{ "metadata": { "name": "", "signature": "sha256:d04829870148cf4f2d5ac4de48c66d3001b19dd6dc83793731f10df976359a0a" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Today, I am illustrating all of the combinations of computing and plotting a constellation with an ancient epoch and/or year using PyEphem. In this notebook, I wanted to double-check my observations in [proper-motion.ipynb](https://github.com/digitalvapor/asterisms/blob/master/notebooks/proper-motion.ipynb) ([nbviewer](http://nbviewer.ipython.org/github/digitalvapor/asterisms/blob/master/notebooks/proper-motion.ipynb)) with some greater detail. There is a lot more code you'll notice compared to the first example. This is from graphing all of the segments, and that the code accounts for wrapping about 0h-to-24h right ascension. It linearly interpolates for the bound's intersection and splits the segments. There aren't any new conclusions here, but it is definitely easier to see the constellation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import ephem\n", "from shapely.geometry import LineString, Point\n", "\n", "UMa = {\n", "# star proper name: (abbreviation, hipparcos #),\n", "'dubhe': ('\u03b1UMa', 54061),\n", "'merak': ('\u03b2UMa', 53910),\n", "'phecda':('\u03b3UMa', 58001),\n", "'megrez':('\u03b4UMa', 59774),\n", "'alioth':('\u03b5UMa', 62956),\n", "'mizar': ('\u03b6UMa', 65378),\n", "'alcor': ('80UMa',65477),\n", "'alcaid':('\u03b7UMa', 67301),\n", "}\n", "\n", "def get_hip(name):\n", " for const_name in UMa.keys():\n", " if(name.lower() == const_name.lower()):\n", " return UMa[const_name][1]\n", "\n", "constellationship = 'UMa 7 67301 65378 65378 62956 62956 59774 59774 54061 54061 53910 53910 58001 58001 59774'\n", "\n", "BLUE = '#268bd2'\n", "BASE03 = '#002b36'\n", "\n", "def plot_line(ax, ob):\n", " x, y = ob.xy\n", " ax.plot(x, y, color=BLUE, linewidth=3, solid_capstyle='round', zorder=1)\n", "\n", "def plot_pt(ax, ob):\n", " x, y = ob.xy\n", " ax.plot(x, y, 'o',color=BASE03, zorder=1)\n", " \n", "def linear_interpolate(x0,y0,x1,y1,x=None,y=None):\n", " # if not passed any x or y, assume want bisection pt\n", " if(x==None and y==None):\n", " x=(x0+x1)/2.\n", " y=(y0+y1)/2.\n", " elif(y==None):\n", " y=y0+(y1-y0)*(x-x0)/(x1-x0)\n", " elif(x==None):\n", " x=x0+(x1-x0)*(y-y0)/(y1-y0)\n", " return x,y\n", "\n", "def const(const,years=None,epochs=None,title=None,lines=None,plot_pts=False):\n", " tau = 2.0 * pi\n", " degree = tau / 360.0\n", " hour = tau / 24.0\n", " this_year = ephem.now().tuple()[0]\n", "\n", " if(years is None and epochs is None):\n", " years = [this_year]\n", " epochs = [this_year]\n", " elif(years is None):\n", " years = [this_year]\n", " elif(epochs is None):\n", " epochs = [this_year]\n", " \n", " n = len(years)*len(epochs)\n", " y = 0\n", " e = 0\n", " \n", " fig = pyplot.figure(1,figsize(8*n,5),dpi=180)\n", " \n", " for