{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "geoPack: geographic/geometric module\n", "==\n", "***\n", "This Notebook presents the functions contained in the geoPack submodule of the utils module. Functions in this submodule are designed to calculate geographic position, account for the oblateness of the Earth, convert between simple geometric/geographic coordinate systems...\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "from davitpy.utils.geoPack import *\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Declare point of origin\n", "lat = 40.\n", "lon = -75.\n", "az = -20.\n", "el = 15.\n", "alt = 100.\n", "dist = 150.\n", "Rav = 6370." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Geocentric latitude: 39.8106°N, longitude: -75.0000°E\n", "Earth radius 6369.3676 km\n", "Geodetic latitude: 40.0000°N, longitude: -75.0000°E\n", "Earth radius 6369.3676 km\n" ] } ], "source": [ "# Test geodToGeoc\n", "(gclat, gclon, Re) = geodToGeoc(lat, lon)\n", "print 'Geocentric latitude: {:5.4f}'.format(gclat)+unichr(176)+'N, longitude: {:5.4f}'.format(gclon)+unichr(176)+'E'\n", "print 'Earth radius {:5.4f} km'.format(Re)\n", "(gdlat, gdlon, Re) = geodToGeoc(gclat, gclon, inverse=True)\n", "print 'Geodetic latitude: {:5.4f}'.format(gdlat)+unichr(176)+'N, longitude: {:5.4f}'.format(gdlon)+unichr(176)+'E'\n", "print 'Earth radius {:5.4f} km'.format(Re)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Geocentric latitude: 39.8106°N, longitude: -75.0000°E\n", "Geocentric Azimuth: -19.9828°, elevation: 14.8220°E\n", "Earth radius 6369.3676 km\n", "Geodetic latitude: 40.0000°N, longitude: -75.0000°E\n", "Geodetic Azimuth: -20.0000°, elevation: 15.0000°E\n", "Earth radius 6369.3676 km\n" ] } ], "source": [ "# Test geodToGeocAzEl\n", "(gclat, gclon, Re, gaz, gel) = geodToGeocAzEl(lat,lon,az,el)\n", "print 'Geocentric latitude: {:5.4f}'.format(gclat)+unichr(176)+'N, longitude: {:5.4f}'.format(gclon)+unichr(176)+'E'\n", "print 'Geocentric Azimuth: {:5.4f}'.format(gaz)+unichr(176)+', elevation: {:5.4f}'.format(gel)+unichr(176)+'E'\n", "print 'Earth radius {:5.4f} km'.format(Re)\n", "(gdlat, gdlon, Re, gdaz, gdel) = geodToGeocAzEl(gclat,gclon,gaz,gel,inverse=True)\n", "print 'Geodetic latitude: {:5.4f}'.format(gdlat)+unichr(176)+'N, longitude: {:5.4f}'.format(gdlon)+unichr(176)+'E'\n", "print 'Geodetic Azimuth: {:5.4f}'.format(gdaz)+unichr(176)+', elevation: {:5.4f}'.format(gdel)+unichr(176)+'E'\n", "print 'Earth radius {:5.4f} km'.format(Re)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X: 1286.2121 km; Y: -4800.2089 km; Z: 4142.0249 km\n", "Earth radius 6369.3676 km\n", "Geocentric latitude: 39.8106°N, longitude: -75.0000°E\n", "Geodetic latitude: 40.0000°N, longitude: -75.0000°E\n", "Altitude 100.0000 km\n", "Earth radius 6369.3676 km\n" ] } ], "source": [ "# Test gspToGcar\n", "(gclat, gclon, Re) = geodToGeoc(lat, lon)\n", "(X, Y, Z) = gspToGcar(gclat, gclon, Re+alt)\n", "print 'X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km'.format(X,Y,Z)\n", "print 'Earth radius {:5.4f} km'.format(Re)\n", "(gclat, gclon, rho) = gspToGcar(X, Y, Z, inverse=True)\n", "print 'Geocentric latitude: {:5.4f}'.format(gclat)+unichr(176)+'N, longitude: {:5.4f}'.format(gclon)+unichr(176)+'E'\n", "(gdlat, gdlon, Re) = geodToGeoc(gclat, gclon, inverse=True)\n", "print 'Geodetic latitude: {:5.4f}'.format(gdlat)+unichr(176)+'N, longitude: {:5.4f}'.format(gdlon)+unichr(176)+'E'\n", "print 'Altitude {:5.4f} km'.format(rho-Re)\n", "print 'Earth radius {:5.4f} km'.format(Re)" ] }, 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"outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Earth radius 6369.3676 km\n", "Global--> X: 1386.2121 km; Y: -4800.2089 km; Z: 4242.0249 km; |P| = 6554.2631\n", "Local--> X: 96.5926 km; Y: 60.2456 km; Z: 83.9068 km; |P| = 141.4214\n", "Global--> X: 1386.2121 km; Y: -4800.2089 km; Z: 4242.0249 km; |P| = 6554.2631\n", "Geodetic latitude: 40.0000°N, longitude: -75.0000°E\n", "Altitude 100.0000 km\n" ] } ], "source": [ "# Test gcarToLcar\n", "(gclat, gclon, Re) = geodToGeoc(lat, lon)\n", "print 'Earth radius {:5.4f} km'.format(Re)\n", "(gX, gY, gZ) = gspToGcar(gclat, gclon, Re+alt)\n", "gX,gY,gZ = gX+100.,gY+0.,gZ+100. \n", "print 'Global--> X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km; |P| = {:5.4f}'.format(gX,gY,gZ,sqrt(gX**2+gY**2+gZ**2))\n", "(lX, lY, lZ) = gcarToLcar(gX, gY, gZ, gclat, gclon, Re+alt)\n", "print 'Local--> X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km; |P| = {:5.4f}'.format(lX,lY,lZ,sqrt(lX**2+lY**2+lZ**2))\n", "(gX, gY, gZ) = gcarToLcar(lX, lY, lZ, gclat, gclon, Re+alt, inverse=True)\n", "print 'Global--> X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km; |P| = {:5.4f}'.format(gX,gY,gZ,sqrt(gX**2+gY**2+gZ**2))\n", "gX,gY,gZ = gX-100.,gY-0.,gZ-100. \n", "(gclat, gclon, rho) = gspToGcar(gX, gY, gZ, inverse=True)\n", "(gdlat, gdlon, Re) = geodToGeoc(gclat, gclon, inverse=True)\n", "print 'Geodetic latitude: {:5.4f}'.format(gdlat)+unichr(176)+'N, longitude: {:5.4f}'.format(gdlon)+unichr(176)+'E'\n", "print 'Altitude {:5.4f} km'.format(rho-Re)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAABQgAAAHwCAYAAADq7oIJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl4HNWVN/7vudUtWbYkS+qWbXm3wTYY2yzG2CwOEIdA\n", "HGIMJhCYxGZLJjiEZAiZJMP7JmSemTCZbJD5/X4EhrwTmJBMeEOGhIRhJgG8gfeVzWCMd8mL5EVt\n", "WVJ31T2/P+q23QgtLWtp2f39PI+e7r5dXX1bGFXXqXPPEVUFERERERERERER5SeT6wkQERERERER\n", 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ax.plot3D([gX,gX],[0,gY],[gZ,gZ],'k--')\n", " ax.plot3D([0,0],[0,gY],[gZ,gZ],'k--')\n", " ax.plot3D([gX,gX],[0,gY],[0,0],'k--')\n", " ax.plot3D([0,gX],[gY,gY],[gZ,gZ],'k--')\n", " ax.plot3D([0,gX],[0,0],[gZ,gZ],'k--')\n", " ax.plot3D([0,gX],[gY,gY],[0,0],'k--')\n", " ax.plot3D([gX,gX],[gY,gY],[0,gZ],'k--')\n", " ax.plot3D([0,0],[gY,gY],[0,gZ],'k--')\n", " ax.plot3D([gX,gX],[0,0],[0,gZ],'k--')\n", " ax.scatter3D(gX,gY,gZ,marker='o',c='k',s=40)\n", " ax.set_xlim([-Rav,Rav])\n", " ax.set_ylim([-Rav,Rav])\n", " ax.set_zlim([-Rav,Rav])\n", " # Plot local axis\n", " (xax, xay, xaz) = gcarToLcar(llim, 0., 0., gclat, gclon, Re+alt, inverse=True)\n", " (yax, yay, yaz) = gcarToLcar(0, llim, 0, gclat, gclon, Re+alt, inverse=True)\n", " (zax, zay, zaz) = gcarToLcar(0, 0, llim, gclat, gclon, Re+alt, inverse=True)\n", " ax.plot3D([gX,xax],[gY,xay],[gZ,xaz],'b')\n", " ax.plot3D([gX,yax],[gY,yay],[gZ,yaz],'g')\n", " ax.plot3D([gX,zax],[gY,zay],[gZ,zaz],'r')\n", "\n", "# Test gcarToLcar (graphic)\n", "fig = plt.figure(figsize(18,7))\n", "llim = 1000.\n", "\n", "# Plot global position (Longitude plane)\n", "ax = fig.add_subplot(131, projection='3d')\n", "set_axes_3d(ax)\n", "ax.view_init(0,lon)\n", "\n", "# Plot global position (Longitude+90. plane)\n", "ax = fig.add_subplot(132, projection='3d')\n", "set_axes_3d(ax)\n", "ax.view_init(0,lon+90.)