{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "3ba27097-ab07-4860-8a65-8829230064dd",
      "metadata": {},
      "outputs": [],
      "source": [
        "from lightkurve import search_targetpixelfile\n",
        "from lightkurve import TessTargetPixelFile\n",
        "from lightkurve import search_lightcurve\n",
        "import lightkurve as lk\n",
        "import numpy as np\n",
        "%matplotlib inline\n",
        "import matplotlib.pyplot as plt"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "2f7c4913-31b4-4ef4-a1d4-6ff32c8305d1",
      "metadata": {},
      "outputs": [],
      "source": [
        "klc = lk.search_lightcurve(\"Kepler-8\", author=\"Kepler\", cadence=\"long\", quarter=4).download()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "08381276-1cc8-4a36-a4ea-bebd76c3664a",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<Axes: xlabel='Time - 2454833 [BKJD days]', ylabel='Flux [$\\\\mathrm{e^{-}\\\\,s^{-1}}$]'>"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "klc.plot()\n",
        "#this plot shows the brightness of Kepler-8 over time, the dips in\n",
        "#brightness are the transits of the found planet orbiting the star"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "ac903739-919c-4bf5-be70-068e58d7cb10",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "period = np.linspace(1, 20, 10000)\n",
        "lc = klc.flatten(window_length=900)\n",
        "bls = lc.to_periodogram(method='bls', period=period, frequency_factor=500);\n",
        "bls.plot();\n",
        "#this plot shows the likelihood of the box least squares fit for each of the periods in the array\n",
        "\n",
        "#the highest spike shows the most likely period, the other spikes are just fractional\n",
        "#harmonics of the actual period"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "f27ecd08-0741-4dc1-8868-e6c129cdd566",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "$3.5234523 \\; \\mathrm{d}$"
            ],
            "text/plain": [
              "<Quantity 3.52345235 d>"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "#using _at_max_power to get the value at the highest spike\n",
        "planet_period = bls.period_at_max_power\n",
        "planet_t0 = bls.transit_time_at_max_power\n",
        "planet_dur = bls.duration_at_max_power\n",
        "\n",
        "planet_period"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "7fd5f4e1-4c08-4b54-901e-f30181bb70e4",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "ax = lc.fold(period=planet_period, epoch_time=planet_t0).scatter()\n",
        "ax.set_xlim(-2, 2);\n",
        "#we use this to confirm that the period and transit time correspond to a transit\n",
        "#signal by phase-folding"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "ec8d11e4-18f7-4df3-a4fd-46e4e9234297",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "planet_model = bls.get_transit_model(period=planet_period,\n",
        "                                       transit_time=planet_t0,\n",
        "                                       duration=planet_dur)\n",
        "ax = lc.fold(planet_period, planet_t0).scatter()\n",
        "planet_model.fold(planet_period, planet_t0).plot(ax=ax, c='r', lw=2)\n",
        "ax.set_xlim(-2, 2);\n",
        "#easier look at the flux vs phase"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "90a48fbd-ff6f-4b47-8331-f205d35face3",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pg = klc.to_periodogram(normalization='psd',\n",
        "                       minimum_frequency=1500,\n",
        "                       maximum_frequency=2000)\n",
        "ax2 = pg.plot();\n",
        "#using a periodogram to find the peak which shows us the frequency of \n",
        "#maximum oscillation amplitude (aka nu_max)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "59809a12-74bd-4f26-8578-9a7c45c07de3",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "snr = pg.flatten()\n",
        "ax3 = snr.plot();\n",
        "#flattening the noise to get a better idea of what nu_max is"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "c038000b-0afd-4537-9d66-5f860b4d759e",
      "metadata": {},
      "outputs": [],
      "source": [
        "seismology = snr.to_seismology()\n",
        "#this converts the periodogram to a seismology object which provides\n",
        "#both estimate and diagnose methods"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "8791e2c3-6382-44b7-b272-9af8f070c97d",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "numax: $1685.00$ $\\mathrm{\\mu Hz}$ (method: ACF2D)"
            ],
            "text/plain": [
              "numax: 1685.00 uHz (method: ACF2D)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology.estimate_numax()\n",
        "#this is the estimated value for nu_max"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "c51588f3-ca8f-4ee0-8536-b813dec1baac",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x1200 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "seismology.diagnose_numax();\n",
        "#this is how the program got the value for nu_max\n",
        "\n",
        "#top panel is the original periodogram\n",
        "\n",
        "#middle panel is an image that represents the Autocorrelation Function (ACF) values calculated for different\n",
        "#parts of the power spectrum, the color shows the strength of the autocorrelation\n",
        "#function. the darkest colors show where the frequency of max oscillation occur\n",
        "\n",
        "#the bottom panel shows a collapsed y-axis version of the middle panel: represented\n",
        "#by the blue line, Lightkurve then estimates the max of that line which is nu_max"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "8511a455-c6c9-42e7-a22b-cbff6ccf0ed2",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "deltanu: $78.92$ $\\mathrm{\\mu Hz}$ (method: ACF2D)"
            ],
            "text/plain": [
              "deltanu: 78.92 uHz (method: ACF2D)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology.estimate_deltanu()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "b60ff468-bb1b-4eed-8a66-79a0c74e07a3",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 848.5x800 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "seismology.diagnose_deltanu();\n",
        "#the top panel is the region where the ACF is evaluated which is one Full Width\n",
        "#Half Maximum on either side of nu_max, this is the region that encompasses the\n",
        "#strongest modes of oscillation\n",
        "\n",
        "#the bottom panel is the result of calculating the correlation of the data with\n",
        "#itself, lightkurve finds the peak that is nearest to the empirical delta_nu\n",
        "#that peak is the measured delta_nu"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "1e8444ad-23ca-486d-b271-c773ee6fefaf",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "mass: $1.56$ $\\mathrm{M_{\\odot}}$ (method: Uncorrected Scaling Relations)"
            ],
            "text/plain": [
              "mass: 1.56 solMass (method: Uncorrected Scaling Relations)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology.estimate_mass()\n",
        "#lightkurve has scaling relations built into their package, and since the\n",
        "#effective temperature is already known, and since we just calculated nu_max\n",
        "#and delta_nu, we can find mass, radius, and surface gravity,\n",
        "#surface gravity is expressed in log space"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "76c3aa62-612e-4ed1-b5ad-72b93d5472e2",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "radius: $1.66$ $\\mathrm{R_{\\odot}}$ (method: Uncorrected Scaling Relations)"
            ],
            "text/plain": [
              "radius: 1.66 solRad (method: Uncorrected Scaling Relations)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology.estimate_radius()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "e16057b0-ae96-46a6-8d39-279b7d1f4d0e",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/latex": [
              "logg: $4.19$ $\\mathrm{dex}$ (method: Uncorrected Scaling Relations)"
            ],
            "text/plain": [
              "logg: 4.19 dex (method: Uncorrected Scaling Relations)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology.estimate_logg()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "b9b88f1e-5274-40fa-90e0-fd97c6858315",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Seismology(ID: KIC 6922244) - computed values:\n",
              " * numax: 1685.00 uHz (method: ACF2D)\n",
              " * deltanu: 78.92 uHz (method: ACF2D)\n",
              " * mass: 1.56 solMass (method: Uncorrected Scaling Relations)\n",
              " * radius: 1.66 solRad (method: Uncorrected Scaling Relations)\n",
              " * logg: 4.19 dex (method: Uncorrected Scaling Relations)"
            ]
          },
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "seismology\n",
        "#lays out all values we got for Kepler-8"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "a33d5ef2-1783-4679-9e92-173d48ec4341",
      "metadata": {},
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