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An example of using Astropy to plan your Great American Eclipse timing
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Can Python and [Astropy](http://www.astropy.org) help you plan for the Great American Eclipse of 2017?\n",
"\n",
"### Erik Tollerud"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import pytz\n",
"import datetime\n",
"\n",
"from astropy import units as u\n",
"from astropy.time import Time\n",
"from astropy.coordinates import EarthLocation, AltAz, get_sun, get_moon"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Columbia, SC "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets say you live in Columbia, South Carolina, and you think you heard on the news that the eclipse was going to happen at 2:40.\n",
"\n",
"Lets first create some objects for your location and your guess for the time of the eclipse."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"columbiasc = EarthLocation.of_address('Columbia, SC')\n",
"tz = pytz.timezone('US/Eastern')\n",
"guess_time = Time(tz.localize(datetime.datetime(2017,8, 21, 14, 40, 0)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's create some objects to represent the sun and the moon at that time. (Note that this might require downloading some files from the internet...)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$1.12842\\mathrm{{}^{\\prime}}$"
],
"text/plain": [
"<Angle 1.1284151386349723 arcmin>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aaframe = AltAz(obstime=guess_time, location=columbiasc)\n",
"\n",
"sunaa = get_sun(guess_time).transform_to(aaframe)\n",
"moonaa = get_moon(guess_time).transform_to(aaframe)\n",
"\n",
"sep = sunaa.separation(moonaa).to(u.arcmin)\n",
"sep"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hmm, but now we need to know how big the Sun and Moon are on the sky. Astropy has the Sun's radius built in, but we'll have to look up the moon. [Wikipedia](https://en.wikipedia.org/wiki/Moon) to the rescue! (Check the sidebar on the right under \"mean radius\".)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from astropy import constants\n",
"\n",
"R_sun = constants.R_sun\n",
"R_moon = 1737.1 * u.km\n",
"\n",
"def apparent_size(R, distance):\n",
" return (R/distance).to(u.arcmin, u.dimensionless_angles())"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$15.801029 \\; \\mathrm{{}^{\\prime}}$"
],
"text/plain": [
"<Quantity 15.801029433026315 arcmin>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sunsize = apparent_size(R_sun, sunaa.distance)\n",
"sunsize"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$16.294567 \\; \\mathrm{{}^{\\prime}}$"
],
"text/plain": [
"<Quantity 16.294566599098005 arcmin>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"moonsize = apparent_size(R_moon, moonaa.distance)\n",
"moonsize"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So is the eclipse happening? Lets try plotting the moon and the sun on top of each other..."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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CF7QsKCIzgfdVdUWmbyIic0WkTkTq6uuDzxXJ7DiuBZjZzp1w7FiMoRiTUvDayYkTJ2Jf\nWCvOZLML2KWqb3iPF+KSDyJyMzATuElTX+T/FHCtiGwHHgGmisjPU30TVb1PVWtUtaaioiLiH6G5\nF3D5MjNrQpncCHcJO+6mVGzJRlX3ATtFpNp7ahqwXkSm45pH16pqys9/Vb1LVfur6iDgS8CLqvqV\nuGL150nfR1qyMblxCL/rYKcS93ibuK9G3Q4sEJE1wBjc+pk/AcqBpSKySkTuBRCRviLydMzxhODv\n6vsHH9hAPpNLwRPGwYMHee+94Mkqk7LYzgyo6iqgpsXTVa0cuweYkeL5lwmzynMkduJ3ZbR33ok3\nEmPS2xmq9NatW+nTp09EsZzNRhD7krGf+hN79sQYhjEZ7Q1Vek+Mb2BLNr74H85tycbk1hHgcODS\ne/eGS1bpWLLxxV/NpqHB9dkYk1vBP/EOHDjA8Zj2hc6YbESkk4j8pYjc7z0e5o2DaUP8JZt9+9yy\nEsbkVn42pfzUbB7E7VVS6z3eDfxdLNHkpZ34XVjamlAmP4R7I8bVlPKTbIaq6veBkwDe2BiJJZq8\n5L9zOMbmrjFZKNyaTYOInIfbig8RGYqfXdmKhnUOm0KTn53EfpLNt4ElwIUisgA3bv+OWKLJSxt9\nHWWdwya/BH8zxtVJnHFQn6ouFZG3gPG45tM3VbUN/Vv5q658+KF1Dpt8ErxmA7B//3769esXUSxO\nq8lGRC5r8VRT3WqAiAxQ1eSWZc8pf1XKw+H+tsZELNwb8nAMb+h0NZsfel874qYcrMbVbC7FdWTU\ntlKuyFiyMYUo3BvyyJEjEcVxRqt9Nqp6lapehftvu8xbxuFyYCx+JwoVvAP47QuP4W9jTAjh3pBx\n1Gz8dBBXq+rapgequg64KPJI8pL/Xnmr2Zj8UljNqCZrRGQ+bnNrgJsIs+dnQfF/LduSjckvhZls\nvgb8T9xOBwC/we9G1wXPf83GmlEmv4R7Q8bRZ+Pn0vdx4MferY3Z5/tIq9mY/HIS19/YIVDpnNRs\nROR3eKOHm1PVIZFHk3f8rTkMVrMx+egkQZPN0aNHaWxspKQkuoUh/DSjmq+01xG4EegZWQR57VTm\nQ3Cb0Z3yd6gxCQq+C5KqcvLkSTp0CJasUsmYtlR1f7PbblX9Z9zmcW2AvwzSmEc7WxlzRrg3ZmPE\nb2w/zajmI4lLcDWdWNcuzh8nfR1lycbkpwJLNpwZSQzuo/53wBcijaLAWbIxxSgXyeZWVd3W/AkR\nGRxpFHnLXwXOko3JT+E6d1PvHxmcn2gW+nyuCPlLNhF22BsToXBvTJFo18hLN+t7BHAJ0E1Ebmj2\nUlfcVak2oJ2voyzZmPwU7o1ZWloaURxOuo/uatx+3N2Bzzd7/jBwW6RR5C1/OTXiv4kxEQl3HSfK\nMTaQJhpVfQJ4QkRqVfX1ICcXke7AfGAkbmDgLcANuOTVALwDfE1VD7Yo1xE3LaKDF+NCVf12kBjC\n8bczoNVsTP4pJWwDJLFkIyJ3eAudf1lE5rR8XVX/2Mf57wGWqOpsEWkPdAKWAnep6ikR+UfgLuD/\ntCh3ApiqqkdEpB3wmog8o6rLfP5cEan0dVRJCXToACfa0MrMJt91CVW6tLSU9u3bRxSLk66etcH7\n6n/F72ZEpBswCbgZQFUbcLWZ55odtgyY3bKsum7wpgkA7bxbDhbd9JdsALp0sWRj8kl5qNJduoRL\nVqmka0Y96d09pqqPN39NRG70ce7BuA2XHhSR0bg9Ub6pqs0nHN0CPJqqsIiUemWqgH9R1TdaOW4u\nMBdgwIABPsLKRl/fR5aXw/79EX97YwILl2zKy8OVT8VPo+wun8+1VAZcBsxT1bG4WY13Nr0oInfj\nBgkuSFVYVU+r6higP3CFiIxs5bj7vFUEayoqKnyElY0K/HayxfC3MSaEcDWTOJJNuj6bzwIzgH4i\n8n+bvdQVf5OGdgG7mtVIFuIlGxG5GXela5pmGDmkqgdF5CVgOrDOx/eNkAAX4H6U9GKodRoTQmHV\nbPbgmjHHva9Nt8XANZlOrKr7gJ0iUu09NQ1YLyLTcftOXevtrnkOEanwrmThbZD3afxu4BQ5f/02\nVrMx+aWw+mxWA6tF5OeqGnQBhduBBd6VqG24Vf+W4y5pL/VGKC5T1W+ISF9gvqrOwP2HP+T125QA\nj6nqUwFjCMlfv40lG5Nf8q9mk64ZtZYzW+62fFlVdXSmk6vqKs5eDwdch2+qY/fgmm2o6hrcLg55\nIGW457BmlMkv4ZacSjTZ4PpUWhLgQvx1EBeJy30dZTUbkz86Aj1CnSHRZKOqO5rui8hY4Mu4Vfp+\nB/wy8kjyVsuKWWo9e0JZma3YZ/KB//FhqZSWltKrV6+IYjkjXTNqODDHu32AGw8j3sZ1bUgV7gLc\nR2mPKimBCy6AXZkvXBkTM//jw1KpqKigrCz69fHSXY3aCEwFZqrqBFX9f8DpyCPIe4IbLpRZ33B/\nY2MiEq5m0zemN3K6ZHMDbuOkl0TkfhGZhvvPa4P89dtUhvsbGxORcMki8WSjqr9W1S8BI4CXgG8B\nvUVknoh8JpZo8pa/ZGM1G5N74TuHK2P61PSzu8JRVf2Fqn4eN3VgJefO0i5y/jqJKypcJ7ExuRO+\nc7hPH39Lq2QrqwUrVPVDby7StFiiyVtV+Bm30NRJbEzu9AtVOq7OYQi7bmCbIbipWZlZU8rk1rBQ\npePqrwFLNlm41tdR/cJ9sBgTQifcmNvg+vfvH00oKViy8e2z+FkAvaoKIl6U3hifhhHmgrGIUFXl\nb3pOEJZsfOsKTM54VOfOEOOHgzFpVGc+JI3Kykq6du0aUSznsmSTlc9nPgSoDvc3NyaAUmBoqDNU\nx/zGtWSTFX/9NpZsTPIGA+EWKLdkk1cGAaMyHlVRATHMYzMmjXCJolu3blwQ87gNSzZZu87XUcOH\nxxyGMWcJ94aLu1YDlmwCuBk/vzZrSpnkNK1MEJwlm7w0BB9LMDNgAJx3XvzRGAPjQpXu0KEDgwYN\niiaUNCzZBPIHGY8oKYFRmbt3jAmpG2FHDV9yySWUJrBhvSWbQGbgOovTGxfuA8cYH2oIu/LLuITe\nqJZsAikBfj/jURUVkEDt1LRZpYTdF6B///6xLSnRkiWbwG7F7UiTntVuTHwuBjqHOkNStRqwZBNC\nBTA741EjRtjOCyYu4RJFp06duOSSSyKKJTNLNqHcnvGI0lK4zN8SxsZk4QLCzvC+7LLLYlu7JpVY\nk42IdBeRhSKyUUQ2iEitiPzAe7xGRBY1bbPbotyFIvKSiKwXkbdF5Jtxxhncf8PbVy+tyy93V6eM\niU64TU5EhJoafytQRiXuf4F7gCWqOgIYDWwAlgIjVfVSYDOpN7w7Bfypql4MjAf+UEQujjnWgP6e\nTL/Grl1tkJ+J0gDCjhgeNmwY3buf8zkfq9iSjYh0AyYBDwCoaoOqHlTV55rtHb4Mt67xWVR1r6q+\n5d0/jEtSebos1aW4rbXS+9Sn4o/EtBVXhz7Dp3LwhoyzZjMYqAceFJGVIjJfRFp2nd8CPJPuJCIy\nCHd97404gozGd8g047Z/f7joomSiMcVsOGH7aoYNG8bAgQOjCScLcSabMtzubvNUdSxwFLiz6UUR\nuRvXXFrQ2glEpAtuq99vqWrKLSlFZK6I1IlIXX19fZTxZ2EwfsbdTJtmfTcmrHB7DYgIV18dvmYU\nRJxv/V3ALlVtqpEsxNtaUkRuBmYCN6mqpiosIu1wiWaBqv6qtW/i7fZQo6o1FRUVUcafpb8AuqQ9\n4vzzYcyYZKIxxWg00DvUGUaNGhXbVi2ZxJZsVHUfsFNEmrpGpwHrRWQ6cAdwraoeS1VWRATX17NB\nVX8UV4zR6g38r4xHTZlie0uZIEoJewWqtLSUq64Kd44w4q7U3w4sEJE1wBjge8BPgHJgqYisEpF7\nAUSkr4g87ZX7FPBVYKp3zCoRyXyNOef+DEjfFu7aFa64IploTDG5EjfpMriamhp69Ai3W2YYsX7G\nquoqzt1OMuXy7aq6B2/Qiqq+RkHuK94FmA98Ou1REyfCW2/B8eOJBGUKXgV+FttPp3379kyaNCma\ncAKy7srIXQ3MTXvEeefZpXDjl+BWhwy3BMSVV15J587h5lGFZckmFv9EpuZUba2bFW5MehOAcLtU\n9urVKyfjalqyZBOLclxzqnVlZXDddXYp3KQTvvkkIsyaNYt27TJvsBg3e6vHJnNzql8/uPLKZKIx\nhSaa5tP48eMZMGBAJBGFZckmVpmbU1OmWHPKpBJN82nq1KnRhBMBSzaxKgceIt1FP2tOmXNVUkzN\npyb2Fo/dZCD9uERrTpkzOgNfopiaT00s2STiduC2tEdYc8q4BPMlwu4BlW/NpyaWbBLzL7h2eGpl\nZXDDDZBHtV6TuJmkWHElK2VlZVx//fV51XxqYskmMU3zSluv2lZWwqxZiQVk8sp43IyecGbOnEn/\n/uESVlws2SSqN/AE0KnVI0aOhAmtV4BMURpCpikuftTW1jImj5cVsGSTuDG4K1StT/2aNs2WEW07\negI3EvZfsaqqik9/OnzCipMlm5yYDfyw1VdFXP+NdRgXuy7ATUDHUGfp1asXs2fPpiTPx0/kd3RF\n7U+A77b6aocOMGeOm7RpilFn4PdwNZvgOnbsyJw5c+jYMVzCSoIlm5z6c9wKf6n17Alf+IIN+Cs+\n5wH/Azg/1FlEhNmzZ3P++eHOkxR7G+fcd3BJJ7XBg+Hzn3dNK1MMmhJNuOU9AWbMmEFVVcrlofKS\nJZu88F3gb1t9dexYmFEA6xSaTDoDN+N2swznmmuuSXSf7ihYsskbfwl8v9VXx42Da65JLhoTtXLg\na0RRo5k2bRq1tbWhz5M0SzZ55c9w6+Ck3oOqthZytAuHCaUCt0Var9BnmjJlChMnTgx9nlywZJN3\nbgVewL1BzzVhgtVwCks18HUg/Fa3V199NVOmTAl9nlyxZJOXJgB1tDZ8vbYWPvc56zTOfxOBL5Jp\nt1Q/pk+fzoQCH1puySZvDQD+EzcA8FzjxsG110JpuJUITCzKcH+3qYTdJKSkpISZM2cyfvz4KALL\nKUs2ea0T8BjwN6R6044dC1/9KnRqfaqVSVxXXP/MJaHPdN555/GVr3yFmpqWuyEVJks2eU+Av8LN\nGD93nZNBg2DuXMjRjqrmLANw605Xhj5TRUUFt912G0OGDAl9rnwRa7IRke4islBENorIBhGpFZEf\neI/XiMgiEUnZcyYiPxWR90VkXZwxFo7rgXXAub3D3bvDrbfCRRclHpQBXLPpM7gxNOH3Zho+fDhf\n//rX6dkz3FSGfBN3zeYeYImqjsDtir4BWAqMVNVLgc3AXa2U/XdgeszxFZgLgSW4y+Nn13Lat3dT\nG6ZMsY7jZPUHvgHUEsUmrhMnTmTOnDl06NAh9LnyTWzJRkS6AZOABwBUtUFVD6rqc6p6yjtsGa0s\nTaaqvwEOxBVfYbuVVLUcEZdsbrzRJR8Tp6baTDTjZ9q1a8fs2bOZNm0aUqSfFnHWbAYD9cCDIrJS\nROaLSMs65i3AMzHGUMRar+VcfDF8/etu5T8Th2hrM3369OHWW29l5MiRoc+Vz+JMNmXAZcA8VR0L\nHAXubHpRRO4GTgELwnwTEZkrInUiUldfXx/mVAWqqZZzw1nP9u4Nt90GV11ll8ej0xFXm4ymNlNS\nUsLkyZOZO3cuF1wQfr5Uvmt9Q6PwdgG7VPUN7/FCvGQjIjfjVneepqoa5puo6n3AfQA1NTWhzlW4\nLsRdrXoT9yt+CXBLU0yeDCNGwK9/DXv35jDEglaGWyP4U4Rd6KpJnz59uO6666hsQ9XP2JKNqu4T\nkZ0iUq2qm4BpwHoRmQ7cAUxW1WNxff+26QrgReBZXL/7SsBdFr/tNnj1VfjNb+D06RyGWFAEVzmf\njJtIGV5JSQkTJ05k0qRJlLaxKmecNRtwGyYtEJH2wDbctNflQAdgqdcRtkxVvyEifYH5qjoDQEQe\nBqYA54vILuDbqvpAzPEWiWtwnZeP4hbnesdqOVm7BDcCOLrLz22xNtOchGzF5JWamhqtq6vLdRh5\n5iTuguCPgC0ANDZCXZ2r5Rw5ksvY8o0Aw3E1megSQufOnZk4cSLjxo0r+NqMiKxQ1UBDmuOu2Zic\na4e7cvJq1TCbAAAKPElEQVT7wPPAv1JS8iRXXHGaMWPg9dfht7+FEydyG2VudcY1l2oIuxtlc+3b\nt+fKK6+ktra2KMfNZMuSTZshuL2JPo3ru/832re/n8mT32PcONefs3w5nDqV/izFZQAwDriIsHtr\nN1daWkpNTQ2TJk2ic+fwI4qLhTWj2rSTuKtY9wKvcuhQIy+9BKtXQxG9LVroAIzCJZnwq+Y1JyKM\nGjWKq666ih49ekR67nwRphllycZ43geeAp6kvv45Xn/9GGvXwsmTuY4rCt1xi1hVAwOJenhZu3bt\nGDlyJOPHj6dPkc+ItWTjsWQTlePACxw//itWrVpMXd0HfPBBrmPKVj/OJJhoazBNevXqRU1NDWPG\njOG8NrLBl3UQm4h1BD5Hx46fY/x4Zfz4FWzb9muWL3+ZTZs20ti4P9cBttAOt2NBX+82BLfbZPRK\nSkoYPnw448aNY8iQIUU7jykOlmxMBgLUMGRIDUOGwEcffcSKFa+ydu2zHDiwCdgD7AWSSkAtE0sl\nbrO3eP/pe/TowahRo7j88svp1q1brN+rWFkzygRWX1/Ppk2b2LRpE7t2bUf1MHAYOOJ9bXn/BNDY\n7Ka4/pOmWyludcJy79al2f2mx52IO7GA6+zt168f1dXVVFdX07t3PE2xQmPNKJMTFRUVVFRUMGHC\nBI4ePcrmzZvZtGkT27Zto6GhIdfhZa1du3YMGTKE6upqhg8fTpcu8TTF2ipLNiYSnTt3ZuzYsYwd\nO5ZTp06xY8cOdu/ezd69e9mzZw+HDh3KdYjn6Nq1K3379qWyspJ+/foxcOBA2rVrl+uwipYlGxO5\nsrIyhg4dytChQz957ujRo58knlwkoKbE0pRc+vbtawPuEmbJxiSic+fOVFVVUVVV9clzDQ0NHDly\nhMOHD3P48OGz7jc9Pn78OI2NjWfdSkpKzrp16NCB8vJyysvL6dKlyyf3mz9ub0sX5pwlG5Mz7du3\np2fPnkW3sLdJzbZyMcYkwpKNMSYRlmyMMYmwZGOMSYQlG2NMIizZGGMSYcnGGJMISzbGmERYsjHG\nJMKSjTEmEZZsjDGJsGRjjElErMlGRLqLyEIR2SgiG0SkVkR+4D1eIyKLRKR7K2Wni8gmEdkqInfG\nGacxJn5x12zuAZao6ghgNLABWAqMVNVLgc3AXS0LiUgp8C/AZ4GLgTkicnHMsRpjYhRbshGRbsAk\n3EbTqGqDqh5U1edUtWnfxWVA/xTFrwC2quo2VW0AHgFmxRWrMSZ+cdZsBgP1wIMislJE5otIy6XR\nbgGeSVG2H7Cz2eNd3nPnEJG5IlInInX19fVRxG2MiUGci2eV4XZrv11V3xCRe4A7gb8EEJG7gVPA\ngjDfRFXvA+7zzlkvIjt8FDsfyIdt1/IhDovhjHyIIx9igNbjGBj0hHEmm13ALlV9w3u8EJdsEJGb\ngZnANE29l8xu4MJmj/t7z6WlqhV+AhORuqDbUUQpH+KwGPIrjnyIIa44YmtGqeo+YKeIVHtPTQPW\ni8h04A7gWlU91krx5cAwERksIu2BLwGL44rVGBO/uNcgvh1Y4CWMbcDXcImkA7DU27p0map+Q0T6\nAvNVdYaqnhKRPwKexe1c9lNVfTvmWI0xMYo12ajqKqBlVayqlWP3ADOaPX4aeDqm0O6L6bzZyoc4\nLIYz8iGOfIgBYoijqLbfNcbkL5uuYIxJRMEnGxG5UEReEpH1IvK2iHzTe77VaREicpc3DWKTiFzT\nynlHi8jrIrJWRJ4Uka5RxSAivbzjj4jIT9Kct6eILBWRLd7XHjmI4UbvfI0ikvHqRIxx+JrmEnMM\n3/HKrhKR57x+xsR/F83O/6cioiJyfg5+F38tIru938UqEZnR2rGfUNWCvgGVwGXe/XLcFIiLgc8A\nZd7z/wj8o3f/YmA1rpN6MPAOUJrivMuByd79W4DvRBhDZ2AC8A3gJ2nO+33gTu/+nU3lE47hIqAa\neBmoieHv4TeOlOUTjqFrs/t/DNybi9+Fd+yFuAsoO4Dzc/C7+Gvgf2fzv1rwNRtV3auqb3n3D+Pm\nX/XT1qdFzAIeUdUTqvo7YCtuekRLw4HfePeXAv89qhhU9aiqvgYcz/DjzQIe8u4/BFyXdAyqukFV\nN2WIM4k4/ExziTuGj5o97Ayk7fCM8X0B8GPcEJJcxpCVgk82zYnIIGAs8EaLl5pPi/A7FeJtzszH\nupGzBxmGjcGvPqq617u/D+iTgxgCizEO3+WjjkFEvisiO4GbgL/KolxkcYjILGC3qq7OslxkMXhu\n95phP03XxG9SNMlGRLoAvwS+1fwTSIJPi7gF+AMRWYGrfjbkIIZPqKu7Zrx0GGcM2YgrjmzKxxGD\nqt6tqhd6Zf/IZ8yRxSEinYA/J4tEF3UMnnnAEGAMsBf4YaYCcQ/qS4SItMP9Iheo6q+aPX8z506L\n8DUVQlU34tq1iMhw4HMRxuDXeyJSqap7RaQSeD8HMWQtrjiyKZ/A72IBbhzYtxOOYyiur3G1uEGx\n/YG3ROQKdaP2k4gBVX2v2XnuB57KVKbgazbifuMPABtU9UfNnm9tWsRi4Esi0kFEBgPDgDdTnLe3\n97UE+Avg3ghj8Gsx8Hve/d8DnshBDFmJK45syscYw7BmD2cBG5OOQ1XXqmpvVR2kqoNw3QCXpUk0\ncf0uKps9vB5Y5yf4gr7hes4VWAOs8m4zcB2/O5s9d2+zMnfjrkJtAj7b7Pn5eFdcgG/ieu43A/+A\nNwAywhi2AweAI7g3zMUpYugFvABsAZ4HeuYghuu9104A7wHPxvD38BNHq+UTjOGXuH+qNcCTuI7W\nxH8XLb7HdtJfjYrrd/EzYK133sVAZab/VRtBbIxJRME3o4wxhcGSjTEmEZZsjDGJsGRjjEmEJRtj\nTCIs2Zisich13mzjERmO+21E32+QiHy52eOb/cyKNvnFko0JYg7wmve1Vap6ZUTfbxDw5UwHmfxm\nycZkxZtjMwG4FbcQPSLyt83WNdktIg96zx/xvk4RkVdE5AkR2SYi/yAiN4nIm+LWCxrqHffvIjK7\n2fc64t39B2Cid/4/8Z7rKyJLxK318/1kfnoThiUbk61ZuC2VNwP7ReRyVf0rVR0DTMGNPE3VxBmN\nWyPlIuCrwHBVvQI3KvX2DN/zTuBVVR2jqj/2nhsDfBEYBXxRRHzNyje5Y8nGZGsObjtkvK9z4JM5\nOD8HfqSqK1KUW65ubZUTuKkiz3nPr8U1k7L1gqoeUtXjwHpCbJ5mklEUs75NMkSkJzAVGCUiittm\nR0Xkz3Art+1S1QdbKX6i2f3GZo8bOfM+PIX3AehNgG2fJpzm5zuNvZfzntVsTDZmAz9T1YHqZh1f\nCPwOt7bK1bilMsPYDlzu3b8WaOfdP4xbU8gUMEs2JhtzgEUtnvslrq+mH/Cm14n7twHPfz8wWURW\nA7XAUe/5NcBpEVndrIPYFBib9W2MSYTVbIwxibBkY4xJhCUbY0wiLNkYYxJhycYYkwhLNsaYRFiy\nMcYkwpKNMSYR/wWLKXvJ34cCPAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b3dca9e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sun_circle = plt.Circle((sunaa.az.deg, sunaa.alt.deg), \n",
" sunsize.to(u.deg).value,\n",
" fc='yellow')\n",
"moon_circle = plt.Circle((moonaa.az.deg, moonaa.alt.deg), \n",
" moonsize.to(u.deg).value,\n",
" fc='black', alpha=.5)\n",
"\n",
"ax = plt.subplot(aspect=1)\n",
"ax.add_patch(sun_circle)\n",
"ax.add_patch(moon_circle)\n",
"biggest = max(sep.deg, sunsize.to(u.deg).value, moonsize.to(u.deg).value)\n",
"plt.xlim(sunaa.az.deg-biggest*1.2, sunaa.az.deg+biggest*1.2)\n",
"plt.ylim(sunaa.alt.deg-biggest*1.2, sunaa.alt.deg+biggest*1.2)\n",
"\n",
"plt.xlabel('Azimuth')\n",
"plt.ylabel('Altitude');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's definitely in eclipse, but not total at that time! Looks like you can't believe everything you hear on the news... So when is it actually maximal eclipse? Lets plot up the separation of the moon from the sun around this time:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Since we need to do it again, it probably makes sense to make a function for\n",
"# getting the sun and moon AltAz objects. If we have to do it twice, odds\n",
"# are good we need to do it even more later...\n",
"\n",
"def sunmoon(time, location):\n",
" aaframe = AltAz(obstime=time, location=location)\n",
" sunaa = get_sun(time).transform_to(aaframe)\n",
" moonaa = get_moon(time).transform_to(aaframe)\n",
" \n",
" return sunaa.separation(moonaa), sunaa, moonaa"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zMgcAAI4rLbO6+5WFenPBd7rnkh7KPquL2yPViMreI/edfO+Pu1JScYXn90m6\n08mhACBQxhj97rJespImfLZGkog5AAAgSSors/rta4v02ryN+uWF3XXLOV3dHqnGVPYeuYWSFhpj\nZlprS2pxJgA4KcYY/f6yXrJWmvj5Ghkj/eFyYg4AgHBWVmb1uzcW6+WiDbr9/G66/fxubo9UowJZ\nCN7RGPMXSb0lxZQ/aa3t7NhUAHCSjDG69/JesrKa9Pm3MvJ9TMwBABB+rLW6762vlTdnnW45p4vu\nvCC0Ik4KLOQmSbpP0hOSzpU0VoHdJAUAapUxRn+4vLek/57M/f4yYg6BYY8cAIQGa63++PYSTStY\nq5vO6qy7L+4Rkn8WCCTk6llrPzTGGGvtWkn3G2OKJf3B4dkA4KSVx5y1vvfMGUm/I+YAAAgL1lo9\n9M+lmvzFt8o4s5N+c2nPkP0zQCAhd8QYEyFphTHm55I2Sop1diwAOHXld6+U5L+bpfR/PyXmUDn2\nyAGAt1lr9dd3l2n8Z2s05vSOIX9VTiAhd4ek+pJul/SAfJdXjnZyKACorvKYs9Yq9z9rjq8qCOX/\noKN6ynfIEXIA4D3WWj327+V68ZPVGpHaPizuYF1pyBljIiXdaK29S9J++d4fBwCeYIzR/Vf2kZWU\n8+lqGSP95hJiDgCAUPPUhyv07McrlZbcTn+6sm9Y/H99pSFnrS01xpxZW8MAQE0zxuiPV/aRtdKL\nn6yWkdGvLwnNNz0DABCOnvlwhZ78YIVuGNJWD13dTxER4fH/8YFcWjnfGPOWpH9IOlD+pLX2Ncem\nAoAaVB5zZdbq75+skjHSPSF6BysAAMLJC/mr9Nj7y3XtoDb663X9wybipMBCLkbSDknnVXjOSiLk\nAHhGRITRA1f1lZXvP/oRRrrrImIOAACvyv10tR5+d5muGthaj9wwQJFhFHFSACFnreV9cQBCQkSE\n0YNX9ZW1Vs99vEoRxuiXF3Yn5iCJPXIA4CUTP1ujh/61VJf1b6XHwjDipABCzhgTIylDUh/5Tuck\nSdbacQ7OBQCOiIgweujqfiork575aKWMP+YAAIA3TP3yW/1p9hJd0qelnrxxoOpERrg9kisC+V89\nTVJLSRdL+kRSW0n7nBwKAJwUEWH0l2v7aWhiWz394Qo9+cFyt0dCEHj00UeP75IDAASnGYVr9Yc3\nv9aFvVvo6bRBigrTiJMCC7mu1tp7JR2w1k6RdJmkFGfHAgBnRUQY/fXa/rp+SFs9+cEKPfXBCrdH\ngstmz56DnNCEAAAgAElEQVR9fJccACD4vDR3nX73+mKd17O5nk0fpOg64RtxUmA3Oynx/7rbGNNX\n0mZJzZ0bCQBqR0SE0cPX9Ze10hMfLFeEkW47v5vbYwEAgB94pXiDfvPaVzq7e4KeHz5YdetEuj2S\n6wIJuRxjTGNJ90p6S1Ks//cA4HmREUZ/u76/rLV67P3liogwuvXcrm6PBQAA/F6fv0F3v7JQZ3Zt\nphdHDlFMFBEnBXbXyvH+334iqbOz4wBA7YuMMHrkhgGykh557xtJIuYAAAgCby38Tr96eaFSOzVV\nzshEIq6CQO5a2VTS/ZLOkG9/3H8kPWCt3eHsaABQeyIjjB69YYDKrNUj732jCGN08zld3B4LAICw\n9c9Fm3TnSwuU2LGJJoxJVL1oIq6iQC6tnCXpU0nX+T8eLuklSRc4NRQAuCEywuixGwbIWunhd5cp\nwkg3nU3MhQv2yAFA8Hh38WbdMWu+BrVrpEljklQ/OpBsCS+B/BNpZa19oMLHDxpjbnRqIABwU53I\nCD0+1HeZ5V/eWaYIY5R1FleVAwBQW95fskU/nzlP/drGa9LYJDWoS8T9mED+qfzbGDNM0sv+j6+X\n9J5zIwGAu+pERuiJob7LLB/611IZI2X+hJgLdeU75O666y6XJwGA8PXxsq26ZUax+rSO05RxyWoY\nE+X2SEHLWGsrf4Ex+yQ1kFQm33vkIiUd8H/aWmvjamqYxMREW1RUVFPfDgCq5Vhpme6YtUD//GqT\n7r28tzLO7OT2SHDQOeecI4lLLAHALZ8s36asqUXq3iJWMzJTFV8vPCPOGFNsrU2s6nWB3LWyYc2M\nBADeUicyQk8OG6gya/XA7CUyksYRcwAA1LjPV25X9tQidU2I1fSMlLCNuJNR5Tp04zPCGHOv/+N2\nxphk50cDAPdFRUbo6bRBuqRPS/1p9hJN/nyN2yMBABBSvly1QxlT5qpTswaanpmiRvWj3R7JE6oM\nOUnPSzpNUrr/4/2SnnNsIgAIMlGREXomfZAu7tNC97+9RFO//NbtkQAACAlz1uzUuMlz1a5xfU3P\nTFGTBkRcoAIJuRRr7a2SDkuStXaXJP4JAwgrUZEReiZtsC7s3UJ/ePNrTfvyW7dHAgDA04rX7tSY\nSXPUulGMZmalqllsXbdH8pRA7lpZYoyJlO9GJzLGJMh34xMACCvRdSL0XPpg3TKjWPe++bWMMRqR\n2sHtsVBDuMkJANSe+et2afTEuWoZF6O8rFQlNCTiTlYgJ3JPS3pdUnNjzEOSPpP0Z0enAoAgFV0n\nQs8NH6zzezbX799YrBmFa90eCQAAT1m4frdGTZijprHRmpmVquZxMW6P5EmB3LVyhjGmWNL5koyk\nq621Sx2fDACCVN06kXp+xGDdPH2efvf6YkUYo7Tk9m6PhWpijxwAOG/xxj0aOaFQjRpEKS8rVS3j\nibhTFchdK7tIWmOtfU7SYkkXGmMaOT4ZAASxunUi9cKIwTq3R4J++9pXemnuOrdHQjXNnj1bs2fP\ndnsMAAhZS77bqxETCtUwxhdxrRvVc3skTwvk0spXJZUaY7pKelFSO0kzHZ0KADzAF3NDdHb3BP3m\nta/08tz1bo8EAEBQWrZ5r4aPL1C9qEjlZaWqbeP6bo/keYGEXJm19pikayU9a629W1IrZ8cCAG+I\niYrUiyOH6CfdEvTr1xbp5SJiDgCAilZs2afhuYWKrhOhvKxUtW9KxNWEQEKuxBiTJmmUpPJrTli1\nDgB+MVGRyhk5RGd2baZfv7pIrxRvcHskAACCwsqt+5WWW6iICKO8rFR1bNbA7ZFCRiAhN1a+heAP\nWWvXGGM6SZrm7FgA4C0xUZHKHZWoM7o0092vLNSrxBwAIMyt2X5A6bkFkqzyslLVOSHW7ZFCirHW\nuj3DcYmJibaoqMjtMQDglB06WqrMqXP1xaodenzoAF0zqK3bIwEAUOvW7jigG18s0NHSMs3KTlX3\nFg3dHskzjDHF1trEql4XyIkcACBA9aIjNX5Ukk7r3FS/enmh3pi/0e2RAACoVet3HlRaToEOHyvV\njMwUIs4hhBwA1LB60ZGaMDpJKZ2a6pcvL9CbC4g5L3j00UeP75IDAJyaDbsOKi23QAeOlmp6Rop6\ntYpze6SQRcgBgAPqRUdqwphEJXVsojtfWqC3Fn7n9kioAnvkAKB6Nu05pPTcQu05VKLpGSnq2ybe\n7ZFCWp2qXmCM6S7pbkkdKr7eWnueg3MBgOfVj66jSWOTNGbSXP1i1nwZSVcMaO32WAAA1Lgtew8r\nLadAuw4c1bTMFPVrS8Q5rcqQk/QPSX+XlCup1NlxACC01I+uo0ljkjR20lz94qUFijBGl/VnFScA\nIHRs3eeLuG37jmhqRooGtmvk9khhIZCQO2atfcHxSQAgRDWoW34yN0e3z5qvCCNd2o+YAwB43/b9\nR5SeW6jNew9ryrhkDenQ2O2RwkYg75F72xhzizGmlTGmSfnD8ckAIIT4Yi5ZA9s10m158/Xu4k1u\njwQAQLXs2H9Ew3MLtWHXQU0ck6SkjiRCbapyj5wxZs2PPG2ttZ1rehj2yAEIdfsOl2j0xDlatGGP\nnk0frEv6tnR7JAAATtquA0eVllugNdsPaNKYJJ3etZnbI4WMGtsjZ63t9COPGo84AAgHDWOiNGVc\nsvq1jdfPZ87Tv7/e7PZIAACclD0HSzRiQqFWbz+g8aMTiTiXVBlyxpgoY8ztxphX/I+fG2OiamM4\nAAhF5THXt028bp05T+8v2eL2SBB75AAgEHsOlWjkxEKt2LJfOSOH6CfdEtweKWwF8h65FyQNkfS8\n/zHE/xwA4BTFxURpakayereO1y0zivUBMec69sgBQOXK3x6wdNNevTBisM7p0dztkcJaICGXZK0d\nba39yP8YKynJ6cEAINTFxURp6rhk9W4Vp5tnFOvDpcQcACA47T9yTGMmzdXijXv0XPpgnd+rhdsj\nhb1AQq7UGNOl/ANjTGexTw4AakR8vShNzUhRr1Zxunn6PH28bKvbIwEA8D0HjhzT2ElztGD9bj2T\nNkgX9eFGXcEgkJC7W9LHxph8Y8wnkj6S9CtnxwKA8BFfL0rTxqWoe8tY3TStWB9/Q8wBAILDoaOl\nypgyV8Vrd+mpYQPZgxpEArlr5YeSukm6XdJtknpYaz92ejAACCfx9aM0PSNF3Vr4Yi6fmAMAuOxw\nSakyp87VnDU79cSNA3V5/9Zuj4QKAtkjFyXpZkln+Z/Kl/Sitbakiq9rJ2mqpBaSrKQca+1TlX0N\ne+QAhLvdB48qPbdQK7ft1/hRiTqrO3cDAwDUvsMlpcqaWqTPVm7XYzcM0LWD27o9UtiosT1yOvW7\nVh6T9CtrbW9JqZJuNcb0DuDrACBsNaofrRmZKeqSEKusqUX6z4ptbo8EAAgzR46V6mfTi/WfFdv1\n8HX9ibgg5dhdK621m6y18/y/3ydpqaQ21RsXAEJf4wa+mOvUrIEypxTpsxXb3R4pLLBHDgCko8fK\ndOuMecr/Zpv+cm0/DU1s5/ZIOIFauWulMaajpEGSCk/m6wAgXDVpEK2ZWanq1KyBMqbM1ecriTmn\nsUcOQLgrKS3Tz2fO0wdLt+qBq/sqLbm92yOhEo7ftdIYEyvpVUm/sNbu/ZHPZxtjiowxRdu2cQkR\nAJRr4j+Z69jUF3NfrCLmAADOOFZapjtmzde/l2zR/Vf01sjUDm6PhCo4etdK/41SXpU0w1r72gm+\nf461NtFam5iQwJv6AaCiprF1NSMrRe2b1Ne4yXP15aodbo8EAAgxx0rLdOfLC/Wvrzbr95f10pgz\nOrk9EgJwwpAzxlxb/pB0maSu/sdl/ucqZYwxkiZIWmqtfbymBgaAcNMstq5mZqWqXWNfzBWsJuYA\nADWjtMzqrn8s1NsLv9NvL+2pzJ90dnskBKiyE7lXJP1e0uX+xxUVHpcH8L3PkDRS0nnGmAX+x0+r\nOS8AhKXymGvTuJ7GTpqrQmIOAFBNZWVW97yySG8s+E53X9xDN53dpeovQtA44R45Y8zVkobJdwr3\npqQ8a+1KJ4dhjxwAVG7rvsNKyynQpj2HNWVcspI6NnF7JACAB5WVWf32ta/0UtF63XlBd91xQTe3\nR4JftffIWWvfsNYOk3S2pFWSHjPGfGaMObsG5wQAnITmDWOUl5WqlvExGjNxjoq+3en2SAAAj7HW\n6vdvLtZLRet1+3ldiTiPCuSulYcl7ZG0V1KspBhHJwIAVKp5XIxmZaWqRVyMRk+co+K1xFxNYI8c\ngHBgrdV9b32tmYXrdMs5XXTnhd3dHgmnqLKbnZxnjMmRVCzpXElPWWsHWmvfq7XpAAA/qnlcjPKy\nU9U8LkajJ85V8dpdbo/keeyRAxDqrLX649tLNPXLtco+q7PuvriHfPcnhBdVdiL3gaRkSZ9Jqitp\nlDHm6fJHrUwHADihFnG+yyybxUZr9MQ5mreOmAMA/DhrrR7851JN/uJbjTujk357aU8izuMqC7mx\nkp6QNFdSkXwncxUfAACXtYz3ncw1jY3W6AlzNJ+YAwD8gLVWf31nmSZ8tkZjTu+oey/vRcSFgDon\n+oS1dsoPnzPGtLTWbnZ2JADAyWgVX095WakallOgURPmaFpmiga2a+T2WACAIGCt1SPvfaMXP12t\nEantdd8VvYm4EBHIzU4q+pcjUwAAqqV1o3qalZ2qxg2iNXJCoRZt2O32SACAIPDE+8v1fP4qpSW3\n15+u7EvEhZCTDTn+zQNAkGrdqJ7yslPVqH6URowv1Fcb9rg9kqfk5+crPz/f7TEAoMY89cEKPf3R\nSt2Y2E4PXd1XERH8UT6UnGzI5ToyBQCgRrRp5LvMMq5elEZMKNTijcQcAISjZz9aoSc+WK7rh7TV\nX67tR8SFoIBCzhgTaYxpLWm2Maa9Maa9w3MBAE5R28b1lZeVqti6dTR8PDEXKPbIAQgVL+Sv0qP/\nXq5rBrXRw9f1J+JCVJUhZ4y5TdIWSe9Lmi3pn/5fAQBBql2T+pqV7Yu5ERMK9fV3xFxV2CMHIBTk\nfrpaD7+7TFcOaK1HbxigSCIuZAVyIneHpB7W2j7W2v7W2n7W2v5ODwYAqJ52TXwnc/WjIjV8fKGW\nfLfX7ZEAAA6a8NkaPfSvpbqsfys9PpSIC3WBhNx6SfxVLgB4UPum9ZWXnap6UZEaPr5ASzcRcwAQ\niqZ88a0emL1El/ZtqSdvHKg6kSd7Kwx4TSD/hldLyjfG/NYY88vyh9ODAQBqRoemDTQrO1V16/hO\n5pZtJuYAIJRMK1ir+976Whf1bqGn0wYpiogLC4H8W14n3/vjoiU1rPAAAHhEecxFRRql5xbqm837\n3B4JAFADZhau071vLNYFvZrr2fTBRFwYMdZat2c4LjEx0RYVFbk9BgCErDXbD+jGF79UaZlVXnaq\nurfg7+UAwKtenrte97y6SOf2SNDfRw5R3TqRbo+EGmCMKbbWJlb1ukDuWvmxMeajHz5qZkwAQG3q\n1Mx3MhcZYZSeW6AVWziZAwAveqV4g3792iKd1T1BL4wg4sJRIGevd0m62/+4V9ICSRybAYBHdU6I\nVV52qowxSsst1MqtxJzEHjkA3vH6/A26+5WFOqNLM+WMHKKYKCIuHFUZctba4gqPz621v5R0jvOj\nAQCc0iUhVnlZqZKkYTmFWrl1v8sTuY89cgC84M0FG/WrlxcqtVNT5Y5KJOLCWCCXVjap8GhmjLlY\nUnwtzAYAcFDX5rGalZ0iySott0CrthFzABDMZi/6Tne+tEBJHZtowphE1Ysm4sJZIJdWFst3KWWx\npC8l/UpShpNDAQBqR9fmDZWXlSprrdJyCrSamAOAoPTOV5t0x6wFGtKhsSaOSVL96DpujwSXBXJp\nZSdrbWf/r92stRdZaz+rjeEAAM7r1qKhZmalqrTMdzK3ZvsBt0cCAFTw3tebdVvefA1oG69JY5PV\noC4Rh0pCzhiTZIxpWeHjUcaYN40xTxtjmtTOeACA2tDdH3Mlpb6TuW+JOQAICh8s2aKfz5ynvm3i\nNWVcsmKJOPhVdiL3oqSjkmSMOUvSXyVNlbRHUo7zowEAalOPlg01MytFR0vLlJZboLU7wivm8vPz\nlZ+f7/YYAHDcx8u26pYZ89S7VZymZiSrYUyU2yMhiFQWcpHW2p3+398oKcda+6q19l5JXZ0fDQBQ\n23q2jNOMzBQdLinVsJzwizkACBafLN+mm6YXq3vLWE0dl6I4Ig4/UGnIGWPKz27Pl1RxCThnugAQ\nonq1itOMzFQdKilVWk6B1u046PZItYI9cgCCxWcrtit7apG6JsRqekaK4usTcfhflYVcnqRPjDFv\nSjok6T+SZIzpKt/llQCAENW7te9k7sDRUqXlFmj9ztCPOfbIAQgGX6zcrowpc9WpWQNNz0xRo/rR\nbo+EIHXCkLPWPiTfqoHJks601toKX3Ob86MBANzUp3W8ZmSmaP+RYxqWEx4xBwBuKli9QxlTitSh\naX3NyExRkwZEHE6s0vUD1toCa+3r1toDFZ5bbq2d5/xoAAC39W3ji7l9h0uUllugDbuIOQBwwtxv\nd2rc5Llq07ieZmSmqmlsXbdHQpALZCE4ACCM+WIuVXsP+WJu4+5Dbo8EACGleO1OjZk4Ry3jYzQz\nK0UJDYk4VI2QAwBUqV/beE3LSNHugyVKyynQd8QcANSI+et2afTEuWoeF6O8rFQ1bxjj9kjwCEIO\nABCQAe0aaVpGinYdOKphOQXatCe0Yo49cgBq28L1uzVqwhw1jY1WXlaqWsQRcQgcIQcACNjAdo00\nNSP5eMxt3nPY7ZEAwJMWb9yjkRMK1ahBlPKyUtUynojDySHkAAAnZVD7xpqSkawd+48qLTd0Yo49\ncgBqy9ff7dHw8YVqGOOLuNaN6rk9EjyIkAMAnLTB7Rtryrhkbd17WGm5Bdqy1/sxxx45ALVh6aa9\nGjG+UA2iIzUrO1VtG9d3eyR4FCEHADglQzo01tQMf8zlFGhrCMQcADjpm837NHx8oerWiVRedqra\nNSHicOoIOQDAKRvSoYmmjEvW5r2HNSy3QFv3EXMA8GNWbt2n4eMLVCfCKC87VR2aNnB7JHgcIQcA\nqJbEjk00eWyyNu/xncxt23fE7ZEAIKis2rZfabmFknwR16kZEYfqI+QAANWW3KmJJo1J0qY9vvfM\nEXMA4LNm+wGl5RTIWqtZ2SnqkhDr9kgIEYQcAKBGpHRuqoljkrRx1yGl5xZo+35vxRx75ADUtLU7\nfBF3rMxqZlaqujZv6PZICCGEHACgxqT6Y279roNKzy3QDo/FHADUlHU7Diotp0BHjpVqRmaKurcg\n4lCzCDkAQI06rUtTTRydpHU7Dyo9t9AzMcceOQA1Zf3Og0rLLdCBo6WanpmiXq3i3B4JIYiQAwDU\nuNO7NtOE0Un6dscBDR9fqJ0Hjro9UpXYIwegJmzcfUjp4wu073CJZmSmqE/reLdHQogi5AAAjjjD\nH3Nrth9Qem6Bdnkg5gCgOjbt8b1HePfBEk3PTFHfNkQcnEPIAQAcc2a3Zho/OlGrt/tO5og5AKFq\ny97D/svJj2rquGT1b9vI7ZEQ4gg5AICjftItQbmjErVy236NmFCo3QeJOQChZete3x7NrXsPa8q4\nJA1q39jtkRAGCDkAgOPO7p6gnJFDtGLrfg0fT8wBCB3b9h1R+vhCbd57WJPHJWtIhyZuj4QwQcgB\nAGrFOT2a68WRQ7Riy36NnDBHew6WuD3S97BHDsDJ2rH/iIaPL9DGXYc0aUySkjoScag9hBwAoNac\n64+5bzbv08iJhdpzKLhiDgACtfPAUQ0fX6h1Ow9qwphEpXRu6vZICDOEHACgVp3bs7leGDFYSzft\n1agJwRNz7JEDEKjdB30Rt2b7AY0flaTTuzRzeySEIUIOAFDrzu/VQi8MH6Ilm/Zq1MQ52nvY/Zhj\njxyAQOw5WKIREwq1att+5YxK1JndiDi4g5ADALjigt4t9PzwIVry3R6NmjBH+4Ig5gCgMnsOlWjk\nxEIt37xfL44YorO7J7g9EsIYIQcAcM2FvVvo2fTBWrxxj0ZPJOYABK99h0s0euIcLd20V88PH6xz\nezZ3eySEOUIOAOCqi/u01LPpg7Vowx6NmTRX+48cc3skAPie/UeOafTEOVq8cY+eTR+sC3q3cHsk\ngJADALjvkr4t9Wz6IC1Yv1tjJs4h5gAEjQNHjmnspDlauGGPnkkbpIv7tHR7JEASIQcACBKX9G2l\nZ9IGaf763Ro7aY4O1HLMsUcOwA8dPHpMYyfP1bx1u/X0sEG6tF8rt0cCjiPkAABB46f9WunpYYM0\nb91ujZ00t9ZjDgDKHTpaqozJRSr6dqceHzpAl/Un4hBcCDkAQFC5rH8rPXnjQBWv26Wxk+fq4NHa\niTn2yAEod7ikVFlTi1SwZoceGzpAVw1s4/ZIwP8g5AAAQeeKAa31xI0DVfTtTo2rpZhjjxwAyRdx\n2dOK9fmq7Xrk+gG6ZlBbt0cCfhQhBwAISlf6Y27Omp3KmFykQ0dL3R4JQIg7cqxUN08v1qfLt+nh\na/vr+iFEHIIXIQcACFpXDWyjx4cOVOGaHcqYMpeYA+CYo8fKdMv0efr4m2368zX9NDSpndsjAZUi\n5AAAQe3qQW302NAB+nL1DmVOnavDJcQcgJpVUlqmW2fO04fLtuqBq/sqPaW92yMBVSLkAABB75pB\nbfXo9QP0xaodyppaRMwBqDElpWW6PW++3l+yRX+8so9GpnZweyQgIHXcHgAAgEBcN6StrKS7X1mo\nrKlFyh2VqJioyBr7/uyQA8LPsdIy/WLWAr2zeLPuvby3Rp/e0e2RgIBxIgcA8Izrh7TVw9f112cr\ntyt7WjEncwBO2bHSMt358kL986tN+t1PeynjzE5ujwScFEIOAOApQxPb6eFr++vT5dt0Uw3GHHvk\ngPBRWmZ19yuL9PbC7/TrS3oq66zObo8EnDRCDgDgOUOT2umv1/bTJ8u36ebpxTpyrPoxxx45IDyU\nlVnd88oivT5/o+66qLtuPqeL2yMBp4SQAwB40rDk9vrzNf308TfbdPP0eTUScwBCW1mZ1W9eW6RX\n523QnRd018/P6+b2SMApI+QAAJ6VntJeD13TVx8t26pbiDkAlSgrs/rdG1/p5aINuv28rrrjAiIO\n3kbIAQA8bXhKBz14dV99uGyrbp0xX0ePlbk9EoAgY63VH95arLw563XLOV1054Xd3R4JqDZCDgDg\neSNSO+iBq/rog6VbdOvMecQcgOOstfrj20s0vWCdbjqrs+6+uIeMMW6PBVQbe+QAACFh5GkdVWal\n+976WrflzdOz6YMVFRn431eyRw4IPdZaPTB7qSZ/8a0yz+yk31zak4hDyOBEDgAQMkaf3lH3X9Fb\n7329RbfNnK+SUk7mgHBlrdWf/7VUEz9fozGnd9TvLutFxCGkEHIAgJAy5oxO+sPlvfXu15t1e17g\nMcceOSB0WGv18LvfKPc/azQytYPuu6I3EYeQQ8gBAELOuDM76feX9dI7izfrF7MW6FgAMcceOSA0\nWGv12L+X6++frFJ6Snv98co+RBxCEu+RAwCEpMyfdJYkPfjPpZKRnrpxoOqcxHvmAHjTkx+s0LMf\nr9SwpHZ68Kq+ioj4//buMzzKMv/b+PeaFEISEkoSOlJC7xBIXCuInV3r+oCI1EQFpQgo1m3uuruu\n7rrqugIBBJKAiMK6Yl8Ry6YCgdCb9K5SBZLM9byY4B9dIEBmcs9kzs8rJjOZ+5fjuLiPnLln5iLi\nUDURcgCAKmv4Fc3ltlZ/WLhGLmP017s6E3NAFfb3T9brxU/W687ujfSH2zoScajSCDkAQJWWdmUL\nWSs9+94aGUkvEHNAlfTKpxv0wkfrdHvXhvrTHZ2IOFR5hBwAoMq776oWclvpT++vkTHSC3d1UQi/\n5AFVxmufbdRzH6zVLV0a6Llfdub/N4ICIQcACAoPXN1Cbmv13Adr5TJGf/nJL3vsIwcEpimfb9Kz\n761R30719TwRhyBCyAEAgsbIXomSpOc+WCsj8Zd7IMBN+3Kznnl3tW7qWE9/4wONEGQIOQBAUBnZ\nK1Fut9XzH62TMUZ/vrOTQlzmhz3kxo8f7/CEAM7HjP9+rd+8s0rXt6+rF/t1JeIQdAg5AEDQeeia\nlrKSXvhonYyR/nxHpx/2kCPkAP+XkbNFTy9YqT5t6+ql/t0URsQhCBFyAICgNOqalnJbq799vF68\nuBIIHLNzt+qJt4vUu02CXhnQVeGhRByCEyEHAAhaY/q0krXSi5+sl3vfUTWPj3J6JADn8Eb+Nj32\n9gpd1Spe/xjQTdVCQ5weCXAMIQcACGpj+rSUtVaPZx6XJLndlv2nAD/01pLtenTecl2eGKfXBnZX\nRBgRh+DGtWgAQFAzxmjsta3UsGZ17T18XE/MXyG32zo9FoDTLFi2Q+PnFurS5nU0aWASEQeIK3IA\nAMgYow2FOfrLh2v1yqcbZYzRM7d04Moc4AfeKdypsXOWqWez2kof1EPVw4k4QCLkAACQ5Im58de1\nlttKry7aKCPpmVs7yBhiDnDKwhW7NGbOMiVdQsQBP0XIAQAg/bCP3CPjxsla6Z+fbZQx0u9uIeYA\nJ7xftFujspaqS+Oamjqkh6Kq8WsrcDr+RwAAIP1oH7lHb2gta61eW7xJLmP0m1+0J+aASvTRqj16\nMHOJOjaK1fQhPRRNxAH/g/8VAAD8hDFGE29sIytp0uJNMpJ+TcwBleKT1Xs0IqNA7RvE6PWhPVUj\nIszpkQC/RMgBAHAGxhg9dmMbud1WU77YLGOMfvXzdsQc4EOL1u7VA7OWqE29GM0YlqwYIg44K0IO\nAICzMMboiZvbykpK/2KzjJGe7kvMAb7w2bp9SptZoMSEaM0c1lOx1Yk44FwIOQAAzsEYoydvbiu3\ntZr25dcyMnqqb1tiDvCiL9bvV9qMfLWIj1bG8GTVjAx3eiTA7xFyAABIWrRo0VnvM8bo6b7tZK00\n9U7KUa4AABpfSURBVMvNchnpiZuJOcAbvtywX8Nez1OzuChlDE9WrSgiDjgfPgs5Y8xUSX0l7bXW\ndvDVcQAAqAyn3iMnqew9c9LjNxFzQEV8tdETcU3reCKuNhEHnDdfXpGbLullSTN8eAwAALzi1D5y\n48ePP+tjTsWc21pN/nyzXGWfbknMARcue9MBDZuer8a1IpWRmqw60dWcHgkIKD4LOWvtYmNMU189\nPwAA3nT6PnLnYsr2lbNWem3xJslIE28g5oALkbv5Gw2dnqcGNSOUmZqiOCIOuGCOv0fOGJMmKU2S\nmjRp4vA0AACUzxij397SXlZWr33m2TT8ketbE3PAecj/+hsNmZarejERykpNUXwNIg64GI6HnLV2\nkqRJkpSUlGQdHgcAgPNijNFvf9FBbiu9umijjKQJxBxwTku2fqvB0/KUEBOhrLQUJcREOD0SELAc\nDzkAAAKVy2X0zC0dZK30j0Ub5TJG465rRcwBZ7B067calJ6ruOhwZaWmqC4RB1QIIQcAQAW4XEa/\nv7WDrLV6+dMNMkZ6+FpiDjhd4bbvdG96rmpFhSsrLUX1Yok4oKJ8uf1AlqSrJcUZY7ZL+pW1Nt1X\nxwMAoCLOtY9ceVwuoz/c1lHWSi/9Z4OMMXr42lbeGw4IYCu2H9TA9BzVjApTVlqK6sdWd3okoErw\n5adW9vfVcwMA4G9cLqNnb+8oK6u/f7JeLiON6UPMIbgV7Tioe9JzFFM9TFmpKWpYk4gDvIWXVgIA\noPPbR648LpfRH2/vJLeV/vbxehkZje7T0lsjAgFl1c5Duic9R9HVQpWVmqJGtSKdHgmoUgg5AAB0\n/vvIlcflMvrTHZ1krfTXj9fJGGnUNcQcgsvqXYc0YEq2IsNClJWaosa1iTjA2wg5AAC8LMRl9Oc7\nO8nK6oWP1sllpAd7E3MIDmt3H9aAKTmqFhqirLQUNalDxAG+QMgBAOADIS6j5+7sLFnpLx+ukzFG\nI3slOj0W4FPr9hzW3ZOzFRZilJWWokvqRDk9ElBlEXIAAPhIiMvouV92lttaPffBWhkjjbiamEPV\ntGGvJ+JCXEaZqSlqFkfEAb5EyAEA4EMhLqPn7+oiK+nP76+VkdEDV7dweizAqzbuO6L+k3MkeSKu\nRXy00yMBVR4hBwCAKraPXHlCXEbP/7KzrJX+9P4auYx031XEHKqGTfuOqP+kbFlrNTstRYkJRBxQ\nGQg5AAAqQWiISy/c1VlW0rPvrZExUtqVxBwC29f7j6r/5GyVuq2y0lKUmFDD6ZGAoEHIAQAg7+wj\nV57QEJf+epfnPXN/WLhGLmM0/IrmPjse4EtbDngirrjUKjM1Wa3qEnFAZSLkAACQ9/aRK09oiEsv\n/r8ukpWeeXe1JBFzCDhbDxxT/0nZOl5cqozhKWpTL8bpkYCgQ8gBAFDJQkNc+lu/LrKyeubd1TLG\naNjlzZweCzgv2745pv6Ts3WsuFQZw5PVrgERBziBkAMAwAFhIS692K+rrF2q3/17lVxGGnIZMQf/\ntv1bT8QdPl6szNQUtW8Q6/RIQNByOT0AAADBKizEpb/376rr29fVb95ZpelfbnZ6JOCsdn73vfpP\nztbB74uVMTxFHRoScYCTCDkAABwUFuLSS/276bp2dfXrd1Zpxn+/dnok4H/sOuiJuO+OFmvWsGR1\nbETEAU7jpZUAAMi3+8iVJzzUpZfv7qaRmUv09IKVMpIGXtrUsXmA0+0+eFz9J2XrwJGTmjmspzo3\nrun0SADEFTkAAPxCeKhLr9zdTX3a1tVTC1ZqZvYWp0cCtPfQcd09OVv7Dp/Q60N7qmuTWk6PBKAM\nIQcAgDz7yJ3aS84p4aEu/WNAN/Vpm6Cn5hcpI4eYg3P2Hj6ufpOztfvQcb0+tKe6X0LEAf6EkAMA\nQJ595E7tJeek8FCXXhnQTb3bJOiJt4uUmbPV6ZEQhPYdPqG7J+do98Hjmj6kp5Ka1nZ6JAA/QcgB\nAOBnqoWG6NV7uqlX63g9/vYKzc4l5lB59h85oQFTsrXj2+81dXAP9WxGxAH+iJADAMAPeWKuu65u\nHa+Jb63QnDxiDr534MgJ3TMlR1u/Oaapg3sopXkdp0cCcBaEHAAAfioiLET/vKe7rmrlibk38rY5\nPRKqsG+OntSAKTnavP+o0gf10KUtiDjAnxFyAAD4sYiwEL02sLuuaBmvR99arrn5xBy877tjJ3XP\nlBxt2n9UUwYl6bLEOKdHAlAO9pEDAEDO7iNXnoiwEE0a2F2pM/L1yLzlMsbozu6NnB4LVcTBY8Ua\nMCVHG/Yd0eR7k3RFy3inRwJwHrgiBwBAAIgIC9Hke5N0eWKcJrxZqHkF250eCVXAwe+LdU96jtbv\nOaLXBnpexgsgMBByAADIP/aRK8+pmLusRZzGv1mot5cSc7h4h44X6970HK3ZfUj/HNhNvVonOD0S\ngAtAyAEAIP/ZR648p2Lu0uZ1NO6NQs1fusPpkRCADh8v1r3puVq165BeHdBdvdvUdXokABeIkAMA\nIMBUDw9R+qAeSm5WRw+/sUwLlhFzOH9HTpRo0NRcFe04qFfu7qY+7Yg4IBARcgAABKDq4SFKH5yk\nns1qa+wcYg7n58iJEg2emqvC7Qf18t1ddV37ek6PBOAiEXIAAASoyPBQTR3cQz2aemLuncKdTo8E\nP3b0RImGTsvT0m3f6aX+XXVDh/pOjwSgAgg5AAACWGR4qKYN6aGkprU1Zs4y/Xs5MYf/dexkiYZO\nz1PB1m/1Yr8uuqkjEQcEOvaRAwBA/r2PXHkiw0M1bXAPDZmWp9Gzl8nI6OZO/KIOj+9PlmrY9Hzl\nff2N/tavq/p2auD0SAC8gCtyAABUAVHVPFfmujWpqVGzl2rhil1OjwQ/cLy4VMNn5Cln8wG9cFcX\n/aIzEQdUFYQcAAAKjH3kyuOJuZ7q2rimHspaqveIuaB2vLhUqTPy9dXGA/rLLzvr1q4NnR4JgBcR\ncgAAKHD2kStPdLVQTR/aU13KYu79ot1OjwQHHC8uVdrMAn2xYb+eu7Ozbu/WyOmRAHgZIQcAQBUT\nXS1U04f0UKdGsXowc4k+WEnMBZMTJaV6YFaBFq/bpz/d3kl3difigKqIkAMAoAqqERGm14f2VMdG\nsRqZsUQfEnNB4URJqUbMWqJP1+7TH2/vqLt6NHZ6JAA+QsgBAFBFnYq5Dg1jNTJziT5atcfpkeBD\nJ0vcGpmxVJ+s2avf39ZB/Xo2cXokAD5EyAEAUIXFRIRpxrCeatcgViMyCvQxMVclFZe69WDmEn28\neo9+d2sHDUi+xOmRAPgYIQcAgDz7yAXyXnLnEhMRphlDe6pd/Rg9kFGgT1YTc1VJcalbD2Uu1Yer\n9ui3t7TXwBQiDggGhBwAAEEgtnqYZgxLVtv6MXpg1hJ9umav0yPBC0pK3Roze5neX7lbv/p5O917\naVOnRwJQSQg5AABUNfaRK09s9TDNHJqs1vVq6L6ZBfp0LTEXyEpK3Ro9e5neXbFLT97cVkMua+b0\nSAAqESEHAICqzj5y5YmNDNOsYclqVS9a980s0CJiLiCVlLo1es7/RdzwK5o7PRKASkbIAQAQZE7F\nXMuEaKXNLNBn6/Y5PRIuQEmpW2PmLNO7y3fpiZuIOCBYEXIAAAShmpHhyhierMT4aKXOyNdiYi4g\nlJS6NfaNQv17+S49flMbpV5JxAHBipADACBInYq5FmUx9/l6Ys6flZS69fAbhXqncKceu7GN0q5s\n4fRIABxEyAEAEMRqRXlirllclIa/nq8v1u93eiScQUmpW+PmFupfhTs18cY2uu8qIg4IdoQcAACq\n2vvIlad2VLgyU1PULC5Kw17P05cbiDl/Uuq2Gje3UAuW7dSjN7TR/UQcABFyAABAnpjLGJ6spnU8\nMfcVMecXSt1W495YpgXLduqRG1rrgauJOAAehBwAAAqOfeTKUye6mjJSk9WkdqSGvp6n/2484PRI\nQa3UbTV+bqHmL9upCde31oirE50eCYAfIeQAAFDw7CNXnrjoaspMTVHjWpEaOj1P2ZuIOSeUuq0m\nzC3U20t3aML1rTWyFxEH4McIOQAA8COnYq5RreoaMi1POcRcpSp1W014s1BvLd2h8de1IuIAnBEh\nBwAA/kd8DU/MNaxVXUOm5yl38zdOjxQUSt1Wj7y5XG8t2aFx17bSg71bOj0SAD9FyAEAgDPyxFyy\n6sdGaPC0XOV9Tcz5Uqnb6tF5yzVvyXY9fG0rPXQNEQfg7Ag5AABwVgk1IpSVmqJ6sREaPDVX+cSc\nT7jdVhPnLdebBds1tk8rjSLiAJSDkAMAQMG9j1x5EmIiNDs1RXVjIjRoaq4KthBz3uQuuxI3t2C7\nxvRpqdF9iDgA5SPkAABAuRJiIpSVlqKEmAgNmpqngi3fOj1SleB2W018yxNxo69pqTF9Wjk9EoAA\nQcgBACD2kTsfdWM8L7OMr1FNg6bmaslWYq4i3G6rx95aoTfyt2vUNS019loiDsD5I+QAABD7yJ2v\nerGemIuLDteg9FwtJeYuittt9fjbKzQnf5tG9U7UWF5OCeACEXIAAOCC1Iv1vMyydnS47k3P1bJt\n3zk9UkBxu62emL9Cs/O26aHeiRp7bSsZY5weC0CAIeQAAMAFqx9bXVmpKaoVFa6B6TkqJObOiyfi\nipSVu00P9krUw0QcgItEyAEAgIvSoGZ1ZaWlqGZkmO5Jz9Hy7cTcubjdVk8uKFJW7laN7NVC464j\n4gBcPEIOAABctIY1q2t22qWemJvClbmzcbutnlpQpMycrRpxdQuNv641EQegQgg5AADEPnIV0bCm\n52WWsWVX5vgAlB+z1urpfxUpI2erHri6hSZcT8QBqDhCDgAAVFijWpGanXapakV6PgCFfeY8rPVc\niZuVvVX3X9VCjxBxALyEkAMAQOwj5w0Na1bXnPtSVCc6XIOm5qpgyzdOj+Qot9vqyfmeiLvvquZ6\n9AYiDoD3EHIAAIh95LylfqznPXMJNarp3vRc5X0dnDF3aouBjBzPlbiJN7Qh4gB4FSEHAAC8ql5s\nhGanpahubIQGTc1VzqYDTo9Uqdxuq8feWqGs3G0a2asFV+IA+AQhBwAAvC4hxhNzDWpW1+Bpefpq\n436nR6oUpW6rR+Yt15z8bRrVO5FPpwTgM4QcAADwiYQaEcpKTVHj2tU1dHqevtxQtWOu1G01YW6h\n3izYrjF9WuphIg6ADxFyAADAZ+JrVFNmaoqa1onS0Ol5Wrxun9Mj+URJqVvj3limt5bu0MPXttKY\nPq2cHglAFUfIAQAg9pHzpbhoT8w1j4/W8Bn5WrR2r9MjeVVJqVtj3yjU/GU7NeH61hp1TUunRwIQ\nBAg5AADgc7WjwpU5PFktE6KVNqNAn66pGjFXXOrW6DnL9E7hTj16QxuN7JXo9EgAggQhBwCA2Eeu\nMtSKClfG8GS1rldD980s0Cer9zg9UoUUl7o1Kmup3l2+S4/f1EYPXN3C6ZEABBFCDgAAsY9cZakZ\nGa5Zw5LVtn4N3T+rQB+u3O30SBflZIlbD2Yu0XtFu/XkzW2VdiURB6ByEXIAAKBSxUaGacawZLVv\nEKsRGUv0ftEup0e6ICdL3BqZuUQfrNyjp/u20/Armjs9EoAgRMgBAIBKF1s9TDOG9VSnRrEamblU\nC1cERsydKCnViIwCfbRqj37zi/Yaenkzp0cCEKQIOQAA4IiYCM+Vua6Na+qhrKV6p3Cn0yOd0/Hi\nUqXNKNDHq/fqd7d20KCfNXV6JABBjJADAACOia4WqulDe6p7k1oaPXup5hVsd3qkMzp6okRDpuVp\n8fp9+uPtHTUw5RKnRwIQ5EKdHgAAAH/AHnLO8cRcD6XOyNe4uYU6VlzqV6F08PtiDZmWq8LtB/XX\nu7ro1q4NnR4JALgiBwAAnBcZHqr0QT3Up22CnppfpNc+2+j0SJKkb4+e1IAp2Vqx46BeubsrEQfA\nbxByAACIfeT8QURYiF69p7v6dqqvZ99bo+c/XCtrrWPz7D18XP0mZWvdniOaNDBJN3So79gsAPBT\nvLQSAADphz3kxo8f7/AkwS0sxKUX+3VVVHioXvrPBh09Uaqn+raVMaZS59h18HsNmJyjXQePa9rg\nHrosMa5Sjw8A5SHkAACAXwlxGT17e0dFVgvR1C8369jJEv3+to4KcVVOzG05cFQDpuTo4LFizRzW\nU0lNa1fKcQHgQhByAADA77hcRk/3bafoamVX5k6W6oW7OissxLfvCinacVCDp+WpxO1WRmqyOjWq\n6dPjAcDFIuQAAIBfMsZo3HWtFVUtVH98b42OnijRy3d3VWS4b359+WrjfqXNKFBMRKhmp12qxIQa\nPjkOAHgDH3YCAAD82v1XtdAzt3bQorV71X9yjvYfOeH1Y7y3YpcGT81T/dgIzRvxMyIOgN8zTn4a\n1E8lJSXZ/Px8p8cAAAB+6MOVuzVq9lLVjYnQ9CE91SwuyivPOyt7i55aUKRuTWopfVCSakaGe+V5\nAeBiGGMKrLVJ5T2OK3IAACAgXNe+njJTU3T4eInuePUrFWz5pkLPV1Lq1q//tVJPzi9Sr9YJmjUs\nmYgDEDAIOQAAxD5ygaJbk1qa98DPVCMiVP0mZWtm9paL2mvu4LFiDZmep+lffa1hlzfTpIHdVT08\nxAcTA4BvEHIAAMizj9ypveTg35rFRWnByMt0WWKcnppfpPFzl+t4cel5f3/htu90yytfKHvTAf35\njk56qm87hfr40zABwNs4awEAgIBTMzJcUwf10OhrWmreku36+UtfaOnWb8/5PcWlbr38n/W649Wv\ndLLErczUFN3Vo3ElTQwA3sX2AwAAICC5XEZjr22lbpfU0sR5y3X7q1/p1i4Ndf9VLdS63v996uSJ\nklK9X7RbL368Xpv2H1XfTvX1+1s7KjYyzMHpAaBiCDkAABDQrmoVrw/HXqmXP92g17/6Wm8v3aFm\ncVG6pE6kjp0s1epdh3T4eIlaxEcpfVCSerdJkDHG6bEBoEIIOQAAEPBqRITpsRvbKvWK5lq4YpcW\nr9unPYdOKDzUpb6d6uumjvV1WYs4uVwEHICqgX3kAAAAAMBPsI8cAAAAAFRRPg05Y8wNxpi1xpgN\nxpiJvjwWAAAVwT5yAIBA4rOQM8aESHpF0o2S2knqb4xp56vjAQBQEewjBwAIJL68ItdT0gZr7SZr\n7UlJsyXd4sPjAQAAAEBQ8GXINZS07bTb28u+9iPGmDRjTL4xJn/fvn0+HAcAAAAAqgbHP+zEWjvJ\nWptkrU2Kj493ehwAAAAA8Hu+DLkdkhqfdrtR2dcAAAAAABXgyw3B8yS1NMY0kyfg+km624fHAwDg\noi1atMjpEQAAOG8+CzlrbYkx5kFJH0gKkTTVWrvSV8cDAAAAgGDhyytystYulLTQl8cAAMAbTu0h\nN378eIcnAQCgfI5/2AkAAP6AfeQAAIGEkAMAAACAAEPIAQAAAECAIeQAAAAAIMAQcgAAAAAQYHz6\nqZUAAAQK9pEDAAQSrsgBAAAAQIAh5AAAkGcfuVN7yQEA4O8IOQAAxD5yAIDAQsgBAAAAQIAh5AAA\nAAAgwBByAAAAABBgCDkAAAAACDDGWuv0DD8wxuyTtMXpOVBhcZL2Oz0EUMlY9whGrHsEI9Y9fO0S\na218eQ/yq5BD1WCMybfWJjk9B1CZWPcIRqx7BCPWPfwFL60EAAAAgABDyAEAAABAgCHk4AuTnB4A\ncADrHsGIdY9gxLqHX+A9cgAAAAAQYLgiBwAAAAABhpALUsaYxsaYT40xq4wxK40xo0+775dlX3Mb\nY876qUzGmPeNMd8ZY/79k69fY4xZYoxZZoz5whiTeIbvveS0x6w0xtx/2n0Zxpi1xpgiY8xUY0yY\nt35uwM/X/udlX19mjNlpjJnvrZ8bwc3pdX/aY2OMMduNMS+f9jXO+fAJP1/3nO9RYYRc8CqRNM5a\n205SiqSRxph2ZfcVSbpd0uJynuM5SQPP8PVXJQ2w1naRlCnpyTM8ZpekS8sekyxpojGmQdl9GZLa\nSOooqbqk4ef9UwHl89u1b629wlrbpey+/0p668J+NOCsnF73p/zuDMfhnA9f8dt1z/ke3kDIBSlr\n7S5r7ZKyfx+WtFpSw7Lbq621a8/jOT6RdPhMd0mKKft3rKSdZ/jek9baE2U3q+m0tWitXWjLSMqV\n1Oi8fzCgHP689k8xxsRI6i2Jv9DCK5xe95JkjOkuqa6kD3/yvJzz4RP+vO5Pu5/zPS5aqNMDwHnG\nmKaSukrK8dJTDpe00BjzvaRD8vwVTGUvXbjfWju87HZjSe9KSpQ0wVr7o5Ng2ctrBkoaLcAH/HXt\nS7pV0ifW2kNemgv4gRPr3hjjkvS8pHsk9TnLXJzz4TP+uu7F+R4VwBW5IGeMiZY0T9IYL55Exkq6\nyVrbSNI0SS9IkrU2/9QvsmW3t1lrO8nzy+wgY0zdnzzPPyQtttZ+7qW5gB/4+drvLynLSzMBP3Bw\n3Y+QtNBau/0cz8M5Hz7h5+ue8z0uGlfkgljZXz/nScqw1nrltdnGmHhJna21p/7iNUfS++f6Hmvt\nTmNMkaQrJL1Z9jy/khQv6T5vzAWczs/XfpyknpJu88ZcwCkOr/tLJV1hjBkhKVpSuDHmiLV2Ytnz\ncM6HT/j5uud8jwrhilyQMsYYSemSVltrX/DiU38rKdYY06rs9rXyvCb9p8dvZIypXvbvWpIul7S2\n7PZwSddL6m+tdXtxNsCv136ZOyX921p73IuzIcg5ve6ttQOstU2stU0ljZc047RfZjnnwyf8ed2X\n4XyPCiHkgtdl8rwXofdpH397kyQZY24zxmyX5y9J7xpjPjjTExhjPpc0V9I1ZR+re721tkRSqqR5\nxpjCsmNMKHt8kjFmStm3t5WUU/aYzyT9xVq7ouy+f8rzxuD/ls31tA9+fgQvf177ktRPvMwG3uf0\nuj8XzvnwFX9e9xLne1SQ8XxIFAAAAAAgUHBFDgAAAAACDCEHAAAAAAGGkAMAAACAAEPIAQAAAECA\nIeQAAAAAIMAQcgAAAAAQYAg5AAAAAAgwhBwAAAAABJj/D/XB1UTGieIhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b5e7c1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"time_range = guess_time + np.linspace(-10, 10, 1000)*u.min\n",
"\n",
"sep, sunaa, moonaa = sunmoon(time_range, columbiasc)\n",
"\n",
"plt.figure(figsize=(15, 10))\n",
"plt.plot_date(time_range.plot_date, sep.arcmin, fmt='-')\n",
"plt.axvline(guess_time.plot_date, c='k', ls='--')\n",
"plt.ylabel('Sun-Moon separation [arcmin]');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well that explains it! They news folks were trying to make sure you got there early so you wouldn't miss it. So when is the actual maximum eclipse? And is it really total?"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Time object: scale='utc' format='datetime' value=2017-08-21 18:43:04.384384>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"maxeclipse = time_range[np.argmin(sunaa.separation(moonaa).arcmin)]\n",
"maxeclipse"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Sk5PDXXfdxbhx43xb5wPXhxSRSZ58YAmuAd9dNbznnnsYNWpUmEEFIugSy8PA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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b5e69e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sep, sunaa, moonaa = sunmoon(maxeclipse, columbiasc)\n",
"\n",
"sun_circle = plt.Circle((sunaa.az.deg, sunaa.alt.deg), \n",
" sunsize.to(u.deg).value,\n",
" fc='yellow')\n",
"moon_circle = plt.Circle((moonaa.az.deg, moonaa.alt.deg), \n",
" moonsize.to(u.deg).value,\n",
" fc='black', alpha=.5)\n",
"\n",
"ax = plt.subplot(aspect=1)\n",
"ax.add_patch(sun_circle)\n",
"ax.add_patch(moon_circle)\n",
"biggest = max(sep.deg, sunsize.to(u.deg).value, moonsize.to(u.deg).value)\n",
"plt.xlim(sunaa.az.deg-biggest*1.2, sunaa.az.deg+biggest*1.2)\n",
"plt.ylim(sunaa.alt.deg-biggest*1.2, sunaa.alt.deg+biggest*1.2)\n",
"\n",
"plt.xlabel('Azimuth')\n",
"plt.ylabel('Altitude');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like it's total, just as promised!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The other Columbia "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Turns out there's another significant town called Columbia in the path: Columbia, Missouri. Maybe you're trying to decide which Columbia is better for watching. You figure it can't be *too* far away in time from the other Columbia...:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"columbiamo = EarthLocation.of_address('Columbia, MO')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AAAA/+MnG3dXN9Yeb2bhDyaPgAQAAAA47f+Pu2dvaK5aNOziEggcAAAA4iI07+BMFDwDg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\nAACAAEGDBwAAAAAB4v8DzyNl8kboRWUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b68f0940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"time_range = maxeclipse + np.linspace(-60, 60, 100)*u.min\n",
"\n",
"sep, sunaa, moonaa = sunmoon(time_range, columbiamo)\n",
"\n",
"plt.figure(figsize=(15, 10))\n",
"plt.plot_date(time_range.plot_date, sep.arcmin, fmt='-')\n",
"plt.axvline(guess_time.plot_date, c='k', ls='--')\n",
"plt.ylabel('Sun-Moon separation [arcmin]');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK, so it's a bit off. Lets center up on our new time, then."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"next_guess = time_range[np.argmin(sep)]\n",
"time_range = next_guess + np.linspace(-5, 5, 500)*u.min\n",
"\n",
"sep, sunaa, moonaa = sunmoon(time_range, columbiamo)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now lets spiff up the plot a bit to show when the eclipse starts and ends:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$2.7254509 \\; \\mathrm{min}$"
],
"text/plain": [
"<Quantity 2.725450901803601 min>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Wb9ys8Uu2KpC9UTPuJt9E7OLYA+JU2Zxz0KSF5JwAAISp25hZUo0Ujb6kI/km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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b5f7aa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"moonsize = apparent_size(R_moon, moonaa.distance)\n",
"sunsize = apparent_size(R_sun, sunaa.distance)\n",
"\n",
"total = sep < (moonsize - sunsize)\n",
"partial = sep < (moonsize + sunsize)\n",
"\n",
"plt.figure(figsize=(15, 10))\n",
"plt.plot_date(time_range.plot_date, sep.arcmin, fmt='-', c='k')\n",
"plt.plot_date(time_range.plot_date[partial], sep.arcmin[partial], fmt='-')\n",
"plt.plot_date(time_range.plot_date[total], sep.arcmin[total], fmt='-')\n",
"plt.ylabel('Sun-Moon separation [arcmin]')\n",
"plt.ylim(0, sep.arcmin[-1])\n",
"\n",
"#Approximate length of totality:\n",
"(np.max(time_range[total])- np.min(time_range[total])).to(u.min)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Salem, OR "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What if you want to go a lot further West? Will it be too early? Lets go all the way to the edge of the US while still in the path: Salem, Oregon."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"salem = EarthLocation.of_address('Salem, OR')\n",
"tz = pytz.timezone('US/Pacific')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZURsBvBlCWA5sAt4GCCF0AtZUQDZJUhX27qzlDB2RT2FR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\nAOARNHgAAAAA4BH/D+STQj6ieIw9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b5a4e518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"time_range = maxeclipse + np.linspace(-120, 120, 100)*u.min\n",
"\n",
"sep, sunaa, moonaa = sunmoon(time_range, salem)\n",
"\n",
"plt.figure(figsize=(15, 10))\n",
"plt.plot_date(time_range.plot_date, sep.arcmin, fmt='-')\n",
"plt.axvline(guess_time.plot_date, c='k', ls='--')\n",
"plt.ylabel('Sun-Moon separation [arcmin]');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK, almost an hour earlier... but what is that in the local timezone?"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XNhG+HMVTOe5yaSfhpmjoU/TrX/863nC6yBNLBjU0NPDMM89Eay8DdXGG4wreyyQuiZYu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\nxOKcyzhPLM65jPPE4pzLuP8PGA/4IFkvhCMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f82b7efd048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"next_guess = time_range[np.argmin(sep)]\n",
"time_range = next_guess + np.linspace(-5, 5, 500)*u.min\n",
"sep = sunmoon(time_range, salem)[0]\n",
"maxeclipse = time_range[np.argmin(sep)]\n",
"\n",
"sep, sunaa, moonaa = sunmoon(maxeclipse, salem)\n",
"\n",
"sunsize = apparent_size(R_sun, sunaa.distance)\n",
"moonsize = apparent_size(R_moon, moonaa.distance)\n",
"\n",
"sun_circle = plt.Circle((sunaa.az.deg, sunaa.alt.deg), \n",
" sunsize.to(u.deg).value,\n",
" fc='yellow')\n",
"moon_circle = plt.Circle((moonaa.az.deg, moonaa.alt.deg), \n",
" moonsize.to(u.deg).value,\n",
" fc='black', alpha=.5)\n",
"\n",
"ax = plt.subplot(aspect=1)\n",
"ax.add_patch(sun_circle)\n",
"ax.add_patch(moon_circle)\n",
"biggest = max(sep.deg, sunsize.to(u.deg).value, moonsize.to(u.deg).value)\n",
"plt.xlim(sunaa.az.deg-biggest*1.2, sunaa.az.deg+biggest*1.2)\n",
"plt.ylim(sunaa.alt.deg-biggest*1.2, sunaa.alt.deg+biggest*1.2)\n",
"\n",
"maxdt = pytz.utc.localize(maxeclipse.datetime).astimezone(tz)\n",
"\n",
"plt.xlabel('Azimuth')\n",
"plt.ylabel('Altitude')\n",
"plt.title('{0:%H}:{0:%M}:{0:%S} {1}'.format(maxdt, maxdt.tzinfo.tzname(maxdt)));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As long as you're willing to be up and about by 10am, you should be fine. But if you're in the Pacific Northwest, trees are a concern... So how much clear space do you need between you and the trees?:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$71.713314 \\; \\mathrm{m}$"
],
"text/plain": [
"<Quantity 71.71331420138453 m>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# a typical Douglas fir is 60 m tall\n",
"60*u.m/np.tan(sunaa.alt)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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