{ "metadata": { "name": "", "signature": "sha256:256bb265a36b3db1fb1980445647e27376109a73c3bd5f273384bc7a656e6717" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "you can access the sql query code, the data retrieved, the python codes used and the ipython notebooks mentioned here with on the [github reposity here](https://github.com/rahulporuri/astro_data_projects/tree/master/quasar_coordinates)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "!ls\n", "# the files in the github repository are" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "gal_coordinates_plot.py MyTable_rahul.poruri.csv quasar_coordinates.ipynb quasars_coordinates_galactic.png quasars_coordinates_ra,dec.png sdss_coverage.jpg sql_query\r\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "sql query request\n", "===\n", "```\n", "select\n", "plateX.plate, plateX.mjd, \n", "PhotoPrimary.ra, PhotoPrimary.dec, PhotoPrimary.l, PhotoPrimary.b, PhotoPrimary.ObjID, \n", "specObj.fiberID, specObj.z into mydb.MyTable from PhotoPrimary, specObj, plateX\n", "\n", "where\n", "specObj.bestObjid = PhotoPrimary.ObjID \n", "AND plateX.plateID = specObj.plateID \n", "AND specObj.class = 'qso' \n", "AND specObj.zWarning = 0 \n", "AND PhotoPrimary.modelMag_u < 22.3 \n", "AND PhotoPrimary.modelMag_g < 22.6 \n", "AND PhotoPrimary.modelMag_r < 22.7 \n", "AND PhotoPrimary.modelMag_i < 22.4 \n", "AND PhotoPrimary.modelMag_z < 20.5\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "you can submit the sql query [here](http://skyserver.sdss.org/dr12/en/tools/search/sql.aspx) at the SDSS sql query page." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "data = [line.split(',') for line in open('MyTable_rahul.poruri.csv')]\n", "# a .csv file has values or columns seperated by commas" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# the data format in the .csv file\n", "print data[0]\n", "print data[1]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "['plate', 'mjd', 'ra', 'dec', 'l', 'b', 'ObjID', 'fiberID', 'z\\n']\n", "['339', '51692', '196.240031499488', '-1.23006495320075', '310.018771055342', '61.4554170817091', '1237648702972100785', '413', '0.4322039\\n']\n" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "equatorial coordinates of the quasars\n", "===" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#ra = np.zeros(len(data))\n", "#dec = np.zeros(len(data))\n", "ra, dec = [], []\n", "for i in range(1,len(data)):\n", " temp = float(data[i][2])\n", " temp1 = float(data[i][3])\n", " ra.append(temp)\n", " dec.append(temp1)\n", " #ra[i] = float(temp)\n", " #dec[i] = float(temp1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "ra = np.asarray(ra)\n", "dec = np.asarray(dec)\n", "ra = (ra-180)*(np.pi/180)\n", "dec = dec*(np.pi/180)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "raw", "metadata": {}, "source": [ "ra is from -np.pi to np.pi and dec is from -np.pi/2 to np.pi/2" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(111,projection='aitoff')\n", "# aitoff, mollweide and hammer are 3 of the options\n", "plt.grid(True)\n", "plt.scatter(ra,dec,s=5)\n", "plt.title('Quasars from the SDSS DR10')\n", "plt.xlabel('ra')\n", "plt.ylabel('dec')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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EgwvAQbD3L4FXJUsBZ/WcCE79DACF+vxm8MI1EQDl4PCRJjCal6PLu8FLNQC8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srX/hYD+BYyWkujiIgOENHbEyZMqHPJHwjkIDMzBjNnZjYaS6Q2+v7770Oyw2gILViwABUVFWEv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\njrvvvtu9c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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "for a brief theory on how the conversion between equatorial and galactic coordinates works, refer [here](http://physics.stackexchange.com/questions/88663/converting-between-galactic-and-ecliptic-coordinates)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "galactic coordinates of the quasars\n", "===" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#ra = np.zeros(len(data))\n", "#dec = np.zeros(len(data))\n", "l, b = [], []\n", "for i in range(1,len(data)):\n", " temp = float(data[i][4])\n", " temp1 = float(data[i][5])\n", " l.append(temp)\n", " b.append(temp1)\n", " #ra[i] = float(temp)\n", " #dec[i] = float(temp1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "b = np.asarray(b)\n", "l = np.asarray(l)\n", "l = (l-180)*(np.pi/180)\n", "b = b*(np.pi/180)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(111,projection='aitoff')\n", "plt.grid(True)\n", "plt.scatter(l,b,s=5)\n", "plt.title('Quasars from the SDSS DR10')\n", "plt.xlabel('galactic longitude')\n", "plt.ylabel('galactic latitude')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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kbDNQ+Kc+mfcyNAT2JaIG32rz+zKxtDdEhcT9G4uSbV7zyS2wDvSZbbP52kcU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\ntMQMaq/LrFcGd7VsN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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "now we can use the coordinate transformation utilities available in the astropy library. you can refer to the docs [here](http://astropy.readthedocs.org/en/latest/coordinates/) or [here](http://docs.astropy.org/en/v0.2.1/coordinates/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "gnuplot code\n", "===\n", "```\n", "gnuplot> set term wxt\n", "gnuplot> set datafile separator ','\n", "gnuplot> plot 'MyTable_rahul.poruri.csv' u 3:4 or 5:6 for a simple pllot of (ra, dec) or (l, b).\n", "```\n", "we figure out how to do projections in gnuplot!" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }