StarChart.ipynb

{
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  "metadata": {
    "colab": {
      "name": "StarChart.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4zh3rG_bf_6q",
        "outputId": "6f92a738-f373-4dc4-96a8-9ca6c8cae53f"
      },
      "source": [
        "!pip install skyfield"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Requirement already satisfied: skyfield in /usr/local/lib/python3.6/dist-packages (1.35)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (from skyfield) (1.19.5)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from skyfield) (2020.12.5)\n",
            "Requirement already satisfied: sgp4>=2.2 in /usr/local/lib/python3.6/dist-packages (from skyfield) (2.15)\n",
            "Requirement already satisfied: jplephem>=2.13 in /usr/local/lib/python3.6/dist-packages (from skyfield) (2.15)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Tb-M5A3guuxO"
      },
      "source": [
        "from skyfield.api import Star, load\n",
        "from skyfield.data import hipparcos\n",
        "from matplotlib import pyplot as plt\n",
        "plt.style.use(['dark_background'])\n",
        "\n",
        "with load.open(hipparcos.URL) as f:\n",
        "    df = hipparcos.load_dataframe(f)\n",
        "\n",
        "ts = load.timescale()\n",
        "t = ts.now()\n",
        "\n",
        "eph = load('de421.bsp')\n",
        "earth = eph['earth']"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "shBeJLq9m4uw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 486
        },
        "outputId": "3a63b46b-c774-4cae-cbd8-4fb2447ca3d4"
      },
      "source": [
        "print(f'There are {len(df)} stars in the Hipparcos catalog ({hipparcos.URL}).')\n",
        "limiting_magnitude = 5.0\n",
        "df_lim = df[df['magnitude'] <= limiting_magnitude]\n",
        "print(f'After filtering out stars dimmer than mag {limiting_magnitude}, there are {len(df_lim)}')\n",
        "bright_stars = Star.from_dataframe(df_lim)\n",
        "df_lim['magnitude'].min()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "There are 118218 stars in the Hipparcos catalog (https://cdsarc.u-strasbg.fr/ftp/cats/I/239/hip_main.dat).\n",
            "After filtering out stars dimmer than mag 5.0, there are 1627\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
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              "<div>\n",
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              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>magnitude</th>\n",
              "      <th>ra_degrees</th>\n",
              "      <th>dec_degrees</th>\n",
              "      <th>parallax_mas</th>\n",
              "      <th>ra_mas_per_year</th>\n",
              "      <th>dec_mas_per_year</th>\n",
              "      <th>ra_hours</th>\n",
              "      <th>epoch_year</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>hip</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>122</th>\n",
              "      <td>4.78</td>\n",
              "      <td>0.399379</td>\n",
              "      <td>-77.065294</td>\n",
              "      <td>14.77</td>\n",
              "      <td>-56.52</td>\n",
              "      <td>-176.95</td>\n",
              "      <td>0.026625</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>154</th>\n",
              "      <td>4.37</td>\n",
              "      <td>0.489965</td>\n",
              "      <td>-6.013972</td>\n",
              "      <td>7.86</td>\n",
              "      <td>46.62</td>\n",
              "      <td>-41.32</td>\n",
              "      <td>0.032664</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>301</th>\n",
              "      <td>4.55</td>\n",
              "      <td>0.934885</td>\n",
              "      <td>-17.335970</td>\n",
              "      <td>14.31</td>\n",
              "      <td>28.57</td>\n",
              "      <td>-7.28</td>\n",
              "      <td>0.062326</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>355</th>\n",
              "      <td>4.99</td>\n",
              "      <td>1.125510</td>\n",
              "      <td>-10.509494</td>\n",
              "      <td>2.03</td>\n",
              "      <td>-6.49</td>\n",
              "      <td>-11.88</td>\n",
              "      <td>0.075034</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>443</th>\n",
              "      <td>4.61</td>\n",
              "      <td>1.333941</td>\n",
              "      <td>-5.707833</td>\n",
              "      <td>25.38</td>\n",
              "      <td>-8.29</td>\n",
              "      <td>88.19</td>\n",
              "      <td>0.088929</td>\n",
              "      <td>1991.25</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>118131</th>\n",
              "      <td>4.63</td>\n",
              "      <td>359.439790</td>\n",
              "      <td>25.141479</td>\n",
              "      <td>7.54</td>\n",
              "      <td>-36.06</td>\n",
              "      <td>-32.25</td>\n",
              "      <td>23.962653</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>118209</th>\n",
              "      <td>4.88</td>\n",
              "      <td>359.668377</td>\n",
              "      <td>-3.555807</td>\n",
              "      <td>14.58</td>\n",
              "      <td>-56.52</td>\n",
              "      <td>-72.34</td>\n",
              "      <td>23.977892</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>118243</th>\n",
              "      <td>4.88</td>\n",
              "      <td>359.752207</td>\n",
              "      <td>55.754941</td>\n",
              "      <td>2.14</td>\n",
              "      <td>9.26</td>\n",
              "      <td>-5.09</td>\n",
              "      <td>23.983480</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>118268</th>\n",
              "      <td>4.03</td>\n",
              "      <td>359.827510</td>\n",
              "      <td>6.863594</td>\n",
              "      <td>30.78</td>\n",
              "      <td>148.49</td>\n",
              "      <td>-112.16</td>\n",
              "      <td>23.988501</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>118322</th>\n",
              "      <td>4.49</td>\n",
              "      <td>359.978792</td>\n",
              "      <td>-65.577078</td>\n",
              "      <td>8.71</td>\n",
              "      <td>48.63</td>\n",
              "      <td>-22.33</td>\n",
              "      <td>23.998586</td>\n",
              "      <td>1991.25</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>1627 rows × 8 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "        magnitude  ra_degrees  ...   ra_hours  epoch_year\n",
              "hip                            ...                       \n",
              "122          4.78    0.399379  ...   0.026625     1991.25\n",
              "154          4.37    0.489965  ...   0.032664     1991.25\n",
              "301          4.55    0.934885  ...   0.062326     1991.25\n",
              "355          4.99    1.125510  ...   0.075034     1991.25\n",
              "443          4.61    1.333941  ...   0.088929     1991.25\n",
              "...           ...         ...  ...        ...         ...\n",
              "118131       4.63  359.439790  ...  23.962653     1991.25\n",
              "118209       4.88  359.668377  ...  23.977892     1991.25\n",
              "118243       4.88  359.752207  ...  23.983480     1991.25\n",
              "118268       4.03  359.827510  ...  23.988501     1991.25\n",
              "118322       4.49  359.978792  ...  23.998586     1991.25\n",
              "\n",
              "[1627 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wix1PJcig1So",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "0a41df41-f5b9-4b00-a3c1-697d11d51c5d"
      },
      "source": [
        "fig, ax = plt.subplots(5, figsize=(10,48))\n",
        "for mag in range(1,6):\n",
        "  df_lim = df[df['magnitude'] <= mag]\n",
        "  bright_stars = Star.from_dataframe(df_lim)\n",
        "  astrometric = earth.at(t).observe(bright_stars)\n",
        "  ra, dec, distance = astrometric.radec()\n",
        "  ax[mag-1].scatter(ra.hours, dec.degrees, 2*(5-df_lim['magnitude']), 'w')\n",
        "  ax[mag-1].set_xlim(7.0, 4.0)\n",
        "  ax[mag-1].set_ylim(-20, 20)\n",
        "  ax[mag-1].grid(color='gray', linestyle='-', linewidth=.5, alpha=.5)\n",
        "  ax[mag-1].set(title=f'Stars in Orion brighter than magnitude {mag}')\n",
        "  ax[mag-1].set_xlabel('right ascension')\n",
        "  ax[mag-1].set_ylabel('declination')\n",
        "plt.tight_layout()\n",
        "\n",
        "fig.savefig(f'bright_stars_.png')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/skyfield/functions.py:80: RuntimeWarning: invalid value encountered in remainder\n",
            "  phi = arctan2(y, x) % tau\n",
            "/usr/local/lib/python3.6/dist-packages/skyfield/functions.py:80: RuntimeWarning: invalid value encountered in remainder\n",
            "  phi = arctan2(y, x) % tau\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x3456 with 5 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}