{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Replicating Vanderburg & Johnson 2014 using lightkurve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Vanderburg and Johnson 2014](http://adsabs.harvard.edu/abs/2014PASP..126..948V) introduced a method for \"Self Flat Fielding\" by tracking how the lightcurve changes with motion of the spacecraft. \n", "\n", "We reproduce the publication algorithm in a [companion notebook](replicate-vanderburg-2014-k2sff.ipynb), which explains how the method works, and illustrates some of the python code underlying the code we put into `lightkurve`.\n", "\n", "In this notebook we replicate the K2SFF method using only the `lightkurve` package. We follow the same example K2 source, #60021426, as that in the publication. We start from the Target Pixel File and proceed to a \"systematics corrected\" lightcurve plot similar to the one in the paper and in our companion notebook. We hope to show the ease-of-use of the new `lightkurve` toolkit, and that it achieves identical performace with published papers." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from lightkurve import KeplerTargetPixelFile\n", "from lightkurve import SFFCorrector" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pathname = 'https://archive.stsci.edu/pub/k2/eng/long_cadence/kplr060021426-2014044044430_lpd-targ.fits'\n", "tpf = KeplerTargetPixelFile(pathname)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We saved the mask for this target in [our previous notebook](replicate-vanderburg-2014-k2sff.ipynb), so we can just load it directly." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "VDB_J_mask = np.load('VDB_J_2014_mask.npy')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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B6k+Bj7j7Dr2u7r7ezBYCU8xscpX7VKdly/xr9iIiItJj1KPavBqqRzXiVGAQ\n8LMsXRUAZjYAuJEQpP4IOLVakFrmrmx5fJWyEyrqiIiISC9Taqrm1XCBqpntMCrBzKYTZqBqBS4r\ne34gcDPwXsJsVqdntw/k+V62vNDMXh6UZWZ7AZ8CNgM/7PwRiIiIiEiKhrv0D/zOzDYCfwXWAa8C\n3kEIID/g7uVD1L+Xla0AFgJfrDJKcZa7zyr94u5/NLOvA+cCj5vZjYSJAT4EjAHO0axUIiIi9aE7\nekHVq1o/GjFQvRE4mTD6fzCwCPg+8O9VAshSvtVxwBdz2pxV/ou7n2dmjwNnAx8HOoBHgCvc/dYu\n7r+IiIiIJGi4QNXdrwCuSKx7TBe2cy1wbWfXFxERkZ6hHtDm1XCBarPo06dPNNl1LAF1rBygb9++\nXa4zfPjwaBux5OsA06ZNi9ZZuXJlbnlKYvuUZNixZOTPP/98tI0ZM2ZE68ybNy+3PCUpfcr7nJLQ\nPFYnJcl+ygQSsUTjy5btkD2uU2LJxlOSr6dMDpHyBzB2zqWck6NGxecRib22H/rQh6JtHHDAAdE6\nMUuWLInWufvuu6N1Us7/jo78YQXjxo2LtpEyCUUs0X5Kwv+U9zmWRD/ls5wiZV9i3+2xCQHqiQLV\n5tVwg6lEREREZNegHlURERFpaOpRbV7qURURERGRuqQeVREREWlo6lFtXgpURUREpGEpj2pz06V/\nEREREalL6lEVERGRhqYe0OalHlURERERqUvqUe0l7e3t0eT2o0ePzi1PSX6/ePHiaJ3Jkyfnlq9e\nvTraRkoi+KeeeipaZ+zYsbnlsSTvkHbMsWTYL774YrSNlEkOjj/++Nzy2bNnR9tIOZ6RI0dG68SS\nq8eSyafuS6xnY+nSpdE2YsnXAdra2nLLUxKnxybdANiwYUO0TmxbKedtSoL22OuSkti+CDfffHO0\nTkqy+JResNh5mfLaxiYNgHgi/pQJJFImQoi9hymvW8r7nDJBQezcTvlOqBfqUW1e6lEVERERkbqk\nHlURERFpaOpRbV4KVEVERKShKVBtXrr0LyIiIiJ1ST2qIiIi0rCU8L+5qUdVREREROqSelRFRESk\noakHtHkpUO0lW7duZd26dbl1xo8fn1u+YsWK6HZS8gfGcv+l5PUbOHBgtE5KXss1a9Z0eTspuf82\nbdqUW56Sg/Cll16K1vntb3+bWz59+vRoG8uWLYvWieXkhXiezpQ8kSli+VpTXtvY+wPxXJJF5aNM\nydMZayfhS7sXAAAgAElEQVT2mkA8jyfE/xhfcMEF0Ta+9KUvRevccsstueUpuZVTPocpOWpj50LK\n6zZ16tRonVWrVuWWp+zrqFGjonVi7aTkZx4zZky0Tsq5nfKdnCfls9FTFKg2L136FxEREZG6pEBV\nREREGlppQFVRjyKZ2ZvM7CYzW2xmm7PlHWb2jop6A83sU2b2oJmtMLNWM3vazL5tZnvmtH9atk6r\nma0xs1lm9q5CD6IXKVAVERER6QZmdhFwL3AUcDtwFXALMBo4pqxeP+BO4DvAcOB/ge8By4BzgMfM\n7MAq7V8JzAQmA9cA1wEHA7eY2dnddFg9SveoioiISEOrx3tUzewk4MvA74EPuPu6ivLyG6zfD7yB\nEKy+zd07yupdCnwROB84o+z5GcB5wAvAdHdvyZ6/ApgNXGlmt7r7/OKPrueoR1VEREQaVtGX/Yu4\n/G9mfYCvARuAf6gMUrP9biv7dZ9s+evyIDXzy2xZOcL6rGx5eSlIzdqdD3wXGAic3qkDqCMKVEVE\nRESKNQPYG/gN0GJm7zSzz5nZP5vZ66vUfzJbnpAFueVK95v+vuL5Y7Pl7VXau62iTsPSpX8RERFp\naN106X9/M5tdY3tHRtYt5R5cCjxCuG/0ZWZ2L3Ciuy/Pnvo18AvgA8ATZvZ7YAtwJPBG4GrC/aul\n9YcCU4BWd19cZftzsuUrI/tZ99SjKiIiIlKsCdnyLGAwcBxhkNRBwG8Jg6t+XqrsIdI+EbgE2A/4\nNOGe1DcTBmP91N3Lk1CPzJa1ko+Xno8n961z6lHtJe4eTQK+du3a3PKUZP4pdWJJ9lOSOqckqV6/\nfn20TiwpfUoS99hECRBPOh9L/g3Qt2/faJ3Fi6v9o7vNfffdF23jNa95TbTOc889F60Te+1aWlpy\nyyGt1yL22qYk8x8yZEi0TuxcGTx4cLSNlOMZOnRotM6CBQtyy1MmqkipE0tun/L5OPjgg6N1PvnJ\nT+aWL1++PLc81fDhw6N1YgnyU16317++2pXW7d1555255a2trdE2Us7t2PfG2LFjo22kTD6Qcm7H\n/gbFJgGppwFM3bQvzyT0nNZSeqON0HP6WPb7k2b2fuA54Ggze727/8nMBgE/Ak4APkW4L3UDYYDV\nt4F7zewkd/8lO6d+3qROUo+qiIiISLFK//nPLQtSAXD3jYReVYBST8TngZOAC939v9x9ibuvdffb\nCD2t/YFvlTVT6mEaSXWxHteGoUBVREREGlo9jfjPPJsta803XApkS5d+SgOm7q5ybI8Bq4A9zWxs\n9tx6YCEwzMwmV2l/WraMX26rcwpURUREpKHVYaB6L9AOTDOzAVXKD8qW87Nl6R6WHe5dM7OBwIjs\n1/L7e+7KlsdXaf+EijoNS4GqiIiISIHcfQVwA+ES/BfLy8zsrcDbCZflS6mlSgMWvpAFpuUuIYwp\neqgiH+v3suWFZja6rP29CPe5bgZ+2MVD6XUaTCUiIiINq8Be0O3aLMC5wGsJgeRRwIPAnoRZqLYC\nH3P30q0BlwPvBt4CPGNmtwMbCYOpXpP9/M8V+/hHM/t6tp3HzexGYADwIWAMcE6jz0oFClRFRERE\nCufuy8zstcBFhOD0dcA6Qs7Uf3P3P5fVXWhmRwCfA95JmFGqD7AYmAl8zd2fqbKN88zsceBs4ONA\nByFv6xXufms3Hl6PUaAqIiIiDa2eUmWVc/dVhB7PcxPqLifkTj1/J7dxLXBtp3awAShQFRERkYZW\nr4GqdJ0C1V7i7rS1teXWWbZsWW756tW1sl5sM2pUfFKKWALqWAL3VCkJ8mOTC6RMLBB7XSH+uqS0\nkbIvscTcffrExzM+8MAD0ToHHHBAtM6LL76YW75u3brcckjb35hYEnGAfv3iX01F7EvKZBYpkz+8\n/e1vzy1PmXxgzpw50TqxiQVSJm049NBDo3Vik4CkSGljxIgR0Tqx1y4lQLntttuidWKTJaScbynf\nt7HtpHzfpnyXpnw/xSZcKGLSGZGuUqAqIiIiDU09qs1L6alEREREpC6pR1VEREQamnpUm5cCVRER\nEWlYdZxHVQqgS/8iIiIiUpfUoyoiIiINTT2gzUs9qiIiIiJSl9Sj2ku2bNkSzWs5ZcqU3PLW1tbo\ndlJy/8Vy8m3evDnaRkrey1hOPoAhQ4Z0eV9ScvvF8jdOnDgx2saKFSuidZYvX55bvmTJkmgbKflN\nFy1aFK2z77775pavX78+2kZKns6BAwfmlheVezHWTuxcgrRcxCl5X9vb23PLUz4fKa9L7HwaN25c\ntI1YLlaI729Krs+hQ4dG66S0s2nTptzylBy1Kb1tsZy6sfcY0nKXxvY3ZTsp+X9TXpf+/fvnlsfO\nyXrqxaynfZFiqUdVREREROqSelRFRESkoalHtXkpUBUREZGGpkC1eenSv4iIiIjUJfWoioiISMNS\nwv/mph5VEREREalL6lEVERGRhqYe0OalQFVEREQamgLV5qVAtZeYWTQxeiy5fUqy7JQ6sYTyKUn2\nR40aFa2TktA8tq2UpPQpkxzEEqenJPwfPnx4tE7KpAAxKcm9Fy5cGK0Tm3BhzJgxhexLTMp2ipjM\noojJCQCee+65aJ2UhP4xsXMSYMKECbnlKX+sR48eHa0T+xymJPMvKkF+EZOAFDH5QGySkNR9WbNm\nTW75oEGDom2knLdLly6N1ont78iRI3PLW1pakv7GiHSFAlURERFpaOpRbV4aTCUiIiIidUk9qiIi\nItLQ1KPavBSoioiISMNSHtXmpkv/IiIiIlKX1KMqIiIiDU09oM1LPaoiIiIiUpfUoyoiIiINTT2q\nzUuBah2LJczetGlTtI2UBO39+/fvchurVq2K1klJAD548ODc8rFjx0bb2LBhQ7ROLEn1E088EW0j\n9rpBPFl5ymsSS9QPaQnAY8ccm/gBYO+9947WiSWuT9lOEUncUyZkSPkMpYglcU85V1LqtLW15Zan\nTHYR+4yltJPyGUtJXB/7fABs2bIltzwlmX/KRCF9+/bNLU855pTPc2x/Uz7LKVImYYmdT7FjTpnE\nRaSrFKiKiIhIQ1OPavNSoCoiIiINTYFq89JgKhERERGpS+pRFRERkYalhP/NrZAeVTM7yswOK6It\nEREREREo7tL/3cDHC2pLREREJFmpV7Woh9SPoi79rwA2FtSWiIiISDIFl82rqB7VWcCMgtoSERER\nESmsR/Ui4AEz+zJwmbvnZxEW2traWLx4cW6dWDLsWCJsgI0b4x3dseTeKUnEUyYFWLJkSbROLEl1\nv37xUzblmGOJ3ufOnRttY8yYMdE6scT1KUm5U17/lNclloA9pUciZfKBiRMn5pYvXLgw2kZK0vNY\ncvWU123YsGHROvvuu2+0Tiwx+osvvhhtI2Uyi9gxp7xuRUwUkpJkP+U7IWVihyKOOSURf0zKZ6yI\nY055TWITTEDa6xL7GxP7fGzZsqWQ17YI6lFtXkUFqv8K/BX4AnCmmT0GLAEqzxx39zML2qaIiIiI\nNLGiAtWPlv08KXtU40CXAlUL/7KeThi89SqgL/As8EPgu+6+taxuf+CTwGHA4cCBQH/gY+7+/ch2\nTgM+la2zFXgUuNLdb+3K/ouIiEix1KPavIoKVOMTgBfnWuBUYBlwA7AeOA74FnCUmZ3k287YocA3\ns5+XEnp5p8Y2YGZXAucBLwHXAAOAk4FbzOwcd/9OcYcjIiIinaU8qs2tkEDV3f9WRDsxZvY+QpA6\nD3iNu6/Inu8P/Az4IHAaMDNbZQPwDuAv7r7YzC4BvhTZxgxCkPoCMN3dW7LnrwBmA1ea2a3uPr/Q\ngxMRERGR7TTaFKofyJZXlYJUgGzw1sXZr+eUPb/F3W9z9/xRS9s7K1teXgpSs7bmA98FBhJuPRAR\nEZE6oDyqzavQQNXM3m1m15vZY2b2fNnzB5jZZ81sShc3Ubr3tdqQ7NJzR5hZfCh1bcdmy9urlN1W\nUUdEREREukkhl/6zAU4zgVOypzYCg8uqtABfBQz4Whc2VepFrXZP7D5lP+8P/HlnGzezocAUoLVG\nL+ycbPnKxPZm1yjaf2f3TURERKpTL2jzKmow1ScJ947+D+H+zn9h26V43H2Jmf0BeCddC1RvBf4e\nONfMrnf3VQBm1g+4tKze6E62PzJb1kpSV3q+Kz22AGzdupWVK1fm1mltbY22EZOS+2/AgAHROjEp\n+xLLNQnxvH4vvPBCtI2U/KarV6/OLd9vv/2ibaTkD4zlHV23bl20jfHjx0frpHxJx/Y35T1Myd8Y\nqzNu3LhoGynnSixP6ogRI6JtpOQUXbVqVbROLGdlyjEXkZs05ZxM+U6InQsp521KPtCUXLfDhw/P\nLU85V1Ly5Y4cOTK3fPny5dE2+vbtG60T+6y2tcXTkKfkSE15bWM5p2PbUXAoPaGoQPVM4DFC2ic3\ns2pn7xzg7V3czvWEXtsTgKfM7FeEAVPHAa/ItjGNkE6qOyV9Ot39yGrPZz2tRxS6RyIiIrsoBc3N\nq6h7VPcD7vb8M2UZEO8ayuHuHcB7gPMJqaZOBc4gpJF6I1DqolzWyU2UuoJq/Wsd63EVERGRHqbB\nVM2rqB7VdiB/fsbs3s+ubsjd24GrssfLzGwwIbH/RuDJTra93swWAlPMbHKV+1SnZcvnOtO+iIiI\niKQrqkf1KeAYq3EDlZkNIoyUf7Sg7VVzKiFY/lmWrqqz7sqWx1cpO6GijoiIiPSiontT1ataX4oK\nVH9MGMn+DTPbrk0z6wt8HdiNbYn4O83MdhghYWbTgX8n9Nhe1sVNfC9bXmhmLw/KMrO9CFOqbiZM\n1yoiIiIi3aioS///Rbh39NPAScA6ADO7EXgdIUj9pbv/pIBt/c7MNgJ/zbbzKsLsU5uBD7j7djlW\nzezzbEsHdVi2PN3M3pj9fL+7f79U393/aGZfB84FHs+OYQDwIWAMcI5mpRIREakf6gFtXkVNobrV\nzN4FXETodSzlGf0AsBr4cvYowo3AyYTR/4OBRcD3gX+vEUAeDxxd8dyM7FHy/fJCdz/PzB4HzgY+\nDnQAjwBXuPutBRyDiIiIFESBavMqqke1NMjpEjO7lBCojiWMjn/G3QtLF+XuVwBX7ET9Yzq5nWuB\nazuzroiIiIh0XWGBakmWourZotttNh0dHdFE1bEk1bFk8gCDBw+O1oklPS8qifj69eujdfr3759b\nHpsQANIS18del8MPPzzaxpw5c6J1YsniU163lOTqKWLJyFNe2yIS8ack2Y8leYd4svKOjo5oGylJ\n0VMS8cfOpy1btkTbSPk8DxqUn1xl1Kj4XCQpx7xgwYLc8pSk9BMmTIjWSTnmIr6fUnrbYt9PKcn8\nU865mKImaUl5j2LnU8p3ab1Qj2rzKjxQNbM3AYcTco6uAR519/uK3o6IiIiINLfCAlUzewNhCtV9\nS0+RzeBkZnOAM939D0VtT0RERATUo9rMCglUzexI4HeEPKb3ALMIM0dNAt4MHAXcYWZvcvdHitim\niIiISHfkPVXgWz+K6lG9PGvrve5+S0XZpWb2XsJo/cvZljRfRERERKSmogLVGcAvqgSpALj7L83s\nZuDtBW1PREREBFAPaDMramaqDuD5SJ05ZPesioiIiIjEFBWoPgwcGqlzKPBgQdsTERERAbbdp1rU\no0hm9iYzu8nMFpvZ5mx5h5m9o0pdM7PTzGyWma0ys41mNs/MfmZmr6zR/mlm9qCZtZrZmmzddxV6\nEL2oqED1IuCtZvaJaoVm9ingLcDFBW1PREREpK6Z2UXAvYRB5bcDVwG3AKOBYyrqDgJ+BcwkDEb/\nKfDNbP1Xs23Wz/J1rszqTwauAa4DDgZuMbOziz+intepe1TN7ItVnr4L+I6ZfQa4D1gKTATeCEwj\nvEFvAx7o3K42l759+zJmzJjcOpMmTcotT0kEn5JoPCYlcXRKkuoUZpZbHntNAFpaWqJ1Yvubksw/\nJbn3iBEjcstfeumlaBux8yR1X2K9BCnnU0oC8FgS8dbW1mgbKWKvbcpkF8uXL4/WSZkIYfPmzbnl\na9asibYRm+ADYODAgV3aj9R9iR1zSqL+lAk+UsTO7ZQJDFK+n2Kfj5TPWOzch/ikGSmfj9h5ADBy\n5Mhonb333ju3fMmSJbnl69atq5tJAerxHlUzO4kwffzvgQ+4+7qK8soZbq4C3gX8G3CRu3fk1Tez\nGcB5wAvAdHdvyZ6/ApgNXGlmt9aYXr5hdDa6uCSnbFr2qHQCcDzhTRMREREpRL0FqmbWB/gasAH4\nh8ogFcDd28rqvwI4C3gIuNCrHFB5/cxZ2fLyUpCa1ZtvZt8lXMU+HfhSFw+nV3U2UH1zoXshIiIi\n0jxmAHsTUnO2mNk7gYOATcCD7v6nivp/T7gd81pghJm9G5gKrATucvdqA9aPzZa3Vym7jRCoHsuu\nGKi6+z1F74iIiIjIzurGhP/7m9nsGuVHRpqYni2XAo8Q7ht9mZndC5zo7ssr6o8kXMofW745M/tP\n4NPuvjVbfygwBWh198VVtl+6f63qAKydYeGevOOAtxLutd0DGAdsBJYBfyHc/vkrd1/Y1e1VKmow\nlYiIiIgEE7LlWcBgQqA3nNCr+ltCwPfzKvUvI2RSOjir/xZC4PpJth+QXroJudZN56XnR3X2AMxs\niJl9HphL6LU9H3hN1uYyoB3YB/gg8F1gXpbdYEZnt1lNUQn/X5ZF3pOAypuEAXD3F4vepoiIiOy6\nuuke1WcSek5r6ZstjdBz+lj2+5Nm9n7gOeBoM3t9dhtAqf5i4P3uvjH7/S4zO5HQK3uumX3V3Xdm\nlHSnXhgzOx34CiGbwDPApcAfgIfcfW1ZPQP2A15HmNTpvcD7zOxG4IIiYr7CelTN7KSsi3wz8BIw\nr8pjblHbExEREYG6zKNaGtw0tyxILe3rRkKvKoQeyvL6t5cFqaX6jxFiqOHAAdnTpR7TWukdYj2u\nMT8gZGl6rbsf6O6Xufud5UFqtm/u7s+4+0x3/3tCR+VnCBmfPtrJbW+nkB7VLE/qtwndwPcDC7Of\nRURERHY1z2bL1TXKS4FpKY/es4QUnkn13X29mS0EppjZ5Cr3qZayLz23U3u9zavd/ZGdXSkLZK82\ns2uAvTq57e0Uden/Xwj3K8xw93kFtdnUhg4dyvTp03PrLFq0KLc8JU9hSl6/WI7BlPyBGzdujNZJ\nyXcYk5J3tH//qned7NS+LFiwINrGpk2bonVieWHHjRsXbSPlPUzZl5hRo+K3MvXt2zdap709/3/U\nlFyfKblLY+flfvvtF20j5ZxcunRptE4sZ2tK/t8Usfc5Jb9pSg7O2Hkby2EL8XyhEL4HY2LnU6wc\n0j4fsfMyJS9vyndyEd+DKTl3p06dGq1zzTXX5JafeuqpueWxv1E9qd7SUxGS9LcD08xsQJXL9Qdl\ny/nZ8k7gnLLnX2ZmA9kWeM4vK7oLOJWQ+vOHFaudUFZnp3UmSK1YfxPhloEuK+rS/xTg5wpSRURE\nZFfn7iuAGwiX4LebJMnM3kq4n3MN21JL3Ua4PfLtWXm5i7N27nH38lkYvpctLzSz0WXt7wV8inAr\nZmUA23CK6lFdAMT/TRcREREpWB32qAKcC7yWEEgeBTwI7Am8H9gKfMzdVwO4+xYzOw24A7jNzG4G\n/kZIW3UUsBz4eHnj7v5HM/t6tp3HswFMA4APAWOAc4qelcrMpgKXuvsZRbabp6ge1ZnACWY2vKD2\nRERERKKKHkhV1IAqd19GCFS/QUje/2lCAv5fA29y959X1L8feDVwE3B0Vn8f4L+BI9x9h/tN3f08\nwqClJYRA9iPAk8C73f07XT6IHY0BTuuGdmsqqkf1a8CRwO/N7LPAI9WmCxMRERHZVbj7KkKP57mJ\n9Z8i9IjuzDauJcxo1WVm9pFIlT2K2M7OKCRQdfet2byyPye7cbfGzfju7oXnbhUREZFdV51e+m9E\nM4EN1M6/2uMTRRWVnuq9hPls+xJyfS1C6alEREREGskiwlStv6hWaGaHAVWnle0uRfVuXkKIwN+Z\n3WMhIiIi0iPUo1qY2cARQNVAldDTmp+/rmBFBar7AT9SkCoiIiI9TYFqYa4E8hL1Pg+8uYf2BSgu\nUF0B7Mzcs7u8tWvXcuedd+bWiSWuT0liHUvmD7B6da2JMIKUhP8pdVIS8ccSjack925ra4vWiU1Q\nkJJkPyVx+tatW3PLU97DlOOJvW4pYucBwMSJE6N1Yu9zyh+UfffdN1onltA/JeF5SiL+hx56KFpn\nwoQJueUpkxz85S9/idbZsiX/azblfEr5HMYmdkhJ5j969OhonZRzIfYZSvmOW7VqVbRObJKJlM9Y\nyr7EvntSkvmnHE/Ke/TRj340t3zJkiW55SnfTdJY3P2+SPl64J4e2h2guED1JuB4M+vv7jpzRURE\npMeoR7V5FTV66yLCPLQ/z2ZEEBEREZEGZ2ZHmVn8MmM3KapH9QmgPyGx7bvNbDVharBK7u6vKGib\nIiIisosrKkF/ZZvysruBA4AdJhzoCUUFqn0I6aheLHuu2g09PTpSTERERES6pFdjt6IS/u9VRDsi\nIiIiO0s9oM1Ls0SJiIhIQ1Og2rwUqIpIw/nojDczatTImuVTR4ymX7/+LNtcO0XPhIFDaB83lQVr\na6flmjpiFKfsdzhPL1pQtfyA3UIKrHkty3P3t2NrB9f+aVZuHRER2VFRU6h+JLWuu/+oiG2KyK5t\n6ojaeTqH9h9Inz59mDCwdm7MwX370WF9mDpiVG47g/r0fTkgrTR66FAA+vXLzzv67JJFueUi0jXq\nUW1eRfWoziRMq5XHsjoKVAmJ65cvz++FiSXMTklKH0uWDfFE1rFE2AB9+sQznRWRMDslWXmKAQMG\n5JaPHTs22kbK8cQSsKckaE+Z5GDNmmpJNrY3NAuqakmZtCFlOwcddFBu+fTp06NtHHLIIbnl0/oM\nZtzwkTCyRnL05S0ADByfM0FBVmfwHpOjdYbtXWPygFg5wJpW5q5azogRI2rXIS1ZfGtra255yjlZ\nxAQeKd8rsUkDAAYPHhytE7N06dJonZTJOWKvf8rxpCTiHz58eG55ymsbm/gB0o75ySef7NK+pHw3\niXRVUYHq6TWeHwVMB04mTArw64K2JyIiIgKoR7WZFTXq/9q8cjP7ISFI/XYR2xMREREB5VHtAZcD\nK3pr40XNTJXL3e8Ebgcu64ntiYiIiEjXufvF7h6/r6Wb9OSo/+eAs3pweyIiIrILUA9o8+qRHtXM\ngcQHXImIiIhIHTGzy83sYTMbU/F8fzPbvTu33a2Bqpn1MbM9zewrwAnAfd25PREREdn1lO5TLeoh\nOzgO6Ft+C4CZHQ4sBP5mZnPN7Jju2HBReVQ7yO8tNWAlcEER2xORxnTmUccxYfyE3DpTho1gYN9B\nrPbaqW9Gtg2ibd1mtrS0VS0f1C+k1dk0v6VmG0XUGdQ/lPddXrsNtnZw+JQ9a5dnjp68F/9200+j\n9URkRwouu91ewK8qnrscGAfcDxwE3Gpmh7r7C0VuuKh7VO+leqDaAbQADwI/dPf8xKG7EDOL5vKM\n5SZdu3ZtdDspOVBj+QPb2qoHA+ViOV8B1q9fH60Ty5NaRA5IiOf/e9vb3hZtY8GC6rMVlbv//vtz\ny1Pyz6a8/rHcjBB/n2N5PgEmTMgPMgFWr64909OWzVvYZ+z43PUHWh/69+/PsAG18762rdtMRwfU\nfBuzQ819m4uo04/wb3jEkIGDeMOr8nPD3rj4t9HzMpYbMyV3Zsr5FMvTOXFiTn7aTEpe2DPPPDNa\n55vf/GZuecq5n2Lz5s255SnfKynfgym5k2NScrqmfLfEvm9jeXnb2tqUS3XXMQJ4OWmxmY0C3gr8\nzN1PNrN9gceAzwL/VOSGi0pPdUwR7YjIrqElp7d0kmX/wNVK5g9saWmjvR0eW1Q9MDhkcujhfHxx\n7cChiDqH7tZCv34wdEpOgFLqbc05HtbkJ/IXkXzqUe12Cwm9pyVvI9w++t8A7v68mf2KELwWqicH\nU4mIiIhI43kceLuZlbrzPwxsIFxRL5kH7Fb0hnsyPZWIiIhI4dSj2u2+AdwD3Glmc4B3ATe6b3d5\nbALQ9XtbKnQ6UDWzTiXvd/cvdnabIiIiItKz3P0+M7sIuBQ4CliT/VzuVcDiorfdlR7ViwgDqBKG\nEmw30EqBqoiIiBRCU6j2DHf/qpl9H9gfeNLdV5bKzGwf4DXAdUVvtyuB6umJ9YYCnwH2RQn/RURE\npGAKLHuGuy8DllUpGgFcC/xf0dvsdKDq7tfmlVvIa3EGcCEwmZDW4Eud3Z6IiIiI1B93/wsh5itc\ntwymMrPjgf8g3K+wEfgy8B/uHk+kKSJN66CpezLQ+mxLQVVFXwzat25L61TFoH5bod+29FGVhg8O\nifhrlRdVZ9igUL4+b9KAlEkBgCP2mZZbLiK1qUe1eRUaqJrZIcCVwFsIl/lnAhe5e+E31za6jo4O\n1qxZk1tn8ODBueUpCZ1TxCYe2LhxY7SNDRs2ROts3bo1Wme//fbLLX/yySejbcSSlUM86fmcOXOi\nbaxcuTJaJ5aYu4jk31DMl3RrazyXZ0pC+T33rD0LU58+fenoyN/Xvn1SbnuvL9FJAxIOacCAgbzy\nla/MrTNr1qzc8pQJPoqYNCPlOyGWTB7gkUceidaJTS7Q0pL/DwDEE9dD2vdGTEry+9h3Qkoy/7Fj\nx0brrFu3LlonNkFBbF9if8OkOZjZUcCD7l74iP4URU2huhthKq1TgL7AHcD57v7XItoXkebwzOKX\nGD58GMu21A509hg0nIEDB8D42n9EN81vob29diL+nkr4n9JG0qQAa1p5ZvFLtctFJJd6VLvV3cAB\nwHO9sfEuBapmNgz4HPAvwBBCQtjPuvsdBeybiIiISJQC1W7Vq5e5upJH9SzgEmA8IW/W2cC1rrNF\nRERERArQlR7V/0e4D/V54GrCdKynx+4Fcvf/6cI2RURERF6mPKrNrav3qBowDfhWYl0HFKiKiIiI\nSJhPs24AACAASURBVFRXAtXKqbNEREREepx6QJtXVxL+K1AVkZ2y/+TdGdSnH3sMGl6zTv8+fRom\nj2qp/NDdarcxbNDWcD0pkkd1/8m755aLSG0KVJtXtyT8FxHZlfTL+yZtvLSwIiJ1Q4FqL+nXrx/j\nxo3LrTNy5Mjc8pRkyymJrmMJ/2PlAGvXro3WSUn4H0von5KsPGUihClTpuSWP/zww9E2UsQmQpg6\ndWq0jfXr4xO6pRxzrE7KvkyaNClaZ8SIETXLXlyziokTJ7B5cO1zql/rJujTpyHyqL6cI3WvnByp\ny1vo6HA2jxhas0q/9RuZt2o5Y8aMqd0O8fco5TNWRML/pUuXRttImRzirrvuitZZvXp1bnne+VaS\nksw/9j3XL/e/kSBlwoXYJB8pn/eUSQFS6hxzzDG55T/84Q9zy4888sikSRt6gnpUu9XlwIre2rgC\nVRERERGpyt0v7s3tK1AVERGRhqYe1ealQFVEREREosxsf+C1hLvvX3T3+P07XaRAVURERBqWEv53\nPzPrA/wA+EjpKaCDLI40M+uumUnjIzBERERE6lgpWC3qITv4HHAa8CfgLOAmts9pMsPM5pvZm4ve\ncCGBqpntVUQ7IiIiIlJ3TgeeBY5292uAv5YXuvsfgHbg74recFGX/uea2VzgbuBO4C53X1ZQ2yLS\nJPYZO4E+WzsY3JqToqfd2cpWNs2v/4T/wwZl6aDykvm3b8WA/qtba9cB9h0/MbdcRGpTL2i32xP4\nrrvn5cCbDcwoesNFXfq/ERgOnAn8BFhsZk+Y2bfM7D1mFk90JyJS4tDeXvshIiI9ai0QS468EJhc\n9IYL6VF1978DMLNDgLdkjzcB5wBnAx1m9ghwp7t/oYhtNrqOjg42btzYpTaGDRsWrTN+/PhonVhS\n+liCaiA6eQFAa2t+jxLEk4SnTHKQMkFBLIl4SrLylMkU2tracstTXpOUxN0pYudLSlL0FHvttVfN\nsuVbNjBp0EQYWXtf1mfJ/B9b1PlE/D2e8H/3/IT/bVu2sHDTuppVxvYbyAsrlnX5vU4591Pe59gE\nHsOH154CtyTl+y32+YD45yxlO0Uk/N+8eXO0jUGDBkXr7LbbbrnlKZOntLTkT8cLaRMUpPwNaRTq\nUe12DwHHmVkfd681I0gHkD9TUScUOpjK3R9392+4+7uAMcAbgEuBlcB0ws24IiIiIoXRYKpu9wNg\nGnBZTp1DCPFeobpl1L+Z7Qf8E3AB8BlgQlY0p4C2zczOMLM/m9k6M9tgZo+a2afNrGp3hJnNMLPf\nmNmqrP7jZvaZWvWzdd5lZrPMbI2ZtZrZA2Z2Wlf3X0RERKSRuPtNwA3Av5rZTcAry8vN7P3AccD9\nRW+7kEv/ZjaFbZf830K4R8GAl4BfAXcRLvsvLGBz1wKnAssIL9p6wovzLeAoMzupPJeXmb2XkEZh\nU1Z/FfBu4BuEHt+TqhzP2cDVhP8MrgO2ACcCM83sYHc/v4DjEBERkS5SHtUe82FCXPSJ0hNmdjcw\nDjgQaAO+VvRGixr1/2K2XAnMYltg2uUe1HJm9j5CkDoPeI27r8ie7w/8DPggIc/XzOz5EcA1wFbg\nGHd/OHv+4mwfTzSzk939+rJt7AVcSQhoX+3u87PnLyPco3Gemd3k7n8q8thERERE6lV2b+rZZvZj\nwhiktwJHZ8WPAxe4++yit1vUpX/LHi8CLwDPAwsKarvcB7LlVaUgFcDd24CLs1/PKat/IjAeuL4U\npGb1NwEXZb9+gu2dQRjZ9p1SkJqt0wJ8Nfv1rK4dhoiIiBRF96j2HHd/wN1PcfeJwGBgiLsf5u6/\n647tFdWj+hbg2Gx5HvBZYIuZ/YmQV/VO4MGckWKpJmXLuVXKSs8dYWaj3H11tk8At1epfy+wgTCb\nwkB3Lw3pzFvntoo6IiIi0ssUXPaOstip2xSVnupuQrL/i81sGHAM24LXy7JHq5nd4+7v6cKmSr2o\ne1cp26fs5/2BPwP7Zb8/V2Wf281sHvCqbN2ns6K8dRab2XpgdzMb4u65eZ3MrFYX+P5564k0q92G\njoAtbbkJ8gf1D8n8D92tdp1Sov2eSvhfa1+GDdoariVFEv73sz5MGTCkdh3gFeOU8F9E6oOZDXb3\nLuXQLKINKK5H9WXu3grcCtxqZpOAk4HPE0b+v7OLzd8K/D1wrpld7+6rAMysHyENVkkpqWEpn1et\n5Jul50eVPZeyztCsXn4C0hxmFs1zF8tfOmnSpNxygIkT43/8XnjhhdzylNyOq1atitbp6Ih3qMfy\nA6bkKUzZTuy/7/79+0fbSMmB2h7JTp+SMzElp2tKzsQFC/LvxknJjZmSxzYvR+0H99ifscMT5v8w\nSDikHlNzX7IUn+3ttSdr6Us432LnQnt7O4sWLcq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+853vZOtceuml2To5JflaS9p/w4YN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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 277, "width": 341 } }, "output_type": "display_data" } ], "source": [ "ax = tpf.plot(aperture_mask=tpf.pipeline_mask, mask_color='b', frame=300, \n", " scale='linear', cmap='gray',show_colorbar=False)\n", "tpf.plot(aperture_mask=VDB_J_mask, frame=300, scale='linear', cmap='gray', ax=ax, mask_color='pink');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Vanderburg and Johnson mask is slightly bigger than the Kepler pipeline mask." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Data Exclusion\n", "\n", "From the paper:\n", "> We exclude data from the first 2.5 days of the Two-Wheel Concept Engineering Test \n", "\n", "\n", "> We also exclude points labeled by the Kepler pipeline as having poor quality, where the QUALITY tag of the Kepler FITS file data structure was not 0. \n", "\n", "\n", "> We identify the points during which Kepler's thrusters were firing through analysis of the image centroids. [...] We identify the points during which the spacecraft fires its thrusters as 5–σ outliers from the distribution of ds/dt points and exclude them from further calculations.\n", "\n", "Thruster firings are automatically flagged in most K2 campaigns, and the exceptions are getting fixed with data reprocessing, so we will not replicate the thruster firing analysis." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lc_raw = tpf.to_lightcurve(aperture_mask=VDB_J_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exlude the first 2.5 days and non-zero quality flags, following Vanderburg & Johnson." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "first_2p5_days = lc_raw.time - lc_raw.time[0] < 2.5\n", "nonzero_quality_flags = lc_raw.quality != 0\n", "\n", "keep_indices = ~first_2p5_days & ~nonzero_quality_flags" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`lightkurve` supports indexing, slicing, and boolean masking just like `numpy`. \n", "Here we use boolean masking to keep the samples devoid of quality flags and poor pointing." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "lc_trim = lc_raw[keep_indices]\n", "lc = lc_trim.normalize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instantiate and apply the SFF corrector." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sff = SFFCorrector()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1/1 [00:00<00:00, 14.99it/s]\n" ] } ], "source": [ "lc_corrected = sff.correct(lc.time, lc.flux, lc.centroid_col, lc.centroid_row, \n", " niters=1, windows=1, polyorder=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can get back the long-term trend, which is useful for astrophysical variation, but less so for planet searches. \n", "Future `lightkurve` releases may return the trend by default." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "long_term_trend = sff.trend" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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cNMZYY8yPUrxXgzHmX4wxLxtjxowxe40x3zbGxPxfS2PMucaYnxhjXjHGHDXG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wK9PwM+BtwENACbjTGP4IZ7j1prIz6tIyJSdBzHoaOjg97eXqqqqgiFQlRWVhZ6WxhjaG5uZvXq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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 374, "width": 634 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "dy = 0.004\n", "plt.plot(lc.time, lc.flux + dy, 'ko', ms=4)\n", "plt.plot(lc.time, lc.flux+dy, 'o', color='#3498db', ms=3)\n", "plt.plot(lc_corrected.time, lc_corrected.flux * long_term_trend, 'o', color='pink', ms = 3)\n", "\n", "plt.xlabel('BJD - 2454833')\n", "plt.ylabel('Relative Brightness')\n", "\n", "plt.xlim(1862, 1870)\n", "plt.ylim(0.994, 1.008);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neat! The raw flux slope looks steeper than the publication figure, perhaps owing to different choices in aperture mask, background subtraction, or other subtle differences. But overall the corrected flux looks very similar to the result obtained in **Figure 5**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can look at other diagnostics of the SFF correction with some convenience functions." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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6Ct1nwT1visnMzI00tNlicb2dRVOq6Pkr0ImIHC4KZEREWqE5vUOi3fxF+lW7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\nYeSAIxARkc5HgUzT+X/+bE4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+LvDz5vmYObNQN6idiL/U8VVXXYWzhAwaz8gAeGg82wKw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IGpv40UScUMZKR+atmKlZw1aSYvvtEKwEbrr8dVJ+zBxhsM6XeZbiRJ/c+iRYtoaGjgmWee6Rdr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\nGUmSeigitgZaCqdiRcQw4Gayt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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 265, "width": 409 } }, "output_type": "display_data" } ], "source": [ "sff._plot_normflux_arclength();" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xfpLAYNi5q55OHf0P+tPmaMFRox119XRJ6cALL7zYkEnr2GsL+16yCFuXxM4t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\njCz726nazgOZ+WxWK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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 263, "width": 420 } }, "output_type": "display_data" } ], "source": [ "sff._plot_rotated_centroids()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "*The end.*" ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }