mirror of
https://github.com/tbamud/tbamud.git
synced 2025-09-21 21:40:49 +02:00
81 lines
No EOL
86 KiB
Text
81 lines
No EOL
86 KiB
Text
{
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"nbformat": 4,
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"nbformat_minor": 0,
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"metadata": {
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"colab": {
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"provenance": [],
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"authorship_tag": "ABX9TyOj1yqYrLX9mLbUuHL9DP3T",
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"include_colab_link": true
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},
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"kernelspec": {
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"name": "python3",
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"display_name": "Python 3"
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},
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"language_info": {
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"name": "python"
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}
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},
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"id": "view-in-github",
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"colab_type": "text"
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},
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"source": [
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"<a href=\"https://colab.research.google.com/github/tbamud/tbamud/blob/master/power_curve.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/",
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"height": 569
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},
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"id": "X9G-1-Tm9yk1",
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"outputId": "31c04ccd-06e7-4319-aa70-2141971ea984"
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},
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"outputs": [
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{
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"output_type": "display_data",
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"data": {
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"text/plain": [
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"<Figure size 800x600 with 1 Axes>"
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],
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"image/png": 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\n"
|
|
},
|
|
"metadata": {}
|
|
}
|
|
],
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np\n",
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"\n",
|
|
"# Simulated power curve data\n",
|
|
"airspeed = np.linspace(20, 200, 100) # Airspeed in knots\n",
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"power_required = 10000 / airspeed + 0.01 * airspeed**2 # Simplified model: induced + parasitic drag\n",
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"\n",
|
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"# Create the plot\n",
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"plt.figure(figsize=(8, 6))\n",
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"plt.plot(airspeed, power_required, label=\"Power Required\", color=\"blue\")\n",
|
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"plt.axvline(x=80, color=\"green\", linestyle=\"--\", label=\"Minimum Power Point\")\n",
|
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"plt.axvspan(20, 80, alpha=0.2, color=\"red\", label=\"Back Side (High Drag)\")\n",
|
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"plt.axvspan(80, 200, alpha=0.2, color=\"green\", label=\"Ahead of Power Curve\")\n",
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"\n",
|
|
"# Annotations\n",
|
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"plt.text(50, 400, \"High Induced Drag\\n(Risk of Stall)\", fontsize=10, color=\"red\")\n",
|
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"plt.text(120, 200, \"Efficient Operation\\n(Excess Power)\", fontsize=10, color=\"green\")\n",
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"\n",
|
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"# Plot settings\n",
|
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"plt.title(\"Power Curve: Staying Ahead\", fontsize=14)\n",
|
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"plt.xlabel(\"Airspeed (knots)\", fontsize=12)\n",
|
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"plt.ylabel(\"Power Required (arbitrary units)\", fontsize=12)\n",
|
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"plt.grid(True)\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
]
|
|
} |