From d5fdd11802a1cb3446d61abc29c96d12e44689fb Mon Sep 17 00:00:00 2001 From: Aldo Ignacio Arriola Cordova <arriolaa@jupyterMiLAB> Date: Mon, 8 Feb 2021 23:51:33 -0500 Subject: [PATCH] diagramas Hertzsprung -Russell --- .gitignore | 1 + ENTREGA.ipynb | 200 +++++++++++++++++++++++++++++++++++++++++ Result-HR-diagram.png | Bin 0 -> 152529 bytes Result-HR-diagram_.png | Bin 0 -> 44661 bytes 4 files changed, 201 insertions(+) create mode 100644 .gitignore create mode 100644 ENTREGA.ipynb create mode 100644 Result-HR-diagram.png create mode 100644 Result-HR-diagram_.png diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..87620ac --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.ipynb_checkpoints/ diff --git a/ENTREGA.ipynb b/ENTREGA.ipynb new file mode 100644 index 0000000..4bba02c --- /dev/null +++ b/ENTREGA.ipynb @@ -0,0 +1,200 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ejercicio 1\n", + "\n", + "### Alumno: Aldo Arriola\n", + "\n", + "#### Solución\n", + "para este problema se hará uso de la librerÃa matplotlib en conjunto con numpy.\n", + "Debemos empezar por cargar los datos a partir de la lectura de los ficheros .csv y .txt." + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from matplotlib.collections import EllipseCollection\n", + "import matplotlib" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dwarfs.csv giants.txt\tms.csv\tsupergiants.txt\r\n" + ] + } + ], + "source": [ + "!ls data" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "metadata": {}, + "outputs": [], + "source": [ + "data_dwarfs = np.loadtxt(\"data/dwarfs.csv\", comments=\"#\", delimiter=\",\", skiprows=1)\n", + "data_giants = np.loadtxt(\"data/giants.txt\", comments=\"#\", delimiter=\" \", skiprows=1)\n", + "data_ms = np.loadtxt(\"data/ms.csv\", comments=\"#\", delimiter=\",\", skiprows=1)\n", + "data_supergiants = np.loadtxt(\"data/supergiants.txt\", comments=\"#\", delimiter=\" \", skiprows=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Plot para segmentar por leyenda el tipo de estrella" + ] + }, + { + "cell_type": "code", + "execution_count": 148, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7f27370d8f98>" + ] + }, + "execution_count": 148, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1008x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(14,10))\n", + "labels = [\"Dwarfs\", \"Giants\", \"Main Sequence\", \"Supergiants\"]\n", + "for k, data in enumerate([data_dwarfs, data_giants, data_ms, data_supergiants]):\n", + " ax.scatter(data[:,1], data[:,0], s=5*data[:,2],label=labels[k])\n", + "plt.yscale(\"log\")\n", + "ax.invert_xaxis()\n", + "ax.set_title(\"Labeled type of star\")\n", + "ax.set_xlabel(\"Temperature ($K$)\")\n", + "ax.set_ylabel(\"Luminosity ($L_{sun}$)\")\n", + "plt.legend()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 149, + "metadata": {}, + "outputs": [], + "source": [ + "# Agrupamos todos los conjutos de datos de cada tpo de estrella\n", + "data = np.concatenate((data_dwarfs, data_giants, data_ms, data_supergiants), axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 150, + "metadata": {}, + "outputs": [], + "source": [ + "# Colormap para representar la temperatura\n", + "colormap=plt.get_cmap(\"jet_r\")" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "matplotlib.rcParams.update({'font.size': 16})\n", + "\n", + "fig, ax = plt.subplots(figsize=(12,10))\n", + "ax.scatter(data[:, 1], data[:, 0], s=10*data[:, 2], c=data[:, 1], cmap=colormap, edgecolor=\"k\",linewidth=0.2)\n", + "\n", + "plt.yscale(\"log\")\n", + "ax.invert_xaxis()\n", + "ax.set_xlabel(\"Temperature (K)\", fontsize=16)\n", + "ax.set_ylabel(\"Luminosity ($L_{sun}$)\", fontsize=16)\n", + "\n", + "ax.text(0.85,0.4, \"Giant\", weight=\"bold\",transform=ax.transAxes)\n", + "ax.text(0.3,0.4, \"Main Sequence\", weight=\"bold\",transform=ax.transAxes)\n", + "ax.text(0.6,0.9, \"Supergiants\", weight=\"bold\",transform=ax.transAxes)\n", + "ax.text(0.7,0.1, \"Dwarfs\", weight=\"bold\",transform=ax.transAxes)\n", + "ax.set_title(\"HR-diagram\")\n", + "plt.savefig(\"Result-HR-diagram_.png\", format=\"png\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Result-HR-diagram.png b/Result-HR-diagram.png new file mode 100644 index 0000000000000000000000000000000000000000..2e74d74fce571a332cfae03ecad14fa939db4a55 GIT binary patch literal 152529 zcmeEuhg(zW_HNWsN3onaDhw##D1uUzDm6L|A|2@+l_p&Y#ZXmLMiEe|)F8dLPz)_9 zN+*%tiAo8*g%(P3*Jkwm?tPy72i)gA#~Ei($==`ozO~-<zVBMw=UN&{hYxZbM4?cJ 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