi0aL0UV5QFuw+bxVDb61tbV2\nSvdXz1PcOl7AnkxwZovgoAXJ7JKYpZRVXwOlZ2RzTLCzzlqBbRtnp5iAUgZh6bjkXeU5BHEHpdzW\n1taRtMsDANplAl0JrgNEHSbU91gPxiT+Sod1Mj169DgatE26bncw/Q9+62A7UY1yU6u16EeeD8CT\nkX1+O9uu7U+kxNf2ZfJDKgjlqx0rivRJ+AA+dXAHdiI9if/kuRP48OPPq/5RMlke0SUuLzgSL/le\n/5behnlq3o7OtGRiMY/xMfu7Kn8jliUdx6fPn8BDC3M5qkkZgAq6xak2C3qymnhtT/owbF3nv85n\nsx0o7nuTc8CVmFQ+bhqOp+if3ojYap7hRu3qdNb8hmAGtnSjbgQc6N6eEckm0yloCxLfpA53XWLd\nhJiSNWuU29b6d9Ev+yAANoKsvd3+Avh/v3A8arUMV2fAyWmeTM+1aju1AeysURffte3/IAAmmn7q\nPLpY7uj6e5QRRMBg/Z+0GoYeQbhe5UePDmFM4n/zN38Tt912G974xjfiIx/5CM6fP1/5dxOrfY8e\nPY4W1smTSI+g/UpbKIPtVIRcYGlU2adrMCT8shyBiOh7jEcJALtEWD2vRoI/Y3NEWTCh/BP3f6v2\nnBUozBcOHPzPpb7tz4QECKD/5d6yA9w4qi72yFTwKT3AfmRmt/sH69uwF5ht+2/Ls9iJBW3gBGPY\nP0gaEeC9yMHF0FyBk4bHqSCz07cJm9PY6dGmJn6NNnHKmvh1VbAWC1tlNCHNMgKnLK1oCGs0MiaZ\ntKOskdX+mqS8N9nvbGZUJ2tNJo3r7YFmz1vXFm8VrI2NVs6CArRJ6zzuuOuQ+DBmcKx88WVrC6+6\n24LbXde6Vri0x1Yt2NILF2DfcMPq37anBJfXyHOzO24zN1sCk4bVg13o3Edpp58HWQBf1xh4Weu6\nzpAn9PdoB2MS/3M/93P4L//lv2AwGOBXf/VXcdNNN+H5z38+3v72t+NjH/sYvtxRa6sePa5lRC17\njneFrtNllTCxxcqswJoe3CIo7fQiNdtEtefS6Yvr97fO3fX9ccTlQ+H34Gs71Z7s/DH/2f4WLCP1\nedojU1wpTWiIbdf28409D48sN7VfZ8SWWKR6Eh/GgOdw4xL0lE8pwxBhfeVdQo4mbFGvFZTYjf8h\nvgtXArOSif1ZioktIKyl615+9jwWI7UEs1jZPdugNZ4KbdLpdZDa4nVuFk3CvMoCrvosGQz0bp8W\njgPTdycxbTHVlTVYsx8yHhvXnHdZXw/kNfZH0BHIVFG2traQXrlypL97bYL5Wh9rTSW+bUs7a3MT\nbI3j7s2BU5tk1dfcc0gjolW5fh2Rqv0FcGKSK/E7O7BPnlz92+Y4a+nWFp0H8C1KAXw5qKKkp8A6\n4aFA9u7oIshS9PwFETA0WSdr+J4cuECgmdM0QZNF0B51GJP47e1tvPrVr8YHPvABPPzww3jkkUfw\n9re/HefOncMb3/hGfOhDHzrKcfbocU0gFCljx1gTb29vr11jlaQM/9X7P/DwOQ3JNkjUjcMY1G1h\nyxX9OCrU9T/yvq++rUAtjEk9SK1MzsMwREoZLhDOii08NkOKkuosIMEAwVIjzHqIEMSl7+s4tbEf\nRBY2fP3EakBDLBK9Eh7EdasdEZyzeQBs030Eta8u/hEfIay13pEp/DeyK9gJBY4HwYRktmCY2hEo\nlU8eKs9emlZdEhpIrdeKSdoj1k31SZzOYSKD6h3RtsODQok3+qyMxGtKdliSGCWb86hcP8X5aNIe\n7jhAmkxC1whNE6HL9ndlmCr8xPeBNBX/7nWEo2i7Jz3Wmoo429+HtalfbOVhbW6utXiwc8CwNT5U\n4gHAaZBVVr5+XdTnA8BBwDDJXz90Z6cS6GhbBIpXuRbWESjxU75H/M4OrG15SZbXQW14m1IXEUTP\nXxAxDDRTrzbv6q6VeDKddt6R43qC8dV76KGHKv99++234yd+4ifwp3/6p7h48SJ+9Ed/tPPB9ejR\noxm6+HF74grD3ekX8PCT6h8XyyAl+kPOf8K/faObSauMDAYRw4yMKoRKZr3/pP0diBL1dntzICQ+\nUlrdjlfiz9CrWJTqv0Xb2Eix0MxvByyq/CiK9sNSCsvWn0eHxkign70lKeA69bR3XkUOYmCIQGia\nqLXTYwwjusQ85FwRgtptxhim6QwzzqYvc1DsLxhu8Jb1cykje2kiJkuS7cMgwcXUvJZ1tmD4uPOi\n2iROW3/bYsJGwwixI8iVsG31/hSWZa2arloA0HxWm2xuWBMv/bhpe7iugp00++m8LRwhxgpf0+A2\nU+gC+I4TpK1lv0Wwo33ixFqL4LQliW+bLVDgyozh5DRT4kl+fN9pp5h2FbZWTqaXtWprC2vN68Rj\ntmSYco8RvXpV2Uli0lGv+KNCEAMDT/2upbNZ4wyHoUcQdEjirclkrQWs6x3Gs+sLFy7g937v9xAL\nJliEENx5552dDqxHj2cMjlGJt06eRLqmnf6JSynuxJPa7UxqU2+kl1ql5ArrjSXEfGc/BVCtsRPZ\n3wFgj0yqRFCgsM+WDJtshkX5B1qgso/oEvOIVLcpHZNShhELsAzl3z9Js23C8tcSKPGmfZtBUxAD\nss/StL4/gRIfxYAHgdwgOL8pBSZY1J0HAnU6SgCPRfW2cb4vVLLjmOKEH2FmIMAmKYNNk0ZS1KP7\nA/zl47fV/0Hy7M5DYJMdaBdoyqCU4lFLkmugIG3/9+PfjP/60LPMD5TjM+fG+O1vvED4b7pk+8xB\no1DiVSq+rsf8uhbUY1TiTcg0WTN4rbY/z1NemzJog6C8JtZfNp+b1+4f8e9bWzs93d/HudEtzY61\nJoGle3vNWtrlILa9Vtu0eZDVdJdr8k9MCHZa3JZdE2QAK5s/j9Yt+ba2kHY4xpQCjt1Mic96xR9N\nAnwXWBoE27G9vcaLTgMPnZJ4Mp0eW+bFMxHGJP7BBx/Ey1/+ctx3333Cf3/DG97Q1Zh69OjREo2s\nnRLM9iJsjjIOlCo8b7qUaEoZTrCDVkmmf+7+RxzwNXMSO/1inuAWcrkaNCMgpIwx7GNcIZkidT9K\n6gRNFIDnIkZc+hOvoIcJsIEDLBQ/eGEMjLGstKsRJutTqk2nTymDRRPAMiCvgv2JFj7CmMFjgoVb\nATEPJIRfpPAvo8yBUAOXUbBCmmLoCZQlwSQwiAA/DbJuAYaTxKuBg7MT8Y0q2sc8YNhme42UmPks\nxl97310NMTTACTLHbSeaP0TLELh9QzxAnZr+++RV+H++okiH1yjx550z8oGt0TIMyEg87aIm3oR8\nGoQDNqmJNwEZj8172Bva6XWLNjyaLA60WZT5gvWs+vtdgrbJ7VcuLfHR5B48ct6cHJPBoF0wZY4v\nHWzi/X83UZb9SLEGiWcMsAjJ2p7m2R5bE2C3RQL8UZB4Fse1hb2hi3qZliGI63YWTCkDvZol/cvQ\nmRLfoEVlE4QRw1BjRKG7u41J/NCDNuenCdqGY/bI0Mjn+uxnPxs/+ZM/Kfy322+/vZMB9ejxjMMx\nKvGd9HaPY9iTMcYDUlWj+WMNh8oJz0GQEdQ22CdjPH5F0OZNRKgWCTbtoE6oBdbwAUIsSsq4iIwm\nUYoNsqxuJ2gfZ4MiLf/2chkBUQxssEVt1bpMCjMSXx27MGtApJxziBLApRHEDW855LW5lcmmwOmw\nUsw5iM5vFAO+aFuBnT6IAB/1e0fWLQCUYuARo0lfnAJOGsH1LOOaxYPIwuawfm/J7P2LRYpT5KAe\n4qfA7l6MLbLAgeiZUliox2yB8VBy7RUEKowZNodMuBCnIyt30selu9aR+IfPMfy35bdLv49OydfB\nJNiOJYm+JaMB+aTLpZbMNrHTx9AvLDUJemIG4wNa1JVTirTZ9NAYe7shPuV+Bz7zFTPi0pZUfvUc\nw7dtXsVnvnI8amlKGf7e+nbcfIrgE/9+fO3dGGPCW/nklODyXvPvvm5JAZC9e3Tp+NMRwf7TpBRa\ntOaitdMPgYMODEHWdLpWqKEMYQJ4GiWezyowgesQJB2un5DeTr8WtG/pf/qnf0LSoJ3MZz/72ac8\nobtHj6cKftM2VU9DsCgCGY0wHUJpX9bVpu7NgSlTTBwlk1nGGE7RXeMf+DCkGNtxpdYdjlNT+8IY\n2GIzpZ3e933EUYqRnSBMuO249yBPlUVK/IgFiMvKq2VVFIQgBsZsWVFnZUq8LhArlFnfRaAUvkcq\nJFcUbJfZ6eN6Ox1BeYH0+ML2fAweE6v2MiXe9606iS8tWhXPXkbiQwwHtrkLJKWwHAtUFFQn+P1b\nLhOccJeYN+CiV/dS3OjuCyd+svIPICOkjms3V/eSBKOhJVyI04XTuUik4UW6z87mFM8azaTvDtki\nQHH9WBzjL7yXVxbRKp83sB6zxQKWTqE2cASw+VyrdDdxP/1f3n/G185r+s43WBS4Enh4dF//m9O0\n1/qHvf+E3/yo+Uy9ye/eNx5b4lWD/4l/+SozuqdFC60m+PSTm/gPt+7j8cvihayucWUf+F+Sf8dr\nvttuF/xlWa3s5WEsTiEf+cDS8LSVr18XNfEHgqA4HhujLFvk6QCR9kEPDpRtFruy03cRJCh6/lbu\nDAXSq1eVJQPHAWs67ZX4NaAl8S960YtwtUFQ1ste9jI8/vjjaw2qR49rFZ4oSOcYlfjieG1rzZYR\ng0/DVajRFx6TT5aJJthub8EwpXMQSGrfJOcliIFttiedxPOIoxQjJ60p8TwZTFJgA/OqTZ7rF+15\nHqIoxcBKK6vNPLEWfR/C1bJHMTDCUrmfMGY50S/tSECQhTXxnA0vSjLyZYQ0hevZ1XMmUJ3jFHBQ\nvweIgNyGMYMHifWeuxZxArgCm74s3Z3l41WtJxfPXpIAdhrBG9jGSjxLEwx8u5pNALHjAMiC8Lad\nEIsGk7jFMsVZby62EUvS4pOUwU4ijIaWmBio3i1pgvHIxoGoYYZCTU8pgwUGVyJk65T02YLhtukS\nOxIrr+zYxfVb7i8xt8d4/HL7CXJysMAH2KuUJNGktj6dL/Cp5LnKbchoZGR/XwQpbqUXcH5HQ+JH\nI2PV/NP2C/A3/6pXfZtY/qOEwcqf+crCqAyWBVfneijhiYsJbt1K8F3Ps4wyLtqAUobneufhbkzx\nH77Vwt4xhNs/fI7iJnoJtkVgEEtSg+73VIb9ZaZq1/bXYN5RnreQwUDZutIEoqA4HtPh+kr8ui3e\ngPx3S+QaYEx5Dj2HVH+3W6KL8gXhvNMAbH8fVosMhy6xbqjj9Q6jHjzvete7MDKwbDHGehW+R4+n\nGNZkAjabtQrY2V8AE3oAMhrh9jMEV2eKSbDvK3vSzwNgiy1XQShGPUuRreJvsgPMRQRM8KMdxxSb\nLq0SNoGyGafAlC209VxxRDG206pVnqvVTmlmp6+AO2ZG0EPMeKt8kqxU/DAChizAldKu+MUAxhhI\nrsSz0sRiRbrzVfgozvqj66ZulDIQmsL3LIQJsNIaBIp5nAAOErHrQGi9F5P42uKAZMGBOI64z3pB\n4vlJk+h+SBlclsB1iJDEM9HkjFKMhhbmYfU+lTkDgoBi05er1SKEIcUNfoyrMmU8DAGurVcQA36y\nxGjsYhFm6o8JKGNAEmMydvKFhnqAoMzCeH4HYPn2onNFBgNlfXUQMdy+zaT1ojol/+LlCM/3z+HK\nrFkoWRmzvQDEmuDLTzB8y63iJ2KV6aFopXZxh+Jz4Y144R7D6U3JfhzHqD73X78c4aw70xJKYhjk\nRilDQHzcdoZkzhZH/uQ3cQuc32F4dvo4bnrB7bi4C9xySr19Yf83/b1hYQR3OsbmCNidM2yODchm\nw4XwyzNgGu/B2rwdWxTYmzNsT492MX1/ATwf2TM19rPcjPHA/Jir2uCG3QZmC4aNYU5oOYcKY5L3\n3RFjtgRObuTJ9MulMOhyYwTsr9ErvnhOVGq5CRYhMPaPWWgpwTp1CukTTzwlx6bzuVEryaOEtlNK\nDyW0JP6lL30pvvrVrxrtjDGGl7zkJRhogmB69OhxdLBOnsxqnVqQ+HnAME4OQMZjjH11H1SdcrCM\nGAYkxtAjWIpIvGQVPauXjmEqniQRxchj2CnxRNGkJU4YhizEgv9O3LZJQjFwKGZlBd3zKhP1JAUc\nzg5OXBe0dD7C3IrOb1Ml+sAUHBPkSHxKAYvGcFwLcYpD1SC3vxcTpChhK2KsmriFee2879uIyudM\nYOOPUwYH2femjB3a8wSEP4iBkUCJF9bap8CI0NpYRQp/dvAUju8gMbDFJingIIXnZNe8QmAL54XD\n/fSlKUZDu566K3EG0ITCFso3coRhipODGN8QTFxl6lcUAx4NMRxa+eKT2WQzjAEvCTCeOrgsWjQY\nDMAuXhR+dueAYcLmsPPgKT4cSTvpShJMxrZwscLk8//8dRvPHYZ4dA2r7e5ugudOdhHEcquoNRpp\nbes7M4oXnbmKc1c3pSTeFOkywl2Dq/i8RrS2xmMkkmtTxt4C2GAHuGGL4PIecNNJxT4nE9DdXaNx\nnrsKPId+A6MT343Lewy3nFJ/bzKZZOfR4PeGMQbEEcjpCTYnBJda1Gyb4PIew5nlEyCbL8B2TPDw\nOYZnSRpD8CgW1JQdFjiwfNGsKL04vUVwfofhzhvN7xkymYDOZrBPnzb+DJAp8TdvE7DZrPabP/Kz\nENHRMVf5HSyBO27I/jfd3RXWXfuueJHVFPb2djbP6YDEj0SU5ZgWPuzTpxH9678ey7FqSFNtmd5R\