diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000000000000000000000000000000000000..ab00fc5229ee6c58ed4b20e6fc8c46333169a2df --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ + + .ipynb_checkpoints/ diff --git a/Ejercicio1_tarea03.ipynb b/Ejercicio1_tarea03.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..9e5b63966e1aed8ebd10e6578766b5553482a5e0 --- /dev/null +++ b/Ejercicio1_tarea03.ipynb @@ -0,0 +1,145 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Lcdo. Luis Hernández - Universidad Central de Venezuela\n", + "\n", + "*Tarea 03 Módulo de Datos\n", + "*Ejercicio 1\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El diagrama de Hertzsprung-Russell\n", + "\n", + "- Hacia 1910 Ejnar Herzsprung y Henry Norris Russell estudiaron la relación entre magnitudes absolutas y tipos espectrales de las estrellas. Este estudio condujo al famoso diagrama H-R, herramienta fundamental para el estudio de la evolución estelar.\n", + "\n", + "* Se observa que las estrellas no se distribuyen aleatoriamente en dicho diagrama sino que tienden a agruparse en ciertas regiones que se denominan:\n", + "\n", + "∗ Secuencia Principal: Muchas estrellas caen sobre una diagonal que va desde el extremo superior izquierdo de las estrellas muy luminosas blanco-azuladas, hasta el extremo inferior derecho de las enanas rojas.\n", + "\n", + "∗ Gigantes rojas: Son estrellas de coloración rojiza m´as luminosas que las de similares colores ubicadas sobre la Secuencia Principal.\n", + "\n", + "∗ Supergigantes rojas: Son estrellas de coloración rojiza o amarilla, mucho más luminosas que las gigantes rojas.\n", + "\n", + "∗ Enanas blancas: Son estrellas muy débiles pero de temperaturas superficiales altas (tÃpicas Ts ∼ 10000 K), de ahi su coloración blancuzca. Son muy débiles por ser de tamaËœnos muy pequeËœnos." + ] + }, + { + "cell_type": "code", + "execution_count": 226, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "import csv\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 227, + "metadata": {}, + "outputs": [], + "source": [ + "#abrimos y leemos los archivos\n", + "dwarfs = pd.read_csv('data/dwarfs.csv')\n", + "medias = pd.read_csv('data/ms.csv')\n", + "giants = pd.read_csv('data/giants.txt', sep=' ')\n", + "supergiants = pd.read_csv('data/supergiants.txt', sep=' ')\n", + "#colocamos los datos en un solo dataframe\n", + "dataframes = pd.concat([dwarfs,giants,medias,supergiants])" + ] + }, + { + "cell_type": "code", + "execution_count": 228, + "metadata": {}, + "outputs": [], + "source": [ + "temp = dataframes.temp\n", + "lum = dataframes.lum\n", + "Rad = dataframes.radius\n", + "#asignamos los datos de cada columna" + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#creamos el grafico \n", + "plt.figure(figsize = (12,8)) #tama;o del grafico\n", + "plt.title('Diagrama de Hertzsprung-Russell', fontsize = 16, fontweight = 'bold') #titulo del grafico\n", + "#titulo de los ejes\n", + "plt.xlabel('Temperatura (K)') \n", + "plt.ylabel('Luminosidad (L$_{lum}$)')\n", + "#limites de los ejes\n", + "plt.xlim(14000, 1500) #eje x invertido\n", + "plt.ylim(0.000001,100000000)\n", + "plt.yscale('log') #eje y en escala logaritmica\n", + "\n", + "#texto dentro del gráfico para cada grupo de estrellas\n", + "plt.text(12000, 9000000, 'Gigantes azules',fontsize = 14)\n", + "plt.text(5200, 9000000, 'Supergigantes rojas', fontsize = 14)\n", + "plt.text(5200, 500, 'Gigantes rojas', fontsize = 14)\n", + "plt.text(13000, 8, 'Secuencia principal', fontsize = 14)\n", + "plt.text(9500, 0.005, 'Enanas blancas', fontsize = 14)\n", + "\n", + "plt.scatter(temp, lum, Rad*25, temp, edgecolors = 'k', cmap = 'RdYlBu')\n", + "\n", + "plt.show()" + ] + }, + { + "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 +}