year in years:\n", " y += 1\n", " for epoch in epochs:\n", " e += 1\n", " \n", " s = []\n", "\n", " for star in const.keys():\n", " s.append(ephem.star(star.capitalize()))\n", " \n", " for i in range(len(s)):\n", " if(year is None and epoch is None):\n", " s[i].compute(this_year,epoch=this_year)\n", " elif(epoch is None):\n", " s[i].compute(year,epoch=this_year)\n", " elif(year is None):\n", " s[i].compute(this_year,epoch=epoch)\n", " else:\n", " s[i].compute(year,epoch=epoch)\n", " \n", " ra_list = [star.a_ra / hour for star in s]\n", " dec_list = [star.a_dec / degree for star in s]\n", " \n", " mag_array = np.array([star.mag for star in s])\n", " size_array = (5 - mag_array) ** 1.5 * 4\n", " \n", " ax = fig.add_subplot(1,n,e)\n", " if(title is None):\n", " this_title = 'year={}, epoch={}'.format(year,epoch)\n", " else:\n", " this_title = '{}: year={}, epoch={}'.format(title,year,epoch)\n", " pyplot.title(this_title)\n", " if(lines!=None):\n", " segs = lines.split()\n", " segs.remove(segs[0])\n", " #ns = segs[0]\n", " segs.remove(segs[0])\n", " for i in range(len(segs)):\n", " segs[i] = int(segs[i])\n", " \n", " for i in range(0,len(segs),2):\n", " star1 = segs[i]\n", " star2 = segs[i+1]\n", " pt1=pt2=(0.,0.)\n", " for j in range(len(s)):\n", " if(get_hip(s[j].name) == star1):\n", " pt1 = (ra_list[j],dec_list[j])\n", " if(get_hip(s[j].name) == star2):\n", " pt2 = (ra_list[j],dec_list[j])\n", " # gotta check if the lines cross the bounds\n", " p = .25 # NOTE: using 25%\n", " ub_x = 24. # upper bound (RA)\n", " lb_x = 0. # lower bound (RA)\n", " if((pt1[0]>ub_x*(1.-p)) and (pt2[0]<(lb_x+(ub_x*p)))):\n", " if(lines!=None):\n", " #print('crosses higher to lower: ({},{})'.format(pt1,pt2))\n", " # amend left\n", " est_pt1 = linear_interpolate(pt1[0],pt1[1],pt2[0]+ub_x,pt2[1],ub_x)\n", " # amend right\n", " est_pt2 = (lb_x,est_pt1[1])\n", " l1 = LineString([est_pt1,pt1])\n", " plot_line(ax,l1)\n", " l2 = LineString([pt2,est_pt2])\n", " plot_line(ax,l2)\n", " if(plot_pts):\n", " plot_pt(ax,l1)\n", " plot_pt(ax,l2)\n", " axis([0.0,24.0,-90.0,90.0])\n", " elif((pt2[0]>ub_x*(1.-p)) and (pt1[0]<(lb_x+(ub_x*p)))):\n", " if(lines!=None):\n", " #print('crosses lower to higher: ({},{})'.format(pt1,pt2))\n", " # amend left\n", " est_pt1 = linear_interpolate(pt1[0]+ub_x,pt1[1],pt2[0],pt2[1],ub_x)\n", " # amend right\n", " est_pt2 = (lb_x,est_pt1[1])\n", " l1 = LineString([est_pt2,pt1])\n", " plot_line(ax,l1)\n", " l2 = LineString([pt2,est_pt1])\n", " plot_line(ax,l2)\n", " if(plot_pts):\n", " plot_pt(ax,l1)\n", " plot_pt(ax,l2)\n", " axis([0.0,24.0,-90.0,90.0])\n", " else:\n", " l = LineString([pt1,pt2])\n", " if(lines!=None):\n", " plot_line(ax,l)\n", " if(plot_pts):\n", " plot_pt(ax,l)\n", " gca().xaxis.grid(True)\n", " gca().yaxis.grid(True)\n", " gca().invert_xaxis()\n", " return s" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following depictions are made from calling the above function `const` for each combination.\n", "\n", "This computes the current position of the Big Dipper stars and uses coordinates relative to the direction the earth's axis is pointing currently." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_e = const(UMa,lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Fsu2VPo/3Tojmmkn9uOKITJLjO37Po2XbKrjila0ATBqSwosXt7UcRmTozhqziIhEmE0l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\nJwxM4uWZo5SYRUSkXaoxh8D28lr+vUa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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following computes the current position of the Big Dipper stars but uses coordinates relative to the direction the earth's axis was pointing at year -100000. This is rather useless unless maybe you are an ancient alien on earth pondering the future and you are planning on getting in your spaceship and staying in the same celestial spot until 2014." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_e = const(UMa,epochs=['-100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_epoch.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yBBHxAnWDi/i5+kYnn2ysYG5uMUu3VQOw4aGzaEprf9nQ0N1bqduz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\nlaxFRPajqq6RzzZVsmBdOZ9tqmRvQ8f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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This call to `const` computes the positon of the Big Dipper as it was in the year -100000. It returns coordinates for the orientation of the earth that year. At the time of writing, I believe this is the representation I want regarding an ancient ancient observer looking at the night sky." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_ey = const(UMa,years=['-100000'],epochs=['-100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_epoch_and_year.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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aneO3c+yg+INl+2Rd1+jmn59v8S1fenAO/TK6dgIUiWwv/bCNv3/qnyTnmLw0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\nIzJ8655aXMpDX2yJiC5xEdm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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gets the positon of the Big Dipper in the year -100000 but expressed in 2014 coordinates. To me this is useless, but am I wrong? This is what is commonly displayed by many popular stellar programs." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_y = const(UMa,years=['-100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_year')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZtrxkQmQwI5LCdW6RcV04Kp5x2ulSVjvcuSyPBqscpd0eqTELIUQHXli7h/98\npxbHmDIyjkdPT9e5Rca2q6yes+Zvo65J5YUbjkrixgnJOrfKs6TGLIQQXtS6viyrffXUwLgwbjmm\nv2P7pR/28OdemdJuSxKzm8xYB3Im8RmbxNdz5XVWNhXUAGr4M2GQbw78MnvfpZf/ymEpkQA02eCu\nZXk0WmVm1ZkkZiGEaMfanVXYtHxxUHIE8ZHB+jbIJIICA3jwlFRCg9Rs75aiOuZt2Ktzq/yL1JiF\nEKId93yRx3u/7gPg2vH9uHli/y4eIbrj5R/28sTq3QCEBAXw0WVDGZpo/IPrpMYshBBeYLfbWe2j\nyzz2VjPHJnJwcgQAjVY7d32Rh9UmAzmQxOw2s9eBJD5jk/h6ZntJPbsrGwGICQtk1IBIr76es97S\nd8GBATx8ahohgWpwubmwlgU/FevYMv8hiVkIIdpwvmjF0QOjCQ6Uq0l5w/B+4Vx7VD/H9tPfFWHZ\nV69ji/yD1JiFEKKNme/lONZ2/tfkVM4/NF7nFplXo9XOeW9t58+96uIWY9IieXN6JoEGvbSm1JiF\nEMLDahpsrM+rdmxP9PJlHnu7kCA1pa0dpM2GvBre2Viib6N0JonZTb2lDmRWEp+xeTO+H/OqHOfV\nDk0IY0BsqNdeqz29se9GJkdw1ZEtU9pPrC4it6zBh63yL64kZgvwC7ARWK/tG6f9vhH4ERjrjcYJ\nIYSvrfbxRSuEcv34JIYmhAFQ02jj3i/z6K2lUFfmwXOAI4BSp32rgIeBL4DTgH8Cx7fzWKkxCyEM\n5ZTX/sKyT43W5p2XwQRJzj7zS2EN09/JdizsMndyKhcYrL7vyxpz2xcpBPpov8cB+T1phBBC+IPc\nsgZHUg4PDmBMWpTOLepdDh0QyRVjEh3bj6wqpLCi901pu5KY7cAKYANwlbbvDuAJYBfwGHCnV1rn\nx3pjHchMJD5j81Z8zhetGJceRViw7w/D6e19d9PRyWT0VXX96gYb9y3P73VT2q4s/joBNULuBywH\n/gTuB24CPgTOB+YBJ7f34KysLDIyMgCIi4tj9OjRTJo0CWjpINmWbdmWbX/YXrRmN4QfBEBiyS+s\nWrXT5+1p5g9/D73ie+jUNKb+axF24FvG8tGWMvoWb/aL9rcXz6pVq7BYLHhKd+fB7weqtH9jnZ6j\njJapbWdSYxZCGEKD1caRz/1BTaMNgGUzhzM4PkznVvVe//q6gDd/VqdNxYYF8ukVw0mKDtG5VV3z\nRY05Emh5g2VxAAAgAElEQVQ+8iEKmAz8BmwHjtP2nwBs7UkjhBBCbxvzaxxJOTU2xDGdKvTx94n9\nSeujEnFFvY3ZKwp6zZR2V4k5GVgNbAJ+AD5BHYl9NfCotv9f2nav0nZaxmwkPmOT+LpvTZuLVgTo\ntPKU9J0SGRrIg6ekOba/2l7BZ3+Ve6lV/qWrGnMOMLqd/RuAIz3fHCGE0IfzgV9yNSn/MH5gNBeO\niufdzeps3TlfFTA+PZqEKHNfG1vWyhZC9Hp7qho55qU/AQgOhB9uGEl0aJDOrRIAVfVWzpy/jULt\nal+nHdCHp88aqHOrOiZrZQshhAd85zSNfXhKlCRlPxIdFsTcyamO7c//KufLreae0pbE7CapAxmb\nxGdsno5vTatpbH0vWiF9t79jBsdw7sF9HdsPrChgX22TB1vlXyQxCyF6NavNzpqdrQ/8Ev7njkkD\n6KfVlotrmnhoZaHOLfIeqTELIXq1XwprOP/tbAASI4NZfe0Iw14L2Oy+2l7BdR/tdGy/NHUQxw+J\n7eQRvic1ZiGE6CHno7EnZkRLUvZjJw6N5cwDW9ayum95PhV1Vh1b5B2SmN0kdSBjk/iMzVPxXXz5\n5dx09hFse/QMtj96Bj/Mf8Ajz9sT0nedu+eEFBIi1ZT2nqom/v2N+aa0JTELIXoNq82OZV89K7aV\nM/b0C1n4yRfYklOxJw3AljSAb1Ys5eLLL9e7maITfSOCue/EFMf24l/38Z3TrIcZSI1ZCGE6Nrud\n/PJGtpXUsb24jm0l9WwvriO7tJ76JvWZtHXuJEgfut9jgwt20Fi618ctFt1108c7+WJrBQApMSEs\nvWKYX5zm5okas7mXTxFCmJrdbqewspFtxfVsL6lje3E9W4vr2FFa71j3ukMB7U8YylDCGO47MYUf\ncqspq7VSUNnIE9/u5v6TUrt+oAHIVLabpA5kbBKfsdjtdoqqGvnOUsn8DcVc+uh7TH97O2Oe/Z3j\nX/6Lqz+w8Og3u/lgyz5+K6rtNCn3iwrm6EHRBHaQggMD9R2vmK3v2vJUfIlRIdxzQsuU9jubSvlh\nV1UnjzAOGTELIfxKSXUTW9tMQW8rrqOiviXZ1uRUEhlY2+nzxEcEMTQxnOGJ4QxNCGOY9m9chPrY\nq196Ogs/WQYpgx2PCampZ9RZve6aPIZ15og+fPpnGSuzVY357i/y+XjGMCJDjT3mlBqzEEIX+2qb\n2F5c31IH1n7fV9u901/6hAcxLDGMoQnhDEsIY2hiOMMSwl260MHFl1/Oe598DuExhCYNI27MOcQe\nOJEllw9jeL9wd0MTPlRU1cgZr2+lUvviNuOIBO46PqWLR3mPJ2rMkpiFEF5VWW9lW3Ed20tU/Xe7\n9vve6u4tqRgdGugY9TqPhPtFBff4Eo12u52Ziy18r60ANjEjmlenZeh26UfRPe//WspdX+QDKqm9\nc1Emh6dG6dIWScw6WrVqFZMmTdK7GV4j8RmbHvFVN1jJdiRfNfrdVlxHUVX3EnBkSCBDtKnnlhFw\nGP1jQhyJ0hvx/bW3jnPe2IZN+8h6+dxBHJfp+1Wl5L3ZfXa7nVnvWxzX1B4cH8ZHlw0lPMT3U9py\nVLYQwudqG21kl6ijoLdpU9DbS+rIr2js1vOEBQeo0W9CuJqGTlTJOCU2RJfVtw7oF875h8azSLv2\n7yOrdnP0oBhCgmTU7O8CAgKYOzmVM+dvo7rBRk5pPc+t3cM/ju2vd9PcIiNmIUS76pvUB9y2knot\nAasp6Nyyhm6dUhQSFEBmfFjL6FcbAaf1CSUo0L+SXkl1E5Nf+4uqBlWvvOeEAVx2eKLOrRKuendz\nCfcvLwAgMAAWXTyEQwdE+rQNMpUthOixBquNnfsaWo1+txbXsauswTGt64rgQMjoG9Zq9Ds0IYxB\nfcMI9rME3JlX1u/l8W93AxAXHsSXsw6gT7j+C1eIrtnsdrL+l8MPudUADEsI44PLhhIa7LspbUnM\nOpI6kLH1pvhmz5nLc6+9TqPNTlBwKGdOv5JxZ89wJGHLvnqauliLw1lgAAzqq42AnZLwoL6hhAb5\n5gPQm/3X0GTjtNe3kleupuZ9fZRvb3pvekNuWQNnzd9KrbbC23Xjk/jbxGSvvV5bUmMWQnSopsHG\n9XfO5o03XsGWPNCx/9333uGr4hiiR0zs9PEBQHpcqOMc4OYp6MHxYYT5cATia6HBgfzzuAHc9PEu\nAN7eWMKFoxLIjA/TuWXCFelxofz92P48+LW6uMXL6/cweXgsByZF6Nwy18mIWQiTqG20sbGghh9y\nq1ifW82vhbX88cjp2JIG7HffyOA40i593LGdGhvSZgo6nCEJYUTocFSrP7Db7Vy2KIcf89SU6PFD\nYnhpaoa+jRIus9ntXPLuDn7OrwHgwKRw3rtkqE8O5JOpbCF6sdpGG5sKaljnlIgb2xSFtz16BvZ2\nEnNUQxPz31/O8MRwMhPC/GLxf3/z2+5azntru+NAt/nnD+aoQdG6tkm4Lqe0nilvbHNctOTmiclc\nOz7J66/ricTcO78Oe4CsZ2tsRoyvttHG2p1VPL1mNxcvzGbss7+T9V4OL63by8/5Na2Sck32jwAd\nHnQV3lDGeYfEc+iASEMmZV/038H9I5h6UF/H9kMrC7F252g4NxnxvdkdvopvcHwYNx3dUlt+fu0e\nthXX+eS1e0pqzEL4qbpGGxsLa1i/q5r1eVVsLqyl0dp5YhiWEMa49CjCk5OYNe1AnqmZxYPPvUhT\nUrrjPsFFudxw47Xebr4p3HxMMsu2llPTaGNrcR2Lf93H9FHxejdLuOiKMYl8sbWcX3ar/zt3Lsvj\n3YuH+P1ZAjKVLYSf6EkiHpcezdi0qHbXh549Zy7PzZtPk9VKcFAQN8zMYvZ993orDNN5fm0Rz3y3\nB4CEyGC+vHI40WHGm2XorbYV1zH1ze2O/0u3HdufWeP6ee31pMYshIHVNdrYVFjD+txq1udWs6mw\npstEPNQpEY/rIBELz6pttHHavK0UVqrTp64a18+wK0r1Vi+u28PTa4oACA0KYMmMYV47yl4Ss47k\nXENj0yO++iZ1sNYPbibisWmRJEaFuPRa0n+etfSPMv7xaS6gVjL7/IrhpMeFeuW1pO88r9Fq54K3\nt/P7HlVjPjw1krcvzPTK0q9yHrMQfqw5ETuPiBu6SMRD4psTsfpxNREL7zpzRB/e/LnYUV547NtC\nnjl7kN7NEi4KCQrgoVPTOO+t7TTZ4Of8Gt7aWMLlfrrcqoyYhfCQ+iYbm7Wp6R9yq9lU0HUiztQS\n8ZHpUYxNj6KfJGK/tbGgmgvf2eHYfvvCTMak6XNpQeGe/6wp4oV16niBiOAAlmZ5fuZDprKF0JEk\n4t7n1k928cmf5QAclBzB4kuH6HIlLOGeBquNaW9uZ2txPQBHpkcx/4LBHu1DOY9ZR3KuobG5E19D\nk40fc6t57vsiLl+0g7HP/c5li3J49vs9rM+tbjcpD44PY/qoeJ48M501147g85nDeeDkVE4fEefV\npCz95x23HtufsGD1mbulqJYlW8o8/hrSd94TGhTIg6ek0Xy21A+51fzvl1Ld2tMRV2rMFqACsAKN\nwDht/43Addr+T4HbvdA+IXy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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_y = const(UMa,years=['-100000','2014','100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_changing_year.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I5BjmTUplXk4Kk9Pj/XaMu2FvHVe8UUBJjSnzFxkBfzxpBOdNGeyX1w9m/six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\n19dlM6JTgEstKuUMdp+q5MlfMskoPTOiukOgB6+Pi6NfrMx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ldWzNqGwY/VpJdnn9WR8f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\nyCASTDSc36ZnVD7vMz2j6fkku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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_y = const(UMa,epochs=['-100000','2014','100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_changing_epoch.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JDmo3rACgesBhbbb3xfIXX3zRp4+nZS33xvLWnaMBqN2wgm0ZmXDYTy3VPh+r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\n4nVSrKB4nUA1a0VEw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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "ancient_y = const(UMa,years=['-100000','2014','100000'],epochs=['-100000','2014','100000'],lines=constellationship,plot_pts=True,title='Big Dipper')\n", "#savefig('uma_epoch_year_iterations.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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67ub4Fbtz3By/m2MH98fvUV3PqX4ZM0JTAbDYes8rwNcciS4Lebmeq+ze5OWy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u2FEJbiD3wEDAYU4G4gGfgSiAXSgJuBMivFJ4SwcdvSdcafx8R6WzGSFpfEeHPDBQF8fagUgPkb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\nY0Q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ALy1zRsSxefNmhz6mo7nqeaMGao9fiNZQw3meebKed7cXcseyIwxfcIi/b84/q9he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ztqmfxq1v+zd9/hUVX5H8ffk16AFBJCKCGUICoq2HURYwEUVBQsKKtiwXVtu667ltVVWftP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\n2GVXsfqhm9m+rYPj9t2Nj334Q1Eciy1JaVgbU4u2NkqSE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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "![uma](https://raw.githubusercontent.com/digitalvapor/asterisms/master/notebooks/images/uma_changing_epoch_and_year_together.png 'Big Dipper changing Epoch and Year together')\n", "\n", "I believe that the above depiction is the one I want regarding an ancient observer seeing the night sky in his perspective, and a futuristic observer seeing the night sky in his own perspective. This is rather hard to comprehend sometimes, so I would absolutely love some community input on this subject.\n", "\n", "We find out [later](http://nbviewer.ipython.org/github/brandon-rhodes/pyephem/blob/master/issues/github-issue-61.ipynb) that this is indeed the correct methodology. That is, to vary *both* epoch and year together. However, the IAU precession model PyEphem inherits from LibAstro is only valid for a few hundred years. That means that although the methodology above is fine, the depictions are broken when using epochs far in the future or far in the past. We're in need of a long-term precession model to handle many thousands of years. In [far-flung-proper-motion.ipynb](https://github.com/digitalvapor/asterisms/blob/master/notebooks/far-flung-proper-motion.ipynb) ([nbviewer](http://nbviewer.ipython.org/github/digitalvapor/asterisms/blob/master/notebooks/far-flung-proper-motion.ipynb)) I find out why this happens, and in [vondrak.ipynb](https://github.com/digitalvapor/asterisms/blob/master/notebooks/vondrak.ipynb) ([nbviewer](http://nbviewer.ipython.org/github/digitalvapor/asterisms/blob/master/notebooks/vondrak.ipynb)) I implement a long-term precession model that works for hundreds of thousands of years." ] } ], "metadata": {} } ] }