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@jmeyers314
Created February 20, 2016 01:53
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LSST maximum observing season
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We wish to compute the maximum possible observing wide-fast-deep season for each part of the sky. This is done by counting the number of nights each year satisfying two constraints: observations must be done at night (18 degree twilight or better), and the airmass of each observation should be less than 1.2. An additional constraint is given by the declination limits of the WFD survey, -70 < dec < 0, although this is nearly the same as the Z < 1.2 constraint.\n",
"\n",
"Notably, we do not consider anything related to the moon position, repeat visit requirements, or any potential benefit of small slews.\n",
"\n",
"The algorithm is essentially:\n",
"\n",
"```\n",
"initialize visarea as empty list \n",
"initialize nvis as healpix map of zeros.\n",
"for each night in year:\n",
" compute list of dark times for this night in 15 minute increments\n",
" initialize is_observable map to False.\n",
" for each time in dark time:\n",
" set is_observable map to True where ra/dec has airmass < 1.2\n",
" set is_observable map to False where dec exceeds declination limits\n",
" increment nvis map by is_observable map.\n",
" append active area of is_observable map to visarea list\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import healpy as hp\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from astropy import units as u\n",
"from astropy.coordinates import EarthLocation, SkyCoord, AltAz, get_sun\n",
"from astropy.time import Time\n",
"\n",
"NSIDE = 2**4\n",
"NTIME = 4 * 24 # = 96; implies 15 minute resolution\n",
"ZLIM = 1.2 # Airmass limit\n",
"ZENITH_LIM = np.arccos(1./ZLIM)*u.rad # works out to about 33.5 degrees zenith limit.\n",
"DECLIM = [-70*u.deg, 0*u.deg] # declination limit of WFD\n",
"cerro_pachon_lat = -30.2407*u.deg\n",
"cerro_pachon_lon = -70.7366*u.deg\n",
"cerro_pachon_elevation = 2715*u.meter\n",
"cerro_pachon = EarthLocation.from_geodetic(cerro_pachon_lon, cerro_pachon_lat, cerro_pachon_elevation)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def LSST_alt(ra, dec, time):\n",
" \"\"\" Compute altitudes of objects at a given time as seen from LSST observing site.\n",
" @param ra (Vector of) right ascension coordinates in radians.\n",
" @param dec (Vector of) declination coordinates in radians.\n",
" @param time astropy.time.Time instance with observation time.\n",
" @returns Altitude of objects at specified time.\n",
" \"\"\"\n",
" obj = SkyCoord(ra*u.rad, dec*u.rad)\n",
" objaltaz = obj.transform_to(AltAz(obstime=time, location=cerro_pachon))\n",
" return objaltaz.alt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Get theta and phi coords from healpix array with specified NSIDE param. Convert to ra, dec.\n",
"th, ph = hp.pix2ang(NSIDE, np.arange(hp.nside2npix(NSIDE)))\n",
"ra, dec = ph, np.pi/2-th"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/josh/miniconda2/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
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79IS6404fa8f6Quvbdc/o/TdrXcf4KRs3jy3c7dnEb7cv2swJBb+SKT5u9awC\nAGI14EDH0a8hVUrXGNOLql2Rrqt2Ra3YXiuo0vWk7erjVOyygU5qr9ht7c8WAEAlVTFDNLpSl6Ji\nNzzZKl3W5QUnv9VieSt1qS0L5ngrda6/1u8Hxzf83ZuC41qrcPv1v78pf6XOsaSgJfrX4eHLT/9i\ncPz39dng+CkbN/srdQ77R+HxPyuxyyAAxGBIgY5KXRlVTNtN8XjB+L57CiZMCw8XHUDRE9k2adb8\nogMoAAB1UeXMQKhLVPmXFLuug91384eeXHC4luj7waf7rsjgevWqEiWojxeMhw5OKKrSXanCH9Kj\nOjE4/qBODa+gyN2SCZwN5dYd0qLuXgEAKq/qWYFQ56j6LytmPQl2gXC3RN/3hrv0UmHLkrO8dWzX\nS6+X1Ap23nDnFgJ9wW6uc7/MUachj8v7gzrt9NZOho/qRG+4Ozc5s9yDOtUb7kYPljg7uWU5bVlf\nsLvV+bEsEuEOQJzqkBEIdRl1+KXFKiezjNp3T3dVO0n9r9qNt2JXpkoXkAa6POcWXMyr7ejXlBvs\nPPvZhSp2ABCjumQDQp1HXX55sepnO1aqYLAbrx60Ygvbsb6KnSMNdrfm/Cio1gGIRZ0yAaEuR51+\niTEqU7XT3sCE70p6IX94ib6vo/V07vgy3Ra8LuyrV+3QpIt357/AxyVdFdi++fOk1QXhLnRQbsEP\nKK8V6+pVsMtDsANQd3XLAoS6gLr9MmNzoqTrXyqYdEt4+Ji7wxevX16wghWH3Bgcn/TxQLCTiqt2\nSwrGDwoP79LBwfGndXRw/Ln5h4Rf4PTw8HmBK0t0nuoYAOqjjhmAUFegjr/U2Aw72BUZVrCbd9FD\nkvKD3Qq1AmlesEvbzLnBLr2aRE6ws+EuNQDUVl0/+zn58DhwkuLB8jUPL3Tyx1Rff889EfHCzuEn\nzz589P5PPac+vsVZwbM6omP8hpfGLu3wq//uPEneK1dNH1uY69k+tyV7cWbsrsxytv36y/bFNNSl\nDtautuU01KXcdrNvv8E5G530/O2OYemBsbu+QOfuX0eVDkAdVTzMcfLhXqr4L7sRql6168oShat2\n42jFZgOd1P9WLADUWQyf8VTqJoCK3eCEdvW/aGnBkwsua/W9s98aHP+SrgiOX7f9ouD4KzdOzx+8\nSp2VOtcZwVVr3rsfyh07WLu8oS51hb4UXPecvwknZ/uX4W3jcmEA6qYmgY5KXT/U5JcfhccCY9tu\nL3jyDeH29Sk2AAAQK0lEQVThc5740Xg3p3du3RccnvqWncHxX9OLuWPLdYv26lW54y9oVnjbCg7K\nNSeHx8PH3AJAtcT0mU6om6CY3gR11s9gt1JrtVJrc8cvnX1NcN1HfcRzYl/XqnCwy/Pmd7fOCBwK\ndpKGGuwAoA5i+yyn/doDtGMHw1cBOjOzfJTbks0+YUVm+XXti987tr0d+6IOHb2/Vis7XnuyRkbv\nX7P90raxI2Y/27a87Z8yKem8TKBbM3X07tTf7azS7bt/xuj9NNSl/svZTkm6SNe1LU/Tr9qWVzhJ\nd5bnZH5zbnLar9lcenP7os2cyu9fMq3XUKUVAIalpmGO9usg1PTNUTuPqcuQUOWqXRd6WbFrC3RS\nYcXOlQ10AFBFMX9mE+p6JOY3SdUU7WcXbMn2cT+7roLdqn3BdmzRPnZlrfD8AEq3Ym/uHGL/OgB1\nEvtnNe3XHqMVO1ih41OPOkdSKHR8LLzu6499V3D8ho5+7pi7Aucm2fbk3OB6px70cnD81Fk/CY4v\nDVy79uJMa9b1hh9sCV5aTZ8Lvqyuuzs8TisWwDBFEOhovw7aamtjeOPURujkHNu+JwUu3yo9mNxy\nLFQ4POVZpHX6lD6dO/6hY8KnFDl31p0Tel1Jem/gVCaStEcHTnjdnnMxl0agAzAsTfpcJtT1SVPe\nQFWwTvlXMAgGu7SylBPsjnviuQkHuzzvUCuwTTTYrZh1g+Zq64Re+wJf/zSroBMbCnad1+cAgOFq\n2mcxoa6PmvS/gypYp0DAe8S5udxg56ncpcEuvbl8+6ctcl49VK2T/MHuXcfkB68Vs8Zeb662doS7\ntEp3oF7WgWpv4bqBbo8ODFfsfMHuWue+J9g9kPwcjxfhDsDwNfXzl1A3AE18Yw2SrxAXvPaoL9y5\nAm3ZbMDzBTuXG+zSKl2ebKAbTxvW13bNBrssN9i94Qdb2ge7qNhJ7cGO1iuAQWryZy6hbkCa/CYb\nlrRqt+17ORPSYJe3g39gfztJHcFuUU6ULLN/XV6FLg12bpVuYEoGuwdyfn5U7AAMWtM/azn6dQg4\nQrZ/Qge7vmu6dOCiwITfDa97y4o5uWO36N3B567X6cHx5zU7OH6wdgXHFwYS6ArdoF06OHf8Tes2\nSPsDK/+qpMAZVR74ev5Yib34AKBrDQlzHP1aRQ158w1FqKv6nd3SnlBf9v7wuo/b8Fzu2HJ9O/jc\nT+hvg+OXKv8cd+frpuBzQydFLm1KwfgM/8Pbvq6COAoA/cVn6hgqdUNG1a6/spW7d01vX+6o3J2R\nWX5LZjlzhYUtC9qrd76K3Vm6Z/T+3+oTbWPn6rtty9eo/XJj2UB3l/5H23I20D2eaXpm9/nLVuze\ntG5D+8ZmK3ZfzSxnKnbbMlW67ZnpVOoA9EsDwxyVuqpr6hE6g5Kt3H1nd/tysHInlarehSp4bqAr\nI1Sxk6Ql+n5w/Hg9HhwvauNOtGKXomoHoN/43MxHqEP0ig523bPOCXfrPRPu11i4y7nSVxrs3Das\nL9C5bdhslS6rqO1aVQQ7ABgO2q8VREu2//5wenj8wEXqbMVmfTA8/NCCecHxR/TG4PguHRQcPyx4\nTS/p5GCUleavezI4rv8XHt72T+Hx8OmVAaA8KnOSaL/WE2/e/vvM7s5WrGvPOuWf6iQVLrQFnbIx\np+SXWBa4fmvqbfphcPz1LxWEtpcKXyJoxrTung8AZfCZWB6hrqJ4Ew9GKNhJKhfsJhjuLt/4zeD4\nSuWPF13y670vfSs4Pv/2gsBXEsEOQD/xWTg+tF9rgpZsfxQeHbvA86SzM8vZqyu8o33RbcP6KnRX\nz39f27KvSrdWY3N8ge6HetvofV+g++khx4ze9wa6QzLLBa3XnWs8j+0du0/rFcBEEeRy0X6NBW/y\n/vAdHfsdpzW7Z0PHU1rVO7eC92xmPFO9O2VDuNVaVLEbCLcVWxDoAKBf+KzrDqGuRjiMe7CG0ZrN\n25cu1IqVerB/nVR6HztflU5qtWJpxwKYCD7feoP2a43Rku2t0CXGJOmNkuaFLjM2S9LSgpUsC4zd\nJP38D/OPeD38hl9Kkp5ZMTN3zpE37dC+bHvYMfVqdZxAucP14eG8UOf63N7iOQBAkBsX2q8x4x9D\nbxWdz06SNodOVvyCpNuT23glp6Q7/DO/nMCTW468aUe5ieFucPA6rwDQK3yG9R6VuohQueu9bPXO\nd2a5jurdLM8kt4Lnq9ZlzjOcrdilVTqXW7HzBbpsxW7q1Z7XzVbt1mSWM1eQoEoHoBsEua5QqWsS\n9knovWz17mHPnM3rMhU83zmB3epddrc5z4UjylTsjrwhXJmb6uzz5w10WWs8j1G1A9ADfD4NBqEO\nKMENd75gJxW0ZqX21mwa7EpcCcxXpStratHBHEWtWGk02FGlA4Bqo/0aOVqy/TNV0gcC4zMnt77O\nCh0cETioQZJ0i6SPFcy5XtL7C+Y8XTAuST8ID2/+ujQ7cHQrgQ6Ai8pcz9F+bTpK3v31L8nNZ8dI\n6+sLoSt+hSpptyRf/y4wp+BIVUnStSoMbFqjUlW77QQ3AAX43BkeQl1D8A+s9/Y59/PCnRvscsNd\nUYu0jG+UmFMU7KRy7VgAyMFnzXDRfm0wWrO9M9XzmNuaTVuxPqPtWbcVe4tvptpbsXlVOrcVe23O\nnDOd+2ty5jhHxm7+un+K246l/Qo0DyFuoGi/Ih//GPvrX5xbWrHzGa3gpRW7vEAnjbViQ23X8VTt\n1gTmJFW7vEAnjbVjCXRA8/AZUj1U6iCJql0v+Kp1WVcGKnapWYtLrOjoEnMCQXJUiXbr5vXFc75W\n4qUAxIEwNzSFlbopA9oQVJz7j5SANzH7Msu+kPeFEekAZ/lDnpD3wn2tr3nh7mFnH7w3Xu6fs9Op\n1s240D9nu1OBm32Gf853nEB3vH8KgQ5oAIJcPdB+RQf+8fbGPnUGPUl62bn/lZHWrZd2ZtqvO0sc\nIbu9RDXu8YltDoCa4zOhPgh18OKQ9N7xhbuXM8tpuHMDXlqxcz2cOVL24TJXivDY7tlPbiLBjiod\nEC8+B+qHfepQGm3Z3pqq9lZsng9Nlp4pUc174+WdVTqfl0sc1DD7jPbWq8/xItQBsSHEVRr71KF3\n2O+ut9wK3ozAvK+MSOeWWN/qq6VPBq74MB6r10uLCubQjgXiQJCLB6EOE0LA662dnsfcoHenc98X\n8NLd5tJTi+SFu3/MVOlW+eYkX9NL2eaFu6JL3QKoLoJcnNinDl1jv4v+2Cl/2CvDd964bKAryxfe\nCHRAPfH3Om6EOvQMfyz6Y6faA96dmfG8g1vdYJcX6NYofP7hFCEOqDf+PjcDB0qgr2jNVkOZAzKy\nR+QCqDdCXHQ4UALDxb531fCyygU7APVGkGs22q8YGP7YDBeVOCBu/I0FlToMlO+PDhW8wUmD3QGe\nxwDUBwEOPoQ6DF36x4lwNzi+cAeg+ghzCCHUoTIId4NHlQ6oB8IcyiDUoXKyf7wIeQCahhCHiSDU\nofKo4AFoCsIcukGoQ23k/bEj7AGoG8Ib+oFQh9qjkgegLghz6CdCHaJBuANQVYQ5DAKhDtHhXHgA\nhokAh2Eh1KERuFwZgH4iyKEKCHVoHAIegF4gyKFqCHVoNI6oBVCE8Ia6INQBHlTzgGYjyKGOCHVA\nAQIe0AwEOdQdoQ4YB9q1QP0R3hArQh3QA1TzgGojyKEJCHVAj2U/PAh5wOAR4tBEhDqgz0IfLgQ+\nYOIIbkA7Qh0wRFz9AiiHAAcUI9QBFVP04UXoQ4wIbUD3CHVAzbDPHmJAiAN6j1AH1BwtXFQdAQ4Y\nDEIdEKHxfIgSADERBDWgegh1QMNxQmWEEN6A+iDUAfAi7DUL4Q2oP0IdgHHp1Yc/4bA3CGMAUoQ6\nAEMx3jDSlBBISAMwUVULdXdJemXYGwGgegg7ABrunqIJxvKHEgAAoPYmDXsDAAAA0D1CHQAAQAQI\ndQAAABEg1AEAAESAUAcAABABQh0AAEAECHUAAAARINQBAABEgFAHAAAQAUIdAABABAh1AAAAESDU\nAQAARIBQBwAAEAFCHQAAQAQIdQAAABEg1AEAAESAUAcAABCBKcPeAKDXjDF22NsAAC5rrRn2NiB+\nhDpE6tPJ1ymSpuZ8VXK/aDxvHXnjGUbSZGdKuursY+6yPI+5y8p53njW7Xtudjxv/VMCc9rGrTRl\nRJoyokmT97eGpo5o8pT0tl9Tpoxo8qQRTdZIsukjmqz9mqKR5P7Y8tj4iHdea7yXz817fue80GuH\nv7fxPDfz/JERTd6f/FxHXtHk/dLk/ZIZkbTfuUmS+9hIZiz7WHY8u77Q+Hheu8y29eC19+2X9u+X\n9o0kX/ePDe9Lbvs9X5Uzts/5sZV57moBg0H7FQAAIAKEOgAAgAgQ6gAAACJAqAMAAIgAoQ4AACAC\nhDoAAIAIEOoAAAAiQKgDAACIAKEOAAAgAoQ6AACACBhruUwm4sK1XwFUDdd+xSAQ6gAAACJA+xUA\nACAChDoAAIAIEOoAAAAiQKhDNIwx5xljNhpjNhtjPjXs7QFQT8aYVxtj1hljHjTGbDDGrE4e/3Nj\nzEPGmJ8YY24zxrw25/lbjTEPJ/N+7Dy+2hizLXn8J8aY85LHL3Me+4kxZsQY88Zk7FZnO/7RGMPn\nNnJxoASiYIyZLGmTpHMlPSPp3yRdYq19bKgbBqCWjDEHWmv3GGOmSLpP0sckPWqt3ZWM/56kk6y1\nH/U89wlJp1trd2Qe/1NJu6y1nwu87gJJN1hr5yXLB1lrf5ncXyvpG9ba63rzXSI2JH7E4s2SHrfW\nbrXW7pN0raT3DHmbANSUtXZPcvdVkqZKeiUNdImDJL0SWEXeKUyKTm1yqVp/v9LtSAPd1GRbQq+J\nhiPUIRZHSnraWd6WPAYA42aMmWSMeVDSdkm3W2v/LXn8L4wxT6kVvv4k5+lW0p3GmPXGmA9nxn4v\naeF+2RhzqOe5H5D09cy23JZsx05J35z4d4XYEeoQC/YjANAz1tpXrLULJR0laZEx5g3J439srX2d\npK9J+r2cp59prT1V0rsk/Y4x5qzk8X+UdKykhZJ+Julv3CcZYxZJ2mOtfTSzLcskvVbSqyWd04vv\nD3Ei1CEWz0g62lk+Wq1qHQBMmLX2JUnfl3ReZugaSe/Lec7Pkq8/l3SDWruHyFr7vE1I+lL6uOPi\nZL2+de6V9K9itxIEEOoQi/WS5hlj5hpjXiXpIkk3DXmbANSQMeawtDVqjDlA0jslPWaMOd6Z9h5J\nHQdiGWMONMYcnNyfLmmppEeSZfdo2RXp48nYJEnvl7M/nTFmevqc5ICN3/C9JpCaMuwNAHrBWrvf\nGPO7km6TNFnSlznyFcAEvVbSV5Kj6idJus5ae4sxZq0x5gS1DlbYKulKSTLGHCHpi9bad0uaI+l6\nY4zU+oz9mrX29mS9nzbGLFRrd5EnJH3Eec23S3rKWrvVeWy6pH81xkxLtuN7kr7Qh+8XkeCUJgAA\nABGg/QoAABABQh0AAEAECHUAAAARINQBAABEgFAHAAAQAUIdAABABAh1AAAAEfj/srQ/93gm3wsA\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1082787d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# zenith angle is 90 degrees minus altitude. Plot it for a given time and as observed from the LSST site.\n",
"# Cut off the scale bar at airmass 1.2. This shows the available sky at a single instant in time.\n",
"alt = LSST_alt(ra, dec, Time(\"2012-01-01 3:00:00\"))\n",
"hp.mollview(90*u.deg-alt, NSIDE, min=0.0, max=ZENITH_LIM/u.deg, title=\"Zenith angle\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def dark(day):\n",
" \"\"\" Compute which times during the day/night are dark. I.e., which times have sun_alt < -18 degrees.\n",
" @param day astropy.time.Time instance around which the time will be searched.\n",
" @returns list of astropy.time.Time instances within 12 hours of day which are dark.\n",
" \"\"\"\n",
" times = day + np.linspace(-12, 12, 96)*u.hour\n",
" altazframe = AltAz(obstime=times, location=cerro_pachon)\n",
" sunaltaz = get_sun(times).transform_to(altazframe)\n",
" return times[sunaltaz.alt < -18*u.deg]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def vis_tonight(date, zlim):\n",
" \"\"\" Return a healpy map indicating which parts of the sky are observable on specified dates.\n",
" @param date astropy.time.Time indicating night for which to compute visibility map.\n",
" @param zlim Airmass constraint defining visibility.\n",
" @param declim (Optional) declination limits.\n",
" @returns healpy visibility map.\n",
" \"\"\" \n",
" dark_times = dark(date)\n",
" out = np.zeros_like(ra, dtype=bool)\n",
" for t in dark_times:\n",
" alt = LSST_alt(ra, dec, t)\n",
" out[(90*u.deg - alt) < ZENITH_LIM] = True\n",
" out[dec*u.rad < DECLIM[0]] = False\n",
" out[dec*u.rad > DECLIM[1]] = False\n",
" return out"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Make visibility maps for Jan, Apr, Jul, Oct"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: ErfaWarning: ERFA function \"dtf2d\" yielded 1 of \"dubious year (Note 6)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"dtf2d\" yielded 1 of \"dubious year (Note 6)\"\n",
"WARNING: ErfaWarning: ERFA function \"utctai\" yielded 1 of \"dubious year (Note 3)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"utctai\" yielded 1 of \"dubious year (Note 3)\"\n",
"WARNING: ErfaWarning: ERFA function \"taiutc\" yielded 96 of \"dubious year (Note 4)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"taiutc\" yielded 96 of \"dubious year (Note 4)\"\n",
"WARNING: ErfaWarning: ERFA function \"utctai\" yielded 96 of \"dubious year (Note 3)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"utctai\" yielded 96 of \"dubious year (Note 3)\"\n",
"WARNING: Tried to get polar motions for times after IERS data is valid. Defaulting to polar motion from the 50-yr mean for those.\n",
"If you need enough precision such that this matters (~<10 arcsec), you can\n",
"use the latest IERS predictions by running:\n",
"\n",
" >>> from astropy.utils import iers\n",
" >>> iers.IERS.iers_table = iers.IERS_A.open(iers.IERS_A_URL)\n",
"\n",
" [astropy.coordinates.builtin_frames.utils]\n",
"WARNING:astropy:Tried to get polar motions for times after IERS data is valid. Defaulting to polar motion from the 50-yr mean for those.\n",
"If you need enough precision such that this matters (~<10 arcsec), you can\n",
"use the latest IERS predictions by running:\n",
"\n",
" >>> from astropy.utils import iers\n",
" >>> iers.IERS.iers_table = iers.IERS_A.open(iers.IERS_A_URL)\n",
"\n",
"\n",
"WARNING: (some) times are outside of range covered by IERS table. Assuming UT1-UTC=0 for coordinate transformations.\n",
"If you need enough precision such that this matters (~<10 arcsec), you can\n",
"use the latest IERS predictions by running:\n",
"\n",
" >>> from astropy.utils import iers\n",
" >>> iers.IERS.iers_table = iers.IERS_A.open(iers.IERS_A_URL)\n",
"\n",
" [astropy.coordinates.builtin_frames.utils]\n",
"WARNING:astropy:(some) times are outside of range covered by IERS table. Assuming UT1-UTC=0 for coordinate transformations.\n",
"If you need enough precision such that this matters (~<10 arcsec), you can\n",
"use the latest IERS predictions by running:\n",
"\n",
" >>> from astropy.utils import iers\n",
" >>> iers.IERS.iers_table = iers.IERS_A.open(iers.IERS_A_URL)\n",
"\n",
"\n",
"WARNING: ErfaWarning: ERFA function \"apio13\" yielded 96 of \"dubious year (Note 2)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"apio13\" yielded 96 of \"dubious year (Note 2)\"\n",
"WARNING: ErfaWarning: ERFA function \"taiutc\" yielded 1 of \"dubious year (Note 4)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"taiutc\" yielded 1 of \"dubious year (Note 4)\"\n",
"WARNING: ErfaWarning: ERFA function \"apio13\" yielded 1 of \"dubious year (Note 2)\" [astropy._erfa.core]\n",
"WARNING:astropy:ErfaWarning: ERFA function \"apio13\" yielded 1 of \"dubious year (Note 2)\"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"Total visibility: 8580.94628906\n"
]
},
{
"data": {
"image/png": 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IDWbB6qXNdBQM3rO1DfNEZxRntxV4CKtnZ6THwaiLSZz5FK79WFvUK30PYD3O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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bb94790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vis = vis_tonight(Time(\"2022-01-01 0:00:00\"), zlim=ZLIM)\n",
"hp.mollview(vis, NSIDE, title=\"January visibility\", coord='C')\n",
"hp.graticule(dpar=180, coord='C')\n",
"hp.graticule(dpar=180, coord='G')\n",
"hp.graticule(dpar=180, coord='E')\n",
"print \"Total visibility: {}\".format(41253.*np.sum(vis)/hp.nside2npix(NSIDE))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"Total visibility: 10850.3984375\n"
]
},
{
"data": {
"image/png": 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z/PV4HMOp/t8PkKVySAb/h3zhK2AKqvI/FrPoGuJj1Pot1wHndeGQx6Ez8Dd0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\ndhsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d826510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vis = vis_tonight(Time(\"2022-04-01 0:00:00\"), zlim=ZLIM)\n",
"hp.mollview(vis, NSIDE, title=\"April visibility\", coord='C')\n",
"hp.graticule(dpar=180, coord='C')\n",
"hp.graticule(dpar=180, coord='G')\n",
"hp.graticule(dpar=180, coord='E')\n",
"print \"Total visibility: {}\".format(1.*np.sum(vis)/hp.nside2npix(NSIDE)*41253)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"Total visibility: 11870.9804688\n"
]
},
{
"data": {
"image/png": 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CE4TmdEdJl12AnwL3AW/hXB88b2kejhscJuqayapVqxg4cCCbNm1CwmhUwCOq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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d884fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vis = vis_tonight(Time(\"2022-07-01 0:00:00\"), zlim=ZLIM)\n",
"hp.mollview(vis, NSIDE, title=\"July visibility\", coord='C')\n",
"hp.graticule(dpar=180, coord='C')\n",
"hp.graticule(dpar=180, coord='G')\n",
"hp.graticule(dpar=180, coord='E')\n",
"print \"Total visibility: {}\".format(1.*np.sum(vis)/hp.nside2npix(NSIDE)*41253)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"Total visibility: 10272.9638672\n"
]
},
{
"data": {
"image/png": 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Q6BHscIwAqQA+RH0x801P4BJgFoqbsi4URjoktxn7EHg0gDGMBH4BdOSMM87A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\nnzuAn9W3QeTNCwcccAB6Gyb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SJAqDZuj3Y3Xrws08VOT/DELoVMwh84E7SUzcWwLw4osv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\nREc6MvldVa56QR1or53yj+lIuYlck9uhIk8CsgpK2e8xF1I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fCbIeyuXojFcVWIH9LtCe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\ndUoppZRSFvD/AbF+FlcBZX3fAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a438a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vis = vis_tonight(Time(\"2022-10-01 0:00:00\"), zlim=ZLIM)\n",
"hp.mollview(vis, NSIDE, title=\"October visibility\", coord='C')\n",
"hp.graticule(dpar=180, coord='C')\n",
"hp.graticule(dpar=180, coord='G')\n",
"hp.graticule(dpar=180, coord='E')\n",
"print \"Total visibility: {}\".format(1.*np.sum(vis)/hp.nside2npix(NSIDE)*41253)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Implement algorithm described at top"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"10\n",
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"360\n"
]
}
],
"source": [
"nvis = np.zeros_like(th, dtype=int)\n",
"visarea = []\n",
"d0 = Time(\"2022-01-01 0:00:00\")\n",
"for i in xrange(365):\n",
" if i % 10 == 0:\n",
" print i\n",
" d = d0 + i*u.day\n",
" vis = vis_tonight(d, zlim=ZLIM)\n",
" nvis += vis\n",
" visarea.append(41253.0*sum(vis)/hp.nside2npix(NSIDE))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the number of times in a year each part of the sky meets our \"visibility\" criteria."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n",
"0.0 180.0 -180.0 180.0\n",
"The interval between parallels is 180 deg 0.00'.\n",
"The interval between meridians is 180 deg 0.00'.\n"
]
},
{
"data": {
"image/png": 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Sp+QNxpyIuDg2Im7VekhiwxFIjJyiKErUqId4DIbby/OBD/jss5mccMIJ9ndNkOtYX52z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\nQRCEGEBEnSAIgiAIQgzw/wGojgSEwi3TcAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bba6dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hp.mollview(nvis, NSIDE, coord='C', title=\"# nights per year visible\")\n",
"hp.graticule(dpar=180, coord='C')\n",
"hp.graticule(dpar=180, coord='G')\n",
"hp.graticule(dpar=180, coord='E')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the total area of the sky visible each night over a year."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 365)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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X+7XsrVrlOpIQ8sMWW0TiyLZ0hqrOAS4ELknuj8PXAQ95YOFC2HjjqHgbQpno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\nOHzdkIwx817FnDnQrJnX3e/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72d4U+IwKi+MAJ+DlKgS0Bb4kKQNR2Wsm7dfglWXBa5g9\nnGyPwCsqA3TEa0IBNAMaJNuHAo8k22fjpVZyXrYmbsVxa5jxTBRC8WoE/EPSLsAqYFsAMxsnaXDS\nOzgR/8JeXeG5+wEjzMyAuZJeAvYEnq7m9YYCTwC34PW17knaDwV2SDn10kzSxkBzYLikbfBS2an/\nvseY2YL1edMhVBSJI4RqSNoaWGVmX8vXc/7KzPpKagAsTdl1ONAXr8J8dlWHq2K7UmY2Q75W+k/x\nJHNaynN7mtnyCrEOBl4ws+MlbQWUpjz8AyFkSJzjCKEKycnx/wNuS5p+AsxOts/E17Uvcy/wG3yt\nnymVHO5l4JTkXEUbfB30dMpZ3wXcD4xMeivgQ14Xp8S5S0p8s5Ltc9I4dgjrJRJHCGtqUnY5Ln4i\neRTwx+SxwcBZyTKd2wHflz3JzOYCkykfTlqDmf2b8jLXLwCXJs+B6ldgewpoWuG4FwN7JMuCfgic\nn7T/BfhfSe/gSa3suAWxgmQoHHE5bggZkJxj+ADYzSos71rL4+4B/M3MDsrUMUOorehxhFBLkg7F\nexu3ZjhpXI6v2X1Fpo4ZQiZEjyOEEEKNRI8jhBBCjUTiCCGEUCOROEIIIdRIJI4QQgg1EokjhBBC\njUTiCCGEUCP/H5TS6h2kKLdKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d846c90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(visarea)\n",
"plt.ylabel(\"# of visible square degrees\")\n",
"plt.xlabel(\"Day of year\")\n",
"plt.xlim(0, 365)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total available WFD sky: 19068.7695312 sq deg\n"
]
}
],
"source": [
"WFDsky = 41253.*np.sum((dec*u.rad > DECLIM[0]) & (dec*u.rad < DECLIM[1])) / hp.nside2npix(NSIDE)\n",
"print \"Total available WFD sky: {} sq deg\".format(WFDsky)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the fraction of the whole WFD area available each night."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 365)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10359f890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.array(visarea)/WFDsky)\n",
"plt.ylabel(\"Frac of WFD sky\")\n",
"plt.xlabel(\"Day of year\")\n",
"plt.xlim(0, 365)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Conclusions\n",
"\n",
"Each part of the WFD footprint has a maximum \"season\" of around 200-230 days.\n",
"\n",
"The area of available WFD sky on any given night ranges from 8500 sq deg to 12000 sq deg, which is about 45% to 65% of the total WFD area. More area is available in the (austral) winter due to longer nights."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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