hamogu Last changes in plots before splitting ode in own file  almost 10 years ago

Commit id: 7cf1cd8742a5442972f951aac2a868dc329f0dbc

deletions | additions      

       

{  "metadata": {  "name": "" "",  "signature": "sha256:093bbf916ee9855afc211b8b4c7607b10e4a317da47e5038b948cb64b58cadef"  },  "nbformat": 3,  "nbformat_minor": 0, 

"input": [  "import numpy as np\n",  "from scipy.integrate import odeint\n",  "from scipy.interpolate import interp1d\n",  "from matplotlib import pyplot as plt"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 1 110  },  {  "cell_type": "code", 

"outputs": [],  "prompt_number": 2  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "'''x is pre-shock velocity in km/s, result is fraction of kinetic energy radiated in X-rays\n",  "The values for the y-axis (the fraction of the total luminosity emitted in X-rays)\n",  "are justified in the appendix. Here they are just copied verbatim,\n",  "to ensure that this code runs without any additional dependencies (i.e. it runs without\n",  "the file that contains the shock models of Guenther et al., 2007).\n",  "'''\n",  "xrayfrac = interp1d(np.arange(0.,1001.,100.), \n",  " np.array([0, 0, 0, 0.02, 0.10, 0.24, 0.40, 0.51, 0.57, 0.61, 0.65]))\n",  " "  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 3  },  {  "cell_type": "heading",  "level": 2, 

"\n",  " def start(self):\n",  " '''gives equilibrium solution at z=0\n",  "\t "  \n", " Returns\n",  "\t "  -------\n", " d : float\n",  " omega (in AU) for equilibrium solution at z=0\n",  " '''\n", 

" delta_theta[:-1] = np.abs(np.diff(theta))\n",  " return self.m_dot * np.sin(theta) * delta_theta\n",  " \n",  " @property\n",  " def L_X(self):\n",  " '''X-ray luminosity in erg/s for each sep in z'''\n",  " return 0.5 * self.massflux * self.v_shock**2*xrayfrac(self.v_shock/1e5)\n",  "\n",  " @staticmethod\n",  " def setup_plot(figsize=(8,2)):\n", setup_plot(figsize=(8.5,2)):\n",  " '''set up 4 panels to plot the most interesting parameters of an ODE solution\n",  "\n",  " Returns\n", 

" axes: list of for axis instances\n",  " '''\n",  " fig = plt.figure(figsize=figsize)\n",  " ax1 = fig.add_axes([.06,.24,.22,.7])\n", fig.add_axes([.06,.24,.21,.7])\n",  " ax2 = fig.add_axes([.28,.24,.22,.7], fig.add_axes([.27,.24,.21,.7],  sharey = ax1)\n", " ax3 = fig.add_axes([.5,.24,.22,.7], fig.add_axes([.48,.24,.21,.7],  sharey = ax1)\n", " ax4 = fig.add_axes([.76,.24,.22,.7])\n", fig.add_axes([.77,.24,.21,.7])\n",  " plt.setp([a.get_yticklabels() for a in fig.axes[1:]], fig.axes[1:-1]],  visible=False)\n", "\n",  " #ax1.set_title('External presure')\n",  " ax1.set_ylabel('Height (AU)')\n", 

"\n",  " return fig, [ax1, ax2, ax3, ax4]\n",  " \n",  " def plot_params(self, axes, bins=10, bins=np.arange(0,10.,1.),  **kwargs):\n", " '''plot P_ext, position, v_shock and a T_posthock histrogram in 4 panels\n",  "\n",  " Parameters\n",  " ----------\n",  " axes : list of four axis instances\n",  " bins : see plt.hist()\n",  " To compare different histograms correctly, make sure to set the same bin\n",  " boundaries for all of them.\n",  " \n",  " Additional parameters will be passed to ``plt.plot`` and ``plt.hist``.\n",  " Use this for simple coutomization customization  of plots (e.g. colors).\n", " '''\n",  " axes[0].plot(self.p_ext(z), z, **kwargs)\n",  " axes[1].plot(self.res, self.z, **kwargs)\n", 

" histtype='step', bins=bins, **kwargs)\n",  "\n",  " def plot(self):\n",  " '''plot P_ext, position, v_shock and a T_posthock histrogram T_postshock histogram  in 4 panels'''\n", " fig, axes = self.setup_plot()\n",  " self.plot_params(axes)\n",  " axes[1].plot(np.sqrt(self.R0(self.z)**2-self.z**2), self.z,\n", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 3 4  },  {  "cell_type": "code", 

" \n",  " def start(self):\n",  " '''gives equilibrium solution at z=0\n",  "\t "  \n", " Returns\n",  "\t "  -------\n", " d : float\n",  " omega (in AU) for equilibrium solution at z=0\n",  " '''\n", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 4 5  },  {  "cell_type": "code", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 5 6  },  {  "cell_type": "heading", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 6 7  },  {  "cell_type": "code", 

{  "metadata": {},  "output_type": "pyout",  "prompt_number": 7, 8,  "text": [  "(9.9999999999999995e-07, 1)"  ] 

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QEIDPPvsMaWlpiImJqXdsohxN7nQbIUQ9DRnSEzduxCs7DdKEaWhoQEtLC0eO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\nwv8DI9+ZsRXFrK4AAAAASUVORK5CYII=\n", "iVBORw0KGgoAAAANSUhEUgAAAmUAAACeCAYAAABzRX3UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvXjqqXM55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"text": [  "0x3d80c90>" 0x7ff8b5424190>"  ]  }  ],  "prompt_number": 7 8  },  {  "cell_type": "heading", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 8 9  },  {  "cell_type": "code", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 9 10  },  {  "cell_type": "code", 

{  "metadata": {},  "output_type": "pyout",  "prompt_number": 10, 11,  "text": [  "(0, 15)"  ] 

{  "metadata": {},  "output_type": "display_data",  "png": 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58+Zh4sSJmDBhAqKjozFt2jSaFoYohczHZ5aWloiMjJT4Wrt27eQu0NTUFKam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\nCCEAqFFECCGEEAIA+D/80qObZ+zRNgAAAABJRU5ErkJggg==\n", "iVBORw0KGgoAAAANSUhEUgAAAmEAAACeCAYAAAB6rt2uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ne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{  "metadata": {},  "output_type": "pyout",  "prompt_number": 11, 12,  "text": [  "0x3e20950>" 0x7ff8b50448c0>"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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"text": [  "0x46c8210>" 0x7ff8b4ee7290>"  ]  }  ],  "prompt_number": 11 12  },  {  "cell_type": "code", 

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pGD58OLZt21bmGkIqF2PA1KnAr78CdeoIHY38IiMj0a5dO9jY2MDZ2RnOzs5o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\nWzx58gSDBg3CwoUL0aVLF9jZ2eHZs2dS8yvd2E1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VVPJSkJpISZg7R64oOZf0cSrLU8cCMwFPmTxJVzz5XhyOuugzJl4Jpr4i2Bki6cOgV/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\nZCjN3CaD1eevnN3zb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"text": [  "0x46cd0d0>" 0x7ff8b4de24d0>"  ]  }  ],  "prompt_number": 12 13  },  {  "cell_type": "heading", 

"language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 13 14  },  {  "cell_type": "code", 

"\n",  "fig, axes = StellarWindShock.setup_plot()\n",  " \n",  "for omega0,c,l i, (omega0,c,l)  in zip([omega_fiducial, enumerate(zip([omega_fiducial,  0.1,2, ode.start()], 'rgbk', \n", " ['solid', 'dashed', 'dashdot', 'dotted'] ):\n", )):\n",  " ode = StellarWindShock(p_fiducial, v_fiducial, mdot_fiducial)\n",  " ode.solve(omega0, z)\n",  " ode.plot_params(axes, label='$\\\\omega_0={0:5.2f}$ AU'.format(omega0), \n",  " bins=np.arange(0,4.51,.5), color=c, linestyle=l, linewidth=2)\n",  " if i==0:\n",  " ind = ode.z > 5\n",  " axes[-1].hist(ode.T_postshock[ind]/1e6, weights=ode.massflux[ind]/ode.massflux.sum(), \n",  " bins=np.arange(0,4.51,.5), color=c, linewidth=0)\n",  "\n",  "axes[3].set_ylim([0, None])\n",  "axes[3].set_xlim([0, 5])\n",  "axes[0].legend(fontsize='medium', "axes[0].legend(prop={'size': 'medium'},  labelspacing=.2)\n", "axes[0].set_ylim([0,46])\n",  "axes[0].set_xlim([3e-6,3e-3])\n",  "set_aspect_equal(axes[1])\n",  "\n",  "fig.savefig(plotdir + 'omega_0/omega_0.png')\n", 'omega_0/omega_0.png', dpi=600)\n",  "fig.savefig(plotdir + 'omega_0/omega_0.eps')"  ],  "language": "python", 

{  "metadata": {},  "output_type": "display_data",  "png": 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TQkND6dKlC7GxsYYW0aD8/fff9O/fHzs7O+zs7BgwYAAPHz40tFglkjtMQn8U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\nyf8BCkZSwVh/1YUAAAAASUVORK5CYII=\n", "iVBORw0KGgoAAAANSUhEUgAAAmIAAACeCAYAAACRmWatAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXlcVNX7x98DoiKooLjgLpb7bpmWFoiZmaI/l1Ir/WaW\nppWpldqilH2zRcutLMtM+yqpWGqm4oZL7uYeSIWiheACKiAgMHN+f5wBBxiYOzDDDHjer9d9zb33\nnHPvMzN37n3mnOc8H1AoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCoVAo\nFAqFQqFQKBQKhUKhUCgUCoVCoVBYSW/gLPAXMKWQevcDWcAgk30xwCngOHDYTvYpFAqFQqFQlElc\ngb+BRoAbcAJoUUC9ncBGcjti54Fq9jVRcTfg4mgDFAqFQqFwAJ2RjlgMkAn8CPQ3U+8VIBS4aqZM\nZy/jFHcP5RxtgEKhUCgUxaQusmfLFekcCWCPhjb/mGz/Czxgpk5/oAdyeFKYlAlgO6AHvga+KZrp\nirsd5YgpFAqFojTzMfAUEIF0irKx5IgJC+UAc4Gpxro6cveAPQTEATWAbchYs73aTFYoSgHt2rUT\nyItfLXfhor5/tahr4K5fTqCNP4EKGuua0gXYYrI9jfwB++eQsWDngWTgMhBk5lgzgMl5dzZp0sTR\nn6FaHL/8TSlG5GXGjBk56y17VRI0RCxf+KbZ8uz1gl6twVIbc+V595mzraB1e9laUJkz2mru+7cF\nRbFTHdcxx7XHNVAa3ndpO6a9jot8iGlhM1C5CM+YckA0ckizPAUH62ezFBhoXK9kck4PYB/Qy0wb\n6970lClCVKli9TKjTRubf/7msNf1U9LnKMnzoOE6LlVDk/7+/jnrvi0qEOGbim+t6mbLs9fzvhb3\nvFrL8+4zZ1tB6/aytaAyZ7RVoVAoNJKGdKJ2ALeN+wTwqoV2WcDLQBgytmwJEAmMMZZ/XUjb2sBP\nxvVywApgq7WG50W/ZhUxrkm59lXMgrrJ+eumlYNLRldQf+Z0cU+tcCCl1hEDoHHB5coR017mjLYq\nFAqFRjYYF1Os6U3bnGdfQQ7Ycybr54D2Gs+hmYH+V9jQIPc+/3rdCB+8MV/dg//socdaOUpa6xeY\naWtjFCVGqXLETInc3h6SDRwbmUHPwdrblaaHv7LV9tjLTnVc+x7XVpSm911ajmnP42rke0ee3Jac\n9s7IWffz9gOgjncDqFo1X92KST409mrM+RvnudKqZOwrie+5pK4lZ7pXOXMOFOPwqnnqVZ1ObFI5\nPn2tMa9//qxNTlitWjWuX79uk2MptOPt7U1iYmKufTqdjsK+f0XZR10Ddzc6nQ4Kf0atAYYA5sbl\nBNDWDmZZS6HPsbwc7FyH9KtxPBD2B+5NW1qsr8/MoNyHFXAxgP499VtxRjRcx6W3R6xFuf7E0ol2\ntY/Z7JjXr19XN34HYLxQ85GSkoKnp2cJW6NQKKxBr9cTERFBmzZtSvrUE4yv/YpxjN7IFBWuwLfI\nVBjmuB84gEyTsdbKtprpcq2iTC9brmJxD6UoRZTazPojam/jPabTpE6ao01R2AkPDw9Hm6BQKCzw\nxx9/0KNHD06ePFnSp75kfI0B0oF2QBvjeoyG9q7AQqRD1RIYRsESRx+TO9WF1rZ2RafTMfIEjDhV\n0mdW2JKScMRckaKovxi3qyGT3/2JnGXiVZSDGviBLGZiMJTqFB2KQsjuKfvtt9/yDV0qFArnoG3b\ntnzzzTfcunXLUSaMRopuDwQGA4eA5zW0K47Ekda2dsVF58L362DphlLbp6KgZByxCciMx9ljflOR\njlhT5HTjqUU5qAtyXNXFRV2AZZkLFy4wcOBAzp0752hTFAqFkdjYWObMmZMTyjFgwAAefPBBR5nz\nJtABGGlcOpI/Mas5zEkc1TVTpz+wyLgtTPZbaqtQaMLeXkw9oA9y/Dw7ECgIWGZcXwYMKMqBn/X1\nZTrg5+tbXBsVTs68efO47777AFQMn0LhBFSqVImlS5eyZMkSR5sCcA1IMdlOMe6zhJabSUESR+pG\npLAZ9g7W/xx4A6hisq8WUiYC42utohx4Wc04ogNgRFos9xTPxruCmTNn0q5dO86cOcNbb72lqdxg\nMPD666/z2WefFXjcdevWMXDgQCIjI2nWrBkAMTEx9OvXj9On70xmCg4OpnLlykyenE8FpFAaNmxI\nw4YNc7bffPNN7r33Xl588UWrjqNQKGyHt7c3YWFhVKpUyZFmZN9M/kYOR64zbvcHtERNxQL1Tbbr\nI3u2TOmEHHYE8AEeRw5FamkLyHtfNv7+/oWmTRj28BXiHoGVqZepg5+Gt6BwNnbt2sWuXbusamNP\nR6wvcAUZH+ZfQB1rZCxy8dap2lxKroHHkYtMKc6cmbuA7du3I4QgKCiI48ePs3fvXrp3715oeevW\nrVm6dCm7d+8u9NghISH07duXkJCQXDecvBQ0M9IaoqKiCAsLY8oULaMOCoXClly8eJFRo0YRGhqK\nl5cXdes6fCSuMvL5EY1MsJr9LFmPtufKUeBepMTRJeSMyGF56ph6Q0uRsc4bkM9OS20BCr0v5uWQ\nz23OV4Z0/W3LlRVOSV5n+7333rPYxp6O2IPIYcg+QEVkr9gPyF6w2kA84It01sxS2D8JnQ5wAVdX\nm9td5ti/fz8dO3YEoEOHDuzcuTOXI1ZQ+aRJk/jll1/MHhNkeolDhw6xZ88eHnvsMatuOHkx9y/C\n3Pd/7NgxypWTl+3169fx9PTEzc2tyOdVOA9arwGFY6hfvz6tWrVi9uzZfPDBBzY/fhF6EoKLecri\nSBwV1LZEMQgDy9uDDsFIK9tmZUEDYxZ/V1f455/85Y0b59+vKL08wp1Zk59wJ5ByKvBRAW0KFdLs\nOaGaIBixdc1HNhXnLKCgeIsVXLp0SRw5ciTXPn9/f5GVlVXUtyXGjx8vduzYIYQQYvv27WLs2LGa\ny/39/Qs87v/+9z8xZswYIYQQ3bt3F7///rsQQojz58+L1q1b56obHBwsZs+ebfY45j53S9//jRs3\nRKdOncQ333xTaD1F6cXSNaAoGZKSknLWDQaDyMzMLJHzUjbisKx6z40nlxMEI6JPhGuqn5VxWxCM\ncJlu/W8lM/POI8rV1Xy5uf0K68DJRL+zjfkIWI2cXhwDPFmCNjg9hw4dYsCAAaSmphIfH4+fnx+B\ngYEFDu1FRESwbds2s2UjR47Ey8sLg8GAq7HrUK/X56xnY6m8IEJCQpg4cSIAQ4YMISQkhI4dOxZo\nqy2GJ7O5ePEiffv25fnntcxSVygURSE5OZlWrVqxYsUKunfvjk6ny+mRVpRuXF0hNrbw8osXS86e\nu5mS+kXtNi4AiUDP4h7wUsRtuA2x1bRMjikmJThTLyNDao1t3boVHx8f/Pz8aNy4MUePHiUpKYno\n6GjGjBmTU79ly5a0bFm4FEatWrVycvwkJSVRo0YNq8rNkZiYSHh4OGfOnEGn06HX69HpdHz66adU\nr149n1RUQkICfn62Cz5t06ZNrkzeFy9epEGDBoW0UCgU1lK5cmW+++47Nm3alCucwYlwBV5FTgxT\nWIFOB3XqaCs/cQK++ALatYOXXy4Z++4mSm0Sru7JVQm4AI3cazvaFJty9uxZhBCEhobSokUL9uzZ\nQ5UqVVi9ejU9e/bk9u3bXDT5mxIREcG8efPMLtnOULdu3Th1Sk4iOnLkCF27dgXk7MbCygsjNDSU\nESNGEBMTw/nz57l48SKNGzdm7969eHp64uvrS3h4OCCdtrCwMLp162azz8mU7du306FDB/766y+7\nHF+huNuIjIzMSRXTs2dPZs2a5WCLCkQPDHe0EbZi5Z4ahH8Pvu417XYOgwFSUsCa/LsXLsC330IB\ngy+KYlJq+5i7Jr1KzQu3qefWxdGm2JSkpCTatGnDyy+/TPv27Rk0aBBz585l8+bNAHh6enL58uWc\n3h8tPWI9evRg06ZNhIaGotPp6NWrF9evX2f48OHs37/fbPmtW7dYvHgxkZGRzJ07lxdeeCGX5NCP\nP/7I1Km5c/EOGjSIH3/8ke7du7N8+XLGjx/PpEmTABl03bhxY1t+VDkkJCSwceNG7r33XrscX6G4\nmzAYDDz33HM8/PDDfPzxxzYNKbATvyHlhlYBpu6FFiFiS3qR/YH3AYNxeQPYaSyLAZKQzmAmMtt+\nfqKiNJgh6XLJRSbGsKPW5J9/wn33QbNm8PvvdjuNwgqc+RcmRCFDgo9W/53tiZ3Y+tExHp3S0SYn\n1Ol0TpswdNq0acyaNYvPPvuMwYMHl6lhOHOfe3G+i4yMDMqXL28L0xQOxJl/j2WdxMREli1bxmuv\nveYwR8x4Xi0n34X5gOgAC+1cgShkqEwscASZgsJ09qMHd5y7NsDPkJO68jwyz1hh+mtFu4LPnZNT\nFi1gyMpk1JDy6IClP9vvtxITI3vDGjaEXr3sdpoyiZbruNT2iF26vRFYT+y1TkhFi7JNnz59CA8P\nx8XFpUw5YVr491/4/HP4+GMoLE44PT2dN954g8TERFasWFFyBioUpRi9Hl58Efr120f37s2pXr06\n1apVy5mIUwrwL2I7U71IuKMXaeqImfaweZI/Y79lR7FuXTAZTbBI27bS49FAttYkLi5s3Chjujrm\neRxu3AjHj8v1J57IX66FRo3ghResb6fQRql1xLpX/YNat67QqHZrR5tSImQHygYEWPqTV7YwGKBf\nPxksmpgI331nzCFnhuTkZDIzM1m4cGHJGqlQlGJcXaFpU5g4cQtVq45n9+7dVK1a1dFmWUNt4L9I\nrcfeQEugKzK3V2GY04t8wEy9AcAsZN5L0/4gAWxHDk1+DXxj9izffgu9e1t6D8Vm/Xro3Dm/o7V+\nvTQBoHbtojliCvuixRHzQl7UjZAXXgxwALhpN6s08FWLRLi0G9q+7UgzFHbGxUXO1nn0UfjhB3jl\nlYJvJDVq1OCrr74qWQMVijLAlCkwatT7/PZbRypXruxoc6zle2TW++yHwV/IFEmWHDGtY3nrjEt3\nZFLyZsb9DwFxQA1gG3AW2Ju3cfD//gcHDwL2TUr8xBNQr575/bWNc9o6dLDLqRUmFEXiqLBu1e7I\nwMRGSJmiS8b6vkil+xhkctbfrLZUG4XGiC17uhXRcRGMeG0p9wT9xyYnVDEpjkFLjNjGjVCpEvTo\noe2Yf/31F3PnzmXevHkq71EpRf0e7c++fftIT08nMDDQ0abkw4oYsaPAfcjnVLarcQJob6FdF2R2\n/uzuqmnIgPy8AfumRCOHNBPy7J+BFBufk2e/OLjmc6oFPMG91fNPJkpITeDvxL9ztj/e9zGJaYms\nHLSSOpULyS2RjV4v4zVcXOS6wukobozY/yFFVQvKCdAUGIv9HLFC+eTqBSL04HfhjBL9vgvo21d7\nXYPBwPDhwxk2zKz0m0JxV3PqlAy8njxZJnAeOnQo27Zto317S36L05ICVDfZ7oK2ERstWpNNuKNj\nmd0XnwBUQgb7JyMD+nsBZkUFu/wxkUGG3wh9MjRfWXhMOEPWDMm3P0OfocH8kkPlEbMvhTlikyy0\n/VNDHbuRrTXpoiu1qdAUdsLFxYWDBw9qVghQKO4W9u+XQ1U3bsh48MGDH2b37t00a9bMcmPnZTJS\nQs8P2I8cKhysoZ0WrclBwAhkeooUYKixrDbwk3G9HLAC2GruJE0r1uWeaua7C6q5V6Nz3dxZL9rW\nbEvDqtqC9TOzDNQsF4tOZyh06mZx8fKS8Wca5xAorKSw7rLJebYFcBXZA3bebhaZnK+wYYlWvcYT\ncbsWSwfX5D+vjLXJCdVQiGMoSvqKrCzYtAmCgiwf/9y5czbN6q8oGdTv0fYMGgQ//XSKpk1XcfLk\nB1Ss6LwZjKwYmgTpDDUz1o9COk7OgNgcMpPeQ9+xy8Ez0jOo4F4edHqEQf3xdEa0XMeFdSdVRk7X\nzV4qA/cDW8jffVvi6HQGcMnCRadu1FqYOXMmGzZs4MMPPzRbbjAYcpKvam0DsG7dOlxcXIgySVoY\nExOTS34IZELXOXPyhk8UDYNB5rKZPx/S0wuuJ4Rg2LBh9OjRI0fCSaG4m1m+HKZPr0/VqttZuXKp\no82xFe7ABOADZPLVlwH7ZURVKGxMYY5YMHLM23R5FTmD8k27W2YBIX4Aw0wMItrRpjg927dvRwhB\nUFAQmZmZ7N2be2LP9evXmTt3Lrt379bcJpuQkBD69u1LSEhIoTbYMimkiwssWCDjXCoWcrvV6XSM\nGjWKyMjIXKoACsXdwpHwFaSlp+Rse3jAe+95s2PHdp555hkHWmZTliNTVsxHZthvhZzd6BS0crff\neJ6LCzCpDrrX6tvtHAr7U5QAK3sORWume7KX1JqsWLa0Ju3B/v376WjM+dChQwd27tyZq9zb25tJ\nkyZRpUoVzW0AUlJSOHToEAsXLmTVqlU2t3vE4sfJ1JsfYWjVquB8YqY8+uijuLu729gyhcL5CVk0\nnoc2TmDke+25cuUyvXv35vLly4AU8y5D6hOtgOeBcKT80GjjPi30Rqad+AuYYqa8P3ASOSPzd8B0\n3raltgDUr1BDoynWo9MBVeLQVY6z2zkU9qcojlgAcF1DvYrAIeQ04ghkQjyAasicK38igxu9imAD\nX3m2YOcF8G/UrijNnZa4uDiOHj2aa19AQAD6YkxNvnLlCpUqVQLAw8OD+Ph4m7RZv349vXv3pkGD\nBtSoUYNjx7RIu2nnh7gtvL3RNtm9Dxw4wLx582xyLIXCmREGAx/N7MXw6J/I/PoMXOpCNW9vunTp\nwjvv2CdWycEcQ47UZNMF6TRZwhXZg5adBHYY0CJPne1AO2RajP8Ai61oW2Y4cUJm1le5su1DYbMm\nT5vZ541MYDdCw7HTkU5bqvE8vwHdgCCkI/YJ8l/EVOPi1OjeM9/9ImaYj1HLrl9QeUEcOnSIAQMG\nkJqaSnx8PH5+fgQGBhY4tBcREcG2bdvMlo0cORIvLy8MBkPODEK9Xq9pNqGWNiEhITkyKEOGDCEk\nJISOHTsWaKu1w5OuBvj0xBd0b/Yo/Zr3L7RuRAS0aGG+lywuLo6RI0cyeXLe+ScKRRlDryfu1ef4\nqMo2dJ7w3KDFtOv0A+XcdAQHB5OR4VxpEWzEfcA+ZJZ8ATRABuyfNm63LaBdcSSOtLS1OzqdjpEn\n7C8afeGCzM4fFKTSV9iDwhyxfnm2BTJ/SoqZugWRanwtj/wHcR3piD1i3L8MKdhqtSP2QkQ1oniE\nGccSCHzU2tbOS/aNcuvWrfj4+ODn50fjxo05evQoSUlJREdHM2bMmJz6LVu2pGXLloUes1atWjnB\n6klJSdSoYbmr3FKbxMREwsPDOXPmDDqdDr1ej06n49NPP6V69epcv5670zQhIcHqmYuz9lfizW6p\njFw1jDOT/i4wweH48fDll/Drr9CnT/5yX19foqKiHCZerFCUCKmpMHw4ddavZ929blyd+irztm9l\n0FP3AfKHUYaGI00pqn5QcSSOtLa1K6Zak4rSS2GOWIyZfR7As8hcKk9oOL4Lstu4CbAI+AOoBVw2\nll82blvNgZut+INWxCaUTPyPtT1b1tbP5uzZswghCA0NZd68eezZs4cqVaqwevVqZs+eTUREBBcv\nXswR/i6sR2zEiBF4e3vTrVs3jhw5Qp8+fThy5EhOFu2YmBgaNWpktm1BbbIJDQ1lxIgRLFq0KGef\nv78/e/fupXv37vj6+hIeHk5AQACJiYmEhYVZLSI8eXIo4f/rw+Z70xizYhgbxuwy60w1aSJfp06V\nkm7m7knKCVOUaRISoF8/DAcO4uLtjf93G6BbN+q3PEhwcDC9e/fGpew+rGOK2K6oEkfNrTmJPSWO\n9HqoTywuBgP/2uyo+WnXDhYvVnnEtFAUiSMtVAAGAmuAJKSuV97eMktUBQ5iPr6soOB/URg9qx0V\nIMTWWUcLrWcNls5ZEkyePFm0atVKLFq0SNSrV09MmDBBCCHESy+9JIQQYsmSJeLw4cNWHdNgMIhJ\nkyaJNWvWiClTpgghhEhMTBRdu3YVQgiRkpIiPvvsM1GrVi3x+eefi5SUFLNtTAkICBBhYWG59s2f\nP1+MGzdOCCFERESECAgIEO3btxft27cXK1euLNA+c5979r5/Xxkp6k9EfD2gvjDcvm22fXq6EPXq\nCdG/vxDXrxf8OWzZskX06tVLbNq0qeBKCqfBGX6PpYLz54WhaTMxgxliiPsv4vqBw8JgMOQUm66X\nJtDuKBWVLsh0TNlMo5CgeyPRyCz+WtuK02sX2e0zMmRmiVh8Rayurt3OoSgeaLiOC+smeAwZgNgD\nOXy4BliAlIMoCu8CacgZLf5APLKrNxzz/zDEjBkzcjby/pN48cGp/BlXnnentiNwzKAimpQbZ04g\nOW3aNGbNmsVnn33G4MGDc3rEygI6nY7w8PBc/yLee+89ZsyYARkZ6Bd9SeCNm/h/8AG8bV7kPSkJ\nTCZ9mmXVqlXo9Xr+7//+T82kdELy/pPMuQaM2FMwubRydu/PHHznOaL2TOEjpuHiIujb9yV8feHL\nL78sVb1g5r5/7Bv+VA4ZSxaIlDg6jHzmmcZ55ZU4WmPcp6Ut2Dmhq9KadH6sTEycDwOwATANzLEm\no74Pd2ZEugN7kBdtdpA+yNiwjwpoX6iX2epRD8HDiO/mT7ap5+qs7NmzR+zcuVN8/vnnjjbF5pj7\n3HPt275dCBDC3V2IixdL0DKFI3Hm36MzcOCn+aL6FJ1gOmJAkx+Eq6tBrFolRFJSknj22WfFlStX\nHG1iscD+PWIAjyMdqr+RvVogJY6yA3HfBM4g01fsRSY1L6xtXsTmkJn2+5CysuS90cXFfudQFAs0\nXMeFxYh1RHr4u5HdsWuQAfda8UUG47sYlx+AHcgLejUy70sM8KQVx8xBZzzq3RL50717d0Cmsrjr\nCAyEwYMhNFQGgq1YUexDZmRklNXAZcVdwKZv3mTwhU9Jc4cnkn1ZvC+AU2euEhhYE6jM8uXLHW1i\nSTII+Ye+FnceCQKw0EcOwGbjYsrXJuufGBetbUsUgzCwvD3oEIx0pCGKYlFYv/UJZM9VU2AmMo+K\nG/LCe1HDsU8jnbn2yOnDnxr3JwI9jcftBdwoiuG+zSuAP9SpXb0ozRWljU8+gQoVYOXKnMDXwiho\nhHnXrl20adPG6okDCoWzsGzOswT9+ylpbvBcRit+nnWebTt2M25cd2JjYx1tniP4BDkbvwpSiq8y\n2pywUo8QgucGwKgg+3Yeqjxi9kVLAIFA5mh5GagHfI4MVFQoSo7GjWHiRLJc4IcFozkRf8Jstd9+\ng8cekzqU5rjnnntYsmSJSu6qKH0IwY333+L1uJXoLzzCtHIBLPngNG5uFRg+fDgvv/wyycnJjrbS\nEcRTwvm7nAW9Hpgdi+HzfyzWLQ5eXtC5MzRtatfT3LUUNrLXBDkkWRha6hQV4/Cqeeq1DiQ2Wc+s\nkT2Y+v50m5zQmYP1yzLmPnez30ViIv99ypd3umUQVKMb68fl1788cEAmH3ziCahc2Z5WK+yN+j2a\nYDDApEkwbx6ba9dleNop5s6rQvPmv/PAAyWevqpEsCLIeR5QG5liIjtjrQB+0tC2NzAXGXbzLfBx\nnvKnkXFiOiAZeAk4ZSyLQWYS0AOZyCSveREX1y2nfv9nNZhiPRnpGVRwLw86PcJgTeSQoqTQch0X\n1iP2IbAROQzZERnzVQfohAxk/BX4ry0MLQrN0ivR6CbUq+DjKBMUJU21aozuPBb3TNhw9TdOxp/M\nV6VrVxg61LITptfruXnzpp0MVShsSFYWPPcczJsHbm48vmAu+w9Uw83tHEFBQfz888+OttDRVEXO\nyO8F9DUuWlIsaZEpOgc8jAyvmckdiSOQzp4/MmzHnBMG2FdrUlE2KMwRewp4DaiJdLh2IHW3PkDO\niHwFmdjVIexonM75m7t5pvO9jjJB4QBqTXyXF07JOSYLt84s0jFWrVpF9erVmT17ti1NUyhsT3o6\nDBoEy5eDh4eUjxg8mBYtYPjwpoSFheHr6+toKx3Nf4zLc3kWS5jKFGVyR6bIlANA9j+2Q8jwHFMc\nOl/MxQWYVAfda/UdaYaimBQ2axLkRfpBSRiiUGjCx4dx9Qcxn1WsOLeeT9Ku4+3ubdUhHn30UaKj\no6leXU30UDgv6YlX2DymB49v+JtbVf2ovmUFhs6d+WHZMp555hlcXV1p3769o810BuoD85FaxiBT\nJU0Ai8nmrZUpeh7YZLItkJ0TeuRMy2+0m2wbXFx0jDwXd9dkDyirWHLEnJZlly4RDYyIjeUeRxvj\n5GRmZrJ48WLS09O5ceMGM2fm70maOXMm7dq148yZM7z11lsF7svLunXrGDhwIJGRkTRr1gyQ0kn9\n+vXj9Ok7uvHBwcFUrlzZJsLbzca8Rc/Zq9jeJIvlhxcz4RHzybCTk+VEy7xZKqpVq1ZsGxQKe5Ic\ne57+H7UjvGkWLb03U75WF3Y0dcf9dhrLli3j4MGDueTF7nKWAiu4kwrpaeM+SyrE1gQgBgCjgIdM\n9j0ExAE1gG3AWWSusVzYU+KopLQmT5yAL76QUkdK9LtwiiJxVGodMRedjnKATgXzWiQ0NJRhw4ZR\nrVo1hgwZwqFDh3IF+G7fvh0hBEFBQRw/fpy9e/dy+/btfPuyc5mZEhISQt++fQkJCSE4OLhAG2yq\n9di2LTMT2vLy4VP0rlPljoS8CaNHw/ffw+bN8GgBt+OUlBQqVKiAm5ub7WxTKIpJwl+n6LPgAQ5X\nu03577cTcT2AWuXhyhVo3tydjRs3cubMGUeb6UzUQDpe2XwPaMlPE4vsTcumPuZ70doie7t6k1ui\nL874ehX4GTnUmd8Re+YZKYJbBP7+G04ZpwY0aSIdobzlt2hLO+x7PVy4AN9+C0FByhGzRF5n26gQ\nUSilR/8iL7oRZPI+BkMTR1vi9ERFRbFq1SoA/Pz8+Pff3Pea/fv307FjRwA6dOjAzp072b9/Px06\ndMi1Ly8pKSkcOnSIhQsX5hy/pOgyaAL9o6DCavMTo6pVk1O7zZgNQK9evahRowansu9yCoUTcOnE\nHh75ohPQ/Hi9AAAgAElEQVSHq6fTOK0cM8c2oE4dweDBwVSqdBGASpUq0blzgbHhdyMJwLPI4Pty\nwDPANQ3tjgL3ImX7yiPjojfkqdMAOfvyGWSoTjaVkPnKADyQEwVOY4YzqTEaTDHPr7/KEMFBg+C7\n78yUb9LxHaOKfHyFc6DFEduhcV+JMjvxQT7gXXadv1Ui59Pp7iwFlduCuLg4jh49mmtfQEAA+mLo\niE2dOpWRI2Xe5ZMnT9KlS+40cFeuXKFSpUoAeHp6Eh8fz5UrV/Dw8ADAw8OD+Pj4fMddv349vXv3\npkGDBtSoUYNjx44V2Uar+b//Azc36WldvpyvuJsxWuTfAqJE1q5dS2pqKp06dbKjkQqFdsTvvzN0\nUU/+8M6iZYo7e185zpvT7uHPP3U0aVKVPn36FOs+UIYZhRyWjEf2Ug1BW7B+FjI/ZhgQAaxC5iMz\nlTiaDngDi5CqMIeN+2sje79OIIP4NwJbzZ3k3wwtPqF5mjSRt7r/+z9o29ZMuZ+gLfb/M9muHSxe\nDOPH2/1UdyWFDU26I73+GoBpUE0VZJCjQzmfsREI4+SlKkjJr7LBoUOHGDBgAKmpqcTHx+Pn50dg\nYGCBQ3sRERFs27bNbNnIkSPx8vKiYsWKgBy77tGjB3Xr5v76DAYDrq4yB41er8fV1dXsvryEhITk\nZKgfMmQIISEhdOzYsUBbbTo86e0tM7du3Ahr18K4cbmKe/WCmzcLFgKvrJKMKZyJPXvQ9evHVxUy\nmTzchx/ePopPjYaAnCw5ceJEBg8ebPZ3qCAGbekqzGFJ4mi0ccnLOaRqjE0ZNgzi4qSASJ060Lev\nXApCln2HvQe3GjWSmfUV9qEwR2wMcuZJHeB3k/3JyNwrDqVanaMke2ZRo/qDJXI+S6FotgpVy8iQ\n+Qi3bt2Kj48Pfn5+NG7cmKNHj5KUlER0dDRjxozJqd+yZUtatmxp8bgJCQns27ePt99+O19ZrVq1\nuHVL9iwmJSVRo4bMe2NuXzaJiYmEh4dz5swZdDoder0enU7Hp59+SvXq1bl+/Xqu+gkJCfj5+Vnx\nSWhg4EDpiG3enM8Rq1hRLoWRkZFBVlZWTm+gQuEQNm2CQYO4kl6ZjW3/x6aPh6CrUJ7p06fTunVr\nnnxSxqDXr69SFORhCjIB6wIzZQJ4tWTNKT4TJsiMJd4aJ4IrrcmyQWGO2Fzj8ipyarBT0bbHGS54\nXaaD30OWK5cizp49ixCC0NBQ5s2bx549e6hSpQqrV69m9uzZREREcPHiRRo0aAAU3iM2YsQIvL29\nEUKwcuVKpk2bRlZWFrt37yYwMJCYmBgaNWpEt27dOHLkCH369OHw4cMEBgbi6uqas+/IkSMEBgbm\nOnZoaCgjRozINXPL398/J6jf19eX8PBwAgICSExMJCwszPb6jr16AXBz306SrkVT30d7vOCSJUsY\nO3YsY8eOZcECc/dxhaIEWLMGhg+HrCwq/OdFQs8MRzdfxxtvwODBgwkKCsLf35+aNWs62lJnJML4\n+ju5Z0DqsG5GpNPQxUrxwGytSRCc2fpGzv43HnqDmh75r5lP9n3C1VtX0el0DGoxiAfqlU1VhrLK\ng8BwYITJYm9EYQS9VlsQjPj5+6mF1rMGS+csCSZPnixatWolFi1aJOrVqycmTJgghBDipZdeEkII\nsWTJEnH48GGrjvnll1+KqlWrCh8fH1GtWjVx5swZkZiYKLp27SqEEMJgMIhJkyaJNWvWiClTphS4\nz5SAgAARFhaWa9/8+fPFuHHjhBBCREREiICAANG+fXvRvn17sXLlygLtM/e5a/0ufnysnnCdjnj6\ny56a6mej1+uFwWCwqo2iZHGG36M9Obv4QyFcXIQAIV5/XQiDQSQkGERsbFZOnbS0NAda6FjQ7kw9\nqXGfOXoj0078hexhy8vTwEmkrNE+5AxKrW0BxOaQmXb7jPSZGcJzGoLg3Evk1Uiz9ZstaJZTp9PX\nnexml+IOaLiOtQTt/A/wQwYlmkaKvqKhbX1gOTI7v0DKQ8xHxpytAhoix/efBG7kaWt8D+a5v483\nR2/dYF6vUbz69hINpljGmbXtpk2bxqxZs/jss88YPHhwTo9YWUCz1qQZTk5+mvZVVuKHN9EzEnOV\nCQE3bsiufpV8vPThzL/H4vLjZ8/xzM3v+WQbTOr9Hrz7Luh0LF68mPDwcH744QfKlSu12YVsghVa\nk8eRMkOW9uXFFYgCeiJTWRxByhyZCoh3Rfa83UQ6XsFAF41twc5ak+j1/OZXjgP1dfDxHZnMUR1G\nUb1S/oTVS44tIfJaJHMOzKG5T3Mix2vTSld5xIqOlutYyy+9E1KHqyh3xExkPpcTgCeyC3kbckbL\nNuAT5D+JqcZFMw+mVqPyhRv4ud0dXfZ9+vQhPDwcFxeXMuWEFZdWnR7HPWIl59yuk5CakOvms2YN\njB0LTz8NeUcf9Xo9mZmZuLq6qjxiihLlu/8OZnTmWsQNPyLu7wHTp+eUPfvss2zcuJHjx49z//33\nO9DKUsHjQB/k5LH53HnYVUY+eyxhKnEEdySOTL2TAybrphJHWtoC9tea7HYRuv2rg4fesFj3+Y7P\nE3lVOmLW4OUFnTtDw4ZFtVJRGFocsTNIwe9LRTh+vHEBSEFepHWBIO6k4VwG7MJaRyxtPFUu3KJR\nubtjjDs7mWpAQICDLXEuynXuQscdsK8BHI09wmP33kmc+OSTcjHHtm3bGDBgAL169WLDhrypgxQK\nOyAEC2f05hXXrZDQlCo/7GNDeR+ixgl8fBKpXr067u7urF+/3rYzjMsul5B/7vsbX7Njw5LRltC1\nOBJH1rbVRN5Zk/bA3c2drvW60tBLu1elZk3al8IcsV+Mr57IrtnDwG3jPoF0pqyhEbKr+BBQC8hO\n/nTZuG0VLi7gRiYuQuXVuatp0oROCRXY1+A2J/7ck8sRK4zevXuTnp5uZ+MUCiNC8NWUQF7xCAeD\nCzXXhHPlpg8PPwz//HOAxx4bzs6dO/Hz81NOmHZOGpefgFvcCZ1xBSpoaF8ciSO7jJkfOgTnz8tw\nCnvRyKsR+5/fb78TKKymMEfMur7LwvEE1iLTYSTnKbMmKDMHN7d1ZLCX9LSZlKU8Ygor0eloWbEe\nja5H45Zw3XJ9haKk0ethzBh6/hxOvf/AOy1eoO3Pdfj4Y1ixAjw8HmTKlClERkbaPsXL3cFWZKxW\ninG7EjJJq6XcRsWRONLa1q5akzkIIbvStKLTQa1atstErsjB1lqT1h2pYNyQTtgPwDrjvsvIzMTx\nyGHPK+YammoX5r2ADW5uVADKZWXZyEyFIzF38Rb2/Zsyxr07Y+ZFw9eWYnPvkJqaCoC7u7vqgXAS\ninMNOC2ZmfDss7BqFfe4uxPZMwTPx/sjhGDGjBN4eMhr9qWXXnKwoY6nKA8wIxW544SB/LOvJTmg\nqcTRJaTE0bA8dQqSONLSFrBOa3LlyiJOLhLC+rHMZ56BH36w8kQKSxRFa1ILyWaWf5Eip5b+vumQ\nsyY/z7M/O0gfZGzYR2baFj4ndNw4Oe174UKbTjNVlDzmPnervosPPriTAsAEvV6I+HghrlzJ32Tu\n3LmiQoUK4q233rLWXEUJUep/j+npQgQFyWuzcmUh9uzJKYqPjxe+vr5i2bJlDjTQuUH7SMk+5KSy\nbO4jd5B9YTyOnP34NzDNuM9U4uhbpJblcXJLHBXUNi/i9NpF9v2gRo4UonZt7Uv16vKabN5c8ymO\nHxdi9GghFiyw39soq6DhOtYSrD8PGZQYYtweCjQxXpTfAf6FtH0I+U/ilLE+yAv2I2A1MvgxBu05\nX3LY7nGZ3QHQ89YfOVH/iruUxo3l68WLuXZfuwa1a0ONGnAlT5/rhAkTmDBhgtLuU9gFkZaGbsgQ\n+PVXoqt0YNr92/m+U7WcbppatWqxY8cO/vzzT4faWUZ4Dfk8yR6b80X2UGmhqBJHBbXNx78Z12it\n0Zgi8f331tWPjAQNaiymXLgA334LQUEqfYU90CJQFYS8MJOMy2LgMeR0XUtCDL8Zz9EeGajfAdgC\nJCLH9JsiVevz5hCzyMcn9HwQ/QizdiRY2/SuZOLEiWRkZPDll19y2YxI9syZM9mwYQMffvghIOV/\nvvjiC+bMmcO7775b4HHXrVuHi4sLUVFROftiYmJo06ZNrnrBwcHMmWPLsEMTsuWXruUW19WSgkpp\n9ylsjT71Fv954x5mJv8K1avTKHwp5WtX49NPBSEhIWRmyswKLVq0oH///g62tkxwBGgBvASMBZoj\nhw5LHRMnTsyVnig+Pj6XtJWlbS2kZqWxvz4c91KTlZwFLY5YKvLfhYtxeRLI/gYdlm3x+jU/uNiD\ni7HNHGVCqWL58uU0btwYNzc3atXKPUl1+/btCCEICgoiMzOTvXv3snbtWoYNG8bkyZM5e/Yshw4d\nMnvckJAQ+vbtS0hIiNnybOwah+XjI1/zOGJ6PdSrB9Xz5zXkwoULObqeCoWt0N9K4fk3mrK8xiU+\n7gYXN67AtWM7li2DN97Qs3LlSp599tkym6jWgTRD5rvshIzVKgn1F5vz1FNPMWLEiFz3pmzHXeu2\nJS6kXuKh52F4V+0Zqdq1g8WLYfx4q06l0IgWR+xp4FlkQP0V5AX+DOAOOKyTslXTVsB0snRtLNZV\nwPz584mNjeUFM8lg9u/fT8eOHQHo0KEDO3fuJCoqilWrVgHg5+fHv//mnxCUkpLCoUOHWLhwYU5d\nh1C9OtHecFzEcSvjVs7uOnXgn39kT3xe+vXrR+XKlblxw+rOWIXCLPqUZEa/0YxlNS/hkQmbei6l\nQZfHAHB1hUqVyhEaGspLL72kJojYlmBkQtcFyFCZT9CeXsmSTFFzZLxZOjA5T1kMd8JuDmMD5s3r\nwp49M7h2rTwgh7AvmoRcWNq2F9l5xIzyvgobo8URiwb6Aj7GpS8yODENOfToENq3Sgb/GXg3We8o\nE+xCXFwcR4/m7lUPCAgodizTuXPn2LJli9nhwStXrlCpkoxe8fDwID4+nmnTpjFy5EgATp48SRcz\narTr16+nd+/eNGjQgBo1anDs2LFi2VhkKlXimYHQcdBVTl0+panJqVOnSElJwcvLy87GKe4GDOlp\nvPBmc76vdYmKcc2YXnkbDwf8B4ClS5fy999ywl2FChV45BEV1WpjBiNDXeKQqi3tAC0/bFdgIdIZ\na4nsSWuRp04CUs5vtpn2Aun4dUBm2i82EybA+++74W0M+tHpdJQvXz6nPO82QFpaGjdv3rTF6RUO\norBg/SnAx8h/GXkRwKt2sUgjLZrqYdf7/BNfDimHaV/y6t5Zu62VQ4cOMWDAAFJTU4mPj8fPz4/A\nwMAC/0FHRESwbds2s2UjR47McTSy47yio6MJCwvjsccey6lnMBhyYqX0ej2urq5UqCDzIe7atYse\nPXpQt27dfMcPCQlh4kSZwHrIkCGEhITQsWPHAm21Wy9AuXKUM8jVLIP2dCZK2khhE7KyiBsxkO31\nLlHxakMq//Q7b1/34P7OEBAg4y39/f35448/qFq1qqOtLYukIZO5ZgFVkSM3WgKntMgUXTUuTxRw\nDIs3tVbu2jPYz5s3jLi4OFauXIm7u+V0FAaDgQYNGuDi4sL16yqPYmmlMEcswvj6u8k+wR0ZCYdy\nb4uHeCAa7i+nk1HZZaSrPzs2YOvWrfj4+ODn50fjxo05evQoSUlJREdHM2bMmJz6LVu2pKWFGTBL\nly5Fr9czevRo3N3dOXXqVC5HrFatWty6JYf0kpKSqGEMfk9ISGDfvn28/fbb+Y6ZmJhIeHg4Z86c\nQafTodfr0el0fPrpp1SvXj3fTSEhIcF+ySrLlcPN6IhlGizHS5w9exZPT0/q1q2rhogUxcNggOef\np+6aLeyrV4WBNfdz9KoH3bvDA0bBmzFjxhAQEKCcMPtxBDlx7BtkkP4tQEvq+OLKFAlgO9IJ/Np4\n/nxYozU5YcIE0tPT8fa2NA9O4urqqnrDygCFDU1mSxx9b1zWIHUhvze+OpQmbTpz8KYXC6Izwcws\nQFuTt3fL2m2tnD17FiEEoaGhtGjRgj179lClShVWr15Nz549uX37dq6YgIiICObNm2d2yXaGfHx8\neOIJ+YcuJiaGTp065awDdOvWjVOn5JDekSNH6Nq1K0IIVq5cybRp08jKymLHjh257AwNDWXEiBHE\nxMRw/vx5Ll68SOPGjdm7dy+enp74+voSHh4OSKctLCyMbt26FekzsYhOR6bxSi7ncue/xfnzcOmS\nfFaasnbtWtq3b8/69WVrWFvhAF5/HZYvBw8P6q/ewroNdRg+HN5//ygbNvyYU61p06YONLJMo0Om\nQ7oOfIWchT8SOURpieJ2KDyEHJZ8HBgPdC/m8ejSpQv+/v64u7sX91AF4u5aka7/QPsbWlSgJCdO\nyBixhQvtZtZdjZY8Yg8ik9pVRnb3tgdeBMbZ0S7L6HRyKsfu3VI+YsAAh5pjK5KSkmjTpg0vv/wy\n7du3Z9CgQcydO5fNm2W6Gk9PTy5fvpwzxVlLj1jfvn2ZN28eVatWpV69evTo0YPr168zfPhw9u/f\nT48ePdi0aROhoaHodDp69erFokWLePfdd3n//fcxGAzs2bMn1zF//PFHpk7NrdM+aNAgfvzxR7p3\n787y5csZP348kyZNAmT6isbZ+b5sza1b3DKGTXiW98zZvWCBzFT91Ve5L4+3336badOmqRxiiuKx\naBF8/jm4ucG6ddC1K3WRskWnT1dg5MgpeHh40K9fP0dbWtbZBDmpus5b0U6zTFEBZOctu4pMcN4Z\n2Ju3ktUSR1b00gtkTilu3NDc49rIoy77lwDN84ebFISXF3TuDA21j7LetRRDIaJQDiNlHo6b7PvD\n5mfJj8WMtaGDp4kWdBePNxxpswy4zsrUqVOFEELMmTNHXLhwwcHW2BZzn7tV38W5c2LwEESrCW4i\nOjE6X7HBUBzrFI7CmX+PNzf9LISrq8xQXkB2/MuXL4vbt2+XsGVlB7T3WC2jaMHy5ZCT0RoB5YET\n5A/WzyaY3LMmKyE7JwA8kNn9zc0pFGLzZs3vuUGDoaIq7cTv1JTXloUlC0QVEF5eXto/2IgIqzPr\nK4oOGq5jLbMmAfLOj3UKgceM1u2ojwvv3jouk0aVYfr06UN4eDguLi65Ev4pgJQU1qyBMzua4eed\nPw7N9A/mrl27+O2331QOMUWRSY75k45bBzE5UM/+/yzkSu87Kas2btyYc23VrFkz3ww3hV3ogkwx\ncQ44bVy0TJ/OQqZgCkPGRK9CBuqbShzVRsaRTQTeQT4LPY379yKdt0PARqT4eLHIzJzATeZSEW1D\nk67ATeD69evs3LkzV5ohS9sK50GLI3YRORYO8l/D6+SeVeIwhk1/kjC/f+hy7RQJJvEYZZHu3bsT\nEBDAa6+95mhTnI8Eo7qChlQU586dY9y4cYSFhdnZKEWZxGBg4kf+RHsZ2NmuMruavkCHDhAdLRNr\nfvHFFzz88MNkZTnFf9WyTnasQy+k7F4PoJ9x0ZpHbDMyGew9wCzjvq+5I3MUjxyyrIqcENAAKTB+\nDhmm0x45LDqLAjiTGqPRFKhYsQvgT0XNfSR3mDNnDidPntS8rXAetMSIvYTUm6yLHFPfigxMdDw6\nHRfGDefpiA9IXP88Jx4fSPmK9gtyVDgpsbHy1UyKjbyMGjWKUaNGqczmiiKx7cvXWeIbR4UsWPHc\nRlq2KE/PQJnw0tXVjU2bNhEVFUW5clpurYpiEorMpP8dEOhgWwrEGq3JlSshvas/vjnhZ9oJCAjI\nlWaooO0/Y2LoDtx74YLjEoEqcqHlbnEVGG5vQ4pKzRcmcjLwA1KibjPD5wlmzd7paJMUJY0ZR2zL\nFmjQAFq0MB/7qtJWKKxFf/MGk6Pmgw8E1x5KyxYPAzKIORudTkfz5s0dZOFdhyvwNrJHaxK5c3oJ\n4DNHGFUc5s0bRhy7WQkaByfv8Prrr2vaThIZLKkDlXx9NB/7xAn44gs5P06Jftuewvo/F5gs881s\nOwXuVarxfr/RMEbHJ3uDmPtBqKNNUpQ0eRwxIWDECGjVCv766061t956i5UrV5KersRuFdaz6ds3\nOe2jp0FaeV578btcZZMmTWLBggU5+fgUJcJQZA4vV2TgvKfJUrmQdk7LhAkTCEaOgdqL2Iwr9HsR\nXmgbn2vmeHR0dIHbFy7At99eZOtWNZJgDwpzxH5HJsf7HZltOHs9e9HCd8BlZPBkNtWAbcCfyGHO\nYmvMTJz+DT3/mIHh8GtMnHk/b000p0ahKKucjD3GgXqQXF+KmUdGwtWr4OsL9957p16HDh34/vvv\nVfyOokg0+3kv4w/DVL8RVHTL3V/Ro0cPIiMjVXbzkuUsMofY88B7ZhYtFEdr0lJbq+nSpQv+WN8b\nVhRiQjJzae127ty5wG3pkHXg7Nl3SsAyRUEct1zFLN2RCe9MHbFPgDeN61OQPyRzWDVF9HbabVG3\nyVoB/qJW1UeEWLOmSNNMFSWPuc/dmu/i6Wc9BMGIb3+dKYQQ4tQpIQYOFGLcOJuZqHAATvV7vHZN\nTvmvWFFcuZgmnnxSiOnTHW1U2Qb7K7i4IiWOGgFumE9fUQO4D/iA3I6YlrYAYnPITGvfuPWLFUQc\n/EUQjKhYSycSExNz9t93330Fbp88eV0MH/6F+PrrM+LXX38VR48ezalnaftuBxumrygqe5EZj00J\n4k5m/mWATTKxlq9YnrPHenF/s2qcv7kHhgyBsWPJUvIPZZvUVCIqyeGgli2kmHKbNrB2rYxpAMjK\nylLB+YriYVShoFkzLt+syOrVsHq1Qy1SFB9TrclM7mhNmnIVORqUVztNS1vAOq3Jhg2H4UU7jlFT\nc5ui0mi4Wy4ppSNHjhS43batFytWjOPFF1vxyy+/cPjw4Zx6lrYVlrG3I2aOWsjhSoyvtWx1YM8q\nnhyODMV97udQvjw7vv6aJ2rXJiNkLcJg+UHs7e2NTqdTSwkvWnXVzKE/G8FZY8xpC982ZuuEhITQ\nunVrJWmkKDrZOlk6HdWry9X4+DvpC3/55Rf69+/PsWPHHGOfoiiY05rUmm5ec1trtCbffVfGiDXC\neTsQHn/8cTp27Ghxe8uWLTz//PMcOXIEgNjYWO65556cepa27yYKmzWZwp0uNXcg2aRMAFVscP5C\nu+2Cg4Nz1jVJQ4CcIjdhAgQE8Fm3brySnMy04TFc/+9nDJhym77Dp+Di6mq2aWJiopXmK2yFOVkI\nLd9/5LGtpLlB/Qx3vCqaDzd85plnqF+/vkop4OQU9RooEbLluc6epXaVVP7730o88sidGblRUVEM\nGTKEDh06OMa+MkAxpGGeBLYg1X7eBToCMwFLXnFxusk1t7VG4mj06C7wgn1zfWVrTTY0aNeaNCUo\nKEjT9u7du9m7dy/ffvstIPWXTSdKFbYdFhZGo0aNaNasmaZtZ8JeEkfFpRG5Y8TOIrMSA/gat81R\n7LHZrPR0kTJ3sWjqGiW8X/IR1EC0GVJJbFr5njDo9cU+vsJ+aP3+l0wOEAQjBr/f2s4WKUoaW9wD\nbErnzkKASP5qfqHVDAaDMChdrWKDdmcn+/nSDdgF9EVmu7dEF6QDl800Cg66n0HuGDGtba2SODK+\ncbvGiJWkxFFmZmbOul6vF6mpqZq2hw0bJlasWJFTVtj27t27xU8//SSuXr1qt/dRHHCCGDFzbABG\nGtdHAuvsdSLXChXwmPACBy9W5BnXJpTzhNMtU+nz5wzufaUybVsP42rUNXudXlEC1I78l35R8GiT\nXuj1MHSoFPnOnhi5b98+MjPzhncoFNYjJk5kegDUuzCBo6e2FFhv1qxZvP/++yVo2V1Pds6FvsA3\nSLkhLdpSR4F7uaM1+RTy+WSOvIkHrWmrmWHDhuEPXCrugWzMiRPwwguwcKF17UxHIVxcXHB3d9e0\n3atXL5o2bZpTVtj21q1bWb58OfHx8dYZdxcRgrymMpDj6c8h01dsx3L6Cpt7pknXYsXHHzwu6r7u\nIri/q4CeogJp4p0260Tqxo0iSwn0Og2avv+0NCHc3ITQ6YS4eVNkZgqxdq2cLWkwCJGVlSUCAwNF\nw4YNRVpamv2NVtgUe9wDioVeL8a/WE8QjKg/pbyI+fdMTtHBg0KkpAgRFxcnWrVqJWJjYx1oaNkA\n7T1ivwKLgfPG50lFQOv43uNAFDLwfppxnzmtyZvIiWfZWpMFtc2LVT1iBw4cEOEgUp2sR+z8eSEW\nLxYiLMy6U5UkYWFhYvHixZq3SworrmOnxG4fTObtNPHCM6+LFt5fCB16MZO3xacgJlSqJMRrr4nk\n/bvU0KWD0fT9HzwobygtWxZa7eLFizaySlGS2PMeUFTS/zkvHnypfI4zdvavA+Kvv4SoUUOI33+X\ndbKysnLq//XXX2KcyqNSJND+APMABiF7qECGvPSy/SOpSIjTaxdpfs9DhwrxCOEiFl+ncsRKA4sW\nLRJjxozRtB0ZGSlOnz4tMjIy7G4XTjo06XDKla/I4h8+JSJxHH+H/8sLEyuzz8OD/qmpMHcu4z/x\nx7NJII8+FsSBzYsx6FUCUKfkkDEM5IEHCq1Wv379EjBGcTdQoV4jNr16mK6Xy/OPewadlz7I3r2r\nmTcPsieOuZpMBpo+fXouvT81TG4XaiN7xf4CApDB+06TP+HfDO3hL4cOwW78SaeiHS0qmzz66KOM\nHj1a0/bYsWMZOnQoN27c4MSJE7kmDVjavtuwu6dqikGvF4aDB4V+wqvinpfdBLoagqcbCoIRtd9w\nEV171BTHv50v9LfUEFdJoOn7HzhQ/rP75pt8RZs3bxZffPGFSEpKsoN1ipKgpO8B1pB87qwY9KKX\nqP4mIsbHTYj33xciT2hDTIwQ0dEx4tatWzn7+vfvLzZs2FDS5pZK0N4jdhKZAeAeZMjLp8AmuzyV\nrMeqhK4eHkMFPCL2U99uPWK3Tv0u9tVHHOvSyNqvpExyzz33iD///FPztrWgesS0o3NxQffAA7jM\nnSLPat8AAB7cSURBVMeZT5KY8MI4Xq3vRcNkV+JdDRz47QrVxr5GE894BtY5wIuPvEv63zGONvvu\nxWCA7CnCAQGkpOQu9vHxYefOnaxWWTcVdsCzcTPWfB7LkZtP0fBaJkyfDh06wP79AGRmQs+eEBTU\nkC1bKmEwQEJCAidOnCAwMBCQ0/XnzJlDamqqI99KWcAAZAEDkVrIbyCHJ7WgRaZovrH8JFIpJpsY\n4BRSecYmPXBz507gc27QjCu2OJxZLqRe4qHnYXhXZ5sS4BjatWtHhQoVLG5nZGSQkZHhCBMdSnGc\nXJth0OvF7g3firH/10kcaTbc+AckSrhQW+hB3GzXXLz6Rgfx0TujRFrydUebW2aw9P2nHD0gnuuP\n+J9/NXErxSCqVhWiZ08Zv68oGzjLPcAiO3cKcc89smdCpxPipZfE2SM3RcOGclf16kJkz9I3jUk5\nduyYaNSokdAb41HT0tJEVFSUA96Ac4L2HrFDwHDgDGBM+MYZDe20yBT14U7v2gPAQZOy88jJZ4Xh\ntBJHzSeW19zm+HEhRo8WYsEC695KWSEpKUm4ubkJb29vq9ui4TpWGS4toHNx4eF+z/Nwv+cBuHAg\nlq+C9/Hn6UdwSdrIzttnmR8H7D7OjLjfqXl4AmP+L5T72gzgsUGj72R8VNiUfeHLWNoBTqfrcNmg\n4+ZNSE6GihVlT4NOfe6KkiIgAE6dgv/+Fz7+GMNXixiXtYSRk5/E2/AdCDeyZ+m7ubkB8unp6enJ\nvHnzcHGRAxNbt27ls88+y0kGmZGRgZubm7qWLTMKGAv8F+kc+QH/09DOVKYI7sgURZrUMZXkO4Sc\nlWmqDnNXfDkXLsC330JQELz8sqOtKXkqV65s194wNTRpJQ261uXDsOcIvfQjJCbSfM4yhmQ2o0Fz\nN26f78M/lZJ459gmxk56ERo2hOee49j7X3Pk16LqpivMseXcVgACa3bm9Gnp744YAcnJyTRt2pT3\n3ntP6UsqSg53d/jgAzh+nN2Pt2Bn3QzeT/wfX8VXo91D+YfHZ8+GzZvvzZWV/PLly4wYMSJn+4sv\nvmDSpEk52+p6LpA/gFeQ6ZIAzgEfaWinRaaosDoCmYrpKPBCQSexRmvSWfOIKeyL6hErDuXL07zP\nCFb3kTfPM4cj2LF9OT9sq0ZghTT4+x/4/nvGc56DxHKPmzdPBaymxsN/8Gjv0bTs1N3Bb6B0Im7d\nYkP58wD0e2QMD3WEsWPBy0v+c/n555/ZsWOH6klQlDytWxOw4TQ750/ipZiFRFVLocemp/hP+Fxm\nj99AdQ8fhICvv84vGv7CC7mf5YcPH2bIkCE525MnT6Z169aMGjUKUD2/JjQFPgRaIuX4QDpJfhba\nafVsC/qQuyF9phrANmSs2d68lZasCYPj0YBliaMJEyaQ/uOPFF191z60aweLF8u+hbsRIUTOjOfy\n5QvPFeysEkdFxbaDvCWNXi/EsWNCzJkj7qsaJNwJEyBE5279Ba0Q9Ee0nFhBvDyljZj6yuvi9JFT\njrbYqSjs+//jxwWCYITPtHIiS59VYD1F6aa03wPSY/4W77/YXFR4B0EwY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"text": [  "0x4936310>" 0x7ff8b5284a10>"  ]  }  ],  "prompt_number": 14 15  },  {  "cell_type": "markdown", 

" ode.plot_params([ax11,ax21,ax31,ax41], label='$h={0}$ AU'.format(h), \n",  " bins=np.arange(0,4.,.5), color=c, linestyle=l, linewidth=2)\n",  "\n",  "ax21.legend(fontsize='medium')\n", "ax21.legend(prop={'size':'medium'})\n",  " \n",  "for h,c,l in zip([0.5,2,5,10], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n",  " pexp = ExpPres(5e-4/h**1.5, h, p_inf = 5e-6)\n", 

"ax4.set_xlim([0,5])\n",  "set_aspect_equal(ax2)\n",  "#set_aspect_equal(ax21)\n",  "fig.savefig(plotdir + 'P_ext/P_ext.png')\n", 'P_ext/P_ext.png', dpi=600)\n",  "fig.savefig(plotdir + 'P_ext/P_ext.eps')"  ],  "language": "python", 

{  "metadata": {},  "output_type": "display_data",  "png": 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1Sid5GcOgy/VaYMynQqHg5ZdfJjAwkBs3bjBp0iQiIyMLNLj+/fdfUlNTAan+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\nLfj4+GDmzJmIiIiQGbawM5idn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ffErG8kS8jNt37px01rAXM2bMUJ5pdmBq8FTKFivL2BZjHTNg06Yy4GO4FntOhcLJLFoEX38N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"text": [  "0x56462d0>" 0x7ff8b52ea6d0>"  ]  }  ],  "prompt_number": 15 16  },  {  "cell_type": "code", 

"\n",  "#axes[1].plot(np.sqrt(ode.R0(ode.z)**2 - ode.z**2), ode.z, 'k', label='maximum radius')\n",  "axes[3].set_ylim([0, None])\n",  "axes[0].legend(fontsize='medium', "axes[0].legend(prop={'size':'medium'},  labelspacing=0.2)\n", "axes[2].set_xlim([0,1000])\n",  "axes[0].set_ylim([0,52])\n",  "axes[0].set_xlim([3e-6, 3e-3])\n",  "set_aspect_equal(axes[1])\n",  "\n",  "fig.savefig(plotdir + 'v_infty/v_infty.png')\n", 'v_infty/v_infty.png', dpi=600)\n",  "fig.savefig(plotdir + 'v_infty/v_infty.eps')"  ],  "language": "python", 

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vXgAcPXqU6tWrc/nyZa5evUrPnj11cq85YWgIX34JW7YoDaGc2Lp1K+Hh4VSs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\nA92rtkE/svKKAAAAAElFTkSuQmCC\n", "iVBORw0KGgoAAAANSUhEUgAAAmIAAACeCAYAAACRmWatAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njYaZLRgqjljZw1GbHPJwNzVFXN20Qax8PER0r3JYaBgphtFdCBCTe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"text": [  "0x44d19d0>" 0x7ff8b5284d90>"  ]  }  ],  "prompt_number": 16 17  },  {  "cell_type": "code", 

"\n",  "#axes[1].plot(np.sqrt(ode.R0(ode.z)**2 - ode.z**2), ode.z, 'k', label='maximum radius')\n",  "axes[3].set_ylim([0, None])\n",  "axes[0].legend(fontsize='small', "axes[0].legend(prop={'size':'small'},  labelspacing=.1)\n", "axes[0].set_xlim([3e-6,3e-3])\n",  "axes[2].set_xlim([0,None])\n",  "axes[0].set_ylim([0,52])\n",  "\n",  "set_aspect_equal(axes[1])\n",  "fig.savefig(plotdir + 'dot_m/dot_m.png')\n", 'dot_m/dot_m.png', dpi=600)\n",  "fig.savefig(plotdir + 'dot_m/dot_m.eps')"  ],  "language": "python", 

{  "metadata": {},  "output_type": "display_data",  "png": 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HTz/9VJhqJDk5WeQisk0hSq20H34ANm6knplmagosXgx8/LFUJDLIEZm+h1+9ejV27NgB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\nAAAASUVORK5CYII=\n", "iVBORw0KGgoAAAANSUhEUgAAAmcAAACeCAYAAAB3sK3pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"text": [  "0x3e583d0>" 0x7ff8b4602410>"  ]  }  ],  "prompt_number": 17 18  },  {  "cell_type": "code", 

" bins=np.arange(0,3.,.25), color=c, linestyle=l, linewidth=2)\n",  "\n",  "axes[3].set_ylim([0, None])\n",  "axes[0].legend(fontsize='medium')\n", "axes[0].legend(prop={'size':'medium'})\n",  "axes[2].set_xlim([0,None])\n",  "axes[0].set_ylim([0,44])\n",  "axes[0].set_xlim([3e-6,3e-3])\n",  "\n",  "set_aspect_equal(axes[1])\n",  "\n",  "fig.savefig(plotdir + 'T_0/T_0.png')\n", 'T_0/T_0.png', dpi=600)\n",  "fig.savefig(plotdir + 'T_0/T_0.eps')"  ],  "language": "python", 

{  "metadata": {},  "output_type": "display_data",  "png": 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Sq52idxi6LES96m0oGHsRq+Q4JEnSuTafQP+IkiDq2boV/rcynrjW9blnH001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\ngiCIJ1BiRBAEQRAE8YT/AyZPCGuTdJMZAAAAAElFTkSuQmCC\n", "iVBORw0KGgoAAAANSUhEUgAAAmcAAACeCAYAAAB3sK3pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKdGXhrGuxDrA7bBSLBx1RvzPaNMGFi8uq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"text": [  "0x4ff3ed0>" 0x7ff8b45ada90>"  ]  }  ],  "prompt_number": 18 19  },  {  "cell_type": "heading", 

"\n",  "# Put some output values in a list, so I can use them for plotting again in the next cell.\n",  "output=[]\n",  "def outdict(ode):\n",  " return {'rho': ode.stellar_wind_density(ode.res, ode.z),\n",  " 'vshock': ode.v_shock,\n",  " 'z': ode.z,\n",  " 'massflux': ode.massflux,\n",  " 'm_dot_sun_yr': ode.m_dot_sun_yr,\n",  " 'L_X': ode.L_X}\n",  "\n",  "ode = StellarWindShock(p_fiducial, v_fiducial, mdot_fiducial)\n",  "ode.solve(omega_fiducial, z)\n",  "ode.plot_params(axes, label='fiducial', bins=np.arange(0,6.,.5), color='r',\n",  " linestyle='solid',linewidth=2)\n",  "output.append({'rho': ode.stellar_wind_density(ode.res, ode.z),\n",  " 'vshock': ode.v_shock,\n",  " 'z': ode.z})\n", "output.append(outdict(ode))\n",  "\n",  "ode = StellarWindShock(p_fiducial, 8e7, mdot_fiducial)\n",  "ode.solve(omega_fiducial, z)\n",  "ode.plot_params(axes, label=r'high $v_{{\\infty}}$', bins=np.arange(0,6.,.5),\n",  " color='g', linestyle='dashed', linewidth=2)\n",  "output.append({'rho': ode.stellar_wind_density(ode.res, ode.z),\n",  " 'vshock': ode.v_shock,\n",  " 'z': ode.z})\n", "output.append(outdict(ode))\n",  "\n",  "pexp = ExpPres(1e-6, 5, p_inf = 1e-8)\n",  "ode = StellarWindShock(pexp, v_fiducial, 4e15)\n", 

"ode.plot_params(axes, label=r'low $\\dot M$'+'\\nlow $P$', bins=np.arange(0,6.,.5),\n",  " color='b', linestyle='dashdot', linewidth=2)\n",  "print ode.m_dot_sun_yr\n",  "output.append({'rho': ode.stellar_wind_density(ode.res, ode.z),\n",  " 'vshock': ode.v_shock,\n",  " 'z': ode.z})\n", "output.append(outdict(ode))\n",  "\n",  "pexp = ExpPres(1e-4, 2., 1e-5)\n",  "ode = StellarWindShock(pexp, v_fiducial, mdot_fiducial)\n",  "ode.solve(omega_fiducial, z)\n",  "ode.plot_params(axes, label='shallow $P$', bins=np.arange(0,6.,.5), color='k',\n",  " linestyle='dotted', linewidth=2)\n",  "output.append({'rho': ode.stellar_wind_density(ode.res, ode.z),\n",  " 'vshock': ode.v_shock,\n",  " 'z': ode.z})\n", "output.append(outdict(ode))\n",  "\n",  "axes[3].set_ylim([0, None])\n",  "axes[1].legend(fontsize='medium')\n", "axes[1].legend(prop={'size':'medium'})\n",  "axes[2].set_xlim([0,None])\n",  "axes[0].set_ylim([0,43])\n",  "axes[0].set_xlim([7e-9,5e-3])\n",  "\n",  "set_aspect_equal(axes[1])\n",  "\n",  "fig.savefig(plotdir + 'result/result.png')\n", 'result/result.png', dpi=600)\n",  "fig.savefig(plotdir + 'result/result.eps')"  ],  "language": "python", 

"text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "6.5763e-11\n", "6.5763e-11"  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  }, 

{  "metadata": {},  "output_type": "display_data",  "png": 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0dGRkZCAjIwPpSkxk+mvQSnTd37XU9uD9A6XpxFF2GCLxzzJEhPv37+PIkSM4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\nNBQ9e/ZEcnIyUlJS4ObmBiLC3bt3sWjRIty4cQNGRkb47bff8Ndff2H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c5F3JQP427cuDFF/cLQ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B9Y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\nq7xtN+7YhbMbovJwUw9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"text": [  "0x69fbb10>" 0x7ff8b4bd4690>"  ]  }  ],  "prompt_number": 19 20  },  {  "cell_type": "code", 

" ['fiducial', r'high $v_{{\\infty}}$', r'low $\\dot M$, low $P$', 'shallow $P$']):\n",  " ax1.plot(model['z'], model['rho']/ode.mu/ode.m_H, color=c, linestyle=l, linewidth=2, \n",  " label=lab)\n",  " # Formula for cooling distance from \n",  " # Raga et al. (2002), ApJ, 576, L149\n",  " ax2.plot(model['z'], 20.9*1e5/(model['rho']/ode.mu/ode.m_H)*(model['vshock']/5e7)**4.5,\n",  " color=c, linestyle=l, linewidth=2, label=lab)\n",  "ax1.set_ylim([20,1e7])\n", 

"ax1.set_ylabel('Pre-shock\\nnumber density (cm$^{-3}$)')\n",  "ax2.set_ylabel('cooling distance (AU)')\n",  "ax2.set_yscale('log')\n",  "ax1.legend(fontsize='medium', "ax1.legend(prop={'size':'medium'},  labelspacing=0.1)\n", "fig.savefig(plotdir + 'rhocool/rhocool.png')\n", 'rhocool/rhocool.png', dpi=600)\n",  "fig.savefig(plotdir + 'rhocool/rhocool.eps')"  ],  "language": "python", 

{  "metadata": {},  "output_type": "display_data",  "png": 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q1YOLiwsiIiJw/fp19O7du0KZRkZGSE5ORnFxMRiGwZ07d+Ds7KwRnaKjo/Hs2TOcPHkS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\n", "iVBORw0KGgoAAAANSUhEUgAAAOUAAAFJCAYAAABkYOo3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"text": [  "0x75137d0>" 0x7ff8b542b110>"  ]  }  ],  "prompt_number": 20 21  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "for model in output:\n",  " print model['L_X'].sum(), (model['L_X'][model['z'] > 5]).sum()"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "9.51885046583e+29 3.19185697989e+29\n",  "7.45235906629e+30 4.72072147075e+30\n",  "1.4969621973e+28 9.62583644332e+27\n",  "1.6134028071e+31 1.61340154953e+31\n"  ]  }  ],  "prompt_number": 22  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "ode = StellarWindShock(ExpPres(5e-5, 2, p_inf = 5e-7), 7.e7 , mdot_fiducial/10.)\n",  "ode.solve(omega_fiducial, z)\n",  "fig, axes = StellarWindShock.setup_plot()\n",  "\n",  "ode.plot_params(axes, label='check', bins=np.arange(0,6.,.5), color='r',\n",  " linestyle='solid',linewidth=2)\n",  "output.append(outdict(ode))\n",  "set_aspect_equal(axes[1])"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "Excess work done on this call (perhaps wrong Dfun type).\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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kWhF7BvgPGkf/DjgNBeDrCXwFHOrsFx8NGsB552no4a234PjjFT5h7Fhtb7EF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\nqSnrm0QDJV4DLCK+4+hgZMX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"text": [  ""  ]  }  ],  "prompt_number": 106  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "ind = ode.z > 5\n",  "histo = plt.hist(ode.v_shock[ind]/1e5, bins=[250,350,450,550,650, 750,850],weights=ode.massflux[ind])\n",  "print ode.L_X[ind].sum()"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "1.49627749635e+29\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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"text": [  ""  ]  }  ],  "prompt_number": 107  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "\n",  "def model_mass_flux(v, n, d):\n",  " return c.m_p * n * v * 1e20*u.cm**2 * (d/10/u.pc)**2\n",  "\n",  "distance = 130*u.pc\n",  "n = 1e10/u.cm**3\n",  "\n",  "for i in range(len(histo)):\n",  " print (histo[0][i]*u.g/u.s / model_mass_flux((histo[1][i]+50)*u.km/u.s, n, distance)).decompose()"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "0.438184706883\n",  "0.112765234197\n",  "0.00257850305119\n"  ]  }  ],  "prompt_number": 108  },  {  "cell_type": "heading",  "level": 3,  "metadata": {},  "source": [  "Appendix: Interpolating $L_X$ of a shock as a function of the pre-shock speed"  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "import numpy as np\n",  "import matplotlib.pyplot as plt\n",  "\n",  "from astropy.io import fits\n",  "from astropy.table import Table\n",  "import astropy.units as u\n",  "import astropy.constants as c"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 23  },  {  "cell_type": "code",  "collapsed": false,  "input": [], [  "# shock.fits can be downloaded from \n",  "# http://thedata.harvard.edu/dvn/faces/study/StudyPage.xhtml?studyId=88638&tab=files\n",  "spectra = Table.read('shocks.fits', hdu='SPECTRA')\n",  "energies = Table.read('shocks.fits', hdu='ENERGIES')"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 20 24  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "spec_allelements = np.zeros((len(spectra), len(spectra['INTPSPEC'][0])))\n",  "for col in list(spectra.columns[1:]):\n",  " spec_allelements +=spectra[col]\n",  "x_ray_flux = (((spec_allelements/u.cm**2/u.s * energies['ENERG_HI'] * u.keV).sum(axis=1) \n",  " * 4* np.pi* (10.*u.pc)**2).to(u.erg/u.s) / (1e20*u.cm**2))\n",  "\n",  "n = spectra['PARAMVAL'][:,1] * u.cm**(-3)\n",  "v = spectra['PARAMVAL'][:,0] * u.km/u.s\n",  "dotE_kin = 0.5 * v**2 * (v*n* c.m_p)\n",  "\n",  "xfrac = (x_ray_flux / dotE_kin).decompose()"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 25  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "contours = plt.contour(np.log10(n[:5].value), v[::5].value, xfrac.reshape(8,5))\n",  "plt.clabel(contours)\n",  "plt.title('Fraction of kinetic energy radiated in X-rays')\n",  "plt.ylabel('pre-shock velocity [km/s]')\n",  "plt.xlabel('log pre-shock density [cm$^{-3}$]')"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "pyout",  "prompt_number": 26,  "text": [  ""  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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Y8BRUbZRrW76CWZfATb3hH+fDzrUBfz97Cf52Bjz5Y9i0PNhPRUlzIvXa+gVw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\nsr2zoEKiKIrSTuIhJNFM+dk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"text": [  ""  ]  }  ],  "prompt_number": 26  },  {  "cell_type": "markdown",  "metadata": {},  "source": [  "For a wide range of densities and pre-shock velocities the total fraction of the kinetic energy htat is radiated away in the X-rays is actually independent of the density. I (Moritz Gunther) have tested that with simulations for densities down to $10^4$ or so, but I did not calculate a complete grid and I did not include those spectra in the XSPEC file that I use here for plotting. Where there is some dependency, it comes from density-densitive lines, that are only present for certain ranges of pre-shock densities. \n",  "\n",  "With this knowlegde, we will now pick one density and fit an interpolation formula."  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "plt.plot(v[0::5].value, xfrac[1::5].value)\n",  "plt.xlabel('pre-shock velocity [km/s]')\n",  "plt.ylabel('Fraction of kinetic energy radiated in X-rays')"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "pyout",  "prompt_number": 27,  "text": [  ""  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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PWAOsdW5rchlUsYhEbCHd//5nYxJKEiKSj9wMciwA2gFf5TiWVApuMLu8HHr1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\nAbZ1OQKef00NAAAAAElFTkSuQmCC\n",  "text": [  ""  ]  }  ],  "prompt_number": 27  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "print v[1::5]\n",  "print xfrac[1::5]"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "[ 300. 400. 500. 600. 700. 800. 900. 1000.] km / s\n",  "[ 0.02189884 0.09768738 0.24382451 0.39923559 0.5086169 0.57053346\n",  " 0.61483439 0.65054331]\n"  ]  }  ],  "prompt_number": 28  },  {  "cell_type": "markdown",  "metadata": {},  "source": [  "These value are used above to initialze an interpolation function that gives the fraction of the total kinetic energy (pre-shock) that will be radiated in X-rays (0.3-3 keV). They are copied by hand into the cell above to make sure that the main part of this notebook does not depend on any additional files."  ]  }  ],  "metadata": {}