{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to recover a known planet in Kepler data?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial will demonstrate the basic steps required to recover the signal of [Kepler-10b](https://en.wikipedia.org/wiki/Kepler-10b), the first rocky planet that was discovered by Kepler!\n", "\n", "Let's start by downloading the pixel data for this target for one of Kepler's observing quarters:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import lightkurve as lk\n", "tpf = lk.search_targetpixelfile(\"Kepler-10\", quarter=3).download()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the `plot` method to show the pixel data at one point in time (frame index 100). We'll also pass along a few plotting arguments." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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SlixZglOnTsHa2hrz5s3Turro448/jt69ewMAvvzySyQlJUEQBAiCgKSkJHz55ZcAgN69e9c7JdhQpaWlat9n7b+Nh3+uDw9CTkpKwrJly5CQkKDWXVdVVYXk5GS88847qpa1V155RWsorqqqUiujbveiVCpVO1dfACcyNbZItFJz5szBkiVLcOvWLbzzzjuwsbGBpaUl5HI5rK2t8fbbb6uWGDbEtGnTcO3aNaSkpCAmJgbbt2+Ho6MjysrKoFQqMXr0aBQWFuLMmTNaf7E+9dRTqKysxLfffovLly/jgw8+gJWVFezt7SGXy9Xq9/Cnwe7du6Nbt264cuUKlixZAkdHR1VrzJQpU/A///M/Bn1vDzt06BASEhJUX8tkMtWbeK2+ffvi9ddfR8eOHY1adl3btm1TLQRWV25uLqZNm6b6ur5P5l999ZXWraz//vtvtfv9/Pw0WgEqKyuxe/du7N69W1VGRUWF6s/J1dUVCxcuREBAgNa6SyQSvP/++6ptxD/++GPVNuK1P8tOnTrh/fffb7RZGbNnz9baihUVFYWoqCjV1w/vDaNUKpGcnKxaydXW1hY2NjaQyWSqN31LS0tMmzYNzz33nNaya1dpra9eda1Zs6berkkiU2KQaKWCgoKwatUqbN++Henp6ZDL5XBxccGgQYPw4osvws/PD2vWrDG4HGtra3z00Udqm3YplUr07NkTo0aNwogRI1TbSdftcqnr+eefR0hICH799VecPXsWd+7cQVlZGezt7eHr64uAgAAMHjxYa1Px0qVLERMTg7Nnz+Lu3buqNwiZTGbw9/awiooK1afw2rDj4eEBHx8f+Pv7Y9iwYfWux9FSuLq64uWXX8aFCxdw8+ZNFBcXw87ODl5eXhg0aBBeeOGFBpdEBwA3NzesXr0ae/fuxalTp1RTlP38/DB06FCMGzfObHulNKRnz56YOXMmLl26hLy8PJSUlKj+nnp6eiIwMBDPPfccOnfubO6qEhmVRGhKI9Go1amursa0adNQVlaGDz/8EAMHDjR3lYiISA8cI0Fm9euvv6KsrAy2trb1NncTEVHTxSBBjW758uU4c+aM2uC+oqIiREdH4/vvvwdQ031RX9cGERE1XRwjQY3uzz//VK0dYGdnBwsLC7UxCsHBwQ3upUFERE0Xx0hQozt48CDOnTuHq1evori4GBUVFXBycoK/vz9GjBiB4cOHN7uFhYiIqAaDBBEREYnGj4FEREQkGoMEERERidZkB1umpqbi+PHjyMjIwN27d+Ho6Iju3btjypQp6Natm+q6CxcuYNGiRVqfsWrVKrVte3V9JhEREemmyQaJAwcOoLS0FGPHjoW3tzdKSkoQHx+PhQsXYtmyZapdAmu98sorCAoKUjtWu9eC2GcSERFRw5pskHjttdfQpk0btWPBwcGIjIzEjh07NN70O3bsqNb6YIxnEhERUcOa7BiJh9/wAcDe3h4+Pj64e/duk3kmERFRa9ZkWyS0KSsrQ3Z2Nvr27atxbuPGjfj8889ha2uLXr16YfLkyTotudzQM4mIiKhhzSpIbNy4EeXl5Zg0aZLqmIODA8aOHYvAwEC4uLjg1q1b2L17NxYtWoQlS5YgODhY72fWpVQqcefOHVhZWem0bbG1tbXW7bCJiFoDQRAgl8vh7u5utoXmKisrVVvX68vKykq1dT3pptksSBUVFYW4uDjMmTMHo0ePbvBaqVSKN954A05OTli7dq1Bz7x79y5effVVg+pORNTabNmyBW3btjV5uZWVlZj1/43D/WJxn5Pd3NywefNmhgk9NIsWidjYWMTFxWH69OmPDBEA4OTkhAEDBuDAgQOoqKiAra2t6Gfa29sDAKoveAFKHdK1IKl5GUGVb3ujPEcMwcI434O+KtzN84+3qK95/imUd640S7kAgCrzfFq0u2Oen7VnYoVZyrW9cd8s5QIAiksffY2xWShhHXxH9bvT1Kqrq3G/2AqbPsuCg71Sr3tlcgvMfrc7qqurGST00OSDRGxsLGJiYjB16tR6ux+0qW1o0dYdoc8zVfdXW+kWJIzKnH885gkSkJjne1Zamqlca/1+0RmXeYKEuX7WgMI8xSotzVMuACjMN55el67gxmRrVw1bO/3+fSmEJjv/oElr0j+17du3IyYmBpMnT0ZERITO90mlUvz111/o2rWrRqoU+0wiIiLS1GRbJOLj4xEdHY3g4GCEhobi0qVLaudr14xYtWoV2rVrh+7du8PFxQX5+fmIj4/HgwcP8NZbb4l6JhERNW9KCFBCvyGA+l5PNZpskEhKSgIApKSkICUlReP8/v37AQC+vr44efIkDh48CLlcDmdnZ/Tp0wfz589Hjx49RD2TiIiaN+X//affPSRGkw0SK1eu1Om68PBwhIeHG/WZRETUvCkEAQo9JyXqez3VaLJBgoiISCxBRNeGwK4NURgkiIioxVFAgELPYKDv9VSjSc/aICIioqaNLRJERNTicNaG6TBIEBFRi8PBlqbDIEFERC2OEvpP5+T0T3EYJIiIqMXhYEvTYZAgIqIWRyHUvPS9h/THIKEjy1638PBGVspCZwiFzuapEBER1UuA/l0VzBHiMEjoSHFJx23EiYiIWhEGCSIianEUkEAB/bYy1/d6qsEgQURELY5SqHnpew/pj0GCiIhaHLZImA6DBBERtTgMEqbDIEFERC2OUpBAKegXDPS9nmowSBARUYvDFgnT4XxGIiIiEo0tEkRE1OIoYQGFiHtIfwwSRETU4nCMhOkwSBARUYvDMRKmwyBBREQtjkKwELFpF7s2xGCQICKiFkcJC7037eIYCXH4UyMiIiLR2CKhI4tu1/HwNuKKXEsochvvR2htb9doz36Ucr+2Zim3ysE82ba8c5VZyvX1KTRLuQAgrbA1S7lFFe5mKVfeztos5VoXO5ilXAAQrlw1faFWAszzk1bHMRKmwyCho8pEW6Caf8mIiJoDhSDRe8yDgrM2RGGQICKiFkeARO8xEgJbJERhkCAiohZHAQsooN+0DXZtiMMgQURELY4CFlAIDBKmwCBBREQtTs30T/2ChJJBQhRO/yQiIiLR2CJBREQtTs2sDf3vIf0xSBARUYvDwZamwyBBREQtjlKwgFLPwZbc/VMcBgkiImpxlCJaJDjYUhwGCSIianEUggQWHCNhEpy1QURERKKxRYKIiFocriNhOgwSRETU4tR0bei5+6eeXSFUg0FCRzaPV8DU24gTEZE4ShGbdul7PdXgu6COuI04EVHzoRAsRAy2bJy6tHQMEkRE1OIoYKH3bAJFo9Sk5WOQICKiFkcQJFDq2cKg5/pV9H84/ZOIiIhEY5AgIqIWp2avDf1f5nLp0iWMHTsWcXFxZquDWOzaICKiFqdmrw1972mcujyyXKUSmzZtQo8ePcxTAQMxSBARUYujgETv5aXMNdjy4MGD6N27N0pLS81UA8MwSBARUYvTGC0SMpkMcXFxyMnJQU5ODkpKShAREYGpU6dqXCuXyxEVFYWTJ0+itLQUnTt3xsSJEzF8+HC160pKSrBv3z58+eWX+Pbbb/WrcBPBIEFERC1OY7RIlJaW4tChQ/D19cXgwYNx+PDheq9dsWIFsrKyMGPGDHTq1AknTpzAqlWroFQqMWLECNV1P/74I8aPHw9HR0c9a9t0NNkgkZqaiuPHjyMjIwN3796Fo6MjunfvjilTpqBbt26q6y5cuIBFixZpfcaqVavQq1cvtWO6pkQiIqK62rdvj9jYWEgkEhQXF9cbJJKTk3Hu3DksXLgQTz75JACgb9++KCgowJYtW/DEE0/A0tISV65cQXZ2Nv71r3+Z8tswOlFB4urVq7CwsECXLl2MXR+VAwcOoLS0FGPHjoW3tzdKSkoQHx+PhQsXYtmyZejXr5/a9a+88gqCgoLUjmmrn64pkYiImq/G6NqQSHRr4zh9+jTs7e0xbNgwteNPP/00vvjiC2RmZqJ3795IT09HXl4epk2bBgAoLy+HhYUFbt68ifnz5+tXeTMSFSTmzp2LoKAgLF++3Nj1UXnttdfQpk0btWPBwcGIjIzEjh07NIJEx44dNVofHqZrSiQiouZNKUig0HPTLqWRVqTKzc1F586dNd5PfH19Ved79+6NZ555BkOHDlWd37x5Mzp06ICXXnrJKPUwFVGTZp2cnODm5mbsuqh5OEQAgL29PXx8fHD37l1Rz2woJd67dw+ZmZminktERE1LzaZd+r+MobS0FM7OzhrHa4/Vzs6wt7dH27ZtVS9bW1s4ODjAxcXFKPUwFVEtEj179kRubq6x6/JIZWVlyM7ORt++fTXObdy4EZ9//jlsbW3Rq1cvTJ48GQEBAWrX6JoStbLUMakqASi5uRcRkTkpBAtA723EBZhzx4158+aZrWxDiAoSERERePfddxEfH48JEyYYu0712rhxI8rLyzFp0iTVMQcHB4wdOxaBgYFwcXHBrVu3sHv3bixatAhLlixBcHCw6trS0lJ4enpqPPfhlKiN3dOVOtWxOtsGimxbXb+lBglWZuxmMVMWqnQxT8EO7jKzlDu8/RWzlAsAeXJ3s5R7/JarWcoVLFpht6WOffrGLdP0RWqjFCSQ6N21YZyynZ2dtb6f1B7T1lrRnIkKEjdu3MDIkSOxdetWHDt2DAMGDEC7du1gY2Oj9fqwsDCDKgkAUVFROH78OObMmaM2a8Pf3x/+/v6qrwMCAjB48GC88cYb2LJli1qQMETFcSdAocNfSm5oT0RkdjXLXevZIgHjJAlfX18kJCRAoVCotYDXtuQ35kQFcxAVJFavXg2JRAJBEHDt2jVcu3ZN62hWQRAgkUgMDhKxsbGIi4vD9OnTMXr06Ede7+TkhAEDBuDAgQOoqKiArW1NC4FBKVEh0S1IEBFRqzZ48GAcOnQIiYmJeOKJJ1THjxw5And392a7FHZ9RAWJKVOm6DwNxlCxsbGIiYnB1KlT1bo0HkX4v9G3devZ2lIiEVFr1VhdG8nJyaioqIBcLgcA5OXl4dSpUwCAkJAQ2NnZITQ0FP3798f69eshk8ng5eWFhIQEpKSkYMGCBS1udqCoIKFtOdDGsH37dsTExGDy5MmIiIjQ+T6pVIq//voLXbt2VetuaW0pkYiotVLCQu+1LZU6dG1s2LABBQUFqq9PnTqlChKbN2+GnZ0dAGDRokXYtm0boqOjVYsfvv322y1y8cMmu7JlfHw8oqOjERwcjNDQUFy6dEntfO2aEatWrUK7du3QvXt3uLi4ID8/H/Hx8Xjw4AHeeusttXtaW0okImqtlIJE71kburRIfPfddzo9y97eHpGRkYiMjNSrDs2RwUEiJycHWVlZKCkpgY+PDwYNGgQAqKqqQlVVFRwcHEQ9NykpCQCQkpKClJQUjfP79+8HUNNdcfLkSRw8eBByuRzOzs7o06cP5s+fr7WFoTWlRCKi1qqxggRpEh0krl+/jjVr1iArK0t1LCwsTBUkfvvtN/zv//4vPvroI4SEhOj9/JUrV+p0XXh4OMLDw3V+bmtKiURErZVSxDoSxlrZsrURtbJlQUEB3nvvPWRmZmLQoEGYOXOmanBjreHDh8PS0hKJiYlGqSgRERE1PaJaJGJjYyGVSvHWW2+ppnZu2bJF7RonJyd4e3trjG0gIiJqbApIIOg92JLEENUikZKSgq5duz5yfYj27dvj3r17oipGREQkllKQiHqR/kS1SJSWlqJPnz6PvE4ikaCyUrelpYmIiIxFCRFjJIy0smVrIypIuLi44M6dO4+87vr16/Dw8BBTBBERkWg13RQMEqYgqmsjMDAQ2dnZuHjxYr3XJCUl4ebNm+jfv7/oyhEREYmhECSiXqQ/UUEiPDwclpaW+Pjjj3H48GEUFxerzsnlchw7dgxr1qyBra2tSXcHJSIiAgBBsIBSz5cgiHpLbPVEdW106dIFCxYswOrVq7Fu3TqsW7cOEokER48exdGjRwEA1tbWWLBgAby8vIxaYXOxHiTFw81kius2UF7XvuMpERFRayB6QaqhQ4eiW7du2LdvH86dO4eCggIolUp4eHigf//+GD9+PDp27GjMuppV1RkdtxEnIiKzE7Npl8CuDVEMWiK7Q4cOmD17trHqQkREZBRKSPTetEs1hdAoAAAgAElEQVTfdSeoRpPdtIuIiEgstkiYjkFBoqqqCn/++ScuXryIoqIiAICHhwd69+6NIUOGwNra2iiVJCIi0odSsIBEz8GT3GpDHNFBIjU1FatXr8a9e/c09tn49ddf4ebmhrlz5+Kxxx4zuJJERET6YIuE6YgKEpcvX8ayZctQXV2NHj16YPjw4ejQoQMEQUBhYSESEhJw+fJlfPzxx1i5ciV69uxp7HoTERHVi2MkTEdUkIiKioJCocA///lPPP/88xrnx4wZg4MHD2L9+vWIjo7Gf/7zH4MrSkRERE2PqNU3MjMz0a1bN60hotZzzz2H7t274/Lly6IrR0REJAY37TIdUUFCIpHotNCUl5cXJBL+wRARkWkxSJiOqK6NHj164Nq1a4+87tq1a+jevbuYIoiIiEQTBIn+gycZJEQR1SIxbdo05OfnIyoqCkqlUuO8IAiIjo5Gfn4+pk2bZnAliYiI9MEWCdPRqUWidv+MusLCwrBjxw4cP34cjz/+ONq3bw8AKCgoQGJiIgoLC/HMM8/g5s2bnLVBREQmpYQE+m4jDkjEfbpu5XQKEqtXr9Y61kEQBBQUFGDPnj2q83XXlDh06BAOHz6MsLAwI1WXiIiImhKdgsSUKVM4aJKIiJoNpSDRf8xDC+vaqK6uxs2bN1FcXIyysjI4OjrC1dUVnTp1gpWV8XbI0OlJU6dONVqBzRW3ESciaj5aa5AoLi7GkSNH8NdffyEzMxPV1dUa11hbW6NHjx4IDQ3FU089BVdXV4PK5KZdOlLm+QFKS7VjEgCWjbhTusLVofEe/ghKa/P0FFY7mOcfsoeTzCzlPuaQa5ZyAUCh5z4ERmOm/Qysys1UsOZ4dJOx6Nfb9IVKFABSTV/uQ5QCRASJRqmKSeTn5yM6OhqnT59WhQcXFxd06tQJzs7OsLe3h0wmg1QqxY0bN5CWloa0tDRERUVhyJAhePnll9Gxo7g3NAYJIiJqcVpTi8T//u//4uDBg1Aqlejbty+efPJJBAYGwtPTs957bt++jfPnz+PEiRM4efIkEhMT8dxzz2HOnDl6ly86SBQXF+PXX39FWloa7t27h6qqKq3XSSQSbNq0SWwxREREehNaUZA4fPgwRo0ahRdffBEeHh463ePp6QlPT08888wzKCoqwq5du3D48GHTBYlr167hgw8+gFQq1dj5k4iIyNzETv9sjjZv3gw3NzfR93t4eCAyMhLh4eGi7hcVJDZt2oTS0lKMHDkSEyZMgKenJ+zs7ERVgIiIiMQzJEQY4zmitxH39fXFvHnzRBVKRETUmFrTGAlzExUk7O3tRY/uJCIiamytaYyEuYma/9W3b1/k5OQYuy5ERERGIUD/fTaEZjpGoj7Xr1/HrFmzGr0c0Zt2yWQybNmyReumXUREROZUu/unvq+WpLq6GoWFhY1ejqiuDS8vL3z++ef45JNP8OeffyIoKKjeKScSiQRTpkwxqJJERET6UIoIBpJmFiRiY2MbPH///n2T1ENUkKiursZPP/2EmzdvQhAE3Lp1q95rGSSIiIiMLzY2Fm5ubvXum6FteezGICpIREVF4ejRo2jTpg2efPJJTv8kIqImRRBqXvrd1ChVaTTt2rXDq6++imHDhmk9n5OTY5LZlaKCxPHjx+Hq6oqvv/4abdq0MXadiIiIDKKE/oMnJc1ssKWfnx9ycnLqDRISicQki0aKChJSqRTBwcEMEURE1CSJGjzZzMZITJgwAXK5vN7zXl5eWL58eaPXQ1SQ8PHxwYMHD4xdlybNsut1PLx8qvKeK4R7DFNERE1NaxhsGRAQ0OB5Ozs7BAUFNXo9RE3/nDBhArKyspCRkWHs+jRZihxvKK50UXsxRBARNU21YyT0fZH+RLVI9OzZEy+88AKWLVuGcePGoX///g3uONa+fXvRFSQiItJXa+jaeFhxcTG2bt2KuXPnmrRcUUFi1qxZqkEc27dvx/bt2xu8fu/evaIqR0RERLqRyWQ4evQo3njjDVhYiOpwEEVUkAgICIBE0ryTGxERtVytsUXCXEQFiZUrVxq7HkREREbTGgZbNhWiggQREVFT1hoWpGoqGCSIiKjFYdeG6YgKEo/aKKQu7rVBREQmx64NkxEdJBpaerN2IKYgCAwSRERELZioIFHfHFVBEFBYWIizZ8/i0qVLeOGFF9CtWzdRFUtNTcXx48eRkZGBu3fvwtHREd27d8eUKVMafOahQ4fwzTffwM7ODjt27NA4n52djdjYWGRlZUEqlaJdu3Z48sknMWHCBG48RkTUQgjQf8hDSxgiYYq9NR4mKkg89dRTDZ6PiIjAjh078NNPP+HZZ58VVbEDBw6gtLQUY8eOhbe3N0pKShAfH4+FCxdi2bJl6Nevn8Y9RUVF2LJlC9zd3SGTyTTO5+Xl4Z133kGnTp0wa9YsuLi4ID09Hdu3b0d2djYWL14sqq5ERNS0iBkjofeYiibG2dkZERERJl1DAmjEwZbh4eE4cuQIfvzxR3z00Ud63//aa69pbAoWHByMyMhI7NixQ2uQWLduHQICAuDk5ITExESN8ydOnEBlZSXef/99eHl5AQD69euHe/fu4dChQ5BKpXByctK7rkRE1MS0wiYJJycnREREmLzcRo0tvr6+uHjxoqh7te0sam9vDx8fH9y9e1fj3LFjx5CWloZ//vOf9T7TyqomNzk4OKgdd3JygoWFheo8ERE1bzXTPyV6vsxd6+apUYPErVu3oFQqjfa8srIyZGdnw8fHR+34gwcPsGnTJsyYMQNt27at9/6wsDA4Ojpiw4YNuH37NmQyGZKSknDw4EGMGjWq4TESFkrAQvHol8R43y8REYnTmjftunHjBtLT01FRUWGS8hrlI7hUKkVcXByuXr1q1C1MN27ciPLyckyaNEnt+IYNG9C5c2eMGjWqwfs7dOiAVatWYcWKFZg9e7bq+JgxY9S+1saq1zWd6qgscIeyoP4NzIiIqPG1xjEStfbs2YPffvsNq1atQo8ePVTH79+/jyNHjkAQBAwYMAC+vr5GKU/0pl31KS8vR2lpKQRBgI2NDWbMmCG6cnVFRUXh+PHjmDNnjtqsjVOnTiEpKQlr1qx55P4fd+7cwccff4w2bdrgvffeg6urKzIzMxEXF4fy8nK8+eab9d5beb0PIFg+uqKCBHA2TkNPaVfzjdcoCjDtYJ1aloHFZil3eIcrZil3vKPULOUCgJ0k0yzlxjmFmKXcu30dHn1RI6hycDZLuQDgclVuhlJbxptxc5aRkYEOHTqohYiqqiq8/fbbKCwshCAIiIqKwvTp0zFx4kSDyxMVJAoKCuo9Z2lpibZt2yIwMBAvvfSSRjeEGLGxsYiLi8P06dMxevRo1XG5XI6NGzdi9OjRcHd3h1Ra80u5uroaQE3LiJWVlarL4ocffoBcLsfXX3+tOhYYGAgXFxesWbMGI0eOrL8FRbDULUgQEVETIBGxUmXLCEFFRUXo3bu32rGEhAQUFBTA398fw4cPx4EDB7Bt2zb07t0bAQEBBpUnKkjs27fPoEL1ERsbi5iYGEydOlWjS6OkpAQPHjzAnj17sGfPHo17IyIiMGjQINW0zpycHHh7e2uMhejevTuAmumhxuyKISIi8xAz5qGljJGorKzUmFRw6tQpSCQSvPvuu/D09MTQoUMxZ84c7N+/3zxBwlS2b9+OmJgYTJ48WeuUFjc3N6xYsULj+M6dO5GWloalS5fCxcVFddzDwwO5ubmQy+Wwt7dXHb906ZLqPBERtQDNZPrn559/jgsXLqCiogIdOnTA9OnTMXDgQIOe6e7ujsLCQtXXFRUVOH/+PHr37g1PT08AQPv27dGnTx9kZGQYVBbQhINEfHw8oqOjERwcjNDQUNWbfa1evXrBxsZGawvC77//DgsLC41zY8eOxfLly/Hhhx9i3LhxcHFxweXLl7Fz5054e3sjJMQ8fbdERGRczWWw5eTJkzFv3jxYW1sjMzMTH374ITZt2qT2IVhfQUFBOHr0KHJzc9GlSxccPXoUlZWVGu9x7u7uopdoqEunIJGZadigrLoDPnSVlJQEAEhJSUFKSorG+f379+v9zEGDBuGTTz7Bzp07sWnTJpSVlaFdu3Z49tlnER4eDmtra72fSURETVAzaZHo0qWL6v8tLCxQXV2NoqIig4LEiy++iISEBLz//vsIDAzE33//DQsLCzzxxBNq15WUlGh0gYihU5BYuHDhI2dENGTv3r1637Ny5UrR5c2bNw/z5s3Teq5v377o27ev6GcTEVHT1xgtEjKZDHFxccjJyUFOTg5KSkoQERGBqVOnalwrl8sRFRWFkydPorS0FJ07d8bEiRMxfPhwjWu/+OILJCYmoqqqCqGhoQZPy/T29saiRYuwdu1a/Pnnn5BIJHj55ZdV3RoAoFQqkZWV1eDaS7rSKUgEBAToHSQyMzNRWVlpUAAhIiJqKkpLS3Ho0CH4+vpi8ODBOHz4cL3XrlixAllZWZgxYwY6deqEEydOYNWqVVAqlRgxYoTatQsXLoRCoUBqaipu3LhhlPfNkJAQfP/998jPz4ejoyPc3NzUzp87dw5SqRTDhg0zuCydgoQ+rQPJycmIiYlBZWUlAHHdGkRERAZphK6N9u3bIzY2FhKJBMXFxfUGieTkZJw7dw4LFy7Ek08+CaCmNbygoABbtmzBE088AUtL9eUELC0tERwcjP3796Njx44IDQ3Vs/KaLCws0LlzZ63nBEFAWFgYhg4danA5RhtsmZKSgpiYGGRlZUEQBHTv3h0RERFG+WEQERHpRwL914Vo+HpdWwpOnz4Ne3t7jU/7Tz/9NL744gtkZmZqrPNQS6lUIj8/X7fqGiAkJMRoEwwMDhJnz55FTEwMMjMzIQgC/P39MXXqVAwYMMAY9SMiItKfGQdb5ubmonPnzhqtDrVjH3Jzc9G7d2/cv38fFy9eREhICKytrZGYmIgLFy5g5syZxqmIiYgOEqmpqYiOjsbly5chCAK6du2KqVOnGjz/lYiIyGBmDBKlpaVqAxtrOTs7q87X2rdvH77++mtIJBJ4eXnh3XffhZ+fn6hyi4uLsXXrVsydO1dcxUXSO0icP38eMTExyMjIgCAI8PPzQ0REBAYPHtwY9SMiItKfIGKJbBOvI+Hm5obPPvvMaM+TyWQ4evQo3njjDVhYmG6/JJ2DxIULFxATE4OLFy9CEAT4+voiIiICQ4YMacz6ERERNSvOzs5qrQ61ao/Vtky0FDoFiQ8++ABpaWkAAB8fH0RERODxxx9v1Io1Ndael/HwQBxFaVsope3MUyEiIqqXOffa8PX1RUJCAhQKhdo4idzcXADqi1C1BDoFiQsXLkAikcDGxgbu7u44fPhwg/Nn65JIJFiyZIlBlWwKqm735O6fRETNhRnHSAwePBiHDh1CYmKi2mqSR44cgbu7e4tbFkHnrg1BEFBRUYGzZ8/qVQAXpCIiIpNrpDESycnJqKiogFwuB1Cza/SpU6cA1EyptLOzQ2hoKPr374/169dDJpPBy8sLCQkJSElJwYIFCzRmczR3OgWJ5cuXN3Y9iIiIjEYi1Lz0vedRNmzYgIKCAtXXp06dUgWJzZs3w87ODgCwaNEibNu2DdHR0aolst9++22tS2Q3dzoFCW07bBIRETVZjdS18d133+n0KHt7e0RGRiIyMlLPSjQ/TXYbcSIiItGawfTPxiAYa8SoHkw30ZSIiIgajbOzMyIiIky6hgTAFgkiImqJzDhrw1ycnJwQERFh8nIZJIiIqOVphUHCXBgkiIio5WnlQaK0tBS7d+/GuXPnIJVK4ejoiLCwMIwdO9boZTFIEBFRCyRisKXe2443TUVFRXjnnXdw9+5dCIIAe3t7FBQU4OrVq6prMjIyUF5ejsDAQFhbWxtUHgdbEhFRi1O7joS+r5bgxx9/RGFhIZ5++mnExMQgLi5OYzZHZWUlli5dihMnThhcnqggcf36dYMLJiIiIuNLSUlBx44d8e9//xtOTk5ar+nXrx9cXV2RlJRkcHmiujZef/11uLq6IiAgAEFBQQgMDGxxm5AQEVEz1orHSJSVlSEwMPCRW1R4eXnh2rVrBpcnKkiEhIQgIyMDiYmJOH36NADAxcUFAQEBCAwMRFBQEIMFERGRGbi7u6OoqOiR13l4eJgvSCxZsgRKpRI5OTlIS0vD+fPnVcEiMTEREokETk5OCAgIQN++fTF69GiDK0pERKSrxtprozno27cvjh49itzc3AY/1MvlclRXVxtcnuhZGxYWFujWrRu6deuG8ePHQxAE5OTk4MKFC0hLS8PZs2dx5swZnDlzpkUECavOWXh4RG9VtSeqq70arUylOTeIM9O/KD+Pe2Yp9x9up81SLqC9/9IUnnOoMEu5C/r/ZpZyv8T/mKXcyjv2ZikXAMrb25q+UMES9oa/NxmulS6RDQDjxo3DsWPH8Nlnn2Hp0qVo3769xjUVFRW4cuUKPDw8DC7PaNM/CwsLkZubi9zcXFy7dg1VVVU1BVi1jBmm8vK+4GxZIqJmohWPkejSpQtmzZqFb7/9FnPnzsXzzz+vdr6iogLr169HSUkJhgwZYnB5ot8ZCwoKkJaWhgsXLuDChQsoLCyEIAiwsrJC9+7dMWLECAQFBaFXr14GV5KIiEgvrThIAMALL7wAd3d3rF+/Hjt37gQA/PHHH0hPT0dhYSEUCgWcnZ0xadIkg8sSFSRmz56t2o/d0tJSIzjY2pqhOY2IiIhUhgwZgsceewwHDx7En3/+iWvXruH27duwsbFBSEgIZs6cibZt2xpcjqggcefOHUgkEvj4+GDixIkICQmpd64qERGRqbXmwZZ12dnZYfz48Rg/fjwAoLq62uhDDkQ9bdSoUUhLS0NeXh6++uorAICvr69qTYnAwEAGCyIiMp9W3rVRn8YYtyjqia+99hoAoKSkRDVLIy0tDfv378e+ffsgkUhUwSIoKAiDBg0yaqWJiIgaxCBhMgZFExcXFwwdOhRDhw4FULPbWFpaGv7++28cO3YM165dw/79+7F3716jVJaIiEgXralr4/r16/D29jbbc4zSxlFVVYXLly+rWicuXbqkmv75qCU6iYiIjK4VrSPx73//G0888QTCw8NFrSqdk5ODnTt3IjExEXv27NH7flFBQltwqK6uVu0u5uHhoVoqOygoSEwRREREpIMpU6YgPj4ef/zxB3x9fTFixAgEBgbCz89P65iIqqoqZGdn48KFCzhx4gSuX78OW1tbTJkyRVT5ooJEREQEqqqqVMGhXbt2qkGWQUFB8PT0FFUZIiIio2hFYyQiIiLw/PPP46effsLRo0exZcsWSCQSWFpaon379nBycoK9vT3kcjlKS0tRUFAApVIJQRDg4OCAMWPGIDw8HK6urqLKFxUkXF1dVaEhMDCQwYGIiJqU1jRGAgDatGmDyMhIzJgxAydPnsRff/2FjIwM5Ofna1zr5uaGPn36YMCAARg2bBhsbGwMKltUkPjuu+8MKpSIiKhRtaIWibpsbW3x1FNP4amnngIAFBcX48GDB5DJZHBwcECbNm1EtzzUh5tHEBFRi9PaWiTq4+rqavTg8DCDgkRubi5++eUXXLx4Effu1eza6O7ujoCAAIwaNUrU6FEiIiKDtdIWCXMQHST27duHLVu2qAZs1JJKpcjLy8Phw4fx6quvYuzYsUapqLnZ252HqbcRJyIikRgkTEZUkDh79iw2b94MW1tbPPfccwgLC0P79u0hkUhw584dHDt2DAcPHsR3332HLl26oF+/fsaut8lxG3EiIiJNot4Z9+zZA0tLS/znP/9B79691c75+fnBz88Pjz/+ON577z3Ex8e3iCBBRETNhwQixkg0Sk1aPgsxN2VlZSEwMFAjRNTVq1cvBAUFITMzU3TliIiIqGkT1SJRUVEBFxeXR17n4uKCiooKMUUQERGJxzESJiMqSLRt2xaXLl2CQqGApaWl1msUCgUuXbqEtm3bGlRBIiIifXH6p+mI6toYNGgQCgsLsXbtWshkMo3zMpkMa9euxd27dzF48GCDK0lERKQXQeSrBbhz547O1yYlJRlcnqgWifDwcJw+fRrHjh3Dn3/+idDQULVZG8nJyZDJZPD09ER4eLjBlSQiItJLK+7amDt3LiIjIxEWFlbvNZWVldi8eTMOHTqEvXv3GlSeqCDh7OyMTz/9FOvWrUNycjISEhI0rgkNDcXrr78OJycngypIREREuquqqsKaNWuQnJyMf/3rXxrvw1euXMGXX36JmzdvGmWvLNELI3h4eOCjjz7C7du3NVa27NOnDzfyIiIi8xExRqKltEisXr0aX3zxBU6ePImMjAzMmzcPffv2BQDs2LEDsbGxqK6uxtNPP43IyEiDyzN4hSVPT89GCQ2pqak4fvw4MjIycPfuXTg6OqJ79+6YMmUKunXrVu99hw4dwjfffAM7Ozvs2LFD6zXp6enYsWMHLl26hKqqKnh4eCAsLEz0XuxERNTEtOKuDW9vb3z11VfYtm0b4uPj8eGHH2L06NHIzs7GxYsX4ezsjH//+98YMmSIUcpr1KUaHzx4gD179mDmzJl633vgwAGUlpZi7Nix8Pb2RklJCeLj47Fw4UIsW7ZM6yJXRUVF2LJlC9zd3bUOAgWA48eP47///S+GDRuG+fPnw87ODrdu3VK1qBARUfMnEREkWtKsDUtLS8ycORMhISFYvnw5fv75ZwBAv379MH/+fLi5uRmtrEYJEoWFhdi9ezd+++03VFVViQoSr732Gtq0aaN2LDg4GJGRkdixY4fWILFu3ToEBATAyckJiYmJGueLioqwbt06PPvss/jXv/6lOl7b5ENERC1EK26RqCWTyXD48GG1D9Y3btxAXl6eeYKEUqlEQkICzp49iwcPHqBNmzYICQnBsGHDYGFRM4u0sLAQsbGxOHbsGJRKJQCInv75cIgAAHt7e/j4+ODu3bsa544dO4a0tDSsX78e27Zt0/rMw4cPo7y8HBMnThRVJyIiaiZaeZBIS0vDf//7XxQWFqJr16546623kJCQgF27duGjjz7CmDFjMGPGDFhbWxtclk5BQqFQYOnSpTh//rzaTp/Hjx/HyZMnsWjRIvz222/49ttvUVlZCaBmrYmIiAj4+fkZXMlaZWVlyM7O1mhBePDgATZt2oQZM2Y0uABWWloanJ2dcePGDXzyySfIzc2Fs7MzhgwZgldffRUODg4NlK7QsZYWELk8BxERkcF++OEHxMfHQxAEvPjii5g2bRqsrKzg6+uLkJAQfPXVV9i/fz9SU1OxYMEC+Pr6GlSeTkHi559/RmpqKqytrfHUU0+hS5cukMlk+Pvvv3HmzBl88803+O233yAIAh577DHMnDnTqAGi1saNG1FeXo5JkyapHd+wYQM6d+6MUaNGNXh/UVERKioq8OmnnyI8PByzZ89GVlYWoqOjkZubi88++wwSifZtWxwd/tapjtWlXlCUdtTtG3oEh3rqYgpVDjZmKTfniPH/3uhi8uBXzVLu6f5xZikXACKvDzdLuUfP9jFLuU7Z5tm91+6B0izlAoDt/SozlFoNNIFZ/615jMSuXbvg4eGB+fPnIygoSO1cQEAA1q5diw0bNuDEiRNYsGABdu3aZVB5Ov3L+uOPP2BhYYGVK1eiR48equPh4eFYv349Dh48CIlEgpkzZ+LFF180qEL1iYqKwvHjxzFnzhy1WRunTp1CUlIS1qxZU28IqCUIAiorK/HKK6+oFsoKCgqClZUVNm3ahNTUVPTv31/rvRW3gwBB+3Lg6oVw/zgiIrNrxV0bw4YN07p+RC0HBwcsWLAAAwYMwIYNGwwuT6c2+Bs3bqBXr15qIaJWbXDo1KlTo4WI2NhYxMXFYfr06Rg9erTquFwux8aNGzF69Gi4u7tDKpVCKpWiuroaACCVSlFeXq663tnZGUDNoM26QkJCAADZ2dn1V0Kw1O3Fbg0iIvNrxUtkv/POOzotBjl8+HCsXbvW4PJ0apGQy+Xo0KGD1nO1xxujKwOoCRExMTGYOnWqRpdGSUmJaorpnj17NO6NiIjAoEGDsHjxYgCAr68vLl++rHFd7biPR7VoEBFR89Cauzb0YYyNNXUKEoIgqGZmPKz2zdfGxvh96tu3b0dMTAwmT56MiIgIjfNubm5YsWKFxvGdO3ciLS0NS5cuVdvu/PHHH8ehQ4fw999/w9/fX3U8OTkZANCzZ0+jfw9ERGQGrbhrIy0tTa/rAwMDDSrPPKOPdBAfH4/o6GgEBwcjNDQUly5dUjvfq1cv2NjYaAwkAYDff/8dFhYWGueCg4MxcOBAbN++HYIgoGfPnsjKysL27dsxYMAABAQENOr3REREptGaWyQWLVqkVwu7yTbtOnr0KI4ePar1nEQiafC8mErWbm2akpKClJQUjfP79+/X+5lATd9RbGwsDh48iNjYWLi7u2PcuHFaWzyIiIiam5EjR2oNEoIg4O7du8jOzoZMJsPAgQONsrGmzkGi7voRprBy5UrR986bNw/z5s3Tes7W1hYzZ84UtdomERE1E624a6O+979apaWlWLt2LfLy8vDFF18YXJ5OQWLfvn0GF0RERGQyrThIPIqzszPmz5+PyMhI/PDDD3j99dcNeh7nKhIRUYsjEflqLezs7NCjRw/VMAJDNNnBlkRERAZpJS0MYsnlckilUoOfwyBBREQtTmuetaGLpKQkpKenw9vb2+BnMUgQERG1IGvWrKn3nFwuR35+PnJzcyEIAiZMmGBweQwSRETU8rTiwZZHjhx55DXt2rVDREQEwsLCDC6PQYKIiFqeVhwkli9fXu85a2truLm51bvthRgMEjqybpuBh8f0KsraQSlrb54KERFRvVrzGAltKz43JgYJHVXd7a3bNuJERGR+zaBFoqqqCuvWrUNqairKysrg4+ODf/zjH+jdu7dpK2IgriNBREQtjkQQ92e/AvIAACAASURBVDIlhUKBDh064LPPPsP27dvx/PPP4+OPP0Z5eblpK2IgnVok6ttDQ1fGGMxBRESks2bQImFnZ6e2z9NTTz2FzZs349atW/Dz89P5ObNmzRJdB4lEgk2bNom+H9AxSKxevVqvncRqCYIAiUTCIEFERM2eTCZDXFwccnJykJOTg5KSEkRERGDq1Kka18rlckRFReHkyZMoLS1F586dMXHiRAwfPrze51+/fh2VlZXw9PTUq14FBQV6fy/GpFOQmDJliqggQUREZA6NMdiytLQUhw4dgq+vLwYPHozDhw/Xe+2KFSuQlZWFGTNmoFOnTjhx4gRWrVoFpVKJESNGaFxfXl6Or776CpMmTYK9vb1e9Tb3flg6BQltaYuIiKjJaoSujfbt2yM2NhYSiQTFxcX1Bonk5GScO3cOCxcuxJNPPgkA6Nu3LwoKCrBlyxY88cQTsLT8/wfvV1dX47PPPoOPjw8mTZqkZ6XNj4MtiYio5RFEvhogkUh0ap0/ffo07O3tMWzYMLXjTz/9NO7du4fMzEzVMaVSif/+97+wtLTEm2++Kar1/4MPPsCuXbu0npPJZKisrNT7mfowOEiUlpbi7NmzOHHiBDIyMoxRJyIiIoOYc9ZGbm4uOnfurNbqAAC+vr6q87XWrVuHe/fu4Z133tG4XlcXLlzAjRs3tJ6LiIjAxo0bRT1XV6LXkbh//z6+/fZbnD59GoJQ89MPCwtTzX/95ZdfEBUVhcWLFyMgIMA4tSUiItKFGWdtlJaWah0w6ezsrDoP1AySPHz4MGxsbPDyyy+rrlu6dKnR3jcFQVC9RzcWUUGiuLgY77zzDu7cuYOuXbuid+/e+OWXX9SuGTx4MDZt2oRTp04xSBARET2kffv22L9/v7mrYTBRQSIuLg537tzByy+/jMmTJwOARpDw8PCAt7c30tPTDa8lERGRHiSCAOj5SVxipE/uzs7OqlaHumqP1bZMtBSixkicOXMGnTt3VoWI+rRr1w53794VVTEiIiLRGmGwpa58fX1x48YNKBQKteO1YyO6dOlinIKaCFFB4v79+zr9IGxsbCCXy8UUQUREJJo5B1sOHjwYcrkciYmJasePHDkCd3d39OjRwzgFNRGiujYcHR1RVFT0yOvy8/Ph5uYmpggiIiLxGmmwZXJyMioqKlQfkvPy8nDq1CkAQEhICOzs7BAaGor+/ftj/fr1kMlk8PLyQkJCAlJSUrBgwQLRszMacvToUa3bWUgkknrP1dq7d69BZYsKEr169UJycjJyc3PrbZm4ePEirl27pnUFr+bIxuMiNLYRL20LpbRdo5VZ7WC+3UYrXc2zkql9gXn28a34vfH+HBvSPfufZikXAOzumOfvV9t88/wZW8uVZinX7m6VWcoFAJvr901fqIUC6Gn6Yh/WWNuIb9iwQW1J6lOnTqmCxObNm2FnZwcAWLRoEbZt24bo6GjVEtlvv/12g0tkG6KxZ2Y0RFSQGD9+PJKSkvDJJ5/g3//+t8be5+np6aoFNsaNG2eUippb1e2e3EaciKg5aYT31u+++06n6+zt7REZGYnIyEjjV+IhzWKJ7IcFBATgH//4B7777jt89NFHsLe3h0QiwenTp5GUlASpVAoAiIyMhL+/v1ErTERERE2H6AWpxo4dix49emDnzp04f/48BEGATCaDtbU1+vfvj0mTJnH9CCIiMgsxAyeNNdiytREdJICasRKLFy+GIAgoKSmBUqmEi4tLowwkISIi0pmYUMAgIYpBQaKWRCKBq6urMR5FRERkMLZImI6odSTi4+N1uq60tBSffvqpmCKIiIjEq13ZUt8X6U1Ui8SWLVuQkpKCt956Cx4eHlqvSU1NxerVq3Hv3j2DKkhERKQvtkiYjqgWiaCgIKSmpuKNN95QzZ+tVV1drZrNce/ePUyYMMEoFSUiIqKmR1SLxPLly7F7925ERUXh888/x8iRIzFnzhwUFBTgyy+/xLVr19CuXTu89dZbGmtMEBERNToOtjQZ0YMtX3zxRTz22GNYtWoVjh07htTUVJSUlKCqqgpPPvkkXnvtNTg6OhqzrkRERDqRKPHwYsSPvodBQhRRXRu1/Pz8VAtSFRUVobq6GiNHjsSCBQsYIoiIyHzMuPtna2PQ9M/Tp09j3bp1kMlk8Pf3R15eHo4fPw4AmDNnDhwcHIxRRyIiIv0IejdIMEiIJCpIlJeX49tvv8WRI0dgaWmJmTNnYsKECcjNzcWXX36JY8eOIT09HfPmzePqlkREZHqCiCYGTv8URVTXxty5c/H777+jU6dO+PLLL/Hiiy9CIpHA19cXX331FcaMGYPCwkJ88MEH+PHHH41dZyIiogZJBHEv0p+oFolbt27hhRdewKuvvgobGxu1c9bW1pg9ezZCQ0OxevVq7Nq1C6+88opRKvv/2rv3sKiqvQ/g3xkG5C6geEVE1PCSoghqlnnJPIWXPCUInMx4jpHl6VVTe9SoNE/ayfLyqOkRSzsKSHLENK+louYlRFJEUVFDzQuIiDAwXGfeP2jmMM4AM5u58/08D4+y915rr7Vn2PObtdZey5zs212BqZcRJyIisnSCAomPP/4YwcHBDR7Tv39/rF69GmvXrhVUMEvDZcSJiKwIH/80GUGBRGNBhJK7uzvmz58v5BRERESCCeqmYCAhiEEW7SIiIrIoHGxpMjoFEocPHwYADB48GM7OzqrfdTVy5Ej9S0ZERCQQWyRMR6dAYuXKlRCJRAgICICzs7Pq98YoFAqIRCIGEkREZFoMJExGp0AiIiICIpEI7u7uar8TERFZIhHAwMBEdAokoqKiGvydiIiImicOtiQiItsjF7J4hqKJK1A1T3oFEunp6Th9+jQePHgAe3t7+Pn5YdSoUWjXrp2xykdERKQ/dmuYjM6BxJdffonjx48DqB1ECQBnzpxBSkoKPvjgAwwaNMigBTt//jxSU1ORnZ2NgoICuLi4oHv37oiIiEC3bt3qTXfgwAGsWbMGjo6O2L59e4Pn0OdYIiKyHpzu2nR0asQ5ePAgjh07BrFYjBdeeAExMTGYPHkyAgICUFVVhRUrVqC0tNSgBdu3bx/y8/Mxfvx4fPLJJ4iJiUFRURHmzJmD8+fPa03z8OFDbNq0CV5eXo3mr8+xRERkZRQKYT+kN53nkRCJRFi4cCECAwNV28PCwrBy5UocOXIEp06dwqhRowxWsGnTpsHDw0NtW1BQEGJiYrB9+3a1ciitXbsWvXv3hqurK06ePNlg/vocS0RE1oUtEqajU4tEbm4uAgICtH54h4eHQ6FQIDc316AFezKIAAAnJyf4+vqioKBAY9+RI0eQlZWFd955p9G89TmWiIiI6qdTICGTydC+fXut+5QDLcvKygxXqnqUlpbi+vXr8PX1VdteVFSEuLg4TJkyBa1bt24wD32OVSOq0e0HcgE1IyIig1II/CG96dS1oVAoIBZrjzmU2xUm6Ftav349ysvLER4errZ93bp18PHxQWhoaKN56HNsXQ6dLul0XE1RW9Q81h50ERGRaYiErLXBSEIQq5lHYuvWrUhNTcXbb7+t9tTGiRMnkJaWhlWrVjU626Y+xz6ptGwAAB2WEXcQA96GeRBZ7mC+2UNrHM1zXseH5jmvfal5WpLsZOZ7aN3tj2qznNcpT2aW8yrszPP3JG+hw33DWGTlpj+n2EJaZS2kGM2BzoHE4cOH612sSyQSNbj/hx9+EFa6PyUmJiIpKQmTJ0/G2LFjVdtlMhnWr1+PsWPHwsvLC1KpFABQXV17g5RKpZBIJHB0dNTrWO3sYEVxFxFRs8YWCdPR+ZPRFF0X2iQmJiIhIQFRUVEaXRrFxcUoKirCzp07sXPnTo20kZGRGDRoEGJjY/U6loiIrBxjApPRKZDYtWuXscuh1bZt25CQkIBJkyYhMjJSY7+npyeWLFmisT05ORlZWVlYuHChaqExfY4lIiIrxxYJk7HYtvqUlBTEx8cjKCgIwcHBuHz5str+Hj16wMHBAX369NFI+/PPP0MsFqvt0+dYIiIi0o3FBhJpaWkAgIyMDGRkZGjs3717t6mLREREVoITUpmOxQYSS5cuFZx21qxZmDVrlsGPJSIiK8GuDZOx2ECCiIhIKBEf/zQZBhJERGR72CJhMgwkiIjINukbF5hvDkCrZr5p9YiIiMjqsUWCiIhsjkiBP7s3yNgYSBARke1RKAQEEgw8hGAgQUREtkcOjpEwEQYSOnJyzMST77Kq6naoruaS4URElkbEFgmTYSChI1l5X/ByERFZCQYSJsNPRiIisj0MJEyGj38SERGRYGyRICIi28PBlibDQIKIiGwOB1uaDgMJIiKyPQwkTIaBBBER2R4GEibDQIKIiGwPAwmT4VMbREREJBhbJIiIyPbwqQ2TYSBBREQ2h09tmA4DCSIisj0MJEyGgQQREdkehQKQ6xkYiBlICMFAgoiIbI+QFgm9WzAIYCChMy4jTkRkRawkkNi7dy8OHDiAmzdvIjw8HFFRUSYvQ1MxkNBRoXswFCLTXi6XexUmPV9dvnvNc25RVY1ZzlvZxsU8521pvj9Bp/tlZjmv6NINs5xXUWae+jp06WyW8wKAvJWH6U8qMs/fsLXy9PTE3/72Nxw+fNjcRRGMgQQREdkeK2mReOaZZwAAp0+fNvm5DYWBBBER2R65gMGWjTy1UVZWhqSkJNy4cQM3btxAcXExIiMjtXZHyGQybN26Fb/88gtKSkrg4+ODiRMn4vnnn9ezTJaPgQQREdkehRxQ6DnDlELe4O6SkhIcOHAAfn5+GDx4MA4ePFjvsUuWLEFOTg6mTJmCjh074ujRo1i2bBnkcjmGDx+uX7ksHAMJIiKyPQoI6NpoeHebNm2QmJgIkUiEx48f1xtIpKen49y5c5gzZw6GDRsGAOjbty/y8/OxadMmDB06FHZ2dvqVzYJxrQ0iIrI9yq4NfX8aIBKJIBI13spx6tQpODk54bnnnlPbPmrUKBQWFuLq1atNqpqlYSBBRES2RznYUt8fA7h58yZ8fHw0Wh38/PxU+5VqampQWVkJuVyu+n9NjXU9+cKuDSIiIgMqKSlBu3btNLa7ubmp9islJSUhMTFR9fv333+PGTNmYNSoUcYvqIEwkCAiIttjJY9/RkVFWeUkVHUxkCAiIttjxkDCzc1NrdVBSblN2TJhKzhGgoiIbI9cLuzHAPz8/PDHH39ojHVQjo3o3Nl8s50aAwMJIiKyPWYcbDl48GDIZDKcPHlSbfuhQ4fg5eWFp556yiDnsRTs2iAiIttjpK6N9PR0VFRUQCaTAQBu3bqFEydOAAAGDBgAR0dHBAcHo1+/fvj6669RVlaG9u3b49ixY8jIyMDs2bNtag4JgIEEERGRztatW4f8/HzV7ydOnFAFEhs3boSjoyMAYMGCBdiyZQvi4+NVU2TPnTuXU2Q3Zx6lZ4EnJiKR2XdEuUNHM5WIiIjqpRCw1oao8eO/+eYbnbJycnJCTEwMYmJi9CuDFWIgoaMilwEmX0aciIiEUSjkjU55rZnIMIMtmxt+MhIRke0RsvqnDi0SpImBBBER2R4rmZDKFjCQICIi2yOXA/r2VIjYtSEE55FoRFVVVe1/mlXfmRx2bneh/1+htZLD3v4Wmk99ASjksHO5g2ZTZ5ECku5VgLiZfOMUySH2LkCzeX21MeM8Es0NA4lGKAMJUbP6g5TDzv1+8+kvFCngYP8HmtdNVw6J673m8xqLAclTNc3njidSQOz9sPm8vmRW7NogIiKbo5Ar9J/ymoGXIAwkiIjI9igUAh7/ZCAhBAMJIiKyPXKFgMGWDCSEsNhA4vz580hNTUV2djYKCgrg4uKC7t27IyIiAt26das33YEDB7BmzRo4Ojpi+/btBsmzKRwr7zRp9kuJ/X1UV7UzedqmELs8gLzUW1hatwLIS1qbPG1TSCT3UF3dXlDaFjV3UWHXweRpm0rslA+5rI2wtB3LIb/jaPK0TWHXuRo1N4XdLkWej6B45GnytE0hdn0AuVTY37DFUMgBhajx49TSMJAQwmKHHu3btw/5+fkYP348PvnkE8TExKCoqAhz5szB+fPntaZ5+PAhNm3aBC8vL4Pl2VROVXealF5if98saZvCzuWB4LRitwKzpG0Ke4nw69xCftcsaZvKzjm/8YPqS9ux3Cxpm8Kuc03jB9VD7FVklrRNYWemvyVDUsgVgn5IfxbbIjFt2jR4eHiobQsKCkJMTAy2b9+OwMBAjTRr165F79694erqqrF8q9A8iYiIqH4W2yLx5Ac+ULsIiq+vLwoKNKPlI0eOICsrC++8847B8iQiIiulkAv7Ib1ZbCChTWlpKa5fvw5fX1+17UVFRYiLi8OUKVPQurV+feT15UlERNZLoRDQtcExEoJYbNeGNuvXr0d5eTnCw8PVtq9btw4+Pj4IDQ01WJ5KyjeWSF6hU9SlgBgQ1TlSoYBIUa13uWpVo/b5JaHphab9sz9YJLRfWGFdaVVpmnDeprxGgt8fTUirTGeu18lO6A1bYFplmqacV9KEtOImXCshacV/frM2x+v7ZzqzfyjbCVj9084oJbF5VhNIbN26FampqXj77bfVnrA4ceIE0tLSsGrVKohE+o3QrS/Puqqra2+4XrLfBJe9tfQXYQlda/9xdj0j+NxNSevQPkt42g7CB6/adxZ+3qakdXE+24S0aYLTelZrjucxRVoAaOGdKTxtG+F/Ew7PPzJLWsdRlcLT/qVCcFpJj2tmSevQ6ZLwtL4XBKcFAJlMBhcXlyblIYREIoGnpycevSDsfeLp6QmJxGo+Gi2CVVytxMREJCUlYfLkyRg7dqxqu0wmw/r16zF27Fh4eXlBKpUC+N+Hv1QqhUQigaOj5uNi9eX5pLZt22LDhg2QSCQ6BSr29vawt7fXt4pERDZBoVBAJpPV+/ScsTk4OGDjxo2qzwF9SSQSODg4GLhUtk2kMHv7U8MSExORkJCAqKgoREZGqu3Ly8vD1KlTG0w/aNAgxMbG6pwnERER6c6iA4lt27YhPj4ekyZNwuuvv66xv7KyEleuXNHYnpycjKysLCxcuBDu7u7o3LmzznkSERGR7iy2ayMlJQXx8fEICgpCcHAwLl++rLa/R48ecHBwQJ8+fTTS/vzzzxCLxRr7dMmTiIiIdGexgURaWu3gtYyMDGRkZGjs3717t0XkSURE1JxZdNeGsVy8eBHbt2/H5cuXUVVVhVatWmHkyJGIiIgAAFy4cAELFizQmnbZsmUaLRcymQxbt27FL7/8gpKSEvj4+GDixIl4/vnnjV4XXRmyzuZYs0Rfhn6N62poPRdzMUZ9G8vT3Axd5+vXryMxMRE5OTmQSqXw9vbGsGHD8Ne//lXrgG1T0/X10PU4a7hvkXWw2BYJY0lNTcWKFSvw3HPP4f3334ejoyPu3buHwsJCjWPfeOMNje6RuuMtlJYsWYKcnBxMmTIFHTt2xNGjR7Fs2TLI5XIMHz7cWFXRmaHrvG/fPpSUlGD8+PHo1KkTiouLkZKSgjlz5mDRokVmn2rcGK+xUt31XMrKygxediGMUV998jQHQ9f51q1b+OCDD9CxY0dMnToV7u7uuHjxIrZt24br169rDNg2NV3rq891sfT7FlmPZhVIPHz4EGvXrsVf/vIXvPvuu6rtffv21Xp8hw4dGh03kZ6ejnPnzmHOnDkYNmyYKr/8/Hxs2rQJQ4cOhZ2d+WY5MUadLXnNEmPUt67G1nMxNWPUV988Tc0YdT569CgqKysxf/58tG9fu5JrYGAgCgsLceDAAUilUri6uhquEnrQtb76XBdLv2+RdbGqKbKb6uDBgygvL8fEiRMNluepU6fg5OSE5557Tm37qFGjUFhYiKtXrxrsXEIYo86WvGaJMeqrpMt6LqZmjPoa8xoagjHKp5yAyNnZWW27q6srxGKxWSco0rW++lwXS79vkXVpVi0SWVlZcHNzwx9//IF//vOfuHnzJtzc3PDMM88gOjpa4yayfv16fPHFF2jRogV69OiBSZMmoXfv3mrH3Lx5Ez4+PhrRu5+fn2p/z549jVqvhhijztoo1ywx97dWY9W3Keu5GJMx6qtvnqZmjDqPHDkSP/zwA9atW4c333wT7u7uyMrKwv79+xEaGmrWMRK61lef62Lp9y2yLnYLFy5caO5CmMr27dtRXFyMkydP4uWXX0Z4eDjatm2LXbt2ITMzE6NGjYJIJIJUKoWDgwPGjBmD0NBQBAQE4OzZs9i5cycCAgJUTZ8A8N///hetWrXCiBEj1M4ll8uxc+dO9OzZU6cPYmMxRp21Wb16NW7cuIFZs2aZbUY7wHj1XbFiBRwcHPDuu+9CJBLh9OnTuH37dr1rtJiKMeqra562VGdXV1cMGjQIP/74I+Lj45GcnIxjx47hpZdeQkxMjFXUV5/XzdLvW2RdmlWLhEKhQGVlJd544w2EhYUBAPr06QOJRIK4uDicP38e/fr1Q9euXdG1a1dVut69e2Pw4MF47733sGnTJgQFBZmrCnozRZ11WbPEVIxR36as52JsxqivrnmaizHqnJeXh8WLF8PDwwPz5s1Dy5YtcfXqVSQlJaG8vBz/93//Z/J6KulaX0t/3ch2NasxEm5ubgCg8aE4YMAAALWPf9XH1dUVISEhyM3NRUXF/xbvcXNzQ0lJicbxym3Kc5qLMepcl65rlpiKoeurbT0XqVSqtp5LeXm5MaqiE2O9p4XmaQrGqPN3330HmUyGTz/9FM8++yyefvppvPrqq3jrrbfw008/4cKFpi1g1RS61lef62Lp9y2yLs0qkFD2/z1JtVR4I982tR3n5+eHP/74AzU16kvu3rx5E0DDjxKagjHqrFR3zRJzN/ErGbq+xcXFKCoqws6dOxEZGan6OXbsGMrLyxEZGYkvv/zScBXQk7He003J09iMUecbN26gU6dOGmMhunfvDqD28VBz0bW++lwXS79vkXVpVoHEkCFDAABnz6ovF52eng4ACAgIqDetVCrFmTNn4O/vr7Yy3ODBgyGTyTQeBTx06BC8vLzw1FNPGar4ghijzkDtmiUJCQmYNGmSRS18Zuj6enp6YsmSJRo/QUFBcHBwwJIlSzB58mQj1aZxxnh9m5KnKRijzq1atcKtW7cgk8nUjldOo9+qVSuDlF0IXeurz3Wx9PsWWZdmNUYiKCgIAwcOxLZt26BQKBAQEICcnBxs27YNISEhqsFFy5Ytg7e3N7p37w53d3fcvXsXKSkpKCoqwsyZM9XyDA4ORr9+/fD111+jrKwM7du3x7Fjx5CRkYHZs2eb/VlsY9TZktcsMXR99V3PxdSM8frqmqe5GKPO48ePx2effYaPPvoIr7zyCtzd3XHlyhUkJyejU6dOqu4Bc9C1vvq8bpZ+3yLr0uymyK6oqEBiYiKOHj2KR48ewcvLC8OHD0dkZCTs7e0B1I6S/uWXX5CXlweZTAY3Nzf06tULEydO1Bqpy2QybNmyRW2q2bCwMIuZatbQdZ4/fz6ysrLqPZ+51ywxxmv8pBUrVuDkyZMWMUW2MeqrS57mZIw6Z2ZmIjk5Gbm5uSgtLYW3tzdCQkIQFhYGd3d3U1dRja6vhz6vm6Xft8h6NLtAgoiIiAynWY2RICIiIsNiIEFERESCMZAgIiIiwRhIEBERkWAMJIiIiEgwBhJEREQkGAMJIiIiEqxZzWxJ2o0bN07td5FIBGdnZ3Tu3BkjR47E6NGj1ebpT0hIQGJiImbMmIFRo0aZtKxNOXd5eTn279+PtLQ03L59G1KpFC1atICPjw/69euH0aNHo02bNk0qn3Kyro0bN6Jt27ZNysvS1Z2YbMmSJVpn+bxw4QIWLFiAoKAgLFq0yNRFbNS4cePQpk0bfPPNN+YuCpHVYiBBKiNHjgQAyOVy3L9/H9nZ2bh06RIyMzMxd+5cM5euaS5fvoylS5eisLAQLVq0QEBAADw8PFBWVoacnBwkJSVhx44d+Pjjj7nUsgDx8fH4/PPPzV0MIjIDBhKkMmvWLLXff/vtNyxatAjHjh3DsGHDMHDgQADAmDFjMHToUHh5eZmjmHr7/fff8eGHH6KyshKvvfYaIiIi1FZ5lMvlOH36NDZv3oyCggIzltQ6OTg44OLFizh//jwCAwPNXRwiMjGOkaB69e/fHyNGjAAAnD59WrW9ZcuW6NSpE1xcXMxVNJ0pFAosX74clZWViIqKwptvvqmxVLRYLMaQIUOwYsUK1bLRpLvQ0FAAtd1ORNT8sEWCGuTv7w8Aat/UtY1TSE9Px6JFi9C+fXusWrUKTk5OquMVCgViY2ORmZmJ6OhovPrqq2rnuHjxInbu3Ins7GyUlpbCy8sLAwcOREREBFq2bNmk8mdkZCA3NxetW7dGeHh4g8e6uLhoBEfl5eXYuXMnjh8/jvv370MikaBLly4IDQ3VeXGjvLw8TJ06FU8//TSWLl2qsb++cR9///vfkZ+fj927d2PPnj3Yu3cv7t+/Dw8PD4SGhuLVV1+FSCTCtWvXEB8fj8uXL6OmpgZ9+/ZFTEyMxniPFStW4PDhw1iyZAlEIhESExORk5MDAOjduzeio6Ph6+urU53qevbZZ3Hu3DlcunQJ586d06lrqLGxLnXrrqQcbzFy5EhER0fjP//5D86cOYPy8nJ06dIF0dHR6NmzJwBg37592Lt3L+7evQt3d3eMHj0akyZNglis/btTVVUVvv/+e6SmpuLhw4eqxa7Cw8PVlhuve/y+fftw5MgR3LlzB3K5HL6+vnjppZfw4osvqo0pAv43FmP9+vVITk7G0aNHkZeXhwEDBiA2NrbR60VkydgiQQ2SyWQA0OiKj8HBwRgzZgzu3buHDRs2qO1LSUlBZmYm+vbtiwkTJqjt27VrF+bPn4+0tDS0b98egwYNgoODA3788UfMnj0bhYWFTSp/eno6gNoPO32XRi4rK8P8+fMRHx+Px48fzzjcGAAACslJREFUIyQkBD179sTVq1exbNkyxMXFNalsuoqLi8O3336Lli1bIjAwECUlJdi8eTMSEhJw6dIlzJs3D3l5eejbty88PDzw66+/IjY2FhUVFVrzS0tLw4cffoiSkhL0798fXl5eSE9Px7x58/Do0SNBZYyIiABgmlaJ0tJSzJ07F2fPnkWPHj3QuXNnZGdn46OPPsLNmzexYcMGbNy4Ea6urggMDERpaSkSEhKwdetWrfkpFAp8/vnn2LFjBzp16oTg4GBIpVIkJSXh008/RU1Njdrx5eXl+OijjxAXF4f8/Hz07NkTffr0wb1797B69Wp8/fXXWs8jl8vx2WefYceOHar3urV0DxI1hC0SVC+FQoEzZ84AAPz8/Bo9Pjo6GpmZmfj5558REhKCIUOG4Pfff8eWLVvg4uKCmTNnqn0jvHz5Mr755ht4e3sjNjYWXbp0UZ03KSkJ8fHx2LBhA+bNmye4DtevXwcAdO3aVe+0W7ZswbVr19CvXz8sWLBA1cpy+/ZtLFiwALt27UL//v0RHBwsuHy6OHHiBJYvX47OnTurzj9jxgykpKTg8OHDmDx5Ml555RUAtd+UFy5ciMzMTBw/flzrt/1du3bh/fffx7BhwwAANTU1+OKLL3Dy5Ens2bMHr7/+ut5lHDJkCLp06YLs7GxkZGQgKCioCTVu2K+//oqhQ4di5syZqtYCZQvHv/71L5SVlaldr1u3bmHGjBnYtWsXwsLC1FrLAODBgwdQKBRYu3Yt2rVrBwB4/PgxPvzwQ5w/fx579uzB+PHjVcd/++23uHjxIkaMGIF33nlHld/jx4+xePFi7N+/HwMHDkRISIjaeQoKCmBvb4/169ejVatWRrs+RKbGFgnSUFNTg7t372LVqlW4fPky7O3tdXrUskWLFpgzZw4kEgnWrFmDe/fuYdmyZaiursb06dPh7e2tdnxycjLkcjmmT5+uCiKA2sdPJ02aBH9/f5w6dQqPHz8WXJeSkhIA0LuLpLy8HAcPHoRYLFb7sACATp06qbpJ6ja9G8vrr7+u+lBUnj84OBgVFRXw9vZWBRFAbcuR8kPvwoULWvN7/vnnVUEEANjZ2SEsLAxAbTeTECKRCJGRkQCM3yrh4uKCd999V63LYcKECRCJRLh9+7bG9fL19UVISAgqKipw7do1rXlGRESoggig9v0SHR0NANi7d69qe1FREX766Se0bdsW7733ntr7omXLlpg+fToAYP/+/VrPM2XKFAYRZHMYSJDKuHHjMG7cOEyYMAFvv/02Dh06BCcnJ8ydOxft27fXKQ9/f39MnjwZJSUlmDlzJm7fvo0RI0Zg6NChasfJ5XJkZmbCyclJ60h/kUiEXr16QS6Xq1oVhFAoFILSXbt2DZWVlejevTs6dOigsV85CDU7O1vwOXSlbcyB8kOvf//+9e6rr5tCW5qOHTs2mEYXgwcPhr+/P65cuYKzZ88Kzqcx3bp1g6urq9o2Z2dnuLm5AWj4etXXVfbk+xMABgwYAFdXV9y5c0cVzGZlZaG6uhpBQUFau/u6dOkCJycn1diTukQikerJJyJbwq4NUlHOIyEWi1UTUg0ZMkTjpt2YCRMm4Pjx47h27RpatWqFadOmaRxTUlKiGn/x5LiJJxUXF+t1/rrc3d3VPgh0pfzAqW9SKVdXV7i4uKC0tBRlZWVGfYJF2zdY5ZMnDe2rqqrSml/r1q01tim/WdeXRhfKVonPPvsMCQkJGDBggOC8GlLfN3pHR0cUFxfrfU1cXV3h7OysNc82bdpAKpWisLAQLVu2RH5+PoDawZz79u2rt4yVlZUa21q2bNnoWCMia8RAglSenEdCqFu3buHmzZsAaoOA/Px8jTEWcrkcQO0H2DPPPNNgfk92iejD398f2dnZuH79uqoVwdCeHKGvL+W1MFb+xs6vrsGDB6Nr1664evUq0tPT0aJFC0H5NHZNGmLI+j3Z2qQceOnv76/TuKG6tD39QWQLGEiQQVVVVeGrr75CVVUVhg8fjtTUVHz11VdYvny52rcxd3d32NvbQyKRGCyA0SY4OBh79uzBiRMnEB0drfOTG8rR9Hl5eVr3l5aWorS0FI6OjhqD954kkdT+mZWXl2vdb2uTYEVFRWHx4sVISEhQjTN4UkPXpKamBkVFRUYtY11SqRRlZWVaWyUePHgAAPD09ATwv9acPn36YOrUqSYrI5El4xgJMqjNmzcjNzcXw4cPx+zZszFs2DDk5uZi8+bNasfZ2dmhT58+KCkpUa3XYAwDBgyAr68vCgoK8P333zd4bFlZmaolpVu3bnBwcEBOTg7u3r2rcWxqaioAoFevXo1+A3Z3d4dEIkFeXp7Go4RVVVVGrb85DBw4EN26dUNOTg7S0tK0HqMM1O7cuaOxLzMzE9XV1UYt45OOHz+usS0jIwNSqRQdOnSAh4cHAKBv374Qi8U4c+aMxmtJ1FwxkCCD+e2337B79254e3urxkVMmzYN3t7e2L17N3777Te148PCwiAWi7FixQqtTws8fPgQe/bsaVKZRCIRZs+eDQcHByQkJOC7777T+BasUCjw66+/YtasWapBco6OjnjxxRchl8uxbt06tTR37txBUlISAGDs2LGNlsHe3h4BAQEoKSlRq091dTU2btxYb6uHNYuKigKg/sRDXU8//TSA2oCsbv3v37+Pf//738Yv4BO2bdumVo7Hjx9j06ZNAP43cydQOz7jhRdewN27d7F8+XKtY2+ys7NV85cQNQfs2iCDKC4uxsqVKyESiTBr1izV4ENXV1fMmjULsbGxWLlyJVavXg13d3cAtR8mb731FuLi4jBv3jz4+fmhQ4cOqKysxIMHD3D79m04OTlhzJgxTSqbv78/Fi9ejKVLlyI5ORm7d+9Gjx494OHhgdLSUly7dg1FRUVwcHBQG4/xxhtv4MqVKzh37hzeeust9O7dGxUVFcjMzERlZSXGjRunMVdAfSIiIvDJJ58gLi4Ox48fh6enJ65du4aKigqMHDkShw8fblIdLU1ISAieeuopXL16Vev+du3aqeo9Y8YM9O7dG+Xl5bhy5QqCg4NRVVWlGthobN7e3vDz88P06dMRGBgIOzs7ZGZmorS0FH379tUIFmNiYpCXl4djx47hzJkz8Pf3h5eXFx49eoR79+7h4cOHGD9+vNHnFyGyFAwkyCDWrFmDwsJCvPbaaxrLSffp0wcTJkzAjh07sGbNGixYsEC1b+zYsejRowd++OEHZGVlIS0tDU5OTmjVqhVefvllPPvsswYpX69evbBhwwbVMuK5ubmQSqVwdHSEj48PXn75ZYwePVrtiQZnZ2csXboUKSkpOH78ONLS0iCRSNCtWzeEhoaqzcXQmH79+iE2NhaJiYm4fv06HB0dERgYiDfffBOHDh0ySB0tTWRkZINLh//jH/+Al5cXUlNTkZGRAW9vb4SFhWHixImIiYkxWTlFIhHmz5+PxMREHD16FIWFhfDy8sKYMWMQHh6uMa7G0dERn376KQ4dOoQjR44gNzcXV65cgYeHB9q1a4fx48frPH06kS0QKYz9EDwRERHZLI6RICIiIsEYSBAREZFgDCSIiIhIMAYSREREJBgDCSIiIhKMgQQREREJxkCCiIiIBGMgQURERIIxkCAiIiLBGEgQERGRYAwkiIiISDAGEkRERCQYAwkiIiIS7P8BMy4YxH8+d9EAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(frame=100, scale='log', show_colorbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The target pixel file appears to show one bright star with a core brightness of approximately 50,000 electrons/seconds." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will use the ``to_lightcurve`` method to create a simple aperture photometry lightcurve using the\n", "mask defined by the pipeline which is stored in `tpf.pipeline_mask`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the output lightcurve." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's use the `flatten` method, which removes long-term variability that we are not interested in using a high-pass filter called *Savitzky-Golay*." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "flat, trend = lc.flatten(window_length=301, return_trend=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the trend estimated in red:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc.errorbar(label=\"Kepler-10\") # plot() returns a matplotlib axes ...\n", "trend.plot(ax=ax, color='red', lw=2, label='Trend'); # which we can pass to the next plot() to use the same axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the flat lightcurve:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flat.errorbar(label=\"Kepler-10\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's run a period search function using the well-known Box-Least Squares algorithm (BLS), which was added to the [AstroPy package](http://docs.astropy.org) in version 3.1.\n", "\n", "We will use the BLS algorithm to search a pre-defined grid of transit periods:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "periodogram = flat.to_periodogram(method=\"bls\", period=np.arange(0.3, 1.5, 0.001))\n", "periodogram.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like we found a strong signal with a periodicity of 0.8 days!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best fit period: 0.837 d\n" ] } ], "source": [ "best_fit_period = periodogram.period_at_max_power\n", "print('Best fit period: {:.3f}'.format(best_fit_period))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flat.fold(period=best_fit_period, t0=periodogram.transit_time_at_max_power).errorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We successfully recovered the planet!" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }