henrietta_swan_leavitt_.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "henrietta-swan-leavitt .ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyNCV7nbxpYtyZwuIuyZMf99",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/DeepSkyWonder/cepheids/blob/main/henrietta_swan_leavitt_.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "i5iL6lDsfCdC"
      },
      "source": [
        "# **Henrietta Swan Leavitt - Period Luminosity Relation**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yFzGzmEWuh_M"
      },
      "source": [
        "**Import Python Libraries**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5YBH4W9Uew8b"
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n"
      ],
      "execution_count": 60,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9V8t8ArauNLA"
      },
      "source": [
        "**Harvard Circular 173 - Herietta's Cepheids**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nVBAbz2C0M3x"
      },
      "source": [
        "![Havard Circular 173](https://raw.githubusercontent.com/DeepSkyWonder/cepheids/cd00a95a117ad203696e8115624db9c5ce92c51b/harvard-college-observatory-circular-173.png)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "imREhI102xOx"
      },
      "source": [
        "![Harvard Circular 173 - Table 1](https://raw.githubusercontent.com/DeepSkyWonder/cepheids/cd00a95a117ad203696e8115624db9c5ce92c51b/harvard-college-observatory-circular-173-table-1.png)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pzrD2tUPuA5f"
      },
      "source": [
        "**Download CSV file of Henrietta's Stars from GitHub**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xR4NOXFNjB6V"
      },
      "source": [
        "url = 'https://raw.githubusercontent.com/DeepSkyWonder/cepheids/main/heriettas-stars.csv'"
      ],
      "execution_count": 61,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 824
        },
        "id": "QaikPcJSjqpk",
        "outputId": "48ab93e5-1633-456c-b48f-0ec25f16efd5"
      },
      "source": [
        "henriettas_stars_dataframe = pd.read_csv(url)\n",
        "henriettas_stars_dataframe"
      ],
      "execution_count": 62,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\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>harvard-star-designation</th>\n",
              "      <th>mag_max</th>\n",
              "      <th>mag_min</th>\n",
              "      <th>period</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1505</td>\n",
              "      <td>14.8</td>\n",
              "      <td>16.1</td>\n",
              "      <td>1.25336</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1436</td>\n",
              "      <td>14.8</td>\n",
              "      <td>16.4</td>\n",
              "      <td>1.66370</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1446</td>\n",
              "      <td>14.8</td>\n",
              "      <td>16.4</td>\n",
              "      <td>1.76200</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>1506</td>\n",
              "      <td>15.1</td>\n",
              "      <td>16.3</td>\n",
              "      <td>1.87502</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>1413</td>\n",
              "      <td>14.7</td>\n",
              "      <td>15.6</td>\n",
              "      <td>2.17352</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>1460</td>\n",
              "      <td>14.4</td>\n",
              "      <td>15.7</td>\n",
              "      <td>2.91300</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>1422</td>\n",
              "      <td>14.7</td>\n",
              "      <td>15.9</td>\n",
              "      <td>3.50100</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>842</td>\n",
              "      <td>14.6</td>\n",
              "      <td>16.1</td>\n",
              "      <td>4.28970</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>1425</td>\n",
              "      <td>14.3</td>\n",
              "      <td>15.3</td>\n",
              "      <td>4.54700</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>1742</td>\n",
              "      <td>14.3</td>\n",
              "      <td>15.5</td>\n",
              "      <td>4.98660</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>1646</td>\n",
              "      <td>14.4</td>\n",
              "      <td>15.4</td>\n",
              "      <td>5.31100</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>1649</td>\n",
              "      <td>14.3</td>\n",
              "      <td>15.2</td>\n",
              "      <td>5.32300</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>1492</td>\n",
              "      <td>13.8</td>\n",
              "      <td>14.8</td>\n",
              "      <td>6.29260</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>1400</td>\n",
              "      <td>14.1</td>\n",
              "      <td>14.8</td>\n",
              "      <td>6.66500</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>1355</td>\n",
              "      <td>14.0</td>\n",
              "      <td>14.8</td>\n",
              "      <td>7.48300</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>1374</td>\n",
              "      <td>13.9</td>\n",
              "      <td>15.2</td>\n",
              "      <td>8.39700</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>818</td>\n",
              "      <td>13.6</td>\n",
              "      <td>14.7</td>\n",
              "      <td>10.33600</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>1610</td>\n",
              "      <td>13.4</td>\n",
              "      <td>14.6</td>\n",
              "      <td>11.64500</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>18</th>\n",
              "      <td>1365</td>\n",
              "      <td>13.8</td>\n",
              "      <td>14.8</td>\n",
              "      <td>12.41700</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>19</th>\n",
              "      <td>1351</td>\n",
              "      <td>13.4</td>\n",
              "      <td>14.4</td>\n",
              "      <td>13.08000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>827</td>\n",
              "      <td>13.4</td>\n",
              "      <td>14.3</td>\n",
              "      <td>13.47000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>822</td>\n",
              "      <td>13.0</td>\n",
              "      <td>14.6</td>\n",
              "      <td>16.75000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>22</th>\n",
              "      <td>823</td>\n",
              "      <td>12.2</td>\n",
              "      <td>14.1</td>\n",
              "      <td>31.94000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>23</th>\n",
              "      <td>824</td>\n",
              "      <td>11.4</td>\n",
              "      <td>12.8</td>\n",
              "      <td>65.80000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>24</th>\n",
              "      <td>821</td>\n",
              "      <td>11.2</td>\n",
              "      <td>12.1</td>\n",
              "      <td>127.00000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "    harvard-star-designation  mag_max  mag_min     period\n",
              "0                       1505     14.8     16.1    1.25336\n",
              "1                       1436     14.8     16.4    1.66370\n",
              "2                       1446     14.8     16.4    1.76200\n",
              "3                       1506     15.1     16.3    1.87502\n",
              "4                       1413     14.7     15.6    2.17352\n",
              "5                       1460     14.4     15.7    2.91300\n",
              "6                       1422     14.7     15.9    3.50100\n",
              "7                        842     14.6     16.1    4.28970\n",
              "8                       1425     14.3     15.3    4.54700\n",
              "9                       1742     14.3     15.5    4.98660\n",
              "10                      1646     14.4     15.4    5.31100\n",
              "11                      1649     14.3     15.2    5.32300\n",
              "12                      1492     13.8     14.8    6.29260\n",
              "13                      1400     14.1     14.8    6.66500\n",
              "14                      1355     14.0     14.8    7.48300\n",
              "15                      1374     13.9     15.2    8.39700\n",
              "16                       818     13.6     14.7   10.33600\n",
              "17                      1610     13.4     14.6   11.64500\n",
              "18                      1365     13.8     14.8   12.41700\n",
              "19                      1351     13.4     14.4   13.08000\n",
              "20                       827     13.4     14.3   13.47000\n",
              "21                       822     13.0     14.6   16.75000\n",
              "22                       823     12.2     14.1   31.94000\n",
              "23                       824     11.4     12.8   65.80000\n",
              "24                       821     11.2     12.1  127.00000"
            ]
          },
          "metadata": {},
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "h6Ohjf-RutD5"
      },
      "source": [
        "**Calculate the Log of the Periods**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rr_bH3DPkWOq"
      },
      "source": [
        "log_periods = np.log10(henriettas_stars_dataframe['period'])"
      ],
      "execution_count": 63,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6FwYtj9wu0sp"
      },
      "source": [
        "**Calculate a Linear Fit to minimum and maximum magnitude curvers**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XhaaAIFzorVl"
      },
      "source": [
        "# Extract Min and Max Magnitudes from the Data Table\n",
        "mag_max = henriettas_stars_dataframe['mag_max']\n",
        "mag_min = henriettas_stars_dataframe['mag_min']\n",
        "\n",
        "# Create Linear Models and Predictors for the Magnitude Data\n",
        "model_mag_max = np.polyfit(log_periods, mag_max, 1)\n",
        "predict_mag_max = np.poly1d(model_mag_max)\n",
        "\n",
        "model_mag_min = np.polyfit(log_periods, mag_min, 1)\n",
        "predict_mag_min = np.poly1d(model_mag_min)\n",
        "\n",
        "# Create Array of Log-Period Values\n",
        "log_period_range = np.arange(0, 2.3, 0.1)\n",
        "\n",
        "# Use the Linear Model to Predict Minimum and Maximum Magnitude Values\n",
        "prediction_mag_max = predict_mag_max(log_period_range)\n",
        "prediction_mag_min = predict_mag_min(log_period_range)"
      ],
      "execution_count": 89,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ymxYsFOR3ImP"
      },
      "source": [
        "**Plot the Magnitude of Henrietta's Cepheids against the Log of their Periods and display the Linear Model Fit**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 939
        },
        "id": "ei5vNFI2md9t",
        "outputId": "6499713f-3a92-4902-8904-2914d208acea"
      },
      "source": [
        "plt.figure(figsize=(5.2,5.2), dpi=200)\n",
        "plt.plot(log_periods, mag_max, 'bo-', linewidth=1, markersize=3)\n",
        "plt.plot(log_period_range, prediction_mag_max, 'r', linewidth=1)\n",
        "plt.plot(log_periods, mag_min, 'bo-', linewidth=1, markersize=3)\n",
        "plt.plot(log_period_range, prediction_mag_min, 'r', linewidth=1)\n",
        "plt.xlabel('log period (days)')\n",
        "plt.ylabel('magnitude')\n",
        "plt.xticks(np.arange(0, 2.21, 0.2))\n",
        "plt.yticks(np.arange(11, 16.51, 0.5))\n",
        "plt.xlim([0.0, 2.2])\n",
        "plt.ylim([11.0, 16.5])\n",
        "plt.gca().invert_yaxis()\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "execution_count": 98,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1040x1040 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8PCTPOu1kV3C"
      },
      "source": [
        ""
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5_lzC-ZZx8j1"
      },
      "source": [
        ""
      ],
      "execution_count": 65,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0WWRpLyt4PTH"
      },
      "source": [
        "**Harvard Circular 173 - Figure 2 - Plot of Log-Period versus Min and Max Magnitude**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4NgBVC_a4jUK"
      },
      "source": [
        "![Period-Magnitude Plot](https://raw.githubusercontent.com/DeepSkyWonder/cepheids/main/harvard-college-observatory-circular-173-fig-1.png)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "n4V4ru7aA82x"
      },
      "source": [
        "![Conclusion](https://raw.githubusercontent.com/DeepSkyWonder/cepheids/main/harvard-college-observatory-circular-173-page-3.png)"
      ]
    }
  ]
}