CMZ_YSO_PaA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pylab as pl\n",
    "pl.style.use('dark_background')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy import constants, units as u, table, stats, coordinates, wcs, log, coordinates as coord, convolution, modeling, time; from astropy.io import fits, ascii\n",
    "from astroquery.xmatch import XMatch\n",
    "from astroquery.vizier import Vizier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "J/MNRAS/417/114 HST/NICMOS Galactic Center survey catalogue (Dong+, 2011)\n"
     ]
    }
   ],
   "source": [
    "x = Vizier.find_catalogs('HST/NICMOS Galactic Center survey catalogue')\n",
    "for k in x:\n",
    "    print(k, x[k].description)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "Vizier.ROW_LIMIT = int(1e8)\n",
    "if 'paacat' not in locals():\n",
    "    paacats = Vizier.get_catalogs('J/MNRAS/417/114/table2')[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=570532</i>\n",
       "<table id=\"table140171570060112\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>Pa</th><th>Seq</th><th>RAJ2000</th><th>e_RAJ2000</th><th>DEJ2000</th><th>e_DEJ2000</th><th>SF187N</th><th>e_SF187N</th><th>SF190N</th><th>e_SF190N</th><th>F187N</th><th>F190N</th><th>Nexp</th><th>Qual</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th>deg</th><th>arcsec</th><th>deg</th><th>arcsec</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th></th><th></th></tr></thead>\n",
       "<thead><tr><th>uint8</th><th>int32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>int32</th><th>int32</th><th>int32</th><th>int32</th><th>float32</th><th>float32</th><th>uint8</th><th>uint8</th></tr></thead>\n",
       "<tr><td>0</td><td>1</td><td>266.27877</td><td>0.02</td><td>-29.14364</td><td>0.03</td><td>5360536</td><td>94531</td><td>5352035</td><td>84095</td><td>5.4</td><td>5.5</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>2</td><td>266.42287</td><td>0.05</td><td>-28.86000</td><td>0.04</td><td>4086863</td><td>72076</td><td>4156357</td><td>65311</td><td>5.7</td><td>5.8</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>3</td><td>266.28008</td><td>0.02</td><td>-29.13699</td><td>0.03</td><td>3414159</td><td>60208</td><td>3414218</td><td>53648</td><td>5.9</td><td>6.0</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>4</td><td>266.46723</td><td>0.02</td><td>-28.78837</td><td>0.01</td><td>2904247</td><td>72425</td><td>3380832</td><td>75125</td><td>6.1</td><td>6.0</td><td>2</td><td>0</td></tr>\n",
       "<tr><td>2</td><td>5</td><td>266.51105</td><td>0.05</td><td>-28.99267</td><td>0.01</td><td>3265587</td><td>57582</td><td>3229437</td><td>50737</td><td>6.0</td><td>6.0</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>6</td><td>266.26167</td><td>0.04</td><td>-29.11459</td><td>0.02</td><td>2741807</td><td>48344</td><td>2871953</td><td>45120</td><td>6.2</td><td>6.2</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>7</td><td>266.59299</td><td>0.02</td><td>-28.74451</td><td>0.01</td><td>2821463</td><td>49748</td><td>2853948</td><td>44843</td><td>6.1</td><td>6.2</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>8</td><td>266.44895</td><td>0.04</td><td>-29.05837</td><td>0.02</td><td>2728663</td><td>48128</td><td>2775772</td><td>43631</td><td>6.2</td><td>6.2</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>9</td><td>266.24587</td><td>0.02</td><td>-29.27417</td><td>0.04</td><td>2222895</td><td>55437</td><td>2305729</td><td>51244</td><td>6.4</td><td>6.4</td><td>2</td><td>0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>0</td><td>570523</td><td>266.38682</td><td>0.04</td><td>-28.81348</td><td>0.07</td><td>77</td><td>21</td><td>52</td><td>23</td><td>17.5</td><td>18.0</td><td>1</td><td>1</td></tr>\n",