n47gXmJ5p0M5CPvGJTxzDMHr06NEVrJMnkV66BKdF2OQiBEbRDNb4DCyLCANfCuhSogu11XMkiwG5\n7Z9/iQdhCp9IivkEL/wkyUj8BQ05j5M68RaOO2YYuAw7vMW9pI7FOVGs7M22KyQ4SYERrzbnSnyB\nIKI4SaoqHm9rT1LASWN4noU4OSTxfLJ+ZlFPYFtFyxzx9ysInufbuV22RMw5tS5JARcpXCf736tj\ni9rGxcBWrsTXiLnQTp/kHRBKYxUQ/pQykDSF43lI+NtNcA8V18Z1UA0MLI2FlEh8kjIBC75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VuEJ/ECdTyM87r+4jsbBO6ZgPi+MNiOR5OUbCTN2+cVyEh89uVkdnwZ6fN9PyNE8QLE9zHwssmo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\nY9ccEr8vNH+za478HKscdVKrQ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B04DPN97hytOidMxo3lA35kevyjIIKR7bWX0LWBcq96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\n4gnsvfqvUJ/qvdpcFWRsrFuV9PyYaTFo9W6ddUvq4MKjE8TB6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bzs7Vpjm//Ph2ELqOk8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UWq3wWvN+LxIyOkPT9b1EhfSsSHy3yE9YRkPv57uj5g2JSLxfOr/sc8drvlEcJbu0yJ0FYKX3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\nbREWWddcNe7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92qUi8REd/jDVezttTaSHuDGftWC37Au793RtQWRP5MqV2aywsb+d5RyL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\nX+D3+5WamipJuuKKKxQdHV1tNd/v96tjx47B97iwLS0trcb3SU1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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we treat this pair of numbers as a vector, then we should see the vector run around the origin as the rocket spins:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Trick! Get the orgin to be zero by setting the mean to be zero\n", "mag_y = mag_y-mag_y.mean()\n", "mag_z = mag_z-mag_z.mean()\n", "\n", "fig = utils.Plot(r\"Launch 11 Magnetometer: $[y,z]$ vector\", \"Time [$s$]\", \"Magnetometer [$T$]\")\n", "fig.plot(mag_y, mag_z)\n", "fig.plot(mag_y[:100], mag_z[:100], 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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164Zu3bph8ODB6NGjB9555x0888wzF3wPyBrqG0ZKbR9zb23M/8XRvV4Ef/gB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\n5EgpO0y9ehEzfTrBzZtxz5pV4rWY6dMJ7dqFePw4iseDqVs3lEAA2x1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LEdPT1Vr6bt1w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\nN3s21t69C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PHi025cWWbPns2DDz7In//8ZzZs2EDv3r0ZNmyYbsORlJSUMGTI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6hpKTg33kSFMccOhQ5NRU9LIytF27ENEo2r59GEeOgCRh69UL2ePBV7WAAmZGi+R2m/tUP252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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yep! That's some spinnin. Now we can compute roll angle:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# use numpy to build [y,z] vector from the two arrays\n", "mag = np.dstack((mag_y, mag_z))[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", " # if we just wrapped around, add a revolution\n", " if last_angle > 2 and angle < 0:\n", " rollup += 360\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 11 Magetometer Derived Roll Angle\", \"Time [$s$]\", \"Total Angle [${}^0$]\")\n", "fig.plot(timestamp, angles)\n", "fig.ylim([-200,14000])\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The rocket made 38 revolutions during ascent\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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E7OTG/OTF7OTG/OTG/OTF7LyXR00LtmnTJnTr1g3AtfPki0sbMWIEFixYUGJ8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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can differentiate this to get the aproximate roll rate. But! It will be very noisy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# differentiate\n", "sample_rate = 819.2\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 = 0.5\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 11 Magetometer Derived Roll Rate\", \"Time [$s$]\", \"Angle [${}^0/s$]\")\n", "fig.plot(timestamp[1:], angle_rate, color='black', alpha=0.1, label=\"Roll Rate\")\n", "fig.plot(timestamp[1:], angle_rate_filtered, alpha=1, lw=1.6, label=\"Filtered Roll Rate\")\n", "fig.plot(timestamp, gyr_x, color=utils.blue, label=\"Roll Gryo\")\n", "fig.ylim([-80, 1000])\n", "fig.legend()\n", "fig.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BxhgmT56MwYMHo02bNno7dqJ5Pj4++i4CqSFvb2+d7KdsF29SquwyggqKLrnq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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunatly (again) after so much filtering, none of the subtle effects will show up in the filtered magnetometer data. But it's interesting to see the total roll rate, which orgininally I thought was lost to sensor saturation." ] } ], "metadata": {} } ] }