\n", "\n", "# Plot global position (Top plane)\n", "ax = fig.add_subplot(133, projection='3d')\n", "set_axes_3d(ax)\n", "ax.view_init(90,lon)\n", "\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Earth radius 6369.3676 km\n", "Local--> X: -49.5549 km; Y: 136.2786 km; Z: 38.3726 km |P| = 150.0000\n", "Global--> X: 1223.3922 km; Y: -4757.2272 km; Z: 4271.2775 km |P| = 6509.3556\n", "Geodetic latitude: 41.1995°N, longitude: -75.5780°E\n", "Altitude 140.4298 km\n", "Local Azimuth: -19.9828°, elevation: 14.8220°E\n", "Global Azimuth: -20.0001°, elevation: 15.0012°E\n", "Distance 150.0000 km\n" ] } ], "source": [ "# Test lspToLcar\n", "(gclat, gclon, Re, gaz, gel) = geodToGeocAzEl(lat,lon,az,el)\n", "print 'Earth radius {:5.4f} km'.format(Re)\n", "(lX, lY, lZ) = lspToLcar(gaz, gel, dist)\n", "print 'Local--> X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km |P| = {:5.4f}'.format(lX,lY,lZ,sqrt(lX**2+lY**2+lZ**2))\n", "(gX, gY, gZ) = gcarToLcar(lX, lY, lZ, gclat, gclon, Re+alt, inverse=True)\n", "print 'Global--> X: {:5.4f} km; Y: {:5.4f} km; Z: {:5.4f} km |P| = {:5.4f}'.format(gX,gY,gZ,sqrt(gX**2+gY**2+gZ**2))\n", "(gclat, gclon, rho) = gspToGcar(gX, gY, gZ, inverse=True)\n", "(gdlat, gdlon, Re) = geodToGeoc(gclat, gclon, inverse=True)\n", "print 'Geodetic latitude: {:5.4f}'.format(gdlat)+unichr(176)+'N, longitude: {:5.4f}'.format(gdlon)+unichr(176)+'E'\n", "print 'Altitude {:5.4f} km'.format(rho-Re)\n", "(laz, lel, ldist) = lspToLcar(lX, lY, lZ, inverse=True)\n", "print 'Local Azimuth: {:5.4f}'.format(laz)+unichr(176)+', elevation: {:5.4f}'.format(lel)+unichr(176)+'E'\n", "(gclat, gclon, Re, gdaz, gdel) = geodToGeocAzEl(gclat,gclon,laz,lel,inverse=True)\n", "print 'Global Azimuth: {:5.4f}'.format(gdaz)+unichr(176)+', elevation: {:5.4f}'.format(gdel)+unichr(176)+'E'\n", "print 'Distance {:5.4f} km'.format(ldist)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAjwAAAI8CAYAAAD1D3GaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmcFNXV//+5VT37yrAWGlAMIAY1GkOCMUo0LkRARcS4\n", "Lxj1iZr4RI2a+P1pFs3yJE8WH2NQcRfEXVFccY2iJBrjAsjODFAM68z00N3TS93fH7eKqSmqe3qp\n", "7q5bnPfrNa8Zpntu3W66qz59zuecwzjnIAiCIAiCCDJKuTdAEARBEARRbEjwEARBEAQReEjwEARB\n", "EAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQR\n", "eEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjwEARBEAQReEjw\n", 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"ax.plot3D([0,lX],[0,0],[lZ,lZ],'k--')\n", "ax.plot3D([0,lX],[lY,lY],[0,0],'k--')\n", "ax.plot3D([lX,lX],[lY,lY],[0,lZ],'k--')\n", "ax.plot3D([0,0],[lY,lY],[0,lZ],'k--')\n", "ax.plot3D([lX,lX],[0,0],[0,lZ],'k--')\n", "ax.scatter3D(lX,lY,lZ,marker='o',c='k',s=40)\n", "ax.set_xlim([-llim,llim])\n", "ax.set_ylim([-llim,llim])\n", "ax.set_zlim([-llim,llim])\n", "ax.view_init(20,-20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Distant point latitude: 41.1995°N, longitude: -75.5780°E, altitude 140.4298 km\n", "Pointing Azimuth: -20.0000°, elevation: 15.0000°E and distance: 150.0000\n" ] } ], "source": [ "# Test calcDistPnt\n", "dict = calcDistPnt(lat, lon, alt, \n", " dist=dist, el=el, az=az)\n", "print 'Distant point latitude: {:5.4f}'.format(dict['distLat'])+unichr(176)+ \\\n", " 'N, longitude: {:5.4f}'.format(dict['distLon'])+unichr(176)+ \\\n", " 'E, altitude {:5.4f} km'.format(dict['distAlt'])\n", "\n", "dict = calcDistPnt(lat, lon, alt, \n", " distLat=dict['distLat'], distLon=dict['distLon'], distAlt=dict['distAlt'])\n", "print 'Pointing Azimuth: {:5.4f}'.format(dict['az'])+unichr(176)+', elevation: {:5.4f}'.format(dict['el'])+unichr(176)+'E and distance: {:5.4f}'.format(dict['dist'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.3" } }, "nbformat": 4, "nbformat_minor": 0 }