{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Python in Astronomy\n", "\n", "## Pandas\n", "\n", "
\n", "何勃亮\n", "
\n", "
\n", "中国科学院国家天文台 国家天文科学数据中心\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('data/dr1.sample', delimiter='|')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "
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4A4EUihUrR3JyGW64wXaXXrVqFdFoGsHghXi91ZESiERq4fcXwzTT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dIck+kuv3GbQ/v2Pa7p+5cuXWLs2InUrt2SoKBY7PaOCDEeszmc6OgyTJz4cBGOri1btqCqoVit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\nY7GwsLCwyFMsx2JhYWFhkaf8P6tOX1N69sQ1AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy import units as u\n", "\n", "from astropy.coordinates import Angle\n", "\n", "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.scatter(data['ra'], data['dec'], s = data['mag2'])\n", "\n", "xticks = axes.get_xticks()\n", "yticks = axes.get_yticks()\n", "\n", "xt = [\"$%.1f^{\\circ}$\"%n for n in xticks.tolist()]\n", "yt = [\"$%.1f^{\\circ}$\"%n for n in yticks.tolist()]\n", "\n", "xt,yt\n", "axes.set_xticklabels(xt)\n", "axes.set_yticklabels(yt)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }