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{
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 "cells": [
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  {
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
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    "# Two Line Elements Propagation"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
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    "## Authors\n",
    "Petrus Hyvönen, SSC\n",
    "\n",
    "## Learning Goals\n",
    "* *Propagate an TLE*: Specify and read a TLE and propagate it with the orekit TLE propagator\n",
    "* *Representation of ground station*: How to represent ground points\n",
    "* *Elementary plotting in Python*: Simple ways to plot data\n",
    "\n",
    "## Keywords\n",
    "orekit, TLE, ground station\n",
    "\n",
    "## Summary\n",
    "\n",
    "This small tutorial is a first step to a real propagation of a satellite orbit\n",
    "based on the common TLE format. The results are propagated in an inertial coordinate\n",
    "system and then converted to a topocentric coordinate system, such as a ground station.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Set up "
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 3,
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   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
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   "metadata": {},
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   "source": [
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    "## Initialize Orekit "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import orekit and set up the java virtual machine."
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 4,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "import orekit\n",
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    "vm = orekit.initVM()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Read the orekit-data file with basic paramters. This file is assumed to be in the current directory."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 5,
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   "metadata": {},
   "outputs": [],
   "source": [
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    "from orekit.pyhelpers import setup_orekit_curdir\n",
    "setup_orekit_curdir()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are set up to import and use objects from the orekit library."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 6,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "from org.orekit.frames import FramesFactory, TopocentricFrame\n",
    "from org.orekit.bodies import OneAxisEllipsoid, GeodeticPoint\n",
    "from org.orekit.time import TimeScalesFactory, AbsoluteDate, DateComponents, TimeComponents\n",
    "from org.orekit.utils import IERSConventions, Constants\n",
    "\n",
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    "from org.orekit.propagation.analytical.tle import TLE, TLEPropagator"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 7,
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   "metadata": {},
   "outputs": [],
   "source": [
    "from math import radians, pi\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting up the TLE "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Specify the two line elements that describes the orbit of the satellite as strings. Here these are specified directly, in a larger example these would likely be fetched from a file or from an on-line service."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 8,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "#SPOT-5 \n",
    "tle_line1 = \"1 27421U 02021A   02124.48976499 -.00021470  00000-0 -89879-2 0    20\"\n",
    "tle_line2 = \"2 27421  98.7490 199.5121 0001333 133.9522 226.1918 14.26113993    62\""
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The orekit TLE object parses the two line strings. [See TLE Doc](https://www.orekit.org/static/apidocs/org/orekit/propagation/analytical/tle/TLE.html) The Epoch is the timestamp where the two line elements are referenced to."
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 9,
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   "metadata": {},
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   "outputs": [
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    {
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     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "1 27421U 02021A   02124.48976499 -.00021470  00000-0 -89879-2 0    20\n",
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      "2 27421  98.7490 199.5121 0001333 133.9522 226.1918 14.26113993    62\n",
      "Epoch : 2002-05-04T11:45:15.695\n"
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     ]
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    }
   ],
   "source": [
    "mytle = TLE(tle_line1,tle_line2)\n",
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    "\n",
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    "print (mytle)\n",
    "print ('Epoch :',mytle.getDate())"
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   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preparing the Coordinate systems "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Orekit supports several coordinate systems, for this example the International Terrestrial Reference Frame (ITRF) is used for the planet. A slightly elliptical body is created for the Earth shape, according to the WGS84 model."
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 10,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "ITRF = FramesFactory.getITRF(IERSConventions.IERS_2010, True)\n",
    "earth = OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS, \n",
    "                         Constants.WGS84_EARTH_FLATTENING, \n",
    "                         ITRF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the station"
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The location of the station is defined, and a [TopocentricFrame](https://www.orekit.org/site-orekit-10.1/apidocs/org/orekit/frames/TopocentricFrame.html) specific for this location is created.\n",
    "\n",
    "This frame is based on a position near the surface of a body shape. The origin of the frame is at the defining geodetic point location, and the right-handed canonical trihedra is:\n",
    "\n",
    "- X axis in the local horizontal plane (normal to zenith direction) and following the local parallel towards East\n",
    "- Y axis in the horizontal plane (normal to zenith direction) and following the local meridian towards North\n",
    "- Z axis towards Zenith direction"
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 11,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "longitude = radians(21.063)\n",
    "latitude  = radians(67.878)\n",
    "altitude  = 341.0\n",
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    "station = GeodeticPoint(latitude, longitude, altitude)\n",
    "station_frame = TopocentricFrame(earth, station, \"Esrange\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the propagation a Earth centered inertial coordinate system is used, the EME2000. This frame is commonly also called J2000. This is a commonly used frame centered at the Earth, and fixed towards reference stars (not rotating with the Earth)."
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 12,
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   "metadata": {},
   "outputs": [],
   "source": [
    "inertialFrame = FramesFactory.getEME2000()"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 13,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "propagator = TLEPropagator.selectExtrapolator(mytle)"
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the start and end date that is then used for the propagation."
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 14,
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   "metadata": {},
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   "outputs": [],
   "source": [
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    "extrapDate = AbsoluteDate(2002, 5, 7, 12, 0, 0.0, TimeScalesFactory.getUTC())\n",
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    "finalDate = extrapDate.shiftedBy(60.0*60*24) #seconds"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 15,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "el=[]\n",
    "pos=[]"
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the core loop that performs the propagation, stepping extrapDate through the range with set stepsize. The results are stored in the el and pos lists."
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 16,
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   "metadata": {},
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   "outputs": [],
   "source": [
    "while (extrapDate.compareTo(finalDate) <= 0.0):  \n",
    "    pv = propagator.getPVCoordinates(extrapDate, inertialFrame)\n",
    "    pos_tmp = pv.getPosition()\n",
    "    pos.append((pos_tmp.getX(),pos_tmp.getY(),pos_tmp.getZ()))\n",
    "    \n",
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    "    el_tmp = station_frame.getElevation(pv.getPosition(),\n",
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    "                    inertialFrame,\n",
    "                    extrapDate)*180.0/pi\n",
    "    el.append(el_tmp)\n",
    "    #print extrapDate, pos_tmp, vel_tmp\n",
    "    extrapDate = extrapDate.shiftedBy(10.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Results"
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot some of the results from the propagation. Note that in the plots below the x-axis are samples and not proper time."
   ]
  },
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  {
   "cell_type": "code",
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   "execution_count": 17,
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   "metadata": {},
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   "outputs": [
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    {
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     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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      ]
     },
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     "metadata": {
      "needs_background": "light"
     },
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     "output_type": "display_data"
    }
   ],
   "source": [
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    "plt.plot(el)\n",
    "plt.ylim(0,90)\n",
    "plt.title('Elevation')\n",
    "plt.grid(True)"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 18,
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   "metadata": {},
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   "outputs": [
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    {
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     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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      ]
     },
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     "metadata": {
      "needs_background": "light"
     },
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     "output_type": "display_data"
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    }
   ],
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   "source": [
    "plt.plot(pos); \n",
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    "plt.title('Inertial position');"
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   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Evaluate the maximum elevation of the International Space Station from your current location and for the coming 5 days, and at what time and date it occurs. The Two-Line Elements needs to be fresh, and fetched from internet. One site that is publishing recent elements is [Celestrack](https://www.celestrak.com/NORAD/elements/). Verify that the used TLE is fresh using the epoch."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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  {
   "cell_type": "code",
   "execution_count": null,
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   "metadata": {},
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   "outputs": [],
   "source": []
  }
 ],
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  "hide_input": false,
  "kernelspec": {
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   "display_name": "Python 3",
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   "language": "python",
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   "name": "python3"
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  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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    "version": 3
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   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
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   "pygments_lexer": "ipython3",
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   "version": "3.8.5"
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  },
  "toc": {
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   "navigate_menu": false,
   "number_sections": false,
   "sideBar": true,
   "threshold": 6,
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   "toc_cell": false,
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   "toc_section_display": "block",
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   "toc_window_display": true
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  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
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  }
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 },
 "nbformat": 4,
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}