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}, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "# Importing libraries\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from rocketpy import Environment, Flight, Function, Rocket, SolidMotor" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use(\"seaborn-v0_8-dark-palette\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## RocketPy Simulation\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Environment\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define the `Environment` object\n", + "\n", + "(Location: Londrina, Brazil)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "# Environment conditions\n", + "env = Environment(\n", + " gravity=9.81,\n", + " latitude=-23.245282518586297,\n", + " longitude=-51.232450098784994,\n", + " date=(2024, 12, 1, 13),\n", + " timezone=\"America/Sao_Paulo\",\n", + " elevation=580,\n", + ")\n", + "\n", + "env.max_expected_height = 2000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualize the `Environment` object\n" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Gravity Details\n", + "\n", + "Acceleration of gravity at surface level: 9.8100 m/s²\n", + "Acceleration of gravity at 2.000 km (ASL): 9.8100 m/s²\n", + "\n", + "\n", + "Launch Site Details\n", + "\n", + "Launch Date: 2024-12-01 16:00:00 UTC | 2024-12-01 13:00:00 America/Sao_Paulo\n", + "Launch Site Latitude: -23.24528°\n", + "Launch Site Longitude: -51.23245°\n", + "Reference Datum: SIRGAS2000\n", + "Launch Site UTM coordinates: 476221.37 W 7429308.07 S\n", + "Launch Site UTM zone: 22K\n", + "Launch Site Surface Elevation: 580.0 m\n", + "\n", + "\n", + "Atmospheric Model Details\n", + "\n", + "Atmospheric Model Type: standard_atmosphere\n", + "standard_atmosphere Maximum Height: 2.000 km\n", + "\n", + "Surface Atmospheric Conditions\n", + "\n", + "Surface Wind Speed: 0.00 m/s\n", + "Surface Wind Direction: 0.00°\n", + "Surface Wind Heading: 0.00°\n", + "Surface Pressure: 945.70 hPa\n", + "Surface Temperature: 284.39 K\n", + "Surface Air Density: 1.158 kg/m³\n", + "Surface Speed of Sound: 337.91 m/s\n", + "\n", + "\n", + "Earth Model Details\n", + "\n", + "Earth Radius at Launch site: 6374.83 km\n", + "Semi-major Axis: 6378.14 km\n", + "Semi-minor Axis: 6356.75 km\n", + "Flattening: 0.0034\n", + "\n", + "\n", + "Atmospheric Model Plots\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "env.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Motor\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define the `SolidMotor` object with real test bench data\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "m300 = SolidMotor(\n", + " thrust_source=\"../../data/motors/vetor_ii/vetor_ii_thrust_curve.csv\",\n", + " burn_time=1.8,\n", + " dry_mass=0.4938,\n", + " dry_inertia=(0, 0, 0),\n", + " center_of_dry_mass_position=0.160 / 2,\n", + " grains_center_of_mass_position=0.160 / 2,\n", + " grain_number=1,\n", + " grain_separation=0,\n", + " grain_density=1730,\n", + " grain_outer_radius=0.044 / 2,\n", + " grain_initial_inner_radius=0.00725 / 2,\n", + " grain_initial_height=0.125,\n", + " nozzle_radius=0.020 / 2,\n", + " throat_radius=0.010 / 2,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m300.plots.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nozzle Details\n", + "Nozzle Radius: 0.01 m\n", + "Nozzle Throat Radius: 0.005 m\n", + "\n", + "Grain Details\n", + "Number of Grains: 1\n", + "Grain Spacing: 0 m\n", + "Grain Density: 1730 kg/m3\n", + "Grain Outer Radius: 0.022 m\n", + "Grain Inner Radius: 0.003625 m\n", + "Grain Height: 0.125 m\n", + "Grain Volume: 0.000 m3\n", + "Grain Mass: 0.320 kg\n", + "\n", + "Motor Details\n", + "Total Burning Time: 1.8 s\n", + "Total Propellant Mass: 0.320 kg\n", + "Structural Mass Ratio: 0.607\n", + "Average Propellant Exhaust Velocity: 870.006 m/s\n", + "Average Thrust: 154.613 N\n", + "Maximum Thrust: 272.733 N at 0.25 s after ignition.\n", + "Total Impulse: 278.304 Ns\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m300.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rocket\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create the `Rocket` object with the real dimensions\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "vetor_ii = Rocket(\n", + " radius=0.065 / 2,\n", + " mass=1.079,\n", + " inertia=(\n", + " 0.1163,\n", + " 0.1163,\n", + " 0.0005,\n", + " ),\n", + " power_off_drag=0.43,\n", + " power_on_drag=0.43,\n", + " center_of_mass_without_motor=0,\n", + ")\n", + "vetor_ii.add_motor(motor=m300, position=-0.600)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding nose cone" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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sOjqaCQQCFhYWxqZNm8bef//9TsVOyJXCYayLPRgJIYQQQgYQ6rNECCGEEOICFUuEEEIIIS5QsUQIIYQQ4gIVS4QQQgghLlCxRAghhBDiAhVLhBBCCCEu0KCUvcBqtaKiogJ+fn4d3vOJEEIIIX0DYwxqtRoRERHgcts/fkTFUi+oqKjo8N5KhBBCCOmbysrKEBUV1e58KpZ6QeuNJc+dO+dwk0nSuxhjdOTOzSjH7kc5dj/Ksft5Q44ZYzCrbPc95MukTuNVq9UYMWJEh3+7qVjqBa0/AD8/P8hkMg9H03/l5+cjKSnJ02H0a5Rj96Mcux/l2P26mmOr2QyLRgezRgeLthkWXTPMOr39tUWntz03t77Ww6I3wGow2p5bXzfbXlv0BliNJjCTGVazGcxkBrNYYDWZwcxmMJMFzGKxf356YQb4vj7txtdR4UfFEvEarXdbJ+5DOXY/yrH7UY57D7NYYFJpYVapYWrSwKzWwqzWQJmdhxLZGZjVGpjVOpjUGphVttcWra0oMmu0tgJJq4NVb/T0pvQIFUvEa0ilUk+H0O9Rjt2Pcux+lGNHVrMZ5iYNTI2qlofa8blJDVOj2lYQNaphVmlgalK3FD/adtfb0I1YOEIB+L4+4ElaH2LwJD7gtzzzWueJReCKReD5CMEVi8AVicATi+zTuWIheCIhOAI+OHw+uHweOHw+OIKW1wI+mNGMQ+Pmdj9xl6BiiXiNsLAwT4fQ71GO3Y9y7H79OceWZgOMykaYlI0wKptsr+ubYGpUwdjQBFODCqaGJhiVtmmmBpW9305P8HzE4Mul4PtJwffzBdfXByKFDHyZL/hSX/Bltul8qS/4Ugl4fpI/XvtKwJfaHlyhoBey0DlmbXOvrYuKJeI1CgoKMHz4cE+H0a9Rjt2Pcux+3pJjZrXC1KSBsb4BpvpGGOsbYaxvaHn+471J2WQvjKzN3T/FyPfzhUAhg0DhB4FCBr7cDwJ/GQRyP9tD4Qe+zA8CuRQCuZ9tvkwKvkzapsjJzMz0ihz3FiqWCCGEkF5i0RtgrGuAsVYJQ22D7XW9Eoa6ltd1DTDWNbZMbwAzWzpe6WU4Aj6EAQoIAuQQ+ssh8JdBGKiwFUL+Mgj85RAGyCFonaeQga/wA5dPf/K7izJHvEZERISnQ+j3KMfuRzl2v97OsdVghKFW2VIAKWGoqbe9rlE6TDfWKl328WkPXya1FTsBcggD/SEMVFzy8G8phvwhDJRDGKAATyrx+GX7A20/pmKJeA2z2ezpEPo9yrH7UY7drzM5ZozBrNbCUFUHQ00dDNX1MNTU255rbc/GGiUMNXUwNaq79PkcAR+i4AAIgwIgCvaHINAfomB/CIP+eIiC/CEMCoAwQA6uSNjdTfWYgbYfU7FEvEZNTQ1CQkI8HUa/Rjl2P8qx+1UVlUDSpIOhug6Gqjroq+rsr20FUR301XVd6v/DEfAhCgm0FTohgbZiKCQAouCW1y3FkCg4AHx5/7/11UDbj6lYIoQQ4hWsJrOt0KmqhaGyFvrqOttzVS0MlbYCyFBVB4tWh4pOrpMvk0IUGmgrgEKDIAoOsD2HtD4HQhgcAIG/rN8XQKR9VCwRr5GSkuLpEPo9yrH7UY6dszQboK+qhb6iBobKGugra6CvqL1kWi0MtUqAsU6tj+/nC1FYEEShQRC3PIvCgiAKaX0fCFFIEHgSsZu3rH8aaPsxFUvEa5SUlCAxMdHTYfRrlGP3G4g5thqMtqLnYg30FdVorqiB/mI19JW10FdUQ19RC5OysVPr4vB5tgIoPBiisGCIw4MhDgu2FUIt7yu0KiSNGObejRrgBtp+TMUS8RrNzb03wBhxjnLsfv0tx8xqhbGuAc3l1dBfrELzxWpbIVRRg+byKugramCsVXZqXVwfEcThIRBHhNiew1uKoYgQeyEkDPIHh8t1uR5DZmZvbBpxob/txx2hYol4DYlE4ukQ+j3Ksft5W44tesMfhU95te35YlXLs+0oETOaOlwPVyyEOCLUVghFhEIcEWx7Dg+GT2QoROEhECh6p2O0t+XYGw20HFOxRLxGVFSUp0Po9yjH7tfXcmzWNkNfXoXmskrbo7wKzWUtxVB5FQw19R2vhMuFOCwI4khbMeQTGWZ7HRkCn8hQiCNCIQiQX7EO0n0tx/3RQMsxFUvEa5w/f35ADa/vCZRj97vSObbo9LYCqLQCzWWV0JVW/lEYlVV1qq8Qz0cMcVQofKLCII4Kg09ky+vIUIgjwyAODwZX0Hf+nNB+7H4DLcd9Z+8mhBDSZVaT2dZpurQSutIKW1Fkf13Zqf5CfD9f+MREwCcqFD7R4baCqPURHX5FjwoR0hdRsUS8Rn++k3hfQTl2v67mmDEGU4MKuuKLaC69aDsyVHIRupIKNJdUQF9RA2ZxfX8xnlQCSUwEfGLC4RPd8ogJ/6MYkvv1ZJP6HNqP3W+g5ZiKJUII8TCr2Qz9xRroSi7aiqLW59IK6Iovdni/Ma5ICJ/oMPhER0ASG2E7StRaGMVE9FrHaUIGKq8rljZv3owNGzagqqoKo0aNwltvvYVx48a1237Hjh149tlnUVxcjKSkJLzyyiv485//DAAwmUx45plnsHv3bly4cAFyuRzp6elYv379gLtJoDeoqqpCUFCQp8Po1yjH7mPRG9BcWomiQ4ehYXzoisqhKy63FUVllR3efV4UFgSfmAhIYiPtBZEkNgI+sREQhQR2eDn9QEL7sfsNtBx7VbH0xRdfYOXKldiyZQvGjx+PN954AzNnzkReXp7Te9QcOXIECxYswLp163DjjTfi888/x5w5c3D69GkMHz4cOp0Op0+fxrPPPotRo0ahoaEBjzzyCG666SacPHnSA1tICPFmlmZDSwFUDt2FcmiLy21FUVE59BU19tGnnV1fxhUJ4RMTbiuG4iLhExcJScwfhRHPR3RlN4YQYsdhrJNjx/cB48ePx9VXX423334bAGC1WhEdHY2HHnoITzzxRJv28+fPh1arxa5du+zTJkyYgNTUVGzZssXpZ5w4cQLjxo1DSUkJYmJiOhWXSqWCXC5HcXExZDJZN7aMdIbRaIRQ6H135/YmlOOOWQ1G6EoqoL1QaiuIisqgu1D2R0HkAk8qgU9cJKTx0ZDER9mKopbiSBweTEeHegntx+7nDTk2a5uxL3EaACC9MAN8X582bVQqFeLi4tDU1OTy77fXHFkyGo04deoUnnzySfs0LpeL9PR0HD161OkyR48excqVKx2mzZw5Ezt37mz3c5qamsDhcKBQKNptYzAYYDD8cbdqlUrVuY0gPVJeXo6EhARPh9GvUY5tmMWC5vJqW0FUWAbthTJ7cdRcXgVYre0uy5dJIYmPgm9CNCRxUbaiKCEKkthICIP8UVRURDl2M9qP3W+g5dhriqW6ujpYLBaEhoY6TA8NDUVubq7TZaqqqpy2r6qqctper9fjH//4BxYsWOCywly3bh3WrFnTZnpOTg58fX2RkpKC4uJi6PV6+Pr6IiIiAvn5+QCA8PBwMMbsMSQnJ6OsrAw6nQ4+Pj6IiYlBXl6ePVYul4vKykoAQFJSEiorK6HRaCASiZCQkICcnBwAQHBwMIRCIS5evAgASExMRE1NDdRqNYRCIZKSkpCVlQUACAwMhEQiQVlZGQAgPj4eSqUSTU1N4PP5SElJQVZWFhhjCAgIgJ+fH0pKSgAAsbGxUKlUaGhoAJfLxdChQ5GTkwOLxQKFQgF/f9sfAwCIjo6GTqdDfb3tpMPw4cORl5cHk8kEmUyG4OBgFBYWArANcGYwGFBbWwsAGDp0KAoLC2EwGCCVShEWFobq6mrodDpERETAbDajpsb2X3xKSgpKSkrQ3NwMiUSCqKgonD9/HsAfV2y05nvw4MEoLy+35zs2Nta+/4SEhIDP56Oiwna/8kGDBqGqqsqe78TERGRnZ9vzLRKJUF5ebs93bW0tVCoVBAIBkpOTkdlyywVn+W5oaEBjYyN4PB6GDBmC7OxsWK1W+Pv7QyaTOeRbrVZDqVSCw+Fg2LBhyM3NhdlshlwuR0BAQLv5HjZsGPLz82E0GuHn54eQkBB7viMjI2E0Gu35HjJkCC5cuIC6ujpwuVyEh4c77LNWqxXV1dX2fba0tNSe7+joaPs+GxYWBg6H47DPVlRUQKvVQiwWIy4uzmW+q6ur7fvsoEGD7PkOCgqCWCy25zshIQH19fXt7rNSqRSlpaUAgLi4ODQ2Njrku3WflYIHoVKFsl/PwFxeDUG9CtrCUhjKqgCTuc3veCuORAxJXBQE0aGwBCnAjwxB0p/GoxommH2EkMlkCA0NRUFBAQwAfCIi0GQ2oyYrC2q1GjExMfQd4WSf7el3REFBAQDbP9c1NTX0HeGG74jWfGs0Gnv8ffU7orZlX2/l7DtCq3V98UQrrzkNV1FRgcjISBw5cgRpaWn26Y8//jgOHTqE48ePt1lGKBRi27ZtWLBggX3aO++8gzVr1th/qK1MJhPmzp2L8vJyHDx40GWx5OzIUnR0NJ2Gc7PCwsIBdeNGT+iPObaazWguqYC2oASa/BJoC0ttj4ISmJRN7S7HEQrgGxcFSWK07ShRQjR8E2PgmxANYXBAt68u64857msox+7nDTkekKfhgoKCwOPx2hQ51dXV7Y730Ho0oqP2JpMJ8+bNQ0lJCfbv399hwSMSiSASUWfLKy02NtbTIfR73pxjs0YLbX4JNAUl0OaX2IsjXXE5mIujROKIEFsRlBhjK4wSY+GbGA2fqDBweLxej9Obc+wtKMfuN9By7DXFklAoxNixY5GRkYE5c+YAsHXwzsjIwIMPPuh0mbS0NGRkZGDFihX2aXv37nU4MtVaKOXn5+PAgQMIDAx052aQHsjNzR1Qw+t7gjfk2FjXAM35Ymjyi6HNb30ucdm5mucjhu+gGEgSYyAdFAvfQS3FUUKM0/823ckbcuztKMfuN9By7DXFEgCsXLkSCxcuxFVXXYVx48bhjTfegFarxeLFiwEAd999NyIjI7Fu3ToAwCOPPILJkyfj9ddfxw033IDt27fj5MmTeP/99wHYCqVbb70Vp0+fxq5du2CxWOznrQMCAvp8T39C+ivGGAw19dDkFUFzvgja88XQnC+C5nyJy3uZCYMD4DsoFtKkOPgmxdieB8VCHBFCV5oRQrrNq4ql+fPno7a2Fs899xyqqqqQmpqKPXv22Dtxl5aWgnvJF+LEiRPx+eef45lnnsFTTz2FpKQk7Ny5014NX7x4Ed999x0AIDU11eGzDhw4gOuuu+6KbBfpHGdjaZHedaVz7FAU5V1oKY6KockrgrlJ7XwhDgc+0eGQJsXCNykO0sFxtuekWAgUfb/PIO3H7kc5dr+BlmOv6eDdl9E4S1eGUqlEQECAp8Po19yZY6OyCZrcC1DnXmgpjGzFkamhnaE3uFxI4qMgHRwHaXI8pK2FUWIseBKxW2K8Emg/dj/Ksft5Q44HZAdvQioqKvr8L6e3640cW3R6aM4XQZ1T2FIcFUKTWwRDdZ3zBbhcSOIibQVRy8MvOQGShGjwxP3vQgraj92Pcux+Ay3HVCwRQrqFWa3QlVRAnV0ATU4h1C0PXVG5/bYelxNHhcFvSCKkKQnwaymMfAfF0a08CCF9GhVLxGsMGjTI0yH0e+3l2KTSQJNTCFVWAdQ5BVBnFUCTewEWXbPT9sJABaRDEuGXkmB7HpII6eA48KW+7gzfK9B+7H6UY/cbaDmmYol4jaqqKsTFxXk6jH6tsrISoTwx1Fnnoc4qgCorH+rMfDSXVTptzxUJbafNhiTaiyK/oYMgCh44h+e7ivZj96Mcu99AyzEVS8RraDQaT4fQr1hNZlvfosx8qDLPQ5WZj8bfc5GndX60SBwRAr+hgxwekoQocPn0NdIVtB+7H+XY/QZajulbjngNGjW9+yzNBqhzCqD6PQ+qc3lQncuHOrcQzGhq05Yj4NuOFg1Ngmx4kr0wEgbIPRB5/0P7sftRjt1voOWYiiXiNfr6fYj6CrNWB3VmPpp+z4Xq9/NQncuDNr8EzGJp05bv5wu/YUmQjRgM2fDBkA5NhF9yArhCgQciHxhoP3Y/yrH7DbQcU7FEvEZ2dvaAGl6/Myw6PVRZ+Wg6mwPVmVyofs+DJr/Y6dVowiB/yEamQDYiCbLhgyEbmQyfmAiHG8JmZmZiOBVKbkX7sftRjt1voOWYiiVCvITVZIY6pxBNv2Wj6UwOVGdzockrcnrESBQW1FIYDYZ8VApkI5MhCg1yKIwIIYR0TreKpW3btiEoKAg33HADAODxxx/H+++/j6FDh+Lf//73gLsbMbkygoODPR3CFcMYg66o3FYY/ZaNxt+yoc7Mh9VgbNNWGBwA+agUyFOHQNZSGIlDg7r1uQMpx55COXY/yrH7DbQcd6tYWrt2Ld59910AwNGjR7F582Zs3LgRu3btwqOPPopvvvmmV4MkBOjfHQpNjSo0/paNplNZaDyVhaYz2U5vA8KX+0GemgL56KEtBdJQiMJ674hRf85xX0E5dj/KsfsNtBx3q1gqKyuzD0i1c+dOzJ07F8uWLcOkSZPo5rPEbcrLy6FQKDwdRo8xiwWa88VoPHkOjScz0Xg6C9r8kjbtuCIh/IYnQTF6KORjhkE+eigkcZFuPZXWX3Lcl1GO3Y9y7H4DLcfdKpakUinq6+sRExODn376CStXrgQAiMViNDc7H6OFkIHKrNGi8XQ2Gk+cQ8OJ39F0KgtmtbZNO0l8FORjhkIxZjgUY4bCb1gSXZVG2sVRKsHLyQFHrQYYA5NIYBk8GCw83NOhEdLvdKtYmj59OpYsWYLRo0fj/Pnz+POf/wwAyMrKGlAjepIry1suVdVX16Hx+O9o+PUsGn79HarMfMBqdWjDk/hAPnoIFFcNh2LsCCjGDoMwUOGZgC/hLTn2Zt3OscUCfkYGRNu3g3fqFHhlZU6bWUNDYR49Gsa5c2G68UZggJ0uAWg/vhIGWo67VSxt3rwZzzzzDMrKyvD1118jMDAQAHDq1CksWLCgVwMkpFVtbS1iYmI8HYYDxhiaSyugPHoGDcfOoOH4WduNZC8jjgqD/7iRUFw1Av5XD4d0SGKfHPm6L+a4v+lyjk0miN5/H6IPPgCvtBTmkSNhuvlmNI8aBcvw4WAKBcDhgKNWg5edDd7Zs+AfOQLp0qWwBgfDcPfd0D/yCCCVum2b+hraj91voOW4W9/WCoUCb7/9dpvpa9as6XFAhLRHpWrb4flKY4xBV3wRyiOnWx6/wVBZ69iIw4Hf0EHwHz8K/uNGwH/cKIgjQjwTcBf1hRz3d13JMS8rC5Lly8HLyoJx3jxot26FZcwYp21ZSAisiYkwzZ4NAODm5UH00UcQv/MOhF99Bd1bb8H8pz/1yjb0dbQfu99Ay3G3iqX//e9/Ludfe+213QqGEFcEAs/032kur0L9L6eg/OUUlEdOQ19R4zCfI+BDnjoE/hNSETAhFYqrR0Ag887/4j2V44GkszkWbt0KyZNPwjpoENR798KSmtqlz7EmJ6N5/XoYli2D5KGH4HfTTWheuRL6p58G+vl4W7Qfu99Ay3G3iiVnV7xdeoWOxckgeYT0VHJy8hX5HFOjCvW/nEL9/06i/ucTbU6rcQR8KMYOQ0DaaARMHAPF2OHgScRXJDZ3u1I5Hsg6k2PRpk2QPP889EuXovmFF3rU78iakADNf/8L0VtvQbJmDThNTWh+9dV+XTDRfux+Ay3H3SqWGhoaHN6bTCb89ttvePbZZ/Hyyy/3SmCEXC4zM9Mtw+tbzWY0nc5G3YHjqDv0K5rO5Dh0yObweJCNSkHgNWMRMGks/K8a0W+Ko8u5K8fkDx3lWPivf0Hy/PNofuwx6J96qneKGi4XhkceAQsIgO8jj4ApFLYjTP0U7cfuN9By3K1iSS5ve/fx6dOnQygUYuXKlTh16lSPAyPEnQw19ajdfwx1GUdR978TMDepHeb7JsUhaPLVCLz2agSkjQbfz9dDkZKBhFtYCMkTT9g6ZfdWoXQJ4113gVtXB/FLL8E8dSrMaWm9un5C+qtevRwnNDQUeXl5vblKQuxar7rsDsYY1Fn5qPnpMGp/+sV29OgSAn8ZAq+9GkHXjUfQ5HFe0yG7t/Ukx6Rz2s2x1QrJQw/BGhYG3csvu+00mf7hhyH46SdIHnwQqv/9D/Dtf/8I0H7sfgMtx90qln7//XeH94wxVFZWYv369UjtYidEQjpLIpF0qT2zWNBw/HdU/3AI1T/8D/ryKof5spEpCJ6WhuD0NMhTh4DD4/VmuF6pqzkmXddejoVffgnBsWNQ79rV+QKGMXCUSnC0WjBfX7CAgI6LLB4P2rfeguzaayF++23o//GPLm5B30f7sfsNtBx3q1hKTU0Fh8MBY8xh+oQJE7B169ZeCYyQy5WVlTk9BXwpZrFAeewsqv6TgerdB2Gs+6N/HddHhKDJ4xA8fRKC0yd2+2az/Vlnckx6pr0ciz78EKZp02CeOLHDdXCamiD8979tYy8VFdmnW+LjYVi6FMYFC8Bc/BytgwbB8Ne/QrRtG/QrVwL97Mom2o/db6DluFvFUtElv5wAwOVyERwcDLG4f3Z6JX2fOrsAF7/8AZU798JQVWefLlD4IXj6nxB6w2QEXTuu33bMJt6Nd/o0+KdPQ/P55x225WdkQLpoEaDTtZnHLS6Gz9NPw+fll6H5+GOYp01rdz2Ge+6BeOtWCHbvhunmm3sSPiH9XreKpdjY2N6Og5AOxcfHO7w3qTSo/PpHlH/+X6jOnbdP58v9EHr9tQi7aRoCr7kKXEHfGym7r7o8x6T3Ocux8NtvYQ0Ph2n6dJfL8jMyIL39dtvpt8uO7AOwT2PNzZDefjs027e3WzBZhw6FeexYCL/+ut8VS7Qfu99Ay3Gn/4ps2rQJy5Ytg1gsxqZNm1y2ffjhh3scWHs2b96MDRs2oKqqCqNGjcJbb72FcePGtdt+x44dePbZZ1FcXIykpCS88sor9nvZAbb+VqtXr8YHH3yAxsZGTJo0Ce+++y6SkpLctg2kexoaGuDr6wttUTlK3tuOi1/+AIvOduNmjoCPkBl/QsStMxE8NQ1ckdDD0Xqn1hwT93GWY96ZMzBffTXgot8cp6nJdkSJMXAuu9dgm7ZWKxiXC+miRWjKzGz3lJw5LQ2CnTu7ugl9Hu3H7jfQctzpYmnjxo244447IBaLsXHjxnbbcTgctxVLX3zxBVauXIktW7Zg/PjxeOONNzBz5kzk5eUhJKTt1UtHjhzBggULsG7dOtx44434/PPPMWfOHJw+fdo+PsSrr76KTZs2Ydu2bYiPj8ezzz6LmTNnIjs7m04r9jF12fmoX/chKr/dZx8HyTcpDtF334yIubMgDBg458/dpbGxEVFRUZ4Oo19rk2OrFfyzZ9G8cqXL5YT//jeg0zk9ouQMx2oF0+kg3L4dhvvuc9rGPGoUxG+/DU59PVg/urqJ9mP3G2g55rDLe2n3YePHj8fVV19tvy+d1WpFdHQ0HnroITzxxBNt2s+fPx9arRa7du2yT5swYQJSU1OxZcsWMMYQERGBxx57DKtWrQIANDU1ITQ0FB9//DFuv/32TsWlUqkgl8tRXFwMmUzWC1tKLmUxmVCw4UMUvr8DMNtGhw+6bhxilsxDQFoqwOGAy+GAL/jjv3Kj0dzu+jgcDgTdbGsyWsDg/FeGAw4Ewm62NVnaXDBxKaGQ3622ZpMF1i60zcnJRXKK85F5BQKefaR+s9kKq4ujG11qy+eBw7W1tZitsPRSWz6fB2532lqssFhctOVxweVxu9zWarHCbLEiLzfPIcfcykoEjx6Fps8+g/X66x3a2jGGwLTx4JWUdLpYAgDG4cAaGwvVqVMAhwOrlcFs/uMOC7zcXARddy2UO7+DacIE8Lhc8Pi2eJmVwWRu/24MXWnL5XLBb23LGEymXmrbzu/95Tl21dYZ+o7ouK2zHPe17wijSov9g22nttMLM8D39WnTXqVSIS4uDk1NTS7/fntNZw6j0YhTp07hySeftE/jcrlIT0/H0aNHnS5z9OhRrLzsv7WZM2diZ8th56KiIlRVVSE9Pd0+Xy6XY/z48Th69Gi7xZLBYIDBYLC/H2g3FLzSzi59BjV7fkb2Pc85zvipHvgpAwAQnxyMuQvH2me98/IBmNv5ko2K98ftS8fb33/w6iE060xO24ZGynDX8j+uTvrojZ+hatQ7bRsYIsXiFX/cqPTTd46ivkbjtK1MIcayx6+zv9/+/nFUX3S+H/lIBFj+zB/9Tr7++CTKixqctuULeFix5o9+L//5/AyK8mqdtgWAVWtn2V/v3vE7zmdW40eUOW378PPp9i/OvTszkXW6ot31PvDUVEiktlOhB7/PxZnjpe22Xfr3ayH3t12G/PPe8zj5c3G7bRc9MglBoX4AgGMHC3F0f2G7be94IA3hUbajjaeOlOB/e9ofA27ekqsRk2A7svL7r2XI+G9Ou21vuXsMElNsR7JzzlRgz9eZ7badvSAVySPCAAD52TX477/PAIBDjgMbK7ESQEmlAdEt04ry6/DtJ6ftbSTNKjxdXNzu57SHwxh4xcXgNDSABQSgukKFz9754/tSrq7D4wD+88FhFOzRIG1qIial27og1Ndq8PGbh9td91XXxOG661MAAKqmZnywof17hqaOj0H6zUMBAM1aE95Zu7/dtsPGROD6W0cCsP3R3/T8vnbbDh4eipv+Otr+/tK2l+/H9B1h0xvfEa0uz3Ff+4749X9F7bbrqk4XS5cXHa7885//7FYwrtTV1cFisSA0NNRhemhoKHJzc50uU1VV5bR9VVWVfX7rtPbaOLNu3TqsWbOmzfScnBz4+voiJSUFxcXF0Ov18PX1RUREBPLz8wEA4eHhYIzZ15+cnIyysjLodDr4+PggJibGPrBnaGgouFwuKisrAQBJSUmorKyERqOBSCRCQkICcnJsX+rBwcEQCoW4ePEiACAxMRE1NTVQq9UQCoVISkpCVlYWANtgYhKJBGVlth09Pj4eSqUSTU1N4PP5SElJQVZWFhhjCAgIgJ+fH0pKSgDYOverVCo0NDSAy+Vi6NChyMnJgcVigUKhgL+/v/1qyejoaOh0OtTX1wMAhg8fjry8PJhMJshkMgQHB6Ow0PbHLioqCgaDAbW1tl/aoUOHorCw0FaY+nTc/0in1SIzMxMSiQRRUVFgLv7z0DfrkZmZCR8fH8TGxsLs4l6GRqMRmZmZEIlESExMhNHk/AsTsN32JzMzEwKBAMnJyTAYnH9hAoDZYkFmZiZ4PB6GDBkCfXP7ba1WKzIzM8HhcDBs2DDonFwF1YoxhsxM2x/vYcOGQat1/kXcqrXtkCFDoNG4bpudnQ0+n4vk5GSo1WqXbXNzcyAU85CUlASV2vU/E3l55yGR8jFo0CComly3zc8vQFWtAAkJCR3+k3KhsBD1jcKW/xobXbYtKiqCSleJmJgYNDU1uWxbUlKCZnMNoqKiOmxbVlYKE6cOERER7bZlLf9d19bWoikzE+Hh4W22TWgyOFu0086fOgXZyJFQq4wO0zktRzUYbEdyampqkJlpQGBgIPRa1+usr6tHZmYmAgICAIvroQcaGpTIzMyEQqGAWOi6n0tTkwqZmZmQyWRQyANcttVoNMjMzIRUKkVYWJjLtvQdYTOQviPUahUuHXXs0r9rUqkUpaWl0Go72NFbdPo03JQpUxzenz59Gmaz2X4zvfPnz4PH42Hs2LHYv7/9/xq6q6KiApGRkThy5AjSLhmi//HHH8ehQ4dw/PjxNssIhUJs27YNCxYssE975513sGbNGlRXV+PIkSOYNGkSKioqEB4ebm8zb948cDgcfPHFF05jcXZkKTo6mk7DuVHtgWM49eg6WOsaAQCiyFDELLwFkbfOAl/hR4fY22nb1UPsmVlZGDp0qNO2fe0Qu7eehsvOznbIMbe2BsEjhkP10cew3HyTQ9tWnPp6hAwb0u7ndKSxoAAsIKDNaTh+5jkEpk+D8vvdMI29qt+chrs8x67aOkPfER23dZbjvvYd4ZHTcAcOHLC//uc//wk/Pz9s27YN/v7+AGw94xcvXoxrrrmms6vskqCgIPB4PFRXVztMr66ubvc/irCwMJftW5+rq6sdiqXq6mqXI5GLRCKIenAXcNJ1wVMmYNhXG2H+8SiK3v0cxpJyFL7wFoo2vI/wm6Yh6q+zoRg30v7Ld+kveEe60vbSL69ebStwT1t+F9sGBwd2Kh+2P2bczq23C215fC54nm7L44LH6/22XB4XQh63bY4jwmENCoIgK9NeLLW2tQsLgSU+Htzi4q73WYqLA2v5nuZyOQ6fLczJBuNwwBkxvM3PnXNZW1e61JbjnrbAH7/LndmP6TvCpqvfEa06ynFf+I7gdvJ3s1Pr6s5Cr7/+OtatW2cvlADA398fL730El5//fVeC+5SQqEQY8eORUZGhn2a1WpFRkaGw5GmS6WlpTm0B4C9e/fa28fHxyMsLMyhjUqlwvHjx9tdJ/EcRWgw4pffgcknvsGw1/4BaUoCrM0GXPxiN47f/Df8PHE+Cl77P2gvOO9zQzpGR0bdr02OORxYRo0C/+zZ9hficGBYurRbn2dYtqzdW6Dwzp6FddAgQCrt1rr7KtqP3W+g5bhbxZJKpbL3LblUbW1th+cpe2LlypX44IMPsG3bNuTk5OBvf/sbtFotFi9eDAC4++67HTqAP/LII9izZw9ef/115Obm4vnnn8fJkyfx4IMPArD917JixQq89NJL+O6773Du3DncfffdiIiIwJw5c9y2HaR7WvtN8XxEiL7zZkw68C+M/24LIm+/ATyJD3RF5Sh47f/w88T5ODJjMS689S/oiss9HLV3ac0xcR9nOTaPHQve8eNAc3O7yxkXLAAkEjBu5762GZcLSCQwtndVL2MQHDoE89ixzud7MdqP3W+g5bhbV8PdcsstWLx4MV5//XX7gJDHjx/H3//+d/zlL3/p1QAvNX/+fNTW1uK5555DVVUVUlNTsWfPHnsH7dLSUnAv+SKZOHEiPv/8czzzzDN46qmnkJSUhJ07d9rHWAJsfZ60Wi2WLVuGxsZG/OlPf8KePXtojCUvwOFw4D9uJPzHjcSQlx9F9e5DqPzmJ9T/7yRUv+dB9Xsezr/8LvyGJSH0+msRcv218Bs6yH6qjpC+wjh/PsQbNkD4zTcw3nGH0zZMLofm448hvf12MC7X5cCUjMsFOBxotm1rd0BK/uHD4OXnQ/faa72yDYT0Z90aZ0mn02HVqlXYunUrTC09//l8Pu69915s2LBhQI3qCdA4S1eKWq2Gn59fh+2MdQ2o2n0I1f/dD+WR38AuuZJFHBWGkBl/QvD0iQhIGw2emPqeXaqzOSbd116OpfPmgVNXB3VGRrunzYC294a7tA9T65V1kEig2bYN5qlT212P7+LF4GVnQ3XsmMvP80a0H7ufN+TYrG3GvkTbkAo97eDdo0EptVqt/dLvxMTEAVcktaJi6cqoqKhAREREl5YxKptQ89MvqPnhEOoO/Qqr/o9Lp3k+YgReexWCpqYheOoE+ESHu1jTwNCdHJOuaS/H/P374XfrrdBu2QLjvHku18FpaoJw+3aI3n8fvEtubG6Jj4dh2TIYFiwAXF3Zc/QopDfeCN3rr8O4aFG3t6Wvov3Y/bwhx32mWCI2VCxdGZmZmQ6nULvKotOj/peTqPnxZ9RmHIWhqs5hvu+gGARdNx6Bk8chYOJo8H0lPQ3Z6/Q0x6RjrnLsu3Qp+BkZUB05AtbBuEEAbPeJa2gAR6MBk0ptV711dJRIq4Xs2mvBQkKg3rXL5f3ovBXtx+7nDTnuzWKp2yN4nzx5El9++SVKS0thNDoOdPbNN990d7WEtKunfY14EjFCZvwJITP+BMYY1Fn5qN13BHUHjqPxZCa0BaXQFpSi5MMd4Aj4UIwdjsBrr0bgNVdBnjoEXIHXDHjfbdSfy/1c5Vj3yiuQTZwI37/9DZovvgCEHQzIyuGABQSABbgevNGOMUgefxzcykqovviiXxZKAO3HV8JAy3G3jixt374dd999N2bOnImffvoJM2bMwPnz51FdXY1bbrkFH330kTti7bPoyJL3MzWpUf/zSdQd+hX1h06gudRxmH6erwQBE0YhYNJYBEwaA9nwJHD66R8a4ln8n3+G9LbbYJoxA9oPP+y4YOosxuDz1FMQv/cetO++C+P8+b2zXkL6KI+fhhs5ciTuu+8+LF++HH5+fjh79izi4+Nx3333ITw83OmtQPozKpaujNzcXKSkpFyRz9IVl6PufydR/78TUB45DZPS8VYVfJkU/hNSEZCWioC00fAbngQu3/uPPF3JHA9UncmxYM8e+C5aBHNaGrSbN4P1sG8Ip6kJklWrIPz6a2hffx3GluFW+ivaj93PG3Ls8dNwhYWFuOGGGwDYBovUarXgcDh49NFHMXXq1AFXLJErw2xu/5YDvU0SF4WYuCjE3D0HzGqFOrsA9b+cgvLwaTQcOwOzSoPan35B7U+/AAB4Ugn8rx4J/wmj4D9+FOSpQ7zySrsrmeOBqjM5Ns2aBc2OHfBdtgyySZPQvHatbbykbpz64O/dC98VK8DRaKD58EOY3Di8S19B+7H7DbQcd6tY8vf3tw8+GRkZiczMTIwYMQKNjY0ub+BHSE/I2xkvxt04XC5kwwdDNnww4u9fAKvZDHVmPpSHT0N59Dc0HD8Ls1qLugPHUHfgGACAKxJCnjoEipZxoBRXjYDQv+8fdfRUjgeSzubYfM01UB05Ap8nn4Tv8uUQvfsuDPfcA+Ott3Y84rbRCMF//wvR1q0QHD0K09Sp0L7xBlhUVC9sQd9H+7H7DbQcd6tYuvbaa7F3716MGDECt912Gx555BHs378fe/fuxVQX43oQ0hMBne3E6mZcPh/y1CGQpw5B/PI7wCwWqHMKoTx2Bg3HzqLh2BkY6xrQcPwsGo6fReuF3dLB8VBcPRyKq0ZAcfUI+CbG9LlOkn0lx/1ZV3LM/P2h27IFxgULIHr/fUhWrYLkuedgHjsWltRUmIcPtw06yeGAo9GAl5UF/tmz4J06Ba5SCdOf/gTNxx/DNHt2vxtLyRXaj91voOW4W32WlEol9Ho9IiIiYLVa8eqrr+LIkSNISkrCqlWrHG5KOxBQn6UrwxsuVQVsd0rXFZXbCqcTv6Ph19+hKyxt007gL4NizDAorrIVUPLUIeD7eXasMm/JsTfrSY65ZWUQ7tgB3unT4J85A26F44UI1qAgWEaNgjk1Fca5c2Ht431K3IX2Y/fzhhx7vM/SpRUll8vFE088Ab1ej82bN2P06NGoqqrqzmoJ6Rc4HA58E6LhmxCNqL/eCMA2qnjjqUw0/Po7Gk9loulMDkwNKtRmHEVtxtHWBSFNjodizDDIxwyFYswwSJPj6ao7YmeNjoZ+5Ur7e05TE9B6P06JpHPjLBFCuqxLxZLBYMDzzz+PvXv3QigU4vHHH8ecOXPw0Ucf4ZlnngGPx8Ojjz7qrljJABcdHe3pELpNGOSPkJnXIGTmNQAAq9EEdVY+Gk6eQ+PJTDSdzkZzWSU0uRegyb2A8s//CwDgSXwgG5UCxeihtlN/o4dAHBXmttN33pxjb9GbOWZyOTDA+o50Bu3H7jfQctylYum5557De++9h/T0dBw5cgS33XYbFi9ejGPHjuH111/HbbfdBh79F0zcRKfT9ZtOhVyhAPLRQyEfPRRYahvvxlBTj8bTWWg8lYWm01loOpMLi1aHhqO/oeHob/ZlhYEK27KpQyAblQJ56hCIgnun/0B/ynFfRTl2P8qx+w20HHepWNqxYwc++eQT3HTTTcjMzMTIkSNhNptx9uzZPtdRlfQ/9fX1/bo/nCgkEKGzrkXorGsBAMxigSa/BE2ns9F0JgdNZ7Khzi6Asb4RtfuOoHbfEfuy4ogQW+E0KgWykSmQj0yGMMi/yzH09xz3BZRj96Mcu99Ay3GXiqXy8nKMHTsWADB8+HCIRCI8+uijVCgR4gYcHg9+KQnwS0mw932y6A1QZ+Wj6bccNJ3NRdOZHGgLSqCvqIG+ogY1P/zPvrw4MhSykcmQjUiGfGQyZCOTIQoJ9NTmEEKI1+pSsWSxWCC8ZOh9Pp8PaUfjfRDSS4YNG+bpEDyOJxZBMXY4FGP/uArFrNFCde48ms7mQnU2F02/50FXWAr9xWroL1Y7FFCi0CDIhifBb4Rt3CjZiMHwiYmw/8NDOXY/yrH7UY7db6DluEvFEmMMixYtgkhkG5lYr9fj/vvvh6+v4+XOdCNd4g75+fkYPHiwp8Poc/hSXwSkjUZA2mj7NLPaVkCpzuXZHr+fh6agBIbqOtRW1/1xBR5st27xG5YE2YjB0AX6ISn9GkiT4sAVCjyxOf0e7cfuRzl2v4GW4y4VSwsXLnR4f+edd/ZqMIS4YjQaPR2C1+D7+SJg4mgETLykgNI2Q51TANXvtiJKnXke6twLMKs0Dp3Ia9d9CI6AD+ngeFsRNWwQ/IYNgt/QJAgDBk6HTneh/dj9KMfuN9By3KVi6aOPPnJXHIR0yM/Pz9MheDW+rw/8rxoB/6tG2KdZjSZozhdBlZkPdVY+ak+dg7GgDGaVBuos27RLhz0UhQdDNnQQpEMHwW9oImRDkyBJjO4XNxG+Umg/dj/KsfsNtBzTNxzxGiEhIZ4Ood/hCgX2+94BQFxzM8RiMZrLqqDOOg91VgFUWflQZxWgubQChspa1FbWOpzG4wgFkA6Og19KIvyGJEI61PYsCg2iiz+coP3Y/SjH7jfQckzFEvEahYWFfX54fW/XmmNJTDgkMeEIvX6yfZ5ZrYU6pxDq7AKoswuhzs6HOucCLFod1Jn5UGfmO6xL4C+DNCURfikJkA5peU6Oh0A+sP4jvRztx+5HOXa/gZZjKpYIIZ3C9/OF/7iR8B830j6NWa22o1A5BdDkFNqKqNxCaAvLYGpQtRlQE7CNCSVNthVO0pQE+CXHw3dwvNP7NhFCSF9AxRLxGpGRkZ4Ood/rao45XC4ksRGQxEbYB9MEbONBafOLoc6x3b5FnXsBmtxC+3hQ+ooa1B045rAun+hwWwGVHG8rpgbHwTcprt8VUbQfux/l2P0GWo6pWCJeY6BdfeEJvZVjnlgE2QjbgJiXMjWpockrgiavtYC6AE1eEYx1DWguq0RzWaXDyOTgcGxFVEvhJB0cZyumkuLA9/OFN6L92P0ox+430HJMxRLxGrW1tQgNDfV0GP2au3MskPu1OZUHAMb6RnsRpTlfbH9trG9Ec2kFmksrHIsoAKKwIEiTWoqopFh7MSUMDujTHctpP3Y/yrH7DbQce02xpFQq8dBDD+G///0vuFwu5s6dizfffNPlCOJ6vR6PPfYYtm/fDoPBgJkzZ+Kdd96x/4DPnj2L9evX45dffkFdXR3i4uJw//3345FHHrlSm0UIge3mwJePCwUAxroGW/GUXwzN+SJo80ugySuCoboOhirbo/7nkw7L8OV+8B0UA+mg2D8KqUGx8ImNoCEOCCHd4jXfHHfccQcqKyuxd+9emEwmLF68GMuWLcPnn3/e7jKPPvoovv/+e+zYsQNyuRwPPvgg/vKXv+Dw4cMAgFOnTiEkJASffvopoqOjceTIESxbtgw8Hg8PPvjgldo00klDhgzxdAj9Xl/LsTDIHwFB/m2KKFOTGtqCEmjOF9sKqPNF0BaUQFdaCXOTGk2nstB0KsthGY6AD0lcJHwHxcI3Mcb2GGQrpIT+siu2TX0tx/0R5dj9BlqOOYwx5ukgOpKTk4OhQ4fixIkTuOqqqwAAe/bswZ///GeUl5cjIiKizTJNTU0IDg7G559/jltvvRUAkJubiyFDhuDo0aOYMGGC089avnw5cnJysH///k7Hp1KpIJfLUVxcDJnsyn3pDjT5+flISkrydBj9mrfn2KI3QFdU3lJEFUNbWAptQQm0BaWwNOvbXU4QILcVTwnR8B0UA9/EWEgSoiGJiwRPLOrVGL09x96Acux+3pBjs7YZ+xKnAQDSCzOcXiyiUqkQFxeHpqYml3+/veLI0tGjR6FQKOyFEgCkp6eDy+Xi+PHjuOWWW9osc+rUKZhMJqSnp9unpaSkICYmxmWx1NTUhICAgN7fCNJjBoPB0yH0e96eY55YBL8htkExL8WsVugvVrcUT6W255aH/mI1TMomNCrPofHEOccVcjjwiQqDJDEavgm2YkqSEA3fxGj4RIWBw+N1OUZvz7E3oBy730DLsVcUS1VVVW1GC+Xz+QgICEBVVVW7ywiFQigUCofpoaGh7S5z5MgRfPHFF/j+++9dxmMwGBx2FJVK1YmtID3lqn8a6R39NcccLhc+0eHwiQ5H0HXjHeaZtc3QFZW1KaJ0F8pgVmvtV+nVH/zVcZ0Cvm3YhPhoSBKi4BvfUkjFR0EcEdJuIdVfc9yXUI7db6Dl2KPF0hNPPIFXXnnFZZucnJwrEktmZiZuvvlmrF69GjNmzHDZdt26dVizZk2b6Tk5OfD19UVKSgqKi4uh1+vh6+uLiIgI5OfbRjcODw8HY8xesCUnJ6OsrAw6nQ4+Pj6IiYlBXl4eAFthx+VyUVlZCQBISkpCZWUlNBoNRCIREhIS7PkJDg6GUCjExYsXAQCJiYmoqamBWq2GUChEUlISsrJsfTgCAwMhkUhQVlYGAIiPj4dSqURTUxP4fD5SUlKQlZUFxhgCAgLg5+eHkpISAEBsbCxUKhUaGhrA5XIxdOhQ5OTkwGKxQKFQwN/fH0VFRQCA6Oho6HQ61NfXAwCGDx+OvLw8mEwmyGQyBAcHo7CwEAAQFRUFg8GA2tpaAMDQoUNRWFgIg8EAqVSKsLAwqFQqZGZmIiIiAmazGTU1NQBsRwxLSkrQ3NwMiUSCqKgonD9/HgAQFhYGAPZ8Dx48GOXl5fZ8x8bGIjc3F4Bt+H4+n4+KCtvd0AYNGoSqqip7vhMTE5GdnW3Pt0gkQnl5uT3ftbW1UKlUEAgESE5ORmZmZrv5bmhoQGNjI3g8HoYMGYLs7GxYrVb4+/tDJpM55FutVkOpVILD4WDYsGHIzc2F2WyGXC5HQEBAu/keNmwY8vPzYTQa4efnh5CQEHu+IyMjYTQa7fkeMmQILly4gObmZhQXFyM8PNxhn7Varaiurrbvs6WlpfZ8R0dH2/fZsLAwcDgch322oqICWq0WYrEYcXFxLvNdXV1t32cHDRpkz3dQUBDEYrE93wkJCaivr293n5VKpSgtLQUAxMXFobGx0SHfl+6zCoUCpTACg8IQM3UcNBoNeEolZACSQiOQc+AXGIovglvXBFQp0XT+AswXa8BMZluBVVDa5ruAI+DDJzYS1mA5+BEhCBw2GILIEGh8BOAEK2COiqLvCDd8RxQUFNi3taamhr4j3PAd0ZrvgIAAe/x99TuitmVfb+XsO0Kr1aIzPNpnqba21v5Da09CQgI+/fRTPPbYY2hoaLBPN5vNEIvF2LFjh9PTcPv378e0adPQ0NDgcHQpNjYWK1aswKOPPmqflp2djSlTpmDJkiV4+eWXO4zb2ZGl6Oho6rPkZpmZmQNqeH1PoBx3jv20XlE5dBfKoC0qg+5COXRFZdCVVICZzO0vzONCEhsJSVwUJHGRfzxiI+ETG9HrfaQGItqP3c8bctxv+iwFBwcjODi4w3ZpaWlobGzEqVOnMHbsWAC2YshqtWL8+PFOlxk7diwEAgEyMjIwd+5cAEBeXh5KS0uRlpZmb5eVlYWpU6di4cKFnSqUAEAkEkEkoi80QgaqS0/r4dqrHeYxiwXNF2tshVNROXRF5dAWlaO5+CJ0JRdhNRihu1AG3YUyp+sWhQe3FFORkMRGwKf1dUwEBIGKPj2GFCH9lVf0WRoyZAhmzZqFpUuXYsuWLTCZTHjwwQdx++2326+Eu3jxIqZNm4ZPPvkE48aNg1wux7333ouVK1ciICAAMpkMDz30ENLS0uyduzMzMzF16lTMnDkTK1eutB+G5fF4nSriyJUVHh7u6RD6Pcpxz3F4PPuNiDF5nMM8ZrWiMvs8RE066IpthZSu+CKaSy5CV3wRZrUWhspaGCpr0XDsTJt183wlLQVUBHxiwiGJaSmoYiLgEx0Ong/9EwfQfnwlDLQce0WxBACfffYZHnzwQUybNs0+KOWmTZvs800mE/Ly8qDT6ezTNm7caG976aCUrb766ivU1tbi008/xaeffmqfHhsbi+Li4iuyXaTzrFarp0Po9yjH7sXhciEIDUTg8BQEThrjMI8xBpOyCbqWwqm55CJ0JRW216UV0FfUwKLVQZ1dAHV2gdP1i0ICLymkIuATHQGfmDD4REdAHBECrsBrvvJ7hPZj9xtoOfaKcZb6Ohpn6crwhnPk3o5y7H7dzbFFb7BdmVdaCV1Jha2YKq1Ac0kFdKUVsGh0Lpfn8HgQhQfDJ9p21MsnOhziqDD76URxRHC/GeGc9mP384Yc95s+S4QQQjqHJxZBmhQHaVJcm3mMMZgaVC330au0FVGlFWguq4SutBL68ipYDUboy6ugL69Cw9Hf2qyDw+NBFBZkK56iwuATHfZHMRUVBp/IUHBFwiuwpYT0PVQsEa+RnJzccSPSI5Rj93NHjjkcDoQBcggD5JCntr0NBbNaYaipR3NZlf3GxM3lVbb3ZZVovlgNZjRBf7Ea+ovVaHDyGQAgDA6AT1QYxJGhtueoUHshJY4Mg8Bf1ic6oNN+7H4DLcdULBGvUVpaisTExI4bkm6jHLufJ3LM4XIhDguGOCwY/lePaDPfoZgqr0Rzme0IlO297bWlWQ9jrRLGWiWafst2+jk8HzHEkSG2YioyDOKIEIgjQiGOCoU4IgQ+EaHgScTu3lzaj6+AgZZjKpaI12hubvZ0CP0e5dj9+mKOOyymWjqfN1+sthVRF1uLqGrbc0UNjLVKWJr17Q7U2UrgL7MVUBEhEIeHQBwR3PK+5TksuMcFVV/McX8z0HJMxRLxGhKJxNMh9HuUY/fzxhxzOBwIAxUQBiogH+n89ItFb4ChqhbN5bZTec0Xq6GvqIb+Yo3tfUU1LBodTA0qmBpUUGflt/t5An8ZxOEhEIUF24qo8BCIw4MhCrcVdOLwYPDlfu2e8vPGHHubgZZjKpaI14iOjvZ0CP0e5dj9+muOeWJRy6jkUe22Mak0tn5RFTW2Qqqi1vZcWWsvrCzN+j8KqnaGSAAAro8I4rBgW0EVHgxRaBDELcWUX5ACOl4FRKGBNCK6m/TX/bg9VCwRr5GXl9fnL1X1dpRj9xvIORbIpBDIpPAb4ryvC2MM5ia1rXiqrIW+sgaGlmd9Rcv7qlqYGtWwNhvsI6S7/Ex/GUShQRCFBUEcGmR7HRoEUWggRGFBEIUEQRwaSFf6ddFA24+pWCKEENIncDgcCBQyCBSydgsqALDo9NBX19kKqepaGCrroK+qhaGqDobqOqhKLoI1qGA1GO1HqTS5F1x+tkDhB1FIEIQhAbZCKjjQ9hwaBFFIAETBgRCGBEKgaP/0H+m/qFgiXqP17uDEfSjH7kc57jmeRAzf+Cj4xjs/5VdXV4fAwECYGtUwVNXCUF0HfWUtDDX1MFTXw1Bd1/Koh766DsxogqlRDVOjGjhf5PKzOQI+RMEBEAYF2IqokEAIg/0hDA6AKMjfNj04AMLgAFthxeW6IwUeN9D2YyqWiNeg/+bcj3LsfpRj9+NwOLZO6f4yCP1dH6VijNmKquo6GGuVtiKqpuXZ/r4exlolTI1qMJO5pc9VTcdx8HkQBvnbH6IgfwgD/dtMEwT6QxiocDrCdF810PZjKpaI16isrERgYKCnw+jXKMfuRzl2v67k+NKiCikJLttaDUYY6hpgrKmHobYBhtp6+2tjrdI2r075R2FltthODVbVdSoWro8IwgCF/cpDYaACgkCFbVqAHIKWZ2GAAoIAOQT+Mo/domag7cdULBFCCCGdwBUJ4RMZCp/I0A7bWo0mGOsaYKhVwljfCGNdg/1huOS1sc4232owwtpssI+i3ll8uZ+tkPKXQ6CQQRggs732l0Po3/paZu8LJvCXgS+V9NvTg+5CxRLxGklJSZ4Ood+jHLsf5dj9+kKOuUJBywjmIR22ZYzBomuGsa7RVljVN8BY3whTfct7ZSOMyiaYlI0wNqhgUjbC1KACAJib1DA3qYEOrgp0DI4LgcIPArlfSxFle+bLpBDI/WzPCj8IZH7gy21XMPIVMgj8fMGXScEVCvpEjq8kKpaI16ioqEB8fLynw+jXKMfuRzl2P2/LMYfDAd9XAr6vBJLYiE4tYzWbYW5Uw6hsglHZCFOjCialCqaGJhgbmmBqaIKpZb6poQmmJjVMjSpYmw2A1QqTsgkmZVO34uWKhOBIxBD5y8H38wXfz9dWUPn5gieVgC+VgC/1BV8qcXjP87W95vn6gCfxAd/XB1yhoFsxXGlULBGvodVqPR1Cv0c5dj/KsfsNhBxz+Xx7J/GusOgNtsKpQQVzSwFluxJQBZNKY5vWpIFZZXs2NalhVmlgalTDotUBsPXdgsEIXcvRrZ7g8HngSXzAk4jtBRRP4gOuWAieWASuWGR7FonA9bFNs78XCcER8MHl88Hh88AR8GyvW6ZZLZYex9eKiiXiNcRi99+Ac6CjHLsf5dj9KMftay02xKFBXV6WWSwwa3QwqzS4kJWDcEUAzCotzBotzCoNzGoNzGqdrY1GB4tWZ5un0cGiuWS6rhnMZLat02yxLavS9Pam9ioqlojXiIuL83QI/R7l2P0ox+5HOXYPDo9n6+ck90NyeDD4PbgSz2oyw6JrhkXbDLOuGRad3vZep4dFq4NFb4BVb4ClpeO7RW+wdYLXG+zzrAYTrGYzmMlsezZbwMxmWE1mMJMFVqOxw8FIO4uKJeI1cnNzB9Tw+p5AOXY/yrH7UY7dr6c55gr44LYUXu5i6zivB2AbyLQnqFjqBYwxAIBarfZwJP2bVquFStXzc+SkfZRj96Mcux/l2P28Lsdqk/PJLX+3W/+Ot4eKpV5QX18PABgxYoSHIyGEEEJIV6nVasjl8nbnU7HUCwICAgAApaWlLpNNuk+lUiE6OhplZWWQyWSeDqdfohy7H+XY/SjH7tefcswYg1qtRkSE6yEbqFjqBdyWkVDlcrnX7zh9nUwmoxy7GeXY/SjH7kc5dr/+kuPOHOSg8c4JIYQQQlygYokQQgghxAUqlnqBSCTC6tWrIRKJPB1Kv0U5dj/KsftRjt2Pcux+AzHHHNbR9XKEEEIIIQMYHVkihBBCCHGBiiVCCCGEEBeoWCKEEEIIcYGKJUIIIYQQF6hY6gSlUok77rgDMpkMCoUC9957LzQajctl9Ho9li9fjsDAQEilUsydOxfV1dUObTgcTpvH9u3b3bkpfcbmzZsRFxcHsViM8ePH49dff3XZfseOHUhJSYFYLMaIESOwe/duh/mMMTz33HMIDw+Hj48P0tPTkZ+f785N6PN6O8eLFi1qs7/OmjXLnZvQ53Ulx1lZWZg7dy7i4uLA4XDwxhtv9HidA0Fv5/j5559vsx+npKS4cQv6vq7k+IMPPsA111wDf39/+Pv7Iz09vU37fvl9zEiHZs2axUaNGsWOHTvGfv75ZzZo0CC2YMECl8vcf//9LDo6mmVkZLCTJ0+yCRMmsIkTJzq0AcA++ugjVllZaX80Nze7c1P6hO3btzOhUMi2bt3KsrKy2NKlS5lCoWDV1dVO2x8+fJjxeDz26quvsuzsbPbMM88wgUDAzp07Z2+zfv16JpfL2c6dO9nZs2fZTTfdxOLj4wdEPp1xR44XLlzIZs2a5bC/KpXKK7VJfU5Xc/zrr7+yVatWsX//+98sLCyMbdy4scfr7O/ckePVq1ezYcOGOezHtbW1bt6SvqurOf7rX//KNm/ezH777TeWk5PDFi1axORyOSsvL7e36Y/fx1QsdSA7O5sBYCdOnLBP++GHHxiHw2EXL150ukxjYyMTCARsx44d9mk5OTkMADt69Kh9GgD27bffui32vmrcuHFs+fLl9vcWi4VFRESwdevWOW0/b948dsMNNzhMGz9+PLvvvvsYY4xZrVYWFhbGNmzYYJ/f2NjIRCIR+/e//+2GLej7ejvHjNmKpZtvvtkt8Xqjrub4UrGxsU7/kPdknf2RO3K8evVqNmrUqF6M0rv1dJ8zm83Mz8+Pbdu2jTHWf7+P6TRcB44ePQqFQoGrrrrKPi09PR1cLhfHjx93usypU6dgMpmQnp5un5aSkoKYmBgcPXrUoe3y5csRFBSEcePGYevWrWD9fNgro9GIU6dOOeSGy+UiPT29TW5aHT161KE9AMycOdPevqioCFVVVQ5t5HI5xo8f3+46+zN35LjVwYMHERISguTkZPztb39DfX1972+AF+hOjj2xTm/mznzk5+cjIiICCQkJuOOOO1BaWtrTcL1Sb+RYp9PBZDLZbyjfX7+PqVjqQFVVFUJCQhym8fl8BAQEoKqqqt1lhEIhFAqFw/TQ0FCHZV544QV8+eWX2Lt3L+bOnYsHHngAb731Vq9vQ19SV1cHi8WC0NBQh+mX5+ZSVVVVLtu3Pndlnf2ZO3IMALNmzcInn3yCjIwMvPLKKzh06BCuv/56WCyW3t+IPq47OfbEOr2Zu/Ixfvx4fPzxx9izZw/effddFBUV4ZprroFare5pyF6nN3L8j3/8AxEREfbiqL9+H/M9HYCnPPHEE3jllVdctsnJyXFrDM8++6z99ejRo6HVarFhwwY8/PDDbv1cQrrj9ttvt78eMWIERo4cicTERBw8eBDTpk3zYGSEdN71119vfz1y5EiMHz8esbGx+PLLL3Hvvfd6MDLvs379emzfvh0HDx6EWCz2dDhuNWCPLD322GPIyclx+UhISEBYWBhqamocljWbzVAqlQgLC3O67rCwMBiNRjQ2NjpMr66ubncZwPYfT3l5OQwGQ4+3r68KCgoCj8drc2Wgq9yEhYW5bN/63JV19mfuyLEzCQkJCAoKQkFBQc+D9jLdybEn1unNrlQ+FAoFBg8eTPvxJTqT49deew3r16/HTz/9hJEjR9qn99fv4wFbLAUHByMlJcXlQygUIi0tDY2NjTh16pR92f3798NqtWL8+PFO1z127FgIBAJkZGTYp+Xl5aG0tBRpaWntxnTmzBn4+/v365sTCoVCjB071iE3VqsVGRkZ7eYmLS3NoT0A7N27194+Pj4eYWFhDm1UKhWOHz/uMt/9lTty7Ex5eTnq6+sRHh7eO4F7ke7k2BPr9GZXKh8ajQaFhYW0H7foTI5fffVVvPjii9izZ49Df16gH38fe7qHuTeYNWsWGz16NDt+/Dj75ZdfWFJSksPQAeXl5Sw5OZkdP37cPu3+++9nMTExbP/+/ezkyZMsLS2NpaWl2ed/99137IMPPmDnzp1j+fn57J133mESiYQ999xzV3TbPGH79u1MJBKxjz/+mGVnZ7Nly5YxhULBqqqqGGOM3XXXXeyJJ56wtz98+DDj8/nstddeYzk5OWz16tVOhw5QKBTsP//5D/v999/ZzTff7PWXqvZEb+dYrVazVatWsaNHj7KioiK2b98+NmbMGJaUlMT0er1HttHTuppjg8HAfvvtN/bbb7+x8PBwtmrVKvbbb7+x/Pz8Tq9zoHFHjh977DF28OBBVlRUxA4fPszS09NZUFAQq6mpueLb1xd0Ncfr169nQqGQffXVVw7DL6jVaoc2/e37mIqlTqivr2cLFixgUqmUyWQytnjxYocdo6ioiAFgBw4csE9rbm5mDzzwAPP392cSiYTdcsstrLKy0j7/hx9+YKmpqUwqlTJfX182atQotmXLFmaxWK7kpnnMW2+9xWJiYphQKGTjxo1jx44ds8+bPHkyW7hwoUP7L7/8kg0ePJgJhUI2bNgw9v333zvMt1qt7Nlnn2WhoaFMJBKxadOmsby8vCuxKX1Wb+ZYp9OxGTNmsODgYCYQCFhsbCxbunTpgP0j3qorOW79nrj8MXny5E6vcyDq7RzPnz+fhYeHM6FQyCIjI9n8+fNZQUHBFdyivqcrOY6NjXWa49WrV9vb9MfvYw5j/fxadUIIIYSQHhiwfZYIIYQQQjqDiiVCCCGEEBeoWCKEEEIIcYGKJUIIIYQQF6hYIoQQQghxgYolQgghhBAXqFgihBBCCHGBiiVCCHGjRYsWYc6cOZ4OgxDSA3xPB0AIIb1h0aJFaGxsxM6dOz3y+cXFxYiPj8dvv/2G1NRUj8TQ2ywWC0wmk6fDIKTbBAIBeDxej9dDxRIhhBAHjDFUVVWhsbHR06EQ0mMKhQJhYWHgcDjdXgcVS4SQfi8zMxN///vf8fPPP8PX1xczZszAxo0bERQUBAC47rrrMHLkSIjFYnz44YcQCoW4//778fzzz9vXkZubiyVLluDkyZNISEjApk2bMH36dHz77beYM2cO4uPjAQCjR48GAEyePBkHDx60L//aa6/h9ddfh9FoxO2334433ngDAoHgiuWgK1oLpZCQEEgkkh79kSHEUxhj0Ol0qKmpAQCEh4d3e11ULBFC+rXGxkZMnToVS5YswcaNG9Hc3Ix//OMfmDdvHvbv329vt23bNqxcuRLHjx/H0aNHsWjRIkyaNAnTp0+HxWLBnDlzEBMTg+PHj0OtVuOxxx5z+Jxff/0V48aNw759+zBs2DAIhUL7vAMHDiA8PBwHDhxAQUEB5s+fj9TUVCxduvSK5aGzLBaLvVAKDAz0dDiE9IiPjw8AoKamBiEhId0+JUfFEiGkX3v77bcxevRorF271j5t69atiI6Oxvnz5zF48GAAwMiRI7F69WoAQFJSEt5++21kZGRg+vTp2Lt3LwoLC3Hw4EGEhYUBAF5++WVMnz7dvs7g4GAAQGBgoL1NK39/f7z99tvg8XhISUnBDTfcgIyMjD5ZLLX2UZJIJB6OhJDe0bovm0wmKpYIIcSZs2fP4sCBA5BKpW3mFRYWOhRLlwoPD7cfvs/Ly0N0dLRDETRu3LhOxzBs2DCHL+nw8HCcO3euS9txpdGpN9Jf9Ma+TMUSIaRf02g0mD17Nl555ZU28y7tw3B5/yEOhwOr1dorMbhz3X0aY0B9PaDRAFIpEBgIUBFGvBCNs0QI6dfGjBmDrKwsxMXFYdCgQQ4PX1/fTq0jOTkZZWVlqK6utk87ceKEQ5vWPkoWi6X3gvdWjY3Am28CSUlAcDAQH297TkqyTaer7HoVYwzLli1DQEAAOBwOzpw54+mQ+h0qlggh/UZTUxPOnDnj8Fi2bBmUSiUWLFiAEydOoLCwED/++CMWL17c6cJm+vTpSExMxMKFC/H777/j8OHDeOaZZwD8cYg/JCQEPj4+2LNnD6qrq9HU1OS27ezTfvwRiIoCHn0UuHDBcd6FC7bpUVG2dm5QVVWFhx56CAkJCRCJRIiOjsbs2bORkZHRq59z3XXXYcWKFb26zssplUqsWLECsbGxEAqFiIiIwD333IPS0lKHdnv27MHHH3+MXbt2obKyEsOHD2+zroMHD4LD4dgfoaGhmDt3Li5c/jMiTlGxRAjpNw4ePIjRo0c7PF588UUcPnwYFosFM2bMwIgRI7BixQooFApwuZ37CuTxeNi5cyc0Gg2uvvpqLFmyBE8//TQAQCwWAwD4fD42bdqE9957DxEREbj55pvdtp191o8/AjfcADQ3207BMeY4v3Vac7OtXS8XTMXFxRg7diz279+PDRs24Ny5c9izZw+mTJmC5cuX9+pn9Raj0eh0ulKpxIQJE7Bv3z5s2bIFBQUF2L59OwoKCnD11Vc7FDmFhYUIDw/HxIkTERYWBj6//R42eXl5qKiowI4dO5CVlYXZs2c7/aeBMQaz2dzzDexFHo2JEUII6bJffvmFAWAFBQWeDqVXNTc3s+zsbNbc3Ny1BRsaGPP1ZYzLbS2JXD+4XFv7hoZei/36669nkZGRTKPROAmvweH1vffey4KCgpifnx+bMmUKO3PmjH3+6tWr2ahRo9gnn3zCYmNjmUwmY/Pnz2cqlYoxxtjChQsZAIdHUVERY4yxc+fOsVmzZjFfX18WEhLC7rzzTlZbW2tf9+TJk9ny5cvZI488wgIDA9l1113ndFvuv/9+5uvryyorKx2m63Q6FhkZyWbNmuU0ltjYWKfrO3DgAAPgkIfPPvuMAWC5ubn2+bt372ZjxoxhAoGAHThwgFksFrZ27VoWFxfHxGIxGzlyJNuxY4d9HUqlkv31r39lQUFBTCwWs0GDBrGtW7cyxhgzGAxs+fLlLCwsjIlEIhYTE8PWrl3LGGOsqKiIAWC//fabw88FADtw4IBDzF2N6XLd3qcvQUeWCCGkE7799lvs3bsXxcXF2LdvH5YtW4ZJkyYhMTHR06H1Ddu2ATod0NmO61arrf0nn/TKxyuVSuzZswfLly932hdNoVDYX992222oqanBDz/8gFOnTmHMmDGYNm0alEqlvU1hYSF27tyJXbt2YdeuXTh06BDWr18PAHjzzTeRlpaGpUuXorKyEpWVlYiOjraP6TV69GicPHnSfkp23rx5DrFs27YNQqEQhw8fxpYtW5ykxort27fjjjvuaDMMhY+PDx544AH8+OOPUCqVePPNN/HCCy8gKioKlZWVbfrSudI6BtGlR7eeeOIJrF+/Hjk5ORg5ciTWrVuHTz75BFu2bEFWVhYeffRR3HnnnTh06BAA4Nlnn0V2djZ++OEH5OTk4N1337UP9rpp0yZ89913+PLLL5GXl4fPPvsMcXFxnY6vuzG5RbfLLEIIGUC2bdvGkpKSmEgkYpGRkWzhwoWsrq7O02H1um79F261MpaYyBiH07mjSq0PDse2nNXa47iPHz/OALBvvvnGZbuff/6ZyWQyptfrHaYnJiay9957jzFmO7IkkUjsR5IYY+zvf/87Gz9+vP395MmT2SOPPOKwjhdffJHNmDHDYVpZWRkDwPLy8uzLjR492mWMVVVVDADbuHGj0/nffPMNA8COHz/OGGNs48aN7R5RanX5kaWKigo2ceJEFhkZyQwGg33+zp077cvo9XomkUjYkSNHHNZ17733sgULFjDGGJs9ezZbvHix08986KGH2NSpU5nVyc+3K0eWuhrT5XrjyBINHUAIIZ1w99134+677/Z0GH1TfT1QWNj15RizLadU2oYV6AF2ef+odpw9exYajabN6OTNzc0ovGQb4uLi4OfnZ39/6bhbrtbdmTG9xo4d26lYO7tNXREVFWW/DcioUaPw9ddfO4w2f9VVV9lfFxQUQKfTOQy+CtiORLXe1udvf/sb5s6di9OnT2PGjBmYM2cOJk6cCMB2c+vp06cjOTkZs2bNwo033ogZM2Z0OeauxuQOVCwRQgjpGY2mZ8ur1T0ulpKSksDhcJCbm+uynUajQXh4uMN9+1pdeqquO2NjdXZMr46GrAgODoZCoUBOTo7T+Tk5OeBwOBg0aJDL9Tjz888/QyaTISQkxKEYdBabpuXn+v333yMyMtKhnUgkAgBcf/31KCkpwe7du7F3715MmzYNy5cvx2uvvYYxY8agqKgIP/zwA/bt24d58+YhPT0dX331lf3iiksLwtbR43sakztQsUQIIaRnnBxJ6RInf7S7KiAgADNnzsTmzZvx8MMPtylIGhsboVAoMGbMGFRVVYHP53er/0wroVDY5iqyMWPG4Ouvv0ZcXJzLK9I6wuVyMW/ePHz22Wd44YUXHPotNTc345133sHMmTMREBDQ5XXHx8c7FIWuDB06FCKRCKWlpZg8eXK77YKDg7Fw4UIsXLgQ11xzDf7+97/jtddeAwDIZDLMnz8f8+fPx6233opZs2ZBqVTabw9UWVlpPyLUmfGhOhtTb6MO3oQQQnomMBBITOz66Nwcjm25bvzRd2bz5s2wWCwYN24cvv76a+Tn5yMnJwebNm1CWloaACA9PR1paWmYM2cOfvrpJxQXF+PIkSN4+umncfLkyU5/VlxcHI4fP47i4mLU1dXBarVi+fLlPR7Tq9XatWsRFhaG6dOn44cffkBZWRn+97//YebMmTCZTNi8eXOX1tcdfn5+WLVqFR599FFs27YNhYWFOH36NN566y1s27YNAPDcc8/hP//5DwoKCpCVlYVdu3ZhyJAhAIB//vOf+Pe//43c3FycP38eO3bsQFhYGBQKBXx8fDBhwgR7x+1Dhw7Zxy7raUzuQMUSIYSQnuFwgIce6t6yDz/ca7dASUhIwOnTpzFlyhQ89thjGD58OKZPn46MjAy8++67LaFysHv3blx77bVYvHgxBg8ejNtvvx0lJSUIDQ3t9GetWrUKPB4PQ4cORXBwMEpLSxEREdHjMb1aBQYG4tixY5gyZQruu+8+JCYmYt68eUhMTMSJEyeQkJDQpfV114svvohnn30W69atw5AhQzBr1ix8//33iI+PB2A7wvbkk09i5MiRuPbaa8Hj8bB9+3YAtsLm1VdfxVVXXYWrr74axcXF2L17tz0XW7duhdlsxtixY7FixQq89NJLvRKTO3CYO3qQEUII8Up6vR5FRUWIj4+3D7jZKY2NtpG5m5s7N3wAlwv4+ADl5UAnTwsR0h3d3qcvQUeWCCGE9JxCAXz9te0oUUdHUbhcW7tvvqFCiXgFKpYIIYT0jpkzge+/tx0x4nDanl5rnebjA+zeDXTjMnJCPIGKJUIIIb1n5kzbqbU33gAu71eTkGCbfvEiFUrEq9DQAYQQQnqXQmHruP3QQ7YBJ9Vq2/AAAQG91pmbkCuJiiVCCCHuweHYhhXo4YCThHganYYjhBBCCHGBiiVCCCGEEBeoWCKEEEIIcYGKJUIIIYQQF6hYIoQQQrxMXFwc3njjDU+HMWBQsUQIIaTfqKqqwkMPPYSEhASIRCJER0dj9uzZyMjI6NXPue6667BixYpeXeelnn/+eaSmprY7/8SJE1i2bJnbPp84oqEDCCGE9AvFxcWYNGkSFAoFNmzYgBEjRsBkMuHHH3/E8uXLkZub6+kQ2zAajRAKhV1eLjg42A3RkPbQkSVCCCH9wgMPPAAOh4Nff/0Vc+fOxeDBgzFs2DCsXLkSx44ds7drbGzEkiVLEBwcDJlMhqlTp+Ls2bP2+a1Hdf71r38hLi4Ocrkct99+O9RqNQBg0aJFOHToEN58801wOBxwOBwUFxcDADIzM3H99ddDKpUiNDQUd911F+rq6uzrvu666/Dggw9ixYoVCAoKwsyZM7u1rZefhuNwOPjwww9xyy23QCKRICkpCd99953DMh3FRtpHxRIhhJBOMRrM7T5MJkvn2xrNHbbtKqVSiT179mD58uXw9fVtM19xyQ17b7vtNtTU1OCHH37AqVOnMGbMGEybNg1KpdLeprCwEDt37sSuXbuwa9cuHDp0COvXrwcAvPnmm0hLS8PSpUtRWVmJyspKREdHo7GxEVOnTsXo0aNx8uRJ7NmzB9XV1Zg3b55DLNu2bYNQKMThw4exZcuWLm9re9asWYN58+bh999/x5///Gfccccd9m3qbGzEOToNRwghpFPWrNjR7rzBwyOwcPlk+/u1j38Dk9HitG18UgiWrJxmf7/hme+g0xgc2rz87oIuxVZQUADGGFJSUly2++WXX/Drr7+ipqYGIpEIAPDaa69h586d+Oqrr+z9gKxWKz7++GP4+fkBAO666y5kZGTg5Zdfhlwuh1AohEQiQVhYmH3db7/9NkaPHo21a9fap23duhXR0dE4f/48Bg8eDABISkrCq6++2qXt64xFixZhwQJb3tauXYtNmzbh119/xaxZszodG3GOiiVCCCFejzHWqXZnz56FRqNB4GW3YGlubkZhYaH9fVxcnL1QAoDw8HDU1NR0uO4DBw5AKpW2mVdYWGgvSMaOHdupWLtq5MiR9te+vr6QyWT2mDsbG3GOiiVCCCGdsvqN29qdx+E63iD3qVf/0n7by+6l+/eXbupRXIDtaA2Hw+mwE7dGo0F4eDgOHjzYZt6lp+oEAoHDPA6HA6vV2uG6Z8+ejVdeeaXNvPDwcPtrZ6cJe4OrmDsbG3GOiiVCCCGdIhR1/k+Gu9q2JyAgADNnzsTmzZvx8MMPtylIGhsboVAoMGbMGFRVVYHP5yMuLq7bnycUCmGxOJ5mHDNmDL7++mvExcWBz+9bf177cmzegDp4E0II6Rc2b94Mi8WCcePG4euvv0Z+fj5ycnKwadMmpKWlAQDS09ORlpaGOXPm4KeffkJxcTGOHDmCp59+GidPnuz0Z8XFxeH48eMoLi5GXV0drFYrli9fDqVSiQULFuDEiRMoLCzEjz/+iMWLF7cprDqjubkZZ86ccXhceqqwK3o7toGGiiVCCCH9QkJCAk6fPo0pU6bgsccew/DhwzF9+nRkZGTg3XffBWA7NbV7925ce+21WLx4MQYPHozbb78dJSUlCA0N7fRnrVq1CjweD0OHDkVwcDBKS0sRERGBw4cPw2KxYMaMGRgxYgRWrFgBhUIBLrfrf27Pnz+P0aNHOzzuu+++Lq8HQK/HNtBwWGd7xRFCCOn39Ho9ioqKEB8fD7FY7OlwCOmx3tinqZwkhBBCCHGBiiVCCCGEEBeoWCKEEEIIcYGKJUIIIYQQF6hYIoQQ0gZd+0P6i97Yl6lYIoQQYtc6CrROp/NwJIT0jtZ9+fIRzruChvEkhBBix+PxoFAo7PcUk0gk4Fx+fxJCvABjDDqdDjU1NVAoFODxeN1eF42zRAghxAFjDFVVVWhsbPR0KIT0mEKhQFhYWI+KfiqWCCGEOGWxWGAymTwdBiHdJhAIenREqRUVS4QQQgghLlAHb0IIIYQQF6hYIoQQQghxgYolQgghhBAXqFgihBBCCHGBiiVCCCGEEBeoWCKEEEIIcYGKJUIIIYQQF/4fxKSiiAl3MAEAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nose_cone = vetor_ii.add_nose(\n", + " length=0.224,\n", + " kind=\"vonKarman\",\n", + " position=0.314,\n", + ").draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding trapezoidal fins" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fin_set = vetor_ii.add_trapezoidal_fins(\n", + " 4,\n", + " span=0.105,\n", + " root_chord=0.099,\n", + " tip_chord=0.057,\n", + " position=-0.497,\n", + ").draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The parachute was not added as further studies within the Vetor II Project are needed to correctly model it." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Inertia Details\n", + "\n", + "Rocket Mass: 1.079 kg (without motor)\n", + "Rocket Dry Mass: 1.573 kg (with unloaded motor)\n", + "Rocket Loaded Mass: 1.893 kg\n", + "Rocket Structural Mass Ratio: 0.831\n", + "Rocket Inertia (with unloaded motor) 11: 0.208 kg*m2\n", + "Rocket Inertia (with unloaded motor) 22: 0.208 kg*m2\n", + "Rocket Inertia (with unloaded motor) 33: 0.001 kg*m2\n", + "Rocket Inertia (with unloaded motor) 12: 0.000 kg*m2\n", + "Rocket Inertia (with unloaded motor) 13: 0.000 kg*m2\n", + "Rocket Inertia (with unloaded motor) 23: 0.000 kg*m2\n", + "\n", + "Geometrical Parameters\n", + "\n", + "Rocket Maximum Radius: 0.0325 m\n", + "Rocket Frontal Area: 0.003318 m2\n", + "\n", + "Rocket Distances\n", + "Rocket Center of Dry Mass - Center of Mass without Motor: 0.163 m\n", + "Rocket Center of Dry Mass - Nozzle Exit: 0.437 m\n", + "Rocket Center of Dry Mass - Center of Propellant Mass: 0.357 m\n", + "Rocket Center of Mass - Rocket Loaded Center of Mass: 0.060 m\n", + "\n", + "\n", + "Aerodynamics Lift Coefficient Derivatives\n", + "\n", + "Nose Cone Lift Coefficient Derivative: 2.000/rad\n", + "Fins Lift Coefficient Derivative: 19.130/rad\n", + "\n", + "Center of Pressure\n", + "\n", + "Nose Cone Center of Pressure position: 0.202 m\n", + "Fins Center of Pressure position: -0.536 m\n", + "\n", + "Stability\n", + "\n", + "Center of Mass position (time=0): -0.224 m\n", + "Center of Pressure position (time=0): -0.466 m\n", + "Initial Static Margin (mach=0, time=0): 3.733 c\n", + "Final Static Margin (mach=0, time=burn_out): 4.661 c\n", + "Rocket Center of Mass (time=0) - Center of Pressure (mach=0): 0.243 m\n", + "\n" + ] + } + ], + "source": [ + "vetor_ii.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Rocket Representation and comparison with actual 3D model" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vetor_ii.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![Vetor II's actual 3D Model on SolidWorks](../../data/rockets/vetor_ii/vetor_ii_3d_model.jpeg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Flight\n" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "# Flight\n", + "test_flight = Flight(rocket=vetor_ii, environment=env, rail_length=4)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Initial Conditions\n", + "\n", + "Initial time: 0.000 s\n", + "Position - x: 0.00 m | y: 0.00 m | z: 580.00 m\n", + "Velocity - Vx: 0.00 m/s | Vy: 0.00 m/s | Vz: 0.00 m/s\n", + "Attitude (quaternions) - e0: 0.704 | e1: -0.062 | e2: 0.062 | e3: -0.704\n", + "Euler Angles - Spin φ : 0.00° | Nutation θ: -10.00° | Precession ψ: -90.00°\n", + "Angular Velocity - ω1: 0.00 rad/s | ω2: 0.00 rad/s | ω3: 0.00 rad/s\n", + "Initial Stability Margin: 3.733 c\n", + "\n", + "\n", + "Surface Wind Conditions\n", + "\n", + "Frontal Surface Wind Speed: 0.00 m/s\n", + "Lateral Surface Wind Speed: 0.00 m/s\n", + "\n", + "\n", + "Launch Rail\n", + "\n", + "Launch Rail Length: 4 m\n", + "Launch Rail Inclination: 80.00°\n", + "Launch Rail Heading: 90.00°\n", + "\n", + "\n", + "Rail Departure State\n", + "\n", + "Rail Departure Time: 0.447 s\n", + "Rail Departure Velocity: 30.139 m/s\n", + "Rail Departure Stability Margin: 3.916 c\n", + "Rail Departure Angle of Attack: -0.000°\n", + "Rail Departure Thrust-Weight Ratio: 12.713\n", + "Rail Departure Reynolds Number: 1.282e+05\n", + "\n", + "\n", + "Burn out State\n", + "\n", + "Burn out time: 1.800 s\n", + "Altitude at burn out: 712.530 m (ASL) | 132.530 m (AGL)\n", + "Rocket speed at burn out: 137.107 m/s\n", + "Freestream velocity at burn out: 137.107 m/s\n", + "Mach Number at burn out: 0.406\n", + "Kinetic energy at burn out: 1.478e+04 J\n", + "\n", + "\n", + "Apogee State\n", + "\n", + "Apogee Time: 12.625 s\n", + "Apogee Altitude: 1356.072 m (ASL) | 776.072 m (AGL)\n", + "Apogee Freestream Speed: 19.206 m/s\n", + "Apogee X position: 263.951 m\n", + "Apogee Y position: -0.000 m\n", + "Apogee latitude: -23.2452825°\n", + "Apogee longitude: -51.2298682°\n", + "\n", + "\n", + "Parachute Events\n", + "\n", + "No Parachute Events Were Triggered.\n", + "\n", + "\n", + "Impact Conditions\n", + "\n", + "Time of impact: 26.073 s\n", + "X impact: 486.465 m\n", + "Y impact: 0.000 m\n", + "Altitude impact: 580.000 m (ASL) | 0.000 m (AGL) \n", + "Latitude: -23.2452824°\n", + "Longitude: -51.2276916°\n", + "Vertical velocity at impact: -102.153 m/s\n", + "Number of parachutes triggered until impact: 0\n", + "\n", + "\n", + "Stability Margin\n", + "\n", + "Initial Stability Margin: 3.733 c at 0.00 s\n", + "Out of Rail Stability Margin: 3.916 c at 0.45 s\n", + "Maximum Stability Margin: 4.695 c at 1.80 s\n", + "Minimum Stability Margin: 3.733 c at 0.00 s\n", + "\n", + "\n", + "Maximum Values\n", + "\n", + "Maximum Speed: 138.217 m/s at 1.69 s\n", + "Maximum Mach Number: 0.410 Mach at 1.69 s\n", + "Maximum Reynolds Number: 5.825e+05 at 1.69 s\n", + "Maximum Dynamic Pressure: 1.094e+04 Pa at 1.69 s\n", + "Maximum Acceleration During Motor Burn: 135.075 m/s² at 0.25 s\n", + "Maximum Gs During Motor Burn: 13.774 g at 0.25 s\n", + "Maximum Acceleration After Motor Burn: -0.000 m/s² at 0.00 s\n", + "Maximum Gs After Motor Burn: -0.000 Gs at 0.00 s\n", + "Maximum Stability Margin: 4.695 c at 1.80 s\n", + "\n", + "\n", + "Numerical Integration Settings\n", + "\n", + "Maximum Allowed Flight Time: 600.00 s\n", + "Maximum Allowed Time Step: inf s\n", + "Minimum Allowed Time Step: 0.00e+00 s\n", + "Relative Error Tolerance: 1e-06\n", + "Absolute Error Tolerance: [0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 1e-06, 1e-06, 1e-06, 1e-06, 0.001, 0.001, 0.001]\n", + "Allow Event Overshoot: True\n", + "Terminate Simulation on Apogee: False\n", + "Number of Time Steps Used: 1415\n", + "Number of Derivative Functions Evaluation: 3665\n", + "Average Function Evaluations per Time Step: 2.590\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_flight.info()\n", + "test_flight.plots.trajectory_3d()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison with the original one-dimensional simulator from Vetor II\n", + "\n", + "The Vetor II Project featured its own one-dimensional simulator. While it does not provide spatial trajectory information or account for angle of attack, it allows for a comparison of absolute values of acceleration, velocity, and altitude over time.\n", + "\n", + "\n", + "**Note:** Several complexities of the Vetor II Project, such as the parachute and other parameters, were not considered, which could impact the differences between the results.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Load the one-dimensional simulator data\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "onedimensional_simulation = np.genfromtxt(\n", + " \"../../data/rockets/vetor_ii/vetor_ii_onedimensional_flight_simulation.csv\",\n", + " delimiter=\",\",\n", + " skip_header=1,\n", + ")\n", + "\n", + "onedimensional_simu_time = onedimensional_simulation[:, 0]\n", + "onedimensional_simu_acceleration = onedimensional_simulation[:, 1]\n", + "onedimensional_simu_velocity = onedimensional_simulation[:, 2]\n", + "onedimensional_simu_altitude = onedimensional_simulation[:, 3]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convert to Function objects\n" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "onedimensional_az = Function(\n", + " source=np.column_stack(\n", + " (onedimensional_simu_time, onedimensional_simu_acceleration)\n", + " ),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Acceleration (m/s²)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")\n", + "\n", + "onedimensional_vz = Function(\n", + " source=np.column_stack((onedimensional_simu_time, onedimensional_simu_velocity)),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Vertical velocity (m/s)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")\n", + "\n", + "onedimensional_z = Function(\n", + " source=np.column_stack((onedimensional_simu_time, onedimensional_simu_altitude)),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Altitude above ground level (m)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Get the simulated results\n" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "simulated_z = test_flight.z - env.elevation\n", + "simulated_vz = test_flight.vz\n", + "simulated_az = test_flight.az\n", + "simulated_t_final = test_flight.t_final\n", + "simulated_apogee = test_flight.apogee - env.elevation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plots comparison\n" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(\n", + " onedimensional_simu_time,\n", + " onedimensional_simu_altitude,\n", + " label=\"One-dimensional simulated flight data\",\n", + ")\n", + "plt.plot(simulated_z[:, 0], simulated_z[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Altitude (m)\")\n", + "plt.ylim(0, round(simulated_apogee, -2))\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(\n", + " onedimensional_simu_time,\n", + " onedimensional_simu_velocity,\n", + " label=\"One-dimensional simulated flight data\",\n", + ")\n", + "plt.plot(simulated_vz[:, 0], simulated_vz[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Vertical velocity (m/s)\")\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(\n", + " onedimensional_simu_time,\n", + " onedimensional_simu_acceleration,\n", + " label=\"One-dimensional simulated flight data\",\n", + ")\n", + "plt.plot(simulated_az[:, 0], simulated_az[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Vertical acceleration (m/s^2)\")\n", + "# plt.ylim()\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While the one-dimensional simulator from the Vetor II Project is much simpler and lacks many advanced features, such as Monte Carlo simulations and detailed aerodynamic modeling, it helps to reinforce the accuracy of RocketPy in predicting key flight metrics, since it is an external and independent validation source." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +}