Hans Moritz Günther added figure /jet_recol_shocks.ipynb to article  almost 10 years ago

Commit id: 1b5814e803cf44f58f65848a9faed758d336ac05

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{  "metadata": {  "name": "",  "signature": "sha256:a0cb95c78886c0bd6d22c5e817c5057e72ab95b0d0e43587941ab8444c80e39c"  },  "nbformat": 3,  "nbformat_minor": 0,  "worksheets": [  {  "cells": [  {  "cell_type": "heading",  "level": 3,  "metadata": {},  "source": [  "Setup, load modules, etc."  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "import numpy as np\n",  "from scipy.integrate import odeint\n",  "from scipy.interpolate import interp1d\n",  "from matplotlib import pyplot as plt\n",  "\n",  "from stellarwindshock import StellarWindShock, HotStellarWindShock, ConstantPres, PowerPres, ExpPres"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 1  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "plotdir = '../figures/'"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 2  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "def set_aspect_equal(ax):\n",  " '''change x_lim so that aspect=equal\n",  "\n",  " In contrast to ``ax.set_aspect(adjustable='datalim')``, this function does not\n",  " center the data on the x-axes, instead, the left limit of the x-axis is \n",  " always 0.\n",  " \n",  " Parameters\n",  " ----------\n",  " ax : axis instance\n",  " '''\n",  " figW, figH = ax.get_figure().get_size_inches()\n",  " fig_aspect = figH / figW\n",  " box = ax.get_position()\n",  " ax.set_ylim([0, None])\n",  " ax.set_xlim([0, ax.get_ylim()[1] / (figH * box.height) * (figW * box.width)])"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 3  },  {  "cell_type": "heading",  "level": 3,  "metadata": {},  "source": [  "Test the code"  ]  },  {  "cell_type": "markdown",  "metadata": {},  "source": [  "In order to check that the equations that are developed in the paper are correctly implemented, we solve them here for a simple test problem."  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "#ode = StellarWindShock(lambda z: 1e-7*(20-z+1), 5e7, 12e14)\n",  "ode = StellarWindShock(ConstantPres(1e-6), 1e7, 12e14)\n",  "z = np.arange(0, ode.start(), .01)\n",  "ode.solve(ode.start(), z)\n",  "ode.plot()\n",  "fig = plt.gcf()\n",  "fig.axes[2].set_xlim([0,110])\n",  "fig.axes[0].set_xlim([-1,1])"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "pyout",  "prompt_number": 4,  "text": [  "(9.9999999999999995e-07, 1)"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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QdJzqlvoEYFcs0/UnYCdn/cfAK8D55N7ltyOwBvuRDHAiqx4rIhnq3bsjq1Y9w4EHXk6v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\ngCnY2GTLXUs6oV/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"text": [  ""  ]  }  ],  "prompt_number": 4  },  {  "cell_type": "heading",  "level": 3,  "metadata": {},  "source": [  "Evaluating the position and properties of the shock front"  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "z = np.arange(0,15., .01)"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 5  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "pexp = ExpPres(1e-7, 10., p_inf = 1e-7)\n",  "\n",  "ode = StellarWindShock(ConstantPres(1e-7), 5e7, 12e14)\n",  "ode.solve(4, z)\n",  "ode.plot()\n",  "fig = plt.gcf()\n",  "ax = fig.axes[1]\n",  "ax.set_xlim([0,15])"  ],  "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": "pyout",  "prompt_number": 6,  "text": [  "(0, 15)"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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NGyVE0TPPRKzIOsgs1S/ATsQOuQ4yZq0PkK8eEpR7J2LI/x5wi1ea5bjdXXg6FzeTN+aE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\nvBtiGbOQ2H7enXGwNmAV77r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"text": [  ""  ]  }  ],  "prompt_number": 6  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "grid = np.mgrid[0:15:0.1,0:12:.1]\n",  "plt.contourf(grid[0,:,:], grid[1,:,:], ode(grid[0,:,:], grid[1,:,:]),[-1e3,-1,0,1,10,1e3],\n",  " colors=['b','g','y','orange','r'])\n",  "plt.colorbar()\n",  "#plt.plot(ode.sphereofwind(grid[1,0,:]), grid[1,0,:],'k')"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "pyout",  "prompt_number": 7,  "text": [  ""  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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"text": [  ""  ]  }  ],  "prompt_number": 7  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "pext = PowerPres(1e-7, 1e-6, 3, 5.)\n",  "ode = StellarWindShock(pext, 5e7, 12e14)\n",  "\n",  "ode.solve(1, z)\n",  "ode.plot()"  ],  "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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aSZPiUp1iAjNt2GwWxd+91k+GI5AfLH/S9uoloSv69LFaEiXZWLRIlLBkZ+HC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\nPhx+FjP46qMeMBYXw43fV+J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3FM5DOrdKHts8rSP1kOHOK5AOzzXkeBHyNuA5e2Qn8sZx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\niqIoiqJ48f/mOKti6W+YvgAAAABJRU5ErkJggg==\n",  "text": [  ""  ]  }  ],  "prompt_number": 8  },  {  "cell_type": "heading",  "level": 2,  "metadata": {},  "source": [  "Studies for a single parameter"  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "p_fiducial = ExpPres(5e-4, 2, p_inf = 5e-6)\n",  "v_fiducial = 6e7\n",  "mdot_fiducial = 6e17\n",  "omega_fiducial = 0.01"  ],  "language": "python",  "metadata": {},  "outputs": [],  "prompt_number": 9  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "ode = StellarWindShock(p_fiducial, v_fiducial, mdot_fiducial)\n",  "z = np.arange(0,50., .01)\n",  "\n",  "fig, axes = StellarWindShock.setup_plot()\n",  " \n",  "for i, (omega0,c,l) in enumerate(zip([omega_fiducial, 0.1,2, ode.start()], 'rgbk', \n",  " ['solid', 'dashed', 'dashdot', 'dotted'] )):\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",  "\n",  "axes[3].set_ylim([0, None])\n",  "axes[3].set_xlim([0, 5])\n",  "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', dpi=600)\n",  "fig.savefig(plotdir + 'omega_0/omega_0.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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aNHuaplDYn5QU6NsXliwBb2+ZPqJfPxo2hEGD6hEeHk6VKlWcbaWz+Y9xezHH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\naNQIGjSQzxVWETbEiOXEhuvYJXGqF+tsUq7fFiv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"text": [  ""  ]  }  ],  "prompt_number": 29  },  {  "cell_type": "markdown",  "metadata": {},  "source": [  "The starting point of the integration really makes a difference. If the radius of the stellar wind zone of influence is larger initially, the shock will encompass a much bigger volume, reach to larger heights and, at least for this presure profile, reach much larger velocities and thus X-ray temperatures."  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "z = np.arange(0,50., .01)\n",  "\n",  "fig = plt.figure(figsize=(8,5.5*0.66))\n",  "ax1 = fig.add_axes([.06,.14,.21,.42])\n",  "ax2 = fig.add_axes([.27,.14,.21,.42], sharey = ax1)\n",  "ax3 = fig.add_axes([.48,.14,.21,.42], sharey = ax1)\n",  "ax4 = fig.add_axes([.78,.14,.21,.42])\n",  "ax11 = fig.add_axes([.06,.56,.21,.42], sharey=ax1, sharex=ax1)\n",  "ax21 = fig.add_axes([.27,.56,.21,.42], sharey = ax11, sharex=ax2)\n",  "ax31 = fig.add_axes([.48,.56,.21,.42], sharey = ax11, sharex=ax3)\n",  "ax41 = fig.add_axes([.78,.56,.21,.42], sharex=ax4)\n",  "\n",  "plt.setp([a.get_yticklabels() for a in [ax2, ax3, ax21, ax31]], visible=False)\n",  "plt.setp([a.get_xticklabels() for a in [ax11, ax21,ax31, ax41]], visible=False)\n",  "\n",  "#ax1.set_title('External presure')\n",  "ax1.set_ylabel('Height (AU)')\n",  "ax11.set_ylabel('Height (AU)')\n",  "ax1.set_xlabel(r'$P_{\\mathrm{ext}}$ (Ba)')\n",  "ax1.set_xscale('log')\n",  "ax11.set_xscale('log')\n",  " \n",  "#ax2.set_title('Shock location')\n",  "ax2.set_xlabel('shock position $\\omega$ (AU)')\n",  "\n",  "#ax3.set_title('Shock velocity')\n",  "ax3.set_xlabel('$v_0$ (km s$^{-1}$)')\n",  " \n",  "#ax4.set_title('Post-Shock temperature')\n",  "ax4.set_xlabel(r'$T_{\\mathrm{post-shock}}$ (MK)')\n",  "ax4.set_ylabel('mass fraction per bin')\n",  "ax41.set_ylabel('mass fraction per bin')\n",  " \n",  "for h,c,l in zip([0.5,2,5,10], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n",  " pexp = ExpPres(5e-4, h, p_inf = 5e-6)\n",  " ode = StellarWindShock(pexp, v_fiducial, mdot_fiducial)\n",  " ode.solve(omega_fiducial, z)\n",  " 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(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",  " ode = StellarWindShock(pexp, v_fiducial, mdot_fiducial)\n",  " ode.solve(omega_fiducial, z)\n",  " ode.plot_params([ax1,ax2,ax3,ax4], label='$h={0}$ AU'.format(h), \n",  " bins=np.arange(0,4.51,.5), color=c, linestyle=l, linewidth=2)\n",  "\n",  "ax3.set_ylim([0, None])\n",  "ax2.set_xlim([0,None])\n",  "ax1.set_ylim([0,49])\n",  "ax1.set_xlim([3e-6,3e-3])\n",  "ax4.set_ylim([0,.89])\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', dpi=600)\n",  "fig.savefig(plotdir + 'P_ext/P_ext.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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BXnoJzJgdLOKE618PkfOZV4eNn4GPiOu00O+3q9nOYuPejL/J8ZvH8XLzynQw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\nT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M9Md+1E1BD3PTkvofrBlzkZdQbeRKEb/3N6XEf1khFbogZUB40N5/ZFnYxG5RglZCTF\nBM0NQ/EHYaLBsquRa7STIPByPtXjzKtRojPqxyMIem4X/MUZG+kQ+QH+rdyp8mP1zke95ySKeF9F\n0w7v36jNmWjIyzBalpOBH+a4PilgLm46dbhhNBrFRhxDsKLoaNSTCMuzqbyGURt/xmLckKNhGJs5\nFmPUGFNQ8PNK5PFZ444fg1ySY0KfG5HLcn8UYNtFZZBsNAYEghgjUA/xFOQ2PQstOvg81bEGFn9g\nGLXpdJ/ze1QLwzCMzYhbUAPH3+/mUoKA6A73FxewNh0F5TbClWh2g2EYhmEYRik4FHmT9kBbLRyE\ndh8eC4xAM1FGxdzXaEyDxR8YhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\nhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmH0OP8HVX/xFsXEq7MAAAAASUVORK5CYII=\n",  "text": [  ""  ]  }  ],  "prompt_number": 11  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "pexp = ExpPres(1e-6, 2, p_inf = 1e-8)\n",  "\n",  "z = np.arange(0,50., .01)\n",  "\n",  "fig, axes = StellarWindShock.setup_plot()\n",  " \n",  "for v,c,l in zip([2e7,5e7,7e7, 10e7], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n",  " \n",  " ode = StellarWindShock(p_fiducial, v, mdot_fiducial)\n",  " ode.solve(omega_fiducial, z)\n",  " ode.plot_params(axes, label='$v_{{\\\\infty}}={0:3.0f}$ km/s'.format(v/1e5), \n",  " bins=np.arange(0,5.51,.5), color=c, linestyle=l, linewidth=2)\n",  "\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(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', dpi=600)\n",  "fig.savefig(plotdir + 'v_infty/v_infty.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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dUhs4ZFR/B7ll165M/jiGQ8HVWPF7DM/UzVuKL0v+v9byD+7UqRNz587lm2++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\nsXTtYd4DXJH4fTrwpdQ9m5FRpa+Jeb3cA2HwNb7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"text": [  ""  ]  }  ],  "prompt_number": 12  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "def mdotlatex(value):\n",  " '''Format number to nice string in LaTeX'''\n",  " latex_value = \"{0:1.0g}\".format(value)\n",  " if \"e\" in latex_value:\n",  " s = latex_value.split('e')\n",  " if s[0] == '1':\n",  " return '10^{{{0}{1}}}'.format(s[1][0], s[1][1:].lstrip('0'))\n",  " else:\n",  " return '{0}\\\\times 10^{{{1}{2}}}'.format(s[0], s[1][0], s[1][1:].lstrip('0'))\n",  "\n",  "\n",  "z = np.arange(0,1500., .01)\n",  "\n",  "fig, axes = StellarWindShock.setup_plot()\n",  " \n",  "for m,c,l in zip([6.5e16,6.5e17, 6.5e18], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n",  " \n",  " ode = StellarWindShock(p_fiducial, v_fiducial, m)\n",  " ode.solve(omega_fiducial, z)\n",  " ode.plot_params(axes, label='$\\dot M={0} M_{{\\\\odot}}$/yr'.format(mdotlatex(ode.m_dot_sun_yr)),\n",  " bins=np.arange(0,3.,.25), color=c, linestyle=l, linewidth=2)\n",  "\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(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', dpi=600)\n",  "fig.savefig(plotdir + 'dot_m/dot_m.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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PD2fTpk0MGjQIgPr161O/fn3d8rKzswkxZWgODrbfSfrGG2+4pIct9uzZQ506\ndQBo0qQJiYmJZGRkcPToUerVq0fz5gU+hYzX8LNDosKKlBSYM0f+x0amalp6YCkDfhlAxrUMWlVt\nxbWsa1Dw5v17g2Sgj5tlnaVvety0WHMQGRVSKHyCI+NsOOLxUhmwtNUvILFhDOW1d84Qv64s3849\nzUNV87cLuZmMjAxKlSoFSHLx1q1bk56efnPfrl27SEhIyFUmLCyMgQMH3tzWLCzDunXrcvLkScqW\nLUuE9UxTD/SwxeLFi+lpEYyrd+/eDB8+nHvvlRjDjoxDhSKQ2L8fypaFu+6CW24xRofp8dMZ8ccI\nbmg3GNBgAN/c+w3Fw1QOWyvGII5lU2wc04Bn/KuObZzFOVMobOHIOPvEtDyDuCkHFMlpyUBZUtJS\nkM49/+CsV8zdXrMNGzbwzTff0KhRI2rWrEnt2rWZNWsWZ86cITU1lYoVK9KwYUMaNmxoV8bFixeZ\nO3cu8fHx7Ny5kyFDhjBr1izi4+MZNcqed7h+PU6cOEGlSpUAMdqCgoKIioqifPnyrF+/npEjR96U\nM2TIEMaNG8eUKVPYtWuXTzzKNE1j56md1C9Xn9DgAAlA5QYLF0KPHhCiL16kwsd07gzJyZBhUKrK\nNclreGKhRGt4pe0rvNP5HYKD1MuNDXabPuPJPek6CDcnYfuCgfO7UWT9yZvbax5eQ2SxSAM1UhQk\n2gAPAkMtFl/j0AOi7oNfajT5Wpu6cJ1PvSwUeUlMTNSysrI0TdO0w4cPa5cuXdLmzJmT65wTJ05o\n9913n26Z1vdaz73v9l03jQloKw+u1H2dQOPqVU3r1Em8r+w4shZaCuv/Lzs7WxuxcIQ2Pd6x53NB\nB/0G1kCd+2zhSfomZ2UBNCbkXs6WCNK04OCby43gIO2uYWidny/r9J6cP69pW7Zo2r59zu/fiIUj\nNCagfb7Zudt3tcnVNCagJZ9P1vPTKFwAH74ofI9MsJyKdB+bF1/j8AubG+ZF+xb59KYq8rJv3z7t\nwoULN0NtHDhwINfx9evXa23atNH++usv3TKt77Weez9m2RiNCWjP/PmM7usEIteva9rGjUZrEXio\n/1/hBv2N2jad+6wJQTwwY4EwJOyT9aTe1kiGGxBjbKMLZQG0+XXQtlXMWa4HI/EwTMuNIDHagsY7\nr+9r12pa06aa9oyOR17WjSwtMytTy7qR5fTc05dOaycvntR1rsI1cNM40zMW1Axo4O4FFAWPrKws\nihUrxsiA0y3NAAAgAElEQVSRI0lJSbk51Gmmbdu2xMXF+VyPe+rew6S4Sfyx7w8+7fGpz6/nK0JD\noWVLo7VQ3LihhpbzGT2AnoiD2n/ICfQZjnhVOsOT9E16ygLQ5+OFOEwRcCML3tWXK9jsrXn9xnU+\n2fh5nuOhwaE83eJpQOXWzO/oMc52IpGQj/tYF0U+oV69euzeLdM9oqOjKV7cmInKd1S5g/Ai4Rw4\nf4BjGceoEmG4E7Ein3LlikzafuQRePVV8Jf/yrqUdVQKr0StMioXjxscR+ab3WP6NM81uwCM1lG+\nCmAZ2OsokiHAHo8Bf7pcNiTEidXver9H5o1MRi/J+xVLhJW4aZwp8jeOjLMFps9SyMTLzYA5IJYG\n9PWhXk7pWrMrlcMrUyVcNchG0KBBA6NVIDQ4lLbV2rJ4/2LWpqxlcKPBRqukiylToH59Y+NnKXJT\nvDgsWgS//+4/w+zHnT8y7LdhVIusxqbHN1GmeBnnhRSW/GNa5gGXkByXIEOOeoKOuGIV3YnEU2vr\natmdyaXwtrNmaHAoz7Z8Ns/+IiFFvHwlhVE4Ms4+8psWbtD40vNEnoHIAInirTCG7jW7k3413Wg1\ndPPnn/Dss/IivXevcaEaFHmpUwdeesn5eZ6iaRofbPiAMctlDnn3mt2JLKq89zxgKZJ15qJpuwQS\nWLaNk3LHkKTpZmKwnSy9MZLUvDs5eTX1luW9n7+lVqoE9LaXW9NVioYW5ZPun3gsR+F9rHNruouv\nY5DHAN8C5ZE3ja+QuQFlgJ+A6siY/UDypnEyzaWzzSefwPbt8Mwz0MRHoQBV4mX/oSfxeX7nxg1o\n1AgSE+HNN+H1143WKLApiHUgKzuLZxY9w7QtEnD+wy4f8nzr5wts8nJPcCHxeQJ5A8La2mdNKLAH\nyXZzHBkdGkzueWPVgJVI+qaNLpYF0Ba99Tfdx9kPwq3duMHK2qEQBJ0POK7vaWlw4ICkcaqlRsLz\nBS7U41zomXN2wca+dOBvJNHrQRvHzVxHxv4TkOHReGAZklpjGfA+4oL8imnRzXPPuXK2QmE8ISGw\nfDl8+SW89prR2iiMYNG+RUzbMo2iIUX57r7vGNBwgNEqFQQuIY5r5mDpzYErOsp5kr7JXtk8hJZP\nNKlkm6CgIDofQle+tvXroU8f6NVL4iN6i6ZfNuVoxlHin4gnJjLGeQGFz9FjnH2KTHz8wbT9AFAT\ncVWeAXRyUDbVtIB0OSciEyn7Ah1N+78BVuOicaZQ5EcqV4aJE43WQmFm1iyoVEnSwPmj86pP3T5M\n7DSRu265i3bV2vn+goWD54CfgROm7UpIEnM9uJu+yV7ZPGRFpOhUxTl7z+4F6rDP9OktVG7NwEOP\ncdaX3IH3vkJ6wsYAY124VixwO+KOXAEwh0w+adpWKBQKv5GWJj3w6emwZQs0a+af677R8Q3nJylc\n4W8kxlhdZPrMHvSF0sh3XA87A5UukBl5DG8aZ4rAQ49xdhl5C/nFtH0/cNW0rndCSClgLpKr03qY\n1K0gbetS1rH37F7aV29PnWjfVNKoqCg1F8RPREVFGa2CT/jkE+jfH2LUSEHA8emnYpjddZf/DDOF\nz6iLxOMsBjQ17fvWOHV8Q8Pm52B4HxrW7oXBARMUPkaPcTYEGdo0R7zbiEyOLI6MuTsjDDHMvgN+\nM+07CVREhjwrAadsFZwwYcLNdWsvl3d/WMuivw7yzsORvHqfb4yzc+fO+USuIi+rV6/O9XuD49/f\nkpS0FLae2Er10tVpWqmpzXOMIisLOnWCXbugmL44k4UWW15OeuuAOzz2GJw+DYP0DoC5yK+7f6Vu\ndF0aVWjkmwsUMDzwcpuATJNpCPyBBKddjz7jrDuSQzoE+C+SSN2SesBMZNTnNXJHMUgGMpAQHua5\naApFviAI+YNMttpvdgQAmWv2no2yDlMiNOixRgNNG/Tyal9nX1AYgLPf35IP4j7QmID23KLnfKiR\n+6SkGK1B/sSVOhBofPLXJxoT0Kp+XFU7d/mc0erkS9A/orITMa7+MW1XAJbrKKcnBVM5ZDb/24gD\nnCWHkMgDjtCmvf+Fw+95I+u6dtdQtM5D0c5ePntzuZZ1Lc+5C/Ys0JiA1mt2L6/ea5Vb03fgg/RN\nY5C3CFt5NDXgGR3y2yK9bNvJyXU2FjHGfkYiLiejP0ntTUqWkomL6RlqAmNhJ7xIOACXr182WBPb\nVKtmtAYKf6FpGq+ueJX34uR9c1SLUZQuVtpgrQo8V5DeqywkD+Ypcscgs4eeFEynTUsvOzKcznu5\nPcp5aqSVNeQz+v3om/t+HfAr/Rv0z3Ve6WKlqRbp/QdK/BPxZGvZRBePdn6ywi84Ms52mz7jLfZp\n5KTI0MN6wF68bY/io9e49TR/75tBRFU9I7OKgkyJsBIAXLp+yWBNICUFqlc3WguFEWRlZzF8wXBm\nJMwgJCiEGffMYOhtQ41WqzDwNxLuYjqwBQmtsUFHOVfTN1mjIT10NxAPz+m2TmpZtaRDIcFBwQze\nAYtrARZzb8NCwvKce2tEO5rceIxWJW3lWHcflVsz8NCTvmmW6bMkUukDglZdj/GTNprytz8NqAdg\nYaZkEXn4GW2cbdgAXbpIBoB33vFPaAaFa6SlwbJl4qTh7TRNKw6uYEbCDIqHFufXgb/Ss3ZP715A\nYYsgZCTmPPAFEncsgpwhTkd4GuG4LRK+oxwStzMJWOeOoDlzkQdGtuN5zjt2wNE5b5DaDunjUxRY\n9HQ7tUEmSoYjXcVNgCeAkT7Uyym3VbiNYbcNo221ts5PVhQKgoP8lBTRBrt3Q8+ecPkyHD8OmqaM\ns0Dk5En44ANYuhSm2+zncJ9utboxudtkWlZpSeuY1t4VrnDEn3AzfeUhF8rpTsFkB3NctdPA/5Bh\n0jzG2YTvv4eNklzAU6eW9u0hPt75eQrj8Gf6ps1I+IzfEY8VgF2IZ4wvMc2lUxRGXEnds+HIBj7c\n8CGtqrbi5bYv+1gz21y7Bv36SQLtH3+EUDXa7jG+St+kadKDVkCjtxQYXEh78w0STWCzi5fQm4IJ\nxCP0AjnemiUQh4ILyKjSUmCi6dMSTVu0CLp3t69FdrakDwkKknVFgcLd9E16jbMWyIR+s3H2D3Cb\nqxdzEWWcFWLyY17Fq1flGRuWd6qIwg3yYx1QeA8XGrU9QC0ghZypNxq5g6fbowc5oTS+Bt4ld/qm\nisictgggGzHGGiD5oueZzgsFZpvKWqPtmLaOW590kA1CGWcFGl/m1jyMjK0DFEG8NG3mEPM3y5bB\nunUwfDhUqWK0NorCjopjVnhIu5rGmctnqFVGZZ82kFuQYcyuuNH4mXCWvikV256fF3GeWB2A9cfS\nb465Bioqt2bgoWeSzgjgKcSz5RjSe/aUL5XSy59/ygtH0aJGa6IobKxaJYsif+DNDrirWVe558d7\naPN1G7ad2Oa8gMJX/Gr6nIGEw7BeAoIz19O9JistTeac7d/vNZGAyq0ZiOjpOTsNPOhrRdxhsnVo\nW4XCT4SFwX33wZo10KCB0doonNG9O5QrB5MmedbLnq1l8695/2Jtyloqh1emTHFnMUgVPiQEidpf\nF3ie3L1nGvCxEUpZUz3mjNdkrV8PffpAr16wcKHXxCoCEEfGmWXwWXN8M8ttPUFofc7c3XN5L+49\nfrr/J2pE1TBaHUUhoV07WL4c6tUzWhOFM/bvF+/MkiXhiy88k/Xe+veYmziXyKKRLB6ymOqlVVA7\nA3kAuBcx0sIN1sUu5aIzjFZBkQ9xNKwZjwT0i0ciqpjXzUtAMH/vfLYc38K4leOMVkVhEN/+8y1/\n7P2Dq1lX/Xrd227zfqwshfeZZ5q2ff/9UKqU+3LWH17P66teB2BO/zkqZ6bxJCExzh5DPCWtFz10\nN8nZR05KQUvqAX8BV8mbvslZWa8TGQlNm0LNmv64msJIHPWczbJYfxZxVw44xncczy+7fuGHTUup\nd2kVbwy902iVFH4kW8vmyYVPciXrCmlj0igW6v1Z+dnZ8OWX8MgjatJ/fuSllyQGnae/3d/H/iaI\nIF5p+4oKMBtY/OlmuRDgMyRbzTHEK3M+uR3ezgKjkB46V8t6HX/HOUs6k8TmY7kjlAQRxF233EWV\nCOWF50vyfTSmGlE1eKHuNN4e1oPxmeGULbmdkf31eFArCgJHM45yJesKFUpWILJYpNflX70Kjz0G\nc+bI/LIff/T6JRQ+JigIbvWCu9zo1qO5u8bd1I6u7bkwRSDgSW5NPWUBaFg88Ie+7eXWXH5wOaMW\njcpzfsfqHVn98Go/aVc48bVxNgOp1KcA8xhAGeAnoDo5Sc/TPLnIxH5D+eWrdexZ1oGnh1Xm/rsu\nUT7KcT4zRcEg6UwSAHWi6/hE/m+/iWFWqhQ8+qhPLqHIR6ihzAKFJ7k1dZdNP3GLrizsRmIvt2bd\n6Lo81Pihm9vnr54nW8vm8dsf95dqhRZHxtlFcnKPFUeC75nRkKB8zpiJOBZ8a7HvFSQP2fvIOP0r\npsVtgoODSFjYhub3rWXgfcUpH3WHJ+IU+Ygtx7cAcHvF252c6R6DBsGePXDvvTLHTKFQBBwDgcVA\nBvA60BR4C9jqpJwnAVZ0l/16yX+JTF0OeJ6+yd90qdmFLjW7GK1GvsJb6ZscGWceTJ29yTog1mpf\nX6Cjaf0bYDUeGmcAxYqEsvOPDp6KUeQzzPMhWlRp4RP5QUEwfrxPRCv8yPXrKnNDAeZ14GegHZKK\n6UNgGs57wTzJram77OThDzhO32RG06BvX4enpF0vyYGrVYgc/gC1HmiuU1WFP7E2wCdO1Oubkhsj\n5pxVAE6a1k+atn3G8ePwf8Ov89ikhdxTry8hwSG+vJzCz9xb715KFinptUTTW7eKN5SiYLB9O3Tp\nArVrS4woRYHkhumzNzAdWIj0nDljC1Ab6UA4DgxCcmvawjoDgStlHRMUBBUqwMmTsGCBw1N30I7n\neJF2h0/w6QNuXU2RTzDaIUDDQffwhAkTbq672x08aRJcDE+g/y/9qF2mNqNbjebBRg/6ZPK4wn1s\ndQXr+f0fbvIwDzd52Cs6XLsG//oXPP00jBzpFZEKF3C3Djiibl1ISICKFT3TLTktmRnbZnBn7J3c\neYvyCPcFHgwHHQO+ArogoTWKoS/7TRbwNLCEnNyaiTjOrfksklvzop2yrhMUBJs3S0V1Qvu//yb+\n7eZQvxdiiyoKKu7mI3OFWGABOQ4BSUAnJGdZJWAVEkvGGq8kPr90Cb7d+iOT4l8hJT0FgOKhxWlx\n8W2G3tGPh++NVbGqAhCjkl4fPCg5W4cPd36uwrcEUuLz9+PeZ8zyMdQuU5stT2whoqieKbcKT3Ah\nYXRJJObYdiTmWCWkvVnqM+X0o+2YO41b+z3pHWkLF6oUAfkMdxOfG2GWzAeGmdaHAb/58mIlS8KI\n9g+w/5n9/ND/B+6MvZMr16+w5su+PNY/lthY2L3blxoo8hM1aijDTJGXZ1s+S8NyDdl3bh/3/ngv\nlzIvGa2SIoeKwB+IYXYn4iCw2WEJP7L+gD/6QPzDsYxjPPL7I7y24jWjVSnw+No4+wHYgOQ+OwI8\ngnQ7dwH2AneZtn1OaHAoD9z6ACuHrSRx+CG63XeWatU0zp+XBtmSdSnruHD5mj/UUhjIunXKMC9s\nXL/uXrmioUVZMHgBFUtVZFXyKtrPbM+R9CPOCyr8wTxkiLIWMhRZFZhjqEYWnDnrg8xSq1ZBnTrO\nl1at4MABr1027WoasxJm8dsen/apKPD9nDN7EyTv9vF1HVKvUiyLv44lO1uGsSwjh+89u5cOnz5I\n0Mw4enw2kh61u9O9VndqlallnMIKr/PVV/DUU1C9Ovz9N0RFGa2RwtccOCAjQu+8I0nrXeWWqFtY\nPWw1vX/ozbbUbUzfOp0373zT+4oqXCUbMc76IaGbpgDbdJbtDnyCzBv7LzDJxjn/AXoAl4GHLWQn\nI+E7bgDXkcC0PiWtQl0OhLYg8vJZau3bp69QrVrQtq3z8xo1gilTZA6cPbJv2D+m8CpGOwQYSnCw\n1FtLUi+mUv3CA6RUXc+f+//gz/1/AHBP3Xv4rN1vxMdDhw6qMTean3b+xLykeTx+++Mux+E5dgxG\nj4asLLjnHggP2JTJCm8yfz4kJsKQIbBkiaTCcZW6Zeuy8bGNTFg9gdfaq6GdACETeBAYCvQx7dMT\nOEVPCqaeSI9cbSQ0xzSglemYhsyfPufoItVjzuhQRR/rT9amT9YmenW6yMIvjzs+edIkmDFD1uPi\nnAuPi4MvvnB8TjngKSApCaZNcy6zRAno3995Uttz52D5crih0/hr2TLvkFcBo1AbZ7boUL0DydM7\ncPj8cVamzGTx/sUsPbCUBuUa8Ouv0qgHBUm+vkmT4NSlU4QFhxFVXFlr/uTXxF/5dfevdKjWwWXj\nrEoV+O47yMiAhx/2jX6KwOO552DnTvj+e0nL5S7RJaKZ0nOK9xRTeMqjwJPAO8AhoAbwvY5yelIw\n9SUnr/QmoDS5w0E5nVBWLjpDhyouUrKUDFs6Yvp0cTu/csW5vFGjxFvUqXdctnzcyNbv0n78OIwd\n6/icESPg55/1yQMZ8khOdnzOxYswZoyEKNHD2bPw4IP6el4aNoT69fXJdRNlnNmhWlRlHo6SMA03\nsm9wJesK80/K2/bGjXDLLXLeRxs+4oMNH3Bbxduolf4YbWo35OHuTZSx5kOuZV1j8f7FAPSu4547\neb9+3tRIkR8ICpLh7BEjoLmP4ncu2LOAk5dO8kiTR1RMRf+xC0lObuYg+uYy60nBZOucKohxpgHL\nkWHNL5EYa3nwZm7NyEiJw1izZu79o0fLKECuSDPBwbz1ZzOGDhVbxiHbdI4Cn9oF024VA+bJQY7P\nTUiQxvLNN+Hjjx2fm2bK4HjnnRLzzR5ZWfDrr5CSktMI28OZ8WYLvaFciheH06fF49BHKONMByHB\nIZQqUooHHxTD+vJlCeYMcCHzAmEhYSSkJpDwQwy/NvqCF7b/ws8Dfub+BvcD0kMTHu54KF+hn9XJ\nq7mYeZHGFRpTvbTzB9/cudC1qxq+VEBIiO8Ms6tZVxm1aBQp6Sl8svETJt09iZ61e5pd6RW+ow7w\nbyT+WHHTPg3pQXOE3jgt9n7AdkgA2nJISsIkJCtOLr7+ZQlsk0n5nqZvat8e4uPz7j94ENLTc+9b\nsEBGKsuVgye9FMmjcnhlZvSdQelipaG+k4mby5dDz57STa2nqzoyUrq1K1e2f052NtSrB/v26Te+\nGjeG1193fM6OHRJrTo+xtWCB9EZeuGDzfG+lbwrkp4ZX4pz5gyvXr7Dx6Eb+PSmTi/WnsfXCIhKG\nJ1C/nHR7tmsnk5HbtIG7hy/l9gYR3F7xdoqGFjVY88DFUYyrp/54iqlbpjKu/Tjeust5IPAnnpAp\nDb/8ogzk/IS/4pxdvy4ho9xxErBE0zR+2vUTY1eMJTktGYBOsZ34oMsHNK+sUu24igvxoeKA8cDH\nyJyzR5D5ZE5aZFoBExCnAICxyLidpVPAF0iKwR9N20lI+kHrsbLxSGDaj6z2a9qiRfrSN3nAgQMQ\nHQ2lS+fsGzlSpoWNGwdvWT0mX3gBXnwRKlXyqVoytKhnWBXk7dnSO88e167JUKkewsKgalV95+ql\nYkUZKj1xQld0a3fjnAVyU5VvjDNrrly/QrHQYgQFBXHjhnQpHzsmx6Jfb8jZkN0UDSlK88rNaRvT\nlvDjfXnm/uZElFTGmhl7DbOmaTSY2oCkM0lsfnwzd1RxnuT+6lV52bn/fmWc5Sf8YZxpmmSFSE+H\n33+XnjVPuZZ1jal/T+WttW9x/up5apepTeJTiWqY00VcaNS2IsnOd5AT7Ny8zxGhwB4kH+dxJDba\nYPI6BDxt+myFeHa2AkogBuAFJAjuUmAieQPfajumrePWJ9vp+BreZfx4GVHcuFHmz1tSp468kFhO\nW9uxQzqDIiNlSpUlaWnShlnvL5Qo4yz/GmfWaJr0wv7191XWh49iw9EN7D5tCrCVWRw+OM3ZM8GU\niSieq9yNG95pLPIjjhrmK9evsPTAUvrW7auGjAow/uo5W7RI5uoUL+70VJc4f+U8765/ly41urjs\ntKJwqVHbALQHfgVWIIbWu0h8TWf0ICeUxtemcpbpm0A8OrsDl5Beua3IkOk80/FQYLaprDXa4W9X\nEfNQJx2qeJfLl2HxYrj7boiwSmgxf77UefP+MWPEWNu9W85ftiz3+cuWwfvv596flgZ798p6ZKSk\nSrMkLQ2OHhWDrkA9ppVxVnCMM1ucu3KOjUc38uffu1g9uyU7/+iQ6/iJE1CrtkZY1X9oeMdpnh+b\nQcuqLakSXqVQGCTuNMzXrolTUM2aEsNMkb8JpPRNCv/jQqPWAuntKo0kPI8A3gc2+kw5/fhlWNNT\nvvwSvjH5pN5xB3z6ae7jmzfD7Nm59y9aJFPKQL7eokW5y/zxBwwYIKHTHntM9l2+DN9+K+vFi8Ow\nYeQ/lHFWsI0zZyxeDD16mDaqrYNHxXi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"text": [  ""  ]  }  ],  "prompt_number": 36  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "def Tlatex(value):\n",  " '''Format number to nice string in LaTeX'''\n",  " latex_value = \"{0:1.0g}\".format(value)\n",  " if \"e\" in latex_value:\n",  " s = latex_value.split('e')\n",  " latex_value = '{0}\\\\times 10^{{{1}}}'.format(s[0], s[1][1:].lstrip('0'))\n",  " return latex_value\n",  "\n",  "z = np.arange(0,50., .01)\n",  "\n",  "fig, axes = StellarWindShock.setup_plot()\n",  "\n",  "for T,c,l in zip([0, 1e5,1e6], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n",  " \n",  " ode = HotStellarWindShock(p_fiducial, v_fiducial, mdot_fiducial, T)\n",  " ode.solve(3., z)\n",  " ode.plot_params(axes, label='$T_0 = {0}$ K'.format(Tlatex(T)), \n",  " bins=np.arange(0,3.,.25), color=c, linestyle=l, linewidth=2)\n",  "\n",  "axes[3].set_ylim([0, None])\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', dpi=600)\n",  "fig.savefig(plotdir + 'T_0/T_0.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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IoRqvwa5dIhU5f1EEeIGQUEqNLuesNEJVQMNtoEEW7QcB2wzsK7FgzjlEssMH\nuifqq0xperJyznoC3gjnaxZQTr3/JnAIGI2Y8tWX8kBt4F+gibp/P4TjNxF4mo2x8jwBAQHs27cP\nGxubNLNmEgPw8aHRk4JsIpZ/L+6ib81+0jGTWD0bgr7H9eOZ+N9+AvXrw/bt4O6uu2Pe430D+2Un\nDqUlMBBx78puX4kZcHdyp37p+ni7e5vbFIPQFXN2FfifEc7jAqxHxKw9R+iUzVQf+wL4DvFUkob8\nLN2imd1q2TK9HGnexKTSPSoVDYvWoET0vyj37hlso8S0SPkm3fzwA7RuDSFhMxh4cjpObeGcRwMq\nrN0FhQrpHsCCyYF8kxcillmTcn4Qca+5raPfHXXf1ONo61MD+AURc6aZWtG3r7yGzYR/BX+ODj6a\n6+fNwXWc69gjhGXHZXK8PNpF1rPWRNBI8+zYkWNpBYl50fYZGPtzSZr2ubhepkwx6rgS0yG/mxlZ\nuVJR3D0eK3ziqDAd5fPB3kpSTIy5zTIJ6D87tRsYoL7X2CNm0rRnTKXFDhEzXR5wQMRGV0nXpixi\nkqKhAX1BXsPGJTvyTdlgwIc+Qr7p+/eNOq6imFa+KSeogKVAKCLlWENJRAwbQBe0O2dZcuSpHw9x\nolGkA7JylUQXKr+q4kVoaPK+c+fg6VNo3Dgl61oisVQUReFW4mCe9AwG+zjm3KvOxJ+Og4ODuU0z\nNx7A8lTvf0UkoukiAfgAMXlgi7hXXQQ0tYsWAZ8DbojVHhBJbvWz6CuRGAVTO2dNgPcQdWFOqfd9\njKiZVgvhUf5HypdBbybc7MFRGrHq0n56G8lYSR6mivqh9mLK/8/mzYVzFhGRX0N1JNZE2P8tZvr1\nZaiKwsJHDRk6PxjsTP0v3CqIAPoCqxATAr2Ax3r23a7eUrMo1evB6k3fvhIrZFyUH93/CqP6pKrm\nNiUZfb7ZexC1zXTt08YhhOh5enJ8QV91FKUmwl7c1dFSIgEqVRLpmdeuQUIC2NlRuLBwzqKipHMm\nsTzCw2H5cvj8c1Ct/ZNK733Aah+Ib9ea3j/sBBtt/1rzJQOBH0kpzXQEscwpkehFjVfu1LgK2FnO\njSAr58wJKIiYMk5tcWFSymGYDfeSx4lwjKaQc5TuxhJJgQLg4QEPH4qtVCkaN4YSJSAx0dzGSSRp\nOXECOnSA+/ehyKWjjFvbB5KS6NZxMnz1lawDk5YbQEdzGyGxLCJiI7j65CruTu74FPUxtznZJivn\nbBgi46UFHiCdAAAgAElEQVQUonishmhEZWSzUrnhPMJcH/BaeTPJAkmsjmiv4lyxfUiBy8FUK9WT\n1VLJSWKhrFghHLOWPrfov6YdkARffAGffCIdsxQ+Qkgm/ajlmAKMyV1zJLnBej/wjkmilpZjK06v\n4MyDMwBcibjC1rCtdKvSjfU91ueukUYgK+csUL2NQaQpG0Jm8k3uiIrO5RBPPT3IZp0zW/VqaWJi\ngoGmSfIbO3zt6NER3j4byMaWPc1tjkSSKTNnx6CEbeO7He/iwCuYNw/GZZbwnm/RZPecIG1GnApZ\nhyxP8jLhJX26wadHErU6Z1vDtrIudF2afa6OrrljnJHRJ+bsB4Twefl07Vfq0Tcz+aYB6p/fIJ5+\npqg3vbFVqZ2zJLkmJdGPwgXFlzTm5XMzWyKRZM7TF5G89U11TtS7Q7dL0OKTX2BwZjHp+ZrN6p+x\nwNp0x3rksi2SXCBRSeSVLUxrlsDnWo73q9mPhmVSqp7Y29jTvWr33DPQiOjjnP0OvIZwsFJ7Qvo4\nZ5nJN3UC3lDvXwHsJ5vOWf0X7iTcu0OpskWy002Sj3FyKAhAXGKcmS2RSFJ4/lzovLZtCw+j79P2\nm+qctnuMVzSUmv4d9JeOmQ6mktE507ZPkkdweqV9f4dKhmk3W5u2poa6gB85nyYuj5BvOgp4Ag/U\n+x+o32eLVtc74BNUEa9GNXJoliS7PHnyhK1bt+Lg4EDPntazPOhYQAi/v0h8CcCBA1C4MNSsKRPf\nJObj/n3o3x/m/nyfGSd9uWIfhU8E7G72C2W7S8csC9oDAYgH/h9I0WsuhFi10Yd2iPAdW2AJIoYt\nNZURNdRqA58g1Gw03ACiEJMWmvpnEivEErU19bklnUcUjc0JLsD/IRIMotMdM6iC7v7HVVlBf/57\n4JRD0yTZZe7cufTs2ZO4OOuagbJ3ENfKq6QEkpJg+nQYIBPuJWbG2xvWrnnJZzsDuGIfRY2HKoLb\nrJGOmW7uIkJl4tQ/TyC0mjeBXhMgtojktnaICYjeZKzyH4HQgZ6jpb8CtEA4btIxkxiVrGbONOv5\nLojAy2PAS/U+BbE0qQ/2CMfsN+Av9b4HQAnEkmdJ4KG2jllpkk2sFsTEkyvBZ3nGjhKTcuXKFc6c\nOUNMTIzRxswNXcUCiSoa3gLv8iWxsYF9+3I0nMTI5Fttzbg4ms/twfyLp/j6DVs29tmEm3+Aua3K\ndQzQJDyj3jYAMaSE3dgCBfToXx8hzXRD/X4N0Jm0lf4fqbe3MhlDps5Kcp0WOjZ9UCFi0+al269J\nBAARa/aVlr5ZC1YNGyY0thYsyLHulbm5fPmy0q5dO2XhwoVKq1atlIEDByoLFy5U6tSpoyQmJho8\nbmJiojJ+/Pgc95k5c6by999/K7NmzVIURVFGjx6tKIqifPbZZ0pUVJTWcZydnZNfb926ValUqZIS\nHh6uta22z8Akn8uoUeKa+eEH448tMTqW8N00BStXKkpEhPrN8+eK0qqVuC7d3ZWkY8fMapslgf4r\nKv8iJhE0FEIUotXFOwhBcw3vob0sB8A0YGK6fdcRyjfHgSGZ9DP3nzFPkfT8ufLYCeWxm6NRx7U2\nbc39hgyYDm3yTVMRzthaYBAppTSyR0ER3I0RZ2/MxenTp9m0aRP29vZs3LiRyZMn4+vrS5EiRbAx\nMBgqMjKS5cuXc+DAgRz12b17N4qi0KlTJ06dOkVwcDB9+vRhz549eHt7U6hQIa1jqdS1mPbs2cPY\nsWMJCgrCy8vLoN/FaMTHi59Si1BiBhIT4cMPITAQWrSAPRueYdPxLZEN4OkJu3ejqlbN3GZaI46I\nhDMN0YgC6rrIaRx1E4RGtAei+sAlIDh9o3wx+5tLqFQqir4AS56wNGAGWCv6JASkjxEDeAaEIJ4k\nrmfRNzP5JoDWepw7U8IKxnG+MnjH/Ef1nAxkAfj4+GBvbw+IJUNfX18AKleubPCYbm5uTJgwgc2b\nN+tunEWfI0eOUKdOHQBq167N3r17mTZtml7jHTx4kKFDh7J9+3YqVKiQvV/AFDxX//8uqM//bYnE\nuBw+LBwze3vo0vEONq07wcmT4OUFe/aAj/VVMbcQYhCJa5pi6fWAF3r0u4OoxanBC7idjfPeU/98\nBGxELJNm6ZxJLBNjamumd8BnzJhh0Dj6OGffA7cATT31XkBFxEzYMvRf4jQqi2Jj+K7m2wy4FcUy\nE50jdSFuRcszlkqlfX92qV27NgBhYWFUrFgxeX+tWtrK7OWcQ4cOUa5cueSZrEOHDlGhQgVKl86o\nyvXw4UMKqp0ZZ2dn7t+/n6GNNuLi4ujSpQsHDhygUqVKxjM+JzxUhzYWL86uXeDoCPXqgZPMKZHk\nAs2bw/ffwyP+YsqjrnhHKwRUrCgcs3LlzG2eNTMOsRKjcZZKAvqkkR8HfBCVBO6q+/TOpG36qZqC\niNi2aMAZaAMYdheWmB1r09bU0AlIXa9iMaLm2UeIJUqzcON6c/h7ECG115jLBKNz7Ngx6tfXnfQT\nGhrKrl27tB7r378/rq5ZV0Ru2rQpgYGBdOnShZs3bxIZGUnTpk21tk1KSsLW1haAxMTE5Ne6cHBw\noEmTJixZsoTAwEC9+pgcjXPm6cnEfnDuHBw5Ao0amdcsSf7Btcb3jNs/DsUOjtUqRsD3wVAyp8nw\n+Z4QRJalL2Kp8jL6ldJIAD4AdiIcraWIZIBh6uOLEIlrIQhN6SRExQE/hOrNBnU7O+APICjnv4pE\nItDHOYtFPFFoNBHeQaQugxklMkoXF05CZLT2mCdjoGtWzBizZqkJCQmhVatWABw9epTo6GiuXbvG\nsGHD0rTz8/PDz88vR+caN24c48ePx9fXl+HDh2faztPTMzkrMyoqCg8PD73Gt7GxYe3atfj7+zN7\n9mymTjW/BuoR1W3sSoO3UyFCQ0VtsxqyTJ7ERBw7JmZmNWGjy/fPY9D+CSgqmHWhBB//fA6KFTOv\nkXkHX4TT5AjUUe/Tp1D6dvWWmkWpXt8n7dKnhuegVUFIIjEK+jhn7yKWNn9Sv/8XEeTvhHjqyIpl\niBTkh5AcGjYdGIxYpwcx+7ZDb4vVVKvsAJU2Y+8RQuZZztZFSEhIshOzbt065syZQ2hoKOHh4ZQt\nWza5XVYzZ/369cPNzU3nuXbs2EHbtm0JDw/nypUrmS49Nm3alJCQEAICAtI4j/rg6OjI1q1badas\nGZ6engwcOFDvvkbn+XM+fD2Sf7xgw7PbvPtuRaKiwNnZfCZJ8i6KIoL/mzWDWbNg2b65DDo4EVTw\n1fmSfLTwHBQtam4z8wrTEYozVYGtiOK0h9DPOZNYEbGvYvGaDE6JL7IVHGiN6OOcXQMy00Q4pKPv\nckRqcuoviQLMVW8G07yZG0QHoIq2A2bmZCizc+bMGYKCgjh79iwbNmygW7duxMbGAuDi4sKDBw/S\nOGf6zJzFxMSwePFiLl68SGBgIEOGDMFZ7YkEBwdjY2NDmzZtAFiyZAnOzs64urpm6OPv78+2bdtY\nv349KpUquY8uNNmabm5u7Nixg+bNm1O8eHE6dDBMXiPHXL3KZfW9sEEVH7qsMI8ZkvyBSgX/93+w\nejXw4AEVpgfi1AxmXirJhwvPSsfMuLwD1AROInSbPRHLjJI8yJOCmcs35SWyykf9CCFloa3uiwKM\n0fMc5REFbTUzZ9MQU8LfZdZBcw4li3XD+BfPaT+iENUeQuD6GFQGZuCpVCqyOo+5mDp1KrNnz2bu\n3Lm88847aZyzvIa2z8DYn8vjVUvwCBuCS6ItUTNeJTuPEsvFUr+b2SIqStTNOHWKW/V98dp6SC5l\n6on6O6rPFzUEeB2RremPkFS6hFjqNDdZ3sck2SP22WOcAz1wegWx/zPe33Xe2AYERRxjXKPxtB2V\no3mjDGTjOk5DVjNnoeqfJ1LtU9QnyelfZTTQD5EtMxF4mt0BHJxc2HO0Mly6JLY6dXR3siICAgLY\nt28fNjY2edoxyy3OhokM9yp4SMdMYnRevoTbtyFVsrXY2aULnDoF3t54bT4oHTPTEAK4IQrKHkeU\n1tCnCK1EAlimtqY+8k2/qn86Iy76nLKAlHXILxAzaIO0NdRZvK9OHeGYHTmS55yzZs2aAdCyZUsz\nW5I7mFq659ito+AF9YvKDABLxVrlm16+hