Task.ipynb

{
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "#!pip3 install astroquery"
      ],
      "metadata": {
        "id": "tnajmhysCCLN"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "#written by @redboxup"
      ],
      "metadata": {
        "id": "2EYvMto5Nv20"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "fAWMcVr7vHJB"
      },
      "outputs": [],
      "source": [
        "from astroquery.gaia import Gaia\n",
        "from astropy import units as u\n",
        "from astropy.table import Table\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "from astropy.coordinates import Distance\n",
        "import matplotlib.pyplot as plt\n",
        "from sklearn.mixture import GaussianMixture"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "o6lTLcN3vHJE"
      },
      "source": [
        "Note: The query to the archive is with ADQL (Astronomical Data Query Language)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "VD1_J3uKvHJG"
      },
      "outputs": [],
      "source": [
        "query = f\"SELECT * \\\n",
        "FROM gaiadr3.gaia_source \\\n",
        "WHERE \\\n",
        "CONTAINS( \\\n",
        "    POINT('ICRS',gaiadr3.gaia_source.ra,gaiadr3.gaia_source.dec), \\\n",
        "    CIRCLE('ICRS',132.8460000, 11.8140000,0.25))=1\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "XAkM7EWEvHJH",
        "outputId": "669ecf60-2bb6-497e-f508-bd991e54c753",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "INFO:astroquery:Query finished.\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "INFO: Query finished. [astroquery.utils.tap.core]\n"
          ]
        }
      ],
      "source": [
        "job = Gaia.launch_job_async(query)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "7XszVoy1vHJH"
      },
      "outputs": [],
      "source": [
        "results = job.get_results()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "pYEzUAacvHJI",
        "outputId": "85908e61-fa42-42f4-ad6b-d502163b8bb9",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Table size (rows): 2101\n"
          ]
        }
      ],
      "source": [
        "print(f'Table size (rows): {len(results)}')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "9Zxz1T1svHJJ",
        "outputId": "015ff6df-2f42-48e3-d9ae-2a2f76da6d0b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 878
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Table length=2101>\n",
              "    solution_id             DESIGNATION         ... libname_gspphot\n",
              "                                                ...                \n",
              "       int64                   object           ...      object    \n",
              "------------------- --------------------------- ... ---------------\n",
              "1636148068921376768 Gaia DR3 604896803057903232 ...                \n",
              "1636148068921376768 Gaia DR3 604969065884873216 ...                \n",
              "1636148068921376768 Gaia DR3 604910448169742208 ...                \n",
              "1636148068921376768 Gaia DR3 604893371379778432 ...                \n",
              "1636148068921376768 Gaia DR3 604893405739514624 ...           MARCS\n",
              "1636148068921376768 Gaia DR3 604893470168333952 ...                \n",
              "1636148068921376768 Gaia DR3 604893474458978688 ...                \n",
              "1636148068921376768 Gaia DR3 604893474460564992 ...                \n",
              "1636148068921376768 Gaia DR3 604893543177715840 ...                \n",
              "                ...                         ... ...             ...\n",
              "1636148068921376768 Gaia DR3 604995278068254208 ...           MARCS\n",
              "1636148068921376768 Gaia DR3 604995278068452992 ...                \n",
              "1636148068921376768 Gaia DR3 604995316723249408 ...           MARCS\n",
              "1636148068921376768 Gaia DR3 604995316723249792 ...                \n",
              "1636148068921376768 Gaia DR3 604995385442729600 ...                \n",
              "1636148068921376768 Gaia DR3 604995415507212416 ...         PHOENIX\n",
              "1636148068921376768 Gaia DR3 604995419802092544 ...                \n",
              "1636148068921376768 Gaia DR3 604995419802460288 ...           MARCS\n",
              "1636148068921376768 Gaia DR3 604995557241423488 ...           MARCS\n",
              "1636148068921376768 Gaia DR3 604995625960900864 ...                "
            ],
            "text/html": [
              "<div><i>Table length=2101</i>\n",
              "<table id=\"table140327161253168\" class=\"table-striped table-bordered table-condensed\">\n",
              "<thead><tr><th>solution_id</th><th>DESIGNATION</th><th>source_id</th><th>random_index</th><th>ref_epoch</th><th>ra</th><th>ra_error</th><th>dec</th><th>dec_error</th><th>parallax</th><th>parallax_error</th><th>parallax_over_error</th><th>pm</th><th>pmra</th><th>pmra_error</th><th>pmdec</th><th>pmdec_error</th><th>ra_dec_corr</th><th>ra_parallax_corr</th><th>ra_pmra_corr</th><th>ra_pmdec_corr</th><th>dec_parallax_corr</th><th>dec_pmra_corr</th><th>dec_pmdec_corr</th><th>parallax_pmra_corr</th><th>parallax_pmdec_corr</th><th>pmra_pmdec_corr</th><th>astrometric_n_obs_al</th><th>astrometric_n_obs_ac</th><th>astrometric_n_good_obs_al</th><th>astrometric_n_bad_obs_al</th><th>astrometric_gof_al</th><th>astrometric_chi2_al</th><th>astrometric_excess_noise</th><th>astrometric_excess_noise_sig</th><th>astrometric_params_solved</th><th>astrometric_primary_flag</th><th>nu_eff_used_in_astrometry</th><th>pseudocolour</th><th>pseudocolour_error</th><th>ra_pseudocolour_corr</th><th>dec_pseudocolour_corr</th><th>parallax_pseudocolour_corr</th><th>pmra_pseudocolour_corr</th><th>pmdec_pseudocolour_corr</th><th>astrometric_matched_transits</th><th>visibility_periods_used</th><th>astrometric_sigma5d_max</th><th>matched_transits</th><th>new_matched_transits</th><th>matched_transits_removed</th><th>ipd_gof_harmonic_amplitude</th><th>ipd_gof_harmonic_phase</th><th>ipd_frac_multi_peak</th><th>ipd_frac_odd_win</th><th>ruwe</th><th>scan_direction_strength_k1</th><th>scan_direction_strength_k2</th><th>scan_direction_strength_k3</th><th>scan_direction_strength_k4</th><th>scan_direction_mean_k1</th><th>scan_direction_mean_k2</th><th>scan_direction_mean_k3</th><th>scan_direction_mean_k4</th><th>duplicated_source</th><th>phot_g_n_obs</th><th>phot_g_mean_flux</th><th>phot_g_mean_flux_error</th><th>phot_g_mean_flux_over_error</th><th>phot_g_mean_mag</th><th>phot_bp_n_obs</th><th>phot_bp_mean_flux</th><th>phot_bp_mean_flux_error</th><th>phot_bp_mean_flux_over_error</th><th>phot_bp_mean_mag</th><th>phot_rp_n_obs</th><th>phot_rp_mean_flux</th><th>phot_rp_mean_flux_error</th><th>phot_rp_mean_flux_over_error</th><th>phot_rp_mean_mag</th><th>phot_bp_rp_excess_factor</th><th>phot_bp_n_contaminated_transits</th><th>phot_bp_n_blended_transits</th><th>phot_rp_n_contaminated_transits</th><th>phot_rp_n_blended_transits</th><th>phot_proc_mode</th><th>bp_rp</th