       "<tr><td>0</td><td>570524</td><td>266.42716</td><td>0.01</td><td>-29.11062</td><td>0.02</td><td>87</td><td>15</td><td>52</td><td>18</td><td>17.4</td><td>18.0</td><td>1</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570525</td><td>266.43002</td><td>0.07</td><td>-29.05380</td><td>0.05</td><td>58</td><td>11</td><td>52</td><td>11</td><td>17.9</td><td>18.0</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570526</td><td>266.38931</td><td>0.04</td><td>-28.89533</td><td>0.05</td><td>61</td><td>13</td><td>51</td><td>13</td><td>17.8</td><td>18.0</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570527</td><td>266.39071</td><td>0.01</td><td>-28.90969</td><td>0.05</td><td>72</td><td>34</td><td>49</td><td>28</td><td>17.6</td><td>18.1</td><td>1</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570528</td><td>266.33247</td><td>0.06</td><td>-28.89726</td><td>0.04</td><td>53</td><td>16</td><td>49</td><td>15</td><td>18.0</td><td>18.1</td><td>2</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570529</td><td>266.37823</td><td>0.03</td><td>-29.14361</td><td>0.02</td><td>107</td><td>26</td><td>48</td><td>23</td><td>17.2</td><td>18.1</td><td>1</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570530</td><td>266.60665</td><td>0.05</td><td>-28.75706</td><td>0.04</td><td>53</td><td>10</td><td>48</td><td>11</td><td>18.0</td><td>18.1</td><td>4</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570531</td><td>266.41571</td><td>0.06</td><td>-29.02863</td><td>0.06</td><td>75</td><td>27</td><td>46</td><td>29</td><td>17.6</td><td>18.1</td><td>1</td><td>0</td></tr>\n",
       "<tr><td>0</td><td>570532</td><td>266.29372</td><td>0.04</td><td>-28.95754</td><td>0.08</td><td>46</td><td>18</td><td>42</td><td>16</td><td>18.1</td><td>18.3</td><td>2</td><td>0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table length=570532>\n",
       "  Pa   Seq    RAJ2000  e_RAJ2000  DEJ2000  ...  F187N   F190N   Nexp  Qual\n",
       "                deg      arcsec     deg    ...   mag     mag              \n",
       "uint8 int32   float64   float32   float64  ... float32 float32 uint8 uint8\n",
       "----- ------ --------- --------- --------- ... ------- ------- ----- -----\n",
       "    0      1 266.27877      0.02 -29.14364 ...     5.4     5.5     4     0\n",
       "    0      2 266.42287      0.05 -28.86000 ...     5.7     5.8     4     0\n",
       "    0      3 266.28008      0.02 -29.13699 ...     5.9     6.0     4     0\n",
       "    0      4 266.46723      0.02 -28.78837 ...     6.1     6.0     2     0\n",
       "    2      5 266.51105      0.05 -28.99267 ...     6.0     6.0     4     0\n",
       "    0      6 266.26167      0.04 -29.11459 ...     6.2     6.2     4     0\n",
       "    0      7 266.59299      0.02 -28.74451 ...     6.1     6.2     4     0\n",
       "    0      8 266.44895      0.04 -29.05837 ...     6.2     6.2     4     0\n",
       "    0      9 266.24587      0.02 -29.27417 ...     6.4     6.4     2     0\n",
       "  ...    ...       ...       ...       ... ...     ...     ...   ...   ...\n",
       "    0 570523 266.38682      0.04 -28.81348 ...    17.5    18.0     1     1\n",
       "    0 570524 266.42716      0.01 -29.11062 ...    17.4    18.0     1     0\n",
       "    0 570525 266.43002      0.07 -29.05380 ...    17.9    18.0     4     0\n",
       "    0 570526 266.38931      0.04 -28.89533 ...    17.8    18.0     4     0\n",
       "    0 570527 266.39071      0.01 -28.90969 ...    17.6    18.1     1     0\n",
       "    0 570528 266.33247      0.06 -28.89726 ...    18.0    18.1     2     0\n",
       "    0 570529 266.37823      0.03 -29.14361 ...    17.2    18.1     1     0\n",
       "    0 570530 266.60665      0.05 -28.75706 ...    18.0    18.1     4     0\n",
       "    0 570531 266.41571      0.06 -29.02863 ...    17.6    18.1     1     0\n",
       "    0 570532 266.29372      0.04 -28.95754 ...    18.1    18.3     2     0"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paacat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7c37fe9690>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.plot(paacat['SF187N'] / paacat['SF190N'], -2.5*np.log10(paacat['SF190N']), ',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "yz2009xm_ = XMatch.query(cat1='vizier:J/ApJ/702/178/YSOcand',\n",
    "                         cat2='vizier:J/MNRAS/417/114/table2',\n",
    "                         max_distance=1 * u.arcsec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "yz2009_ = Vizier.get_catalogs('J/ApJ/702/178/YSOcand')[0]\n",
    "iracgc = Vizier.get_catalogs('II/295/SSTGC')[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "irac_paa_xm = XMatch.query(cat1='vizier:II/295/SSTGC',\n",
    "                           cat2='vizier:J/MNRAS/417/114/table2',\n",
    "                           max_distance=1 * u.arcsec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: MergeConflictWarning: Cannot merge meta key 'ID' types <class 'str'> and <class 'str'>, choosing ID='II_295_SSTGC' [astropy.utils.metadata]\n",
      "WARNING: MergeConflictWarning: Cannot merge meta key 'name' types <class 'str'> and <class 'str'>, choosing name='II/295/SSTGC' [astropy.utils.metadata]\n",
      "WARNING: MergeConflictWarning: Cannot merge meta key 'description' types <class 'str'> and <class 'str'>, choosing description='2MASS/IRAC catalog of the Galactic Center' [astropy.utils.metadata]\n"
     ]
    }
   ],
   "source": [
    "yz2009 = table.hstack([yz2009_, iracgc[yz2009_['SSTGC']-1]])\n",
    "yz2009xm = table.hstack([yz2009xm_, iracgc[yz2009xm_['SSTGC']-1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7c26292610>]"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.plot(yz2009['_3.6mag']-yz2009['_4.5mag'], yz2009['_8.0mag'], '.')\n",
    "pl.plot(yz2009xm['_3.6mag']-yz2009xm['_4.5mag'], yz2009xm['_8.0mag'], '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7c2692b190>]"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.plot(paacat['SF187N'] / paacat['SF190N'], -2.5*np.log10(paacat['SF190N']), ',')\n",
    "pl.plot(yz2009xm['SF187N'] / yz2009xm['SF190N'], -2.5*np.log10(yz2009xm['SF190N']), '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([6.000e+00, 4.600e+01, 4.510e+02, 1.552e+03, 2.711e+03, 3.216e+03,\n",
       "        3.512e+03, 3.772e+03, 4.318e+03, 4.508e+03, 4.494e+03, 4.052e+03,\n",
       "        3.366e+03, 3.038e+03, 2.853e+03, 2.943e+03, 2.890e+03, 2.867e+03,\n",
       "        2.742e+03, 2.670e+03, 2.623e+03, 2.334e+03, 2.220e+03, 1.953e+03,\n",
       "        1.806e+03, 1.597e+03, 1.300e+03, 1.225e+03, 9.500e+02, 7.380e+02,\n",
       "        5.290e+02, 3.530e+02, 2.420e+02, 1.630e+02, 1.030e+02, 6.300e+01,\n",
       "        3.100e+01, 2.400e+01, 2.300e+01, 1.300e+01, 5.000e+00, 8.000e+00,\n",
       "        8.000e+00, 4.000e+00, 5.000e+00, 1.000e+00, 3.000e+00, 3.000e+00,\n",
       "        3.000e+00, 1.000e+00]),\n",
       " array([1.62324929, 1.72535468, 1.82746008, 1.92956547, 2.03167086,\n",
       "        2.13377626, 2.23588165, 2.33798704, 2.44009244, 2.54219783,\n",
       "        2.64430322, 2.74640861, 2.84851401, 2.9506194 , 3.05272479,\n",
       "        3.15483019, 3.25693558, 3.35904097, 3.46114637, 3.56325176,\n",
       "        3.66535715, 3.76746255, 3.86956794, 3.97167333, 4.07377872,\n",
       "        4.17588412, 4.27798951, 4.3800949 , 4.4822003 , 4.58430569,\n",
       "        4.68641108, 4.78851648, 4.89062187, 4.99272726, 5.09483266,\n",
       "        5.19693805, 5.29904344, 5.40114883, 5.50325423, 5.60535962,\n",
       "        5.70746501, 5.80957041, 5.9116758 , 6.01378119, 6.11588659,\n",
       "        6.21799198, 6.32009737, 6.42220277, 6.52430816, 6.62641355,\n",
       "        6.72851894]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.hist(np.log10(irac_paa_xm['SF190N']), bins=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.00000e+00, 1.00000e+00, 6.00000e+00, 3.60000e+01, 1.85000e+02,\n",
       "        2.04900e+03, 2.51640e+04, 2.70073e+05, 2.47805e+05, 2.03520e+04,\n",
       "        3.47800e+03, 8.06000e+02, 2.69000e+02, 1.11000e+02, 6.60000e+01,\n",
       "        3.20000e+01, 2.60000e+01, 2.00000e+01, 1.30000e+01, 7.00000e+00,\n",
       "        8.00000e+00, 5.00000e+00, 2.00000e+00, 4.00000e+00, 3.00000e+00,\n",
       "        1.00000e+00, 2.00000e+00, 0.00000e+00, 1.00000e+00, 1.00000e+00,\n",
       "        1.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00,\n",
       "        0.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00,\n",
       "        1.00000e+00, 0.00000e+00, 1.00000e+00, 0.00000e+00, 0.00000e+00,\n",
       "        1.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00, 1.00000e+00]),\n",
       " array([0.08344733, 0.19092124, 0.29839515, 0.40586906, 0.51334297,\n",
       "        0.62081688, 0.7282908 , 0.83576471, 0.94323862, 1.05071253,\n",
       "        1.15818644, 1.26566035, 1.37313426, 1.48060817, 1.58808208,\n",
       "        1.69555599, 1.8030299 , 1.91050381, 2.01797772, 2.12545163,\n",
       "        2.23292554, 2.34039945, 2.44787336, 2.55534727, 2.66282118,\n",
       "        2.77029509, 2.87776901, 2.98524292, 3.09271683, 3.20019074,\n",
       "        3.30766465, 3.41513856, 3.52261247, 3.63008638, 3.73756029,\n",
       "        3.8450342 , 3.95250811, 4.05998202, 4.16745593, 4.27492984,\n",
       "        4.38240375, 4.48987766, 4.59735157, 4.70482548, 4.81229939,\n",
       "        4.9197733 , 5.02724722, 5.13472113, 5.24219504, 5.34966895,\n",
       "        5.45714286]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.hist(paacat['SF187N'] / paacat['SF190N'], bins=50, log=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f7c21aec190>"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.figure(figsize=(10,10))\n",
    "pl.plot(iracgc['_3.6mag']-iracgc['_4.5mag'], iracgc['_8.0mag'], ',', label='IRAC')\n",
    "pl.plot(yz2009['_3.6mag']-yz2009['_4.5mag'], yz2009['_8.0mag'], '.', label='YZ2009')\n",
    "pl.plot(irac_paa_xm['3.6mag']-irac_paa_xm['4.5mag'], irac_paa_xm['8.0mag'], ',', label='IRAC w/PaA detection')\n",
    "excess = (irac_paa_xm['SF187N'] / irac_paa_xm['SF190N'] > 1.1) & (irac_paa_xm['SF190N'] > 1e3)\n",
    "pl.plot((irac_paa_xm['3.6mag']-irac_paa_xm['4.5mag'])[excess], (irac_paa_xm['8.0mag'])[excess], '.', label='IRAC w/PaA excess')\n",
    "pl.axis([-0.5,3,17,3])\n",
    "pl.xlabel(\"[3.6]-[4.5]\")\n",
    "pl.ylabel(\"[8.0]\")\n",
    "pl.legend(loc='best')"
   ]
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}