><th>bp_g</th><th>g_rp</th><th>radial_velocity</th><th>radial_velocity_error</th><th>rv_method_used</th><th>rv_nb_transits</th><th>rv_nb_deblended_transits</th><th>rv_visibility_periods_used</th><th>rv_expected_sig_to_noise</th><th>rv_renormalised_gof</th><th>rv_chisq_pvalue</th><th>rv_time_duration</th><th>rv_amplitude_robust</th><th>rv_template_teff</th><th>rv_template_logg</th><th>rv_template_fe_h</th><th>rv_atm_param_origin</th><th>vbroad</th><th>vbroad_error</th><th>vbroad_nb_transits</th><th>grvs_mag</th><th>grvs_mag_error</th><th>grvs_mag_nb_transits</th><th>rvs_spec_sig_to_noise</th><th>phot_variable_flag</th><th>l</th><th>b</th><th>ecl_lon</th><th>ecl_lat</th><th>in_qso_candidates</th><th>in_galaxy_candidates</th><th>non_single_star</th><th>has_xp_continuous</th><th>has_xp_sampled</th><th>has_rvs</th><th>has_epoch_photometry</th><th>has_epoch_rv</th><th>has_mcmc_gspphot</th><th>has_mcmc_msc</th><th>in_andromeda_survey</th><th>classprob_dsc_combmod_quasar</th><th>classprob_dsc_combmod_galaxy</th><th>classprob_dsc_combmod_star</th><th>teff_gspphot</th><th>teff_gspphot_lower</th><th>teff_gspphot_upper</th><th>logg_gspphot</th><th>logg_gspphot_lower</th><th>logg_gspphot_upper</th><th>mh_gspphot</th><th>mh_gspphot_lower</th><th>mh_gspphot_upper</th><th>distance_gspphot</th><th>distance_gspphot_lower</th><th>distance_gspphot_upper</th><th>azero_gspphot</th><th>azero_gspphot_lower</th><th>azero_gspphot_upper</th><th>ag_gspphot</th><th>ag_gspphot_lower</th><th>ag_gspphot_upper</th><th>ebpminrp_gspphot</th><th>ebpminrp_gspphot_lower</th><th>ebpminrp_gspphot_upper</th><th>libname_gspphot</th></tr></thead>\n",
              "<thead><tr><th></th><th></th><th></th><th></th><th>yr</th><th>deg</th><th>mas</th><th>deg</th><th>mas</th><th>mas</th><th>mas</th><th></th><th>mas / yr</th><th>mas / yr</th><th>mas / yr</th><th>mas / yr</th><th>mas / yr</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th>mas</th><th></th><th></th><th></th><th>1 / um</th><th>1 / um</th><th>1 / um</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th>mas</th><th></th><th></th><th></th><th></th><th>deg</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th>deg</th><th>deg</th><th>deg</th><th>deg</th><th></th><th></th><th>electron / s</th><th>electron / s</th><th></th><th>mag</th><th></th><th>electron / s</th><th>electron / s</th><th></th><th>mag</th><th></th><th>electron / s</th><th>electron / s</th><th></th><th>mag</th><th></th><th></th><th></th><th></th><th></th><th></th><th>mag</th><th>mag</th><th>mag</th><th>km / s</th><th>km / s</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th>d</th><th>km / s</th><th>K</th><th>log(cm.s**-2)</th><th>dex</th><th></th><th>km / s</th><th>km / s</th><th></th><th>mag</th><th>mag</th><th></th><th></th><th></th><th>deg</th><th>deg</th><th>deg</th><th>deg</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th>K</th><th>K</th><th>K</th><th>log(cm.s**-2)</th><th>log(cm.s**-2)</th><th>log(cm.s**-2)</th><th>dex</th><th>dex</th><th>dex</th><th>pc</th><th>pc</th><th>pc</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th>mag</th><th></th></tr></thead>\n",
              "<thead><tr><th>int64</th><th>object</th><th>int64</th><th>int64</th><th>float64</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>int16</th><th>int16</th><th>int16</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>bool</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>int16</th><th>float32</th><th>int16</th><th>int16</th><th>int16</th><th>float32</th><th>float32</th><th>int16</th><th>int16</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>bool</th><th>int16</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>int16</th><th>int16</th><th>int16</th><th>int16</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>int16</th><th>int16</th><th>int16</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int16</th><th>float32</th><th>float32</th><th>int16</th><th>float32</th><th>float32</th><th>int16</th><th>float32</th><th>object</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>bool</th><th>bool</th><th>int16</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>object</th></tr></thead>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604896803057903232</td><td>604896803057903232</td><td>1175653017</td><td>2016.0</td><td>132.88137201339757</td><td>5.5170107</td><td>11.616982485661488</td><td>2.4145107</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>-0.4279688</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>300</td><td>0</td><td>294</td><td>6</td><td>49.595318</td><td>3869.1064</td><td>25.537468</td><td>111.87986</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>35</td><td>9</td><td>17.687319</td><td>37</td><td>0</td><td>1</td><td>0.1243352</td><td>37.781933</td><td>1</td><td>0</td><td>--</td><td>0.4604418</td><td>0.6953797</td><td>0.3689855</td><td>0.27798027</td><td>179.17963</td><td>11.973812</td><td>-59.908817</td><td>-1.9135767</td><td>False</td><td>309</td><td>66.02496047788699</td><td>0.78980404</td><td>83.596634</td><td>21.138096</td><td>30</td><td>148.49972569821765</td><td>8.112248</td><td>18.305618</td><td>19.909227</td><td>33</td><td>369.30239103507375</td><td>10.367543</td><td>35.621014</td><td>18.329441</td><td>7.8425207</td><td>0</td><td>1</td><td>0</td><td>1</td><td>0</td><td>1.5797863</td><td>-1.2288685</td><td>2.8086548</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.91892323996734</td><td>31.869592416724757</td><td>132.06341738115768</td><td>-5.782599691002692</td><td>False</td><td>True</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>0.0</td><td>1.0</td><td>0.0</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604969065884873216</td><td>604969065884873216</td><td>207322363</td><td>2016.0</td><td>132.74765178205223</td><td>0.7124265</td><td>11.914517401675255</td><td>0.43073308</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>-0.27623457</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>380</td><td>0</td><td>380</td><td>0</td><td>308.0481</td><td>230158.05</td><td>6.6741023</td><td>6225.032</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>43</td><td>17</td><td>1.3025118</td><td>45</td><td>45</td><td>0</td><td>0.14991847</td><td>49.776085</td><td>57</td><td>0</td><td>--</td><td>0.28573784</td><td>0.5273326</td><td>0.14664283</td><td>0.24071544</td><td>-154.73965</td><td>15.817573</td><td>-44.04434</td><td>-20.430998</td><td>False</td><td>319</td><td>8829.96585567406</td><td>39.186047</td><td>225.33443</td><td>15.82247</td><td>37</td><td>5461.334828951696</td><td>20.780668</td><td>262.80844</td><td>15.995296</td><td>36</td><td>8601.192872577665</td><td>17.49087</td><td>491.7533</td><td>14.911499</td><td>1.5925914</td><td>0</td><td>2</td><td>0</td><td>2</td><td>0</td><td>1.0837965</td><td>0.17282581</td><td>0.9109707</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.53621025883456</td><td>31.875378956550634</td><td>131.85558829474027</td><td>-5.531818003360849</td><td>False</td><td>False</td><td>0</td><td>True</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>2.731209e-05</td><td>1.6621563e-05</td><td>0.99355125</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604910448169742208</td><td>604910448169742208</td><td>995037439</td><td>2016.0</td><td>132.82328417453144</td><td>0.4354205</td><td>11.731291141781815</td><td>0.25858593</td><td>-0.08586949923596601</td><td>0.55032843</td><td>-0.15603319</td><td>6.0324597</td><td>-0.6811578174712816</td><td>0.5423265</td><td>-5.993879778981899</td><td>0.38932174</td><td>-0.354181</td><td>-0.19438083</td><td>-0.2504504</td><td>0.17583694</td><td>0.065671496</td><td>0.13335527</td><td>-0.1793648</td><td>0.44658217</td><td>-0.322666</td><td>-0.28823435</td><td>359</td><td>0</td><td>355</td><td>4</td><td>-0.037982844</td><td>372.41818</td><td>0.0</td><td>0.0</td><td>31</td><td>False</td><td>1.5545577</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>42</td><td>17</td><td>0.81836176</td><td>44</td><td>8</td><td>0</td><td>0.11398529</td><td>12.33459</td><td>0</td><td>0</td><td>0.99761295</td><td>0.33062467</td><td>0.5551389</td><td>0.3191546</td><td>0.20630102</td><td>-172.2436</td><td>13.503981</td><td>-53.020866</td><td>-20.468988</td><td>False</td><td>349</td><td>179.460378539171</td><td>0.7448913</td><td>240.92157</td><td>20.052446</td><td>34</td><td>88.86125646882968</td><td>4.680727</td><td>18.984499</td><td>20.46676</td><td>39</td><td>132.8190353987648</td><td>8.378714</td><td>15.85196</td><td>19.439745</td><td>1.2352604</td><td>0</td><td>2</td><td>0</td><td>3</td><td>0</td><td>1.0270157</td><td>0.41431427</td><td>0.6127014</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.76864182542653</td><td>31.865949211855973</td><td>131.9771626043091</td><td>-5.688064365313184</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>1.4028041e-09</td><td>2.1729129e-08</td><td>0.9999889</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604893371379778432</td><td>604893371379778432</td><td>563861805</td><td>2016.0</td><td>132.90292473006858</td><td>0.26777345</td><td>11.570615996986483</td><td>0.13936093</td><td>1.3947587305630387</td><td>0.3181643</td><td>4.383769</td><td>5.1444545</td><td>0.7713591171566132</td><td>0.3489513</td><td>5.086296762019907</td><td>0.23854722</td><td>-0.24368758</td><td>-0.08389466</td><td>0.060523022</td><td>0.22222917</td><td>0.14778471</td><td>0.14681898</td><td>-0.17283912</td><td>0.34659395</td><td>-0.14994465</td><td>-0.044408638</td><td>399</td><td>0</td><td>397</td><td>2</td><td>0.110811844</td><td>448.3074</td><td>0.6830821</td><td>1.3182472</td><td>95</td><td>False</td><td>--</td><td>1.1963975</td><td>0.056184143</td><td>0.0130469</td><td>-0.096980676</td><td>-0.06512847</td><td>0.09606212</td><td>0.18086585</td><td>46</td><td>16</td><td>0.49125573</td><td>49</td><td>8</td><td>0</td><td>0.028921125</td><td>14.139064</td><td>0</td><td>0</td><td>1.0031117</td><td>0.34244314</td><td>0.6156839</td><td>0.27397364</td><td>0.1919423</td><td>-172.65561</td><td>8.66867</td><td>-52.768898</td><td>-12.302882</td><td>False</td><td>416</td><td>375.2645939289638</td><td>0.93271786</td><td>402.3345</td><td>19.251522</td><td>36</td><td>90.32488300849012</td><td>7.0485287</td><td>12.814714</td><td>20.449024</td><td>41</td><td>424.7612603959495</td><td>9.418627</td><td>45.098003</td><td>18.177534</td><td>1.3725946</td><td>0</td><td>1</td><td>0</td><td>1</td><td>0</td><td>2.27149</td><td>1.1975021</td><td>1.073988</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.9789123337665</td><td>31.869247673384905</td><td>132.09652083551566</td><td>-5.821470879910975</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>2.9320147e-13</td><td>2.5889588e-12</td><td>0.99994063</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604893405739514624</td><td>604893405739514624</td><td>98657141</td><td>2016.0</td><td>132.9096680958197</td><td>0.05383566</td><td>11.574321810691997</td><td>0.026924176</td><td>1.1478513512234012</td><td>0.066177905</td><td>17.344933</td><td>11.490982</td><td>-11.145548583830411</td><td>0.07245422</td><td>-2.7963207229342886</td><td>0.04726646</td><td>-0.22564635</td><td>-0.04677222</td><td>0.12095116</td><td>0.09112025</td><td>0.15237497</td><td>0.08608728</td><td>-0.0075677666</td><td>0.3676632</td><td>-0.19769421</td><td>-0.09594361</td><td>398</td><td>0</td><td>396</td><td>2</td><td>-0.4273934</td><td>395.29333</td><td>0.0</td><td>0.0</td><td>31</td><td>False</td><td>1.4233371</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>46</td><td>16</td><td>0.10258693</td><td>49</td><td>7</td><td>0</td><td>0.053864565</td><td>13.072645</td><td>1</td><td>0</td><td>0.9839074</td><td>0.36664185</td><td>0.62218386</td><td>0.3004465</td><td>0.20323837</td><td>-172.9549</td><td>8.511717</td><td>-53.377308</td><td>-11.385061</td><td>False</td><td>422</td><td>4518.794631612352</td><td>2.1897612</td><td>2063.6016</td><td>16.54981</td><td>42</td><td>1764.0563415272331</td><td>7.6945453</td><td>229.26064</td><td>17.222261</td><td>45</td><td>3910.943421019954</td><td>9.457218</td><td>413.54056</td><td>15.767192</td><td>1.2558658</td><td>0</td><td>3</td><td>0</td><td>2</td><td>0</td><td>1.4550695</td><td>0.672451</td><td>0.7826185</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.97822683582828</td><td>31.8767999691059</td><td>132.10189659341268</td><td>-5.816106710167863</td><td>False</td><td>False</td><td>0</td><td>True</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>False</td><td>1.0266169e-13</td><td>5.131232e-13</td><td>0.9999367</td><td>4506.725</td><td>4495.5806</td><td>4520.807</td><td>4.6459</td><td>4.635</td><td>4.6535</td><td>0.4253</td><td>0.3727</td><td>0.4621</td><td>811.7052</td><td>799.9069</td><td>821.6263</td><td>0.2762</td><td>0.2592</td><td>0.2931</td><td>0.2084</td><td>0.1955</td><td>0.2214</td><td>0.1092</td><td>0.1023</td><td>0.1159</td><td>MARCS</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604893470168333952</td><td>604893470168333952</td><td>11705596</td><td>2016.0</td><td>132.94261413518151</td><td>25.207478</td><td>11.590281182130848</td><td>1.0042741</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>0.44927153</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>61</td><td>0</td><td>59</td><td>2</td><td>9.062528</td><td>211.8811</td><td>4.0709553</td><td>15.820299</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>7</td><td>4</td><td>118.65686</td><td>20</td><td>20</td><td>22</td><td>0.32767755</td><td>110.95123</td><td>81</td><td>63</td><td>--</td><td>0.3549694</td><td>0.8264386</td><td>0.17447528</td><td>0.7609618</td><td>15.41522</td><td>-1.7422574</td><td>7.118131</td><td>-6.359362</td><td>False</td><td>70</td><td>387.36014001079883</td><td>5.097998</td><td>75.982796</td><td>19.21708</td><td>7</td><td>267.40643933815466</td><td>8.03889</td><td>33.2641</td><td>19.270613</td><td>4</td><td>921.483817333363</td><td>1.8093785</td><td>509.28195</td><td>17.336676</td><td>3.0692117</td><td>0</td><td>7</td><td>0</td><td>4</td><td>0</td><td>1.9339371</td><td>0.053533554</td><td>1.8804035</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.97716616139886</td><td>31.912794095528817</td><td>132.1287439544633</td><td>-5.79196176441733</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>3.4435627e-05</td><td>9.430559e-05</td><td>0.9933961</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604893474458978688</td><td>604893474458978688</td><td>48398309</td><td>2016.0</td><td>132.94299543713464</td><td>9.650503</td><td>11.590739104982754</td><td>3.851574</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>-0.19212282</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>60</td><td>0</td><td>60</td><td>0</td><td>1.0746216</td><td>66.30015</td><td>0.0</td><td>0.0</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>7</td><td>3</td><td>2812.6204</td><td>7</td><td>1</td><td>0</td><td>0.11817457</td><td>44.27137</td><td>0</td><td>0</td><td>--</td><td>0.79714835</td><td>0.7771162</td><td>0.92034</td><td>0.66481954</td><td>168.50172</td><td>1.0452507</td><td>56.4705</td><td>-5.9660587</td><td>False</td><td>53</td><td>70.24430964488432</td><td>1.857077</td><td>37.8252</td><td>21.070839</td><td>0</td><td>--</td><td>--</td><td>--</td><td>--</td><td>0</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>2</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.97686183887126</td><td>31.913325587696853</td><td>132.1289798312105</td><td>-5.791419413765368</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</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>--</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>1636148068921376768</td><td>Gaia DR3 604893474460564992</td><td>604893474460564992</td><td>703168910</td><td>2016.0</td><td>132.94261235591603</td><td>2.178849</td><td>11.590347785267168</td><td>1.1619905</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>-0.4787259</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>292</td><td>0</td><td>268</td><td>24</td><td>106.69556</td><td>18134.004</td><td>13.1526</td><td>848.23755</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>33</td><td>12</td><td>4.7688146</td><td>42</td><td>42</td><td>0</td><td>0.4119778</td><td>29.642996</td><td>62</td><td>9</td><td>--</td><td>0.5651768</td><td>0.60418373</td><td>0.41782543</td><td>0.1406583</td><td>-175.65268</td><td>12.484323</td><td>-57.765453</td><td>-16.793245</td><td>False</td><td>289</td><td>493.03129997377</td><td>6.8642936</td><td>71.8255</td><td>18.955181</td><td>34</td><td>221.92698948361513</td><td>7.5719767</td><td>29.30899</td><td>19.473017</td><td>33</td><td>929.3243665214223</td><td>10.023873</td><td>92.711105</td><td>17.327477</td><td>2.3350472</td><td>0</td><td>34</td><td>0</td><td>33</td><td>0</td><td>2.1455402</td><td>0.5178356</td><td>1.6277046</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.97709411415948</td><td>31.912820529773462</td><td>132.12872403416895</td><td>-5.791898154364175</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>0.0</td><td>1.3948547e-05</td><td>0.99178547</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604893543177715840</td><td>604893543177715840</td><td>1229509803</td><td>2016.0</td><td>132.9330128815348</td><td>1.2142322</td><td>11.600998109128678</td><td>0.58933187</td><td>-0.16199117613615993</td><td>1.6896715</td><td>-0.095871404</td><td>2.343985</td><td>-1.585191142028226</td><td>1.9256896</td><td>-1.7266832919851338</td><td>0.9700087</td><td>-0.27366284</td><td>-0.29496452</td><td>-0.4723199</td><td>0.19786662</td><td>0.32343486</td><td>0.27523294</td><td>-0.33331847</td><td>0.6676672</td><td>-0.35345352</td><td>-0.175497</td><td>179</td><td>0</td><td>178</td><td>1</td><td>-0.11279432</td><td>218.6611</td><td>0.0</td><td>0.0</td><td>95</td><td>False</td><td>--</td><td>1.1861113</td><td>0.28305674</td><td>0.03277203</td><td>-0.25972572</td><td>-0.27025282</td><td>0.026522808</td><td>0.41149712</td><td>21</td><td>11</td><td>2.882897</td><td>22</td><td>4</td><td>0</td><td>0.09902634</td><td>16.363262</td><td>0</td><td>0</td><td>0.9919913</td><td>0.47828907</td><td>0.67248297</td><td>0.46290666</td><td>0.44910514</td><td>-172.55511</td><td>1.6075177</td><td>-56.66256</td><td>-10.737439</td><td>False</td><td>182</td><td>94.62083260296482</td><td>0.8113594</td><td>116.620125</td><td>20.7474</td><td>19</td><td>66.94973183594551</td><td>6.1103234</td><td>10.956823</td><td>20.77417</td><td>15</td><td>62.45850781887197</td><td>10.793813</td><td>5.78651</td><td>20.258917</td><td>1.3676506</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0.51525307</td><td>0.026769638</td><td>0.48848343</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.96105221788486</td><td>31.908768443331457</td><td>132.1167140585572</td><td>-5.784211563083887</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>0.46393016</td><td>4.7947635e-10</td><td>0.53606975</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></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><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><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><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><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><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><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><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><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><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><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>1636148068921376768</td><td>Gaia DR3 604995278068254208</td><td>604995278068254208</td><td>1150573164</td><td>2016.0</td><td>132.8898167584053</td><td>0.18192087</td><td>12.036629509539713</td><td>0.10089782</td><td>1.2145018902895175</td><td>0.23469213</td><td>5.174873</td><td>11.779087</td><td>-11.335947752363012</td><td>0.236056</td><td>-3.2004976191355627</td><td>0.1834735</td><td>-0.26833126</td><td>-0.22476478</td><td>-0.077342294</td><td>0.23043561</td><td>0.11082235</td><td>0.13925338</td><td>-0.07858251</td><td>0.41486135</td><td>-0.4358688</td><td>-0.22629769</td><td>426</td><td>0</td><td>426</td><td>0</td><td>0.20690984</td><td>446.03937</td><td>0.0</td><td>0.0</td><td>31</td><td>False</td><td>1.3149366</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>48</td><td>18</td><td>0.3508695</td><td>51</td><td>9</td><td>0</td><td>0.026564185</td><td>17.527346</td><td>0</td><td>0</td><td>1.0063455</td><td>0.4195477</td><td>0.5318104</td><td>0.25641087</td><td>0.26156884</td><td>-165.89912</td><td>11.966641</td><td>-54.119328</td><td>-19.305162</td><td>False</td><td>449</td><td>572.2730816836565</td><td>0.9667604</td><td>591.9492</td><td>18.793358</td><td>47</td><td>142.99002276070684</td><td>8.32137</td><td>17.183472</td><td>19.950277</td><td>48</td><td>641.7546380933497</td><td>8.1143</td><td>79.08934</td><td>17.729473</td><td>1.3712765</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>2.2208042</td><td>1.1569195</td><td>1.0638847</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.47376054762984</td><td>32.052706576759725</td><td>131.9567252372005</td><td>-5.376525330911349</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>False</td><td>False</td><td>1.3115877e-13</td><td>9.2541097e-10</td><td>0.9999044</td><td>3556.1462</td><td>3536.9082</td><td>3576.064</td><td>4.967</td><td>4.9034</td><td>4.9973</td><td>-0.6337</td><td>-0.6964</td><td>-0.5592</td><td>489.4185</td><td>454.5721</td><td>552.9891</td><td>0.4226</td><td>0.3701</td><td>0.4766</td><td>0.2859</td><td>0.2502</td><td>0.3226</td><td>0.1696</td><td>0.1489</td><td>0.191</td><td>MARCS</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995278068452992</td><td>604995278068452992</td><td>782112724</td><td>2016.0</td><td>132.89063501179163</td><td>1.317882</td><td>12.025674222160914</td><td>0.7378742</td><td>-1.3203495736413675</td><td>1.683221</td><td>-0.78441846</td><td>9.059246</td><td>-3.854288479013834</td><td>1.97733</td><td>-8.198438376682736</td><td>1.7433537</td><td>-0.5286283</td><td>-0.1145776</td><td>0.36678925</td><td>-0.40687177</td><td>0.348896</td><td>-0.2964322</td><td>0.3984823</td><td>0.18076816</td><td>-0.27128395</td><td>-0.50532186</td><td>221</td><td>0</td><td>220</td><td>1</td><td>1.0855305</td><td>243.52927</td><td>1.7465345</td><td>0.6497093</td><td>95</td><td>False</td><td>--</td><td>0.71392137</td><td>0.23717977</td><td>-0.16160257</td><td>-0.04390904</td><td>-0.13969244</td><td>-0.07034397</td><td>0.31732693</td><td>25</td><td>10</td><td>3.2602031</td><td>25</td><td>2</td><td>1</td><td>0.03026205</td><td>135.7284</td><td>0</td><td>0</td><td>1.0513431</td><td>0.5805969</td><td>0.66512376</td><td>0.48484614</td><td>0.17026228</td><td>176.7465</td><td>12.088993</td><td>57.928066</td><td>-4.3928967</td><td>False</td><td>215</td><td>88.1734764391162</td><td>0.75648797</td><td>116.55635</td><td>20.824022</td><td>13</td><td>47.60791877111521</td><td>10.258426</td><td>4.64086</td><td>21.144344</td><td>18</td><td>91.75118313865829</td><td>10.839977</td><td>8.464149</td><td>19.841366</td><td>1.5805105</td><td>0</td><td>0</td><td>0</td><td>1</td><td>0</td><td>1.3029785</td><td>0.32032204</td><td>0.9826565</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.48590410879748</td><td>32.04886980305309</td><td>131.9604909677228</td><td>-5.386850193391669</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>7.367079e-10</td><td>2.9858217e-08</td><td>0.99999714</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995316723249408</td><td>604995316723249408</td><td>144126032</td><td>2016.0</td><td>132.90153360802452</td><td>0.1431934</td><td>12.047782660935871</td><td>0.081255354</td><td>1.428173318908023</td><td>0.17990176</td><td>7.9386287</td><td>11.747743</td><td>-11.324892941407766</td><td>0.18171005</td><td>-3.123502090294652</td><td>0.14371614</td><td>-0.29705545</td><td>-0.2661051</td><td>-0.13327916</td><td>0.28076094</td><td>0.11622635</td><td>0.17269164</td><td>-0.16172104</td><td>0.40662473</td><td>-0.4128466</td><td>-0.27045226</td><td>413</td><td>0</td><td>412</td><td>1</td><td>0.7275947</td><td>446.60495</td><td>0.22990602</td><td>0.43814912</td><td>31</td><td>False</td><td>1.3188367</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>47</td><td>18</td><td>0.2748505</td><td>50</td><td>10</td><td>0</td><td>0.013846895</td><td>38.938</td><td>1</td><td>0</td><td>1.0247844</td><td>0.38228098</td><td>0.52608234</td><td>0.23008798</td><td>0.2726667</td><td>-161.28224</td><td>12.526339</td><td>-50.49168</td><td>-19.808264</td><td>False</td><td>433</td><td>853.1196566811914</td><td>1.2022424</td><td>709.60706</td><td>18.359842</td><td>44</td><td>233.71242255230655</td><td>9.564506</td><td>24.43539</td><td>19.416838</td><td>48</td><td>995.1350783241033</td><td>8.320521</td><td>119.60009</td><td>17.253191</td><td>1.4404163</td><td>0</td><td>17</td><td>0</td><td>21</td><td>0</td><td>2.1636467</td><td>1.0569954</td><td>1.1066513</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.46742832081227</td><td>32.06776985558511</td><td>131.96475455842779</td><td>-5.362676277064674</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>False</td><td>False</td><td>4.077583e-12</td><td>8.5106844e-10</td><td>0.9997901</td><td>3534.9187</td><td>3506.2102</td><td>3559.8848</td><td>4.6132</td><td>4.6012</td><td>4.6364</td><td>-1.1644</td><td>-1.22</td><td>-1.1019</td><td>437.2647</td><td>407.8133</td><td>467.9687</td><td>0.4117</td><td>0.36</td><td>0.4638</td><td>0.2808</td><td>0.2453</td><td>0.3169</td><td>0.162</td><td>0.1415</td><td>0.1828</td><td>MARCS</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995316723249792</td><td>604995316723249792</td><td>1225960397</td><td>2016.0</td><td>132.89936147086615</td><td>0.44810936</td><td>12.050225482233133</td><td>0.25546265</td><td>1.9774450757140591</td><td>0.5810069</td><td>3.4034796</td><td>5.0798554</td><td>-2.8096611606408315</td><td>0.60392207</td><td>-4.232107429235855</td><td>0.49401295</td><td>-0.31238174</td><td>-0.18313947</td><td>-0.07300582</td><td>0.24955438</td><td>0.11504137</td><td>0.18322003</td><td>-0.20097673</td><td>0.41051278</td><td>-0.43389538</td><td>-0.3029571</td><td>429</td><td>0</td><td>427</td><td>2</td><td>0.730487</td><td>493.27826</td><td>1.2101256</td><td>1.3230878</td><td>95</td><td>False</td><td>--</td><td>1.1684612</td><td>0.0971321</td><td>0.035211485</td><td>-0.21137327</td><td>-0.13926551</td><td>-0.15962411</td><td>0.32765737</td><td>49</td><td>18</td><td>0.9216122</td><td>52</td><td>10</td><td>1</td><td>0.024039</td><td>15.447779</td><td>0</td><td>0</td><td>1.0244813</td><td>0.37490878</td><td>0.550376</td><td>0.2277439</td><td>0.23634379</td><td>-162.05524</td><td>13.150135</td><td>-50.398438</td><td>-17.05913</td><td>False</td><td>451</td><td>190.0003653471688</td><td>0.75426626</td><td>251.90092</td><td>19.99048</td><td>36</td><td>35.251570882980566</td><td>4.194152</td><td>8.404934</td><td>21.470596</td><td>47</td><td>257.42241757600334</td><td>8.752127</td><td>29.412556</td><td>18.72128</td><td>1.5403864</td><td>0</td><td>0</td><td>0</td><td>1</td><td>0</td><td>2.7493172</td><td>1.4801159</td><td>1.2692013</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.46376357701035</td><td>32.06685594369771</td><td>131.96203407516626</td><td>-5.3609032703856165</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>9.767538e-13</td><td>2.0839554e-10</td><td>0.999981</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995385442729600</td><td>604995385442729600</td><td>1355887107</td><td>2016.0</td><td>132.88202819722048</td><td>0.24292918</td><td>12.052071959788545</td><td>0.13167599</td><td>0.49349895545304645</td><td>0.31646585</td><td>1.5594068</td><td>11.741747</td><td>6.376949023414742</td><td>0.3157996</td><td>-9.859165371054102</td><td>0.24349464</td><td>-0.25304753</td><td>-0.21438383</td><td>-0.040638972</td><td>0.31287557</td><td>0.13053437</td><td>0.21056062</td><td>-0.17663448</td><td>0.4711638</td><td>-0.44766247</td><td>-0.25908372</td><td>456</td><td>0</td><td>453</td><td>3</td><td>1.6154728</td><td>532.7527</td><td>0.67082113</td><td>1.5200918</td><td>95</td><td>False</td><td>--</td><td>1.3218182</td><td>0.052512195</td><td>0.04575323</td><td>-0.17927408</td><td>-0.13817462</td><td>-0.14348057</td><td>0.28335404</td><td>52</td><td>18</td><td>0.47625324</td><td>55</td><td>10</td><td>0</td><td>0.02243219</td><td>14.937529</td><td>0</td><td>0</td><td>1.0537542</td><td>0.34686399</td><td>0.54211473</td><td>0.18661475</td><td>0.26112166</td><td>-160.93187</td><td>11.643101</td><td>-49.5196</td><td>-18.276817</td><td>False</td><td>463</td><td>406.8027922071643</td><td>0.8366424</td><td>486.2326</td><td>19.163908</td><td>49</td><td>131.12932500944436</td><td>7.5622597</td><td>17.339966</td><td>20.044292</td><td>49</td><td>411.6313885062592</td><td>7.202879</td><td>57.148174</td><td>18.211624</td><td>1.3342109</td><td>0</td><td>4</td><td>0</td><td>2</td><td>0</td><td>1.8326683</td><td>0.88038445</td><td>0.95228386</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.45345312415049</td><td>32.052213497336396</td><td>131.94514551459454</td><td>-5.363735721979938</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>1.2690539e-13</td><td>8.101509e-09</td><td>0.9999808</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995415507212416</td><td>604995415507212416</td><td>1121073560</td><td>2016.0</td><td>132.90269498825973</td><td>0.09114704</td><td>12.053764354533875</td><td>0.04971196</td><td>1.1879090612228893</td><td>0.11641708</td><td>10.203907</td><td>11.598888</td><td>-11.218958981746571</td><td>0.11608775</td><td>-2.9443452919017328</td><td>0.08871522</td><td>-0.26412842</td><td>-0.25233537</td><td>-0.11315028</td><td>0.24070999</td><td>0.106827</td><td>0.13924819</td><td>-0.11569543</td><td>0.4072797</td><td>-0.42739227</td><td>-0.22483149</td><td>446</td><td>0</td><td>445</td><td>1</td><td>1.8081462</td><td>518.28613</td><td>0.107294634</td><td>0.23025046</td><td>31</td><td>False</td><td>1.3613788</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>51</td><td>18</td><td>0.1724862</td><td>54</td><td>10</td><td>0</td><td>0.018658096</td><td>14.613765</td><td>0</td><td>0</td><td>1.060795</td><td>0.35065162</td><td>0.54572237</td><td>0.21211335</td><td>0.27552962</td><td>-162.72627</td><td>10.725798</td><td>-51.76366</td><td>-17.15489</td><td>False</td><td>467</td><td>1579.5243598298712</td><td>1.2754537</td><td>1238.402</td><td>17.691051</td><td>51</td><td>489.18431095186634</td><td>7.9267406</td><td>61.713173</td><td>18.61486</td><td>49</td><td>1561.5285595556825</td><td>10.07557</td><td>154.98166</td><td>16.76402</td><td>1.2983104</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>1.8508396</td><td>0.92380905</td><td>0.92703056</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.46156893471053</td><td>32.071293599219416</td><td>131.96421831543842</td><td>-5.356611161858864</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>False</td><td>1.0586682e-13</td><td>9.790945e-12</td><td>0.9998432</td><td>3639.353</td><td>3628.8293</td><td>3659.327</td><td>4.4687</td><td>4.4257</td><td>4.5782</td><td>-1.1646</td><td>-1.197</td><td>-1.1097</td><td>565.6959</td><td>507.3263</td><td>595.9404</td><td>0.0327</td><td>0.0109</td><td>0.0634</td><td>0.0231</td><td>0.0077</td><td>0.0448</td><td>0.0125</td><td>0.0041</td><td>0.0244</td><td>PHOENIX</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995419802092544</td><td>604995419802092544</td><td>869320762</td><td>2016.0</td><td>132.9090143740873</td><td>8.776225</td><td>12.047674045524204</td><td>5.970883</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>-0.6727183</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>52</td><td>0</td><td>52</td><td>0</td><td>6.012172</td><td>131.38097</td><td>13.791595</td><td>7.413621</td><td>3</td><td>False</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>6</td><td>5</td><td>72.3971</td><td>7</td><td>0</td><td>1</td><td>0.48702332</td><td>20.856304</td><td>0</td><td>0</td><td>--</td><td>0.44347465</td><td>0.7228706</td><td>0.7612686</td><td>0.17088176</td><td>157.95143</td><td>22.3754</td><td>-58.248234</td><td>15.332692</td><td>False</td><td>57</td><td>49.57170793345413</td><td>1.5599574</td><td>31.777603</td><td>21.449282</td><td>5</td><td>43.26129640412661</td><td>23.580143</td><td>1.8346494</td><td>21.248293</td><td>6</td><td>135.50585357043605</td><td>15.278513</td><td>8.869047</td><td>19.418001</td><td>3.6062334</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1.8302917</td><td>-0.20098877</td><td>2.0312805</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.47114064586157</td><td>32.0743758834594</td><td>131.97185534826576</td><td>-5.360790904912166</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>0.0003153649</td><td>5.7881974e-05</td><td>0.99860877</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995419802460288</td><td>604995419802460288</td><td>1543210847</td><td>2016.0</td><td>132.90556785469846</td><td>0.013669019</td><td>12.055400688224605</td><td>0.007513301</td><td>1.1597425525817517</td><td>0.01668853</td><td>69.49339</td><td>11.187646</td><td>-10.80287029210822</td><td>0.01650426</td><td>-2.908852657995225</td><td>0.012806951</td><td>-0.28065306</td><td>-0.27346557</td><td>-0.16267675</td><td>0.20239884</td><td>0.085757494</td><td>0.1151879</td><td>-0.10713599</td><td>0.34414303</td><td>-0.36115107</td><td>-0.25182113</td><td>443</td><td>0</td><td>443</td><td>0</td><td>-0.31870022</td><td>430.2059</td><td>0.0</td><td>0.0</td><td>31</td><td>True</td><td>1.5730702</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>50</td><td>18</td><td>0.024619551</td><td>53</td><td>10</td><td>0</td><td>0.036752444</td><td>15.393812</td><td>0</td><td>0</td><td>0.98849326</td><td>0.3338461</td><td>0.5468028</td><td>0.19302952</td><td>0.27816382</td><td>-161.98051</td><td>10.490207</td><td>-51.535263</td><td>-16.657545</td><td>False</td><td>465</td><td>70892.07395315645</td><td>12.134449</td><td>5842.2163</td><td>13.560873</td><td>49</td><td>39237.441103010635</td><td>23.550888</td><td>1666.0706</td><td>13.854291</td><td>51</td><td>45209.74286439636</td><td>22.614208</td><td>1999.1742</td><td>13.109816</td><td>1.1912076</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0.74447536</td><td>0.29341793</td><td>0.45105743</td><td>31.13091</td><td>2.234427</td><td>2</td><td>23</td><td>6</td><td>12</td><td>10.732854</td><td>--</td><td>--</td><td>870.95386</td><td>--</td><td>6000.0</td><td>4.0</td><td>0.0</td><td>222</td><td>--</td><td>--</td><td>--</td><td>12.900816</td><td>0.030158794</td><td>17</td><td>--</td><td>NOT_AVAILABLE</td><td>215.46119395979125</td><td>32.0745293392247</td><td>131.9664867656605</td><td>-5.354272372663989</td><td>False</td><td>False</td><td>0</td><td>True</td><td>True</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>False</td><td>1.0508702e-13</td><td>5.249044e-13</td><td>0.99969655</td><td>5910.284</td><td>5892.1807</td><td>5931.3403</td><td>4.1922</td><td>4.1778</td><td>4.2127</td><td>-0.2472</td><td>-0.2639</td><td>-0.2278</td><td>791.1736</td><td>776.1463</td><td>802.6135</td><td>0.0192</td><td>0.0083</td><td>0.0315</td><td>0.0163</td><td>0.007</td><td>0.0268</td><td>0.0088</td><td>0.0037</td><td>0.0144</td><td>MARCS</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995557241423488</td><td>604995557241423488</td><td>1306453729</td><td>2016.0</td><td>132.86824245628247</td><td>0.013323755</td><td>12.054594721514993</td><td>0.0076630055</td><td>3.236482509901652</td><td>0.016293498</td><td>198.63644</td><td>18.565252</td><td>-14.625095569518995</td><td>0.016077653</td><td>11.43569830957364</td><td>0.013043184</td><td>-0.3344806</td><td>-0.28721768</td><td>-0.17951</td><td>0.24386293</td><td>0.116608724</td><td>0.1611855</td><td>-0.15306675</td><td>0.35201004</td><td>-0.3336151</td><td>-0.34569675</td><td>430</td><td>413</td><td>429</td><td>1</td><td>0.39090988</td><td>680.54346</td><td>0.06568869</td><td>5.5624347</td><td>31</td><td>True</td><td>1.537201</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>49</td><td>18</td><td>0.024855273</td><td>51</td><td>10</td><td>0</td><td>0.04982889</td><td>14.780896</td><td>1</td><td>0</td><td>1.0126643</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>False</td><td>440</td><td>142286.61488306426</td><td>27.420424</td><td>5189.074</td><td>12.804457</td><td>48</td><td>73603.14383039757</td><td>37.913094</td><td>1941.3647</td><td>13.171301</td><td>49</td><td>97521.04132684252</td><td>31.095934</td><td>3136.1348</td><td>12.275149</td><td>1.2026724</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0.89615154</td><td>0.36684418</td><td>0.52930737</td><td>18.650688</td><td>1.3678532</td><td>2</td><td>25</td><td>4</td><td>15</td><td>22.177797</td><td>--</td><td>--</td><td>902.36194</td><td>--</td><td>5500.0</td><td>4.5</td><td>-0.25</td><td>222</td><td>--</td><td>--</td><td>--</td><td>12.036779</td><td>0.029616056</td><td>21</td><td>21.98946</td><td>NOT_AVAILABLE</td><td>215.44412379904978</td><td>32.04100670984768</td><td>131.9314255132865</td><td>-5.364972847584413</td><td>False</td><td>False</td><td>0</td><td>True</td><td>True</td><td>True</td><td>False</td><td>False</td><td>True</td><td>True</td><td>False</td><td>1.0377799e-13</td><td>5.1836584e-13</td><td>0.9998262</td><td>5464.801</td><td>5456.386</td><td>5470.1465</td><td>4.5029</td><td>4.5004</td><td>4.5058</td><td>-0.2998</td><td>-0.3096</td><td>-0.2929</td><td>299.2962</td><td>297.9785</td><td>300.7418</td><td>0.0503</td><td>0.0443</td><td>0.0542</td><td>0.0416</td><td>0.0365</td><td>0.0448</td><td>0.0223</td><td>0.0196</td><td>0.024</td><td>MARCS</td></tr>\n",
              "<tr><td>1636148068921376768</td><td>Gaia DR3 604995625960900864</td><td>604995625960900864</td><td>370293302</td><td>2016.0</td><td>132.86012631198733</td><td>0.3690831</td><td>12.061529960780438</td><td>0.17868878</td><td>-0.2589974725180657</td><td>0.49583435</td><td>-0.5223468</td><td>18.274174</td><td>8.862420702295125</td><td>0.47091642</td><td>-15.981330492011868</td><td>0.32918176</td><td>-0.18219255</td><td>-0.18670705</td><td>-0.018829469</td><td>0.3256559</td><td>0.13709426</td><td>0.21099785</td><td>-0.15183385</td><td>0.4814858</td><td>-0.510185</td><td>-0.18199137</td><td>393</td><td>0</td><td>393</td><td>0</td><td>0.054245222</td><td>409.97205</td><td>0.0</td><td>0.0</td><td>31</td><td>False</td><td>1.5262265</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>45</td><td>18</td><td>0.6968113</td><td>47</td><td>9</td><td>0</td><td>0.05040617</td><td>13.537591</td><td>0</td><td>0</td><td>1.0010884</td><td>0.37039983</td><td>0.58312434</td><td>0.27797377</td><td>0.27640882</td><td>-168.99252</td><td>6.818056</td><td>-52.5546</td><td>-15.777559</td><td>False</td><td>404</td><td>255.18619854271213</td><td>0.8164218</td><td>312.56662</td><td>19.670223</td><td>40</td><td>119.46156052547802</td><td>8.257097</td><td>14.467743</td><td>20.145472</td><td>39</td><td>176.4866593807252</td><td>7.772541</td><td>22.70643</td><td>19.131115</td><td>1.1597344</td><td>0</td><td>1</td><td>0</td><td>2</td><td>0</td><td>1.0143566</td><td>0.47524834</td><td>0.5391083</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>NOT_AVAILABLE</td><td>215.43278681767953</td><td>32.03667795238986</td><td>131.92186045875124</td><td>-5.360455817959311</td><td>False</td><td>False</td><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>1.4463092e-07</td><td>7.995858e-06</td><td>0.9999812</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>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td>--</td><td></td></tr>\n",
              "</table></div>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ],
      "source": [
        "results"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "poLskc_svHJK"
      },
      "outputs": [],
      "source": [
        "#Converting to a dataframe\n",
        "df = results.to_pandas()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "5cnjgU06vHJL"
      },
      "outputs": [],
      "source": [
        "#Let us keep only specific columns for our purpose\n",
        "df = df[['ra','dec','pmra','pmdec','parallax',\n",
        "        'bp_rp','phot_g_mean_mag','radial_velocity']]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "deNQxIFuvHJM",
        "outputId": "56294432-d41f-4813-eeff-82176b279d11",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 424
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "              ra        dec       pmra      pmdec  parallax     bp_rp  \\\n",
              "0     132.881372  11.616982        NaN        NaN       NaN  1.579786   \n",
              "1     132.747652  11.914517        NaN        NaN       NaN  1.083797   \n",
              "2     132.823284  11.731291  -0.681158  -5.993880 -0.085869  1.027016   \n",
              "3     132.902925  11.570616   0.771359   5.086297  1.394759  2.271490   \n",
              "4     132.909668  11.574322 -11.145549  -2.796321  1.147851  1.455070   \n",
              "...          ...        ...        ...        ...       ...       ...   \n",
              "2096  132.902695  12.053764 -11.218959  -2.944345  1.187909  1.850840   \n",
              "2097  132.909014  12.047674        NaN        NaN       NaN  1.830292   \n",
              "2098  132.905568  12.055401 -10.802870  -2.908853  1.159743  0.744475   \n",
              "2099  132.868242  12.054595 -14.625096  11.435698  3.236483  0.896152   \n",
              "2100  132.860126  12.061530   8.862421 -15.981330 -0.258997  1.014357   \n",
              "\n",
              "      phot_g_mean_mag  radial_velocity  \n",
              "0           21.138096              NaN  \n",
              "1           15.822470              NaN  \n",
              "2           20.052446              NaN  \n",
              "3           19.251522              NaN  \n",
              "4           16.549810              NaN  \n",
              "...               ...              ...  \n",
              "2096        17.691051              NaN  \n",
              "2097        21.449282              NaN  \n",
              "2098        13.560873        31.130911  \n",
              "2099        12.804457        18.650688  \n",
              "2100        19.670223              NaN  \n",
              "\n",
              "[2101 rows x 8 columns]"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-dbd8fd8c-92fc-4e70-872a-1956e603ab7f\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
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              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>ra</th>\n",
              "      <th>dec</th>\n",
              "      <th>pmra</th>\n",
              "      <th>pmdec</th>\n",
              "      <th>parallax</th>\n",
              "      <th>bp_rp</th>\n",
              "      <th>phot_g_mean_mag</th>\n",
              "      <th>radial_velocity</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>132.881372</td>\n",
              "      <td>11.616982</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1.579786</td>\n",
              "      <td>21.138096</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>132.747652</td>\n",
              "      <td>11.914517</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1.083797</td>\n",
              "      <td>15.822470</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>132.823284</td>\n",
              "      <td>11.731291</td>\n",
              "      <td>-0.681158</td>\n",
              "      <td>-5.993880</td>\n",
              "      <td>-0.085869</td>\n",
              "      <td>1.027016</td>\n",
              "      <td>20.052446</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>132.902925</td>\n",
              "      <td>11.570616</td>\n",
              "      <td>0.771359</td>\n",
              "      <td>5.086297</td>\n",
              "      <td>1.394759</td>\n",
              "      <td>2.271490</td>\n",
              "      <td>19.251522</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>132.909668</td>\n",
              "      <td>11.574322</td>\n",
              "      <td>-11.145549</td>\n",
              "      <td>-2.796321</td>\n",
              "      <td>1.147851</td>\n",
              "      <td>1.455070</td>\n",
              "      <td>16.549810</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2096</th>\n",
              "      <td>132.902695</td>\n",
              "      <td>12.053764</td>\n",
              "      <td>-11.218959</td>\n",
              "      <td>-2.944345</td>\n",
              "      <td>1.187909</td>\n",
              "      <td>1.850840</td>\n",
              "      <td>17.691051</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2097</th>\n",
              "      <td>132.909014</td>\n",
              "      <td>12.047674</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>1.830292</td>\n",
              "      <td>21.449282</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2098</th>\n",
              "      <td>132.905568</td>\n",
              "      <td>12.055401</td>\n",
              "      <td>-10.802870</td>\n",
              "      <td>-2.908853</td>\n",
              "      <td>1.159743</td>\n",
              "      <td>0.744475</td>\n",
              "      <td>13.560873</td>\n",
              "      <td>31.130911</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2099</th>\n",
              "      <td>132.868242</td>\n",
              "      <td>12.054595</td>\n",
              "      <td>-14.625096</td>\n",
              "      <td>11.435698</td>\n",
              "      <td>3.236483</td>\n",
              "      <td>0.896152</td>\n",
              "      <td>12.804457</td>\n",
              "      <td>18.650688</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2100</th>\n",
              "      <td>132.860126</td>\n",
              "      <td>12.061530</td>\n",
              "      <td>8.862421</td>\n",
              "      <td>-15.981330</td>\n",
              "      <td>-0.258997</td>\n",
              "      <td>1.014357</td>\n",
              "      <td>19.670223</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>2101 rows × 8 columns</p>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-dbd8fd8c-92fc-4e70-872a-1956e603ab7f')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
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              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-dbd8fd8c-92fc-4e70-872a-1956e603ab7f button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-dbd8fd8c-92fc-4e70-872a-1956e603ab7f');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ],
      "source": [
        "df"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#removing rows which have nan values for pmra and pmdec\n",
        "df = df.dropna(subset = ['pmra','pmdec'])"
      ],
      "metadata": {
        "id": "CJ4v9Q78ISkd"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "KcINuCA3vHJN"
      },
      "outputs": [],
      "source": [
        "#Now let us plot the proper motion of the stars"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "D31dsNCbvHJN",
        "outputId": "81478460-d84b-4197-eecc-fa37757e2b66",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(10,8))\n",
        "plt.scatter(df.iloc[:, 2], df.iloc[:, 3],alpha=0.1, s = 1)\n",
        "plt.xlabel(df.columns[2])\n",
        "plt.ylabel(df.columns[3])\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "cWoCh35bvHJN"
      },
      "outputs": [],
      "source": [
        "#let us change the x and y limits of the plot"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "YtCFBZ4YvHJO",
        "outputId": "e3b3fbdd-5bf1-43f5-ee17-5256689149ee",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize=(10,8))\n",
        "plt.scatter(df.iloc[:, 2], df.iloc[:, 3],alpha=0.1, s = 1)\n",
        "plt.xlabel(df.columns[2])\n",
        "plt.ylabel(df.columns[3])\n",
        "plt.xlim(-20,20)\n",
        "plt.ylim(-20,20)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#Rewriting to a numpy array\n",
        "df_ = df[['pmra','pmdec']]\n",
        "X = df_.to_numpy()"
      ],
      "metadata": {
        "id": "3Xc14O8mCmCt"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "0wEgeFQUvHJO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        },
        "outputId": "9557a789-3d31-4cf6-e3c7-7fc82885bf40"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#Write Gaussian Mean Mixture model to seperate the stars belonging to the open cluster from the background stars\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#Now, isolate all the stars belonging to the open cluster\n"
      ],
      "metadata": {
        "id": "tn5wB91EHAaw"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "hc34lWb9vHJO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 606
        },
        "outputId": "398470ff-9b39-41ac-e05a-2b750caf6235"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#Use Quiverplot to observe proper motion\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Xtg7RS_hvHJO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 513
        },
        "outputId": "84f35e91-12d9-46ac-e753-3582df33e9af"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#plot bp_rp vs phot_g_mean_magnitude to obtain color magnitude diagram (HR Diagram)\n",
        "#Also invert the y-axis\n"
      ]
    }
  ],
  "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": "3.8.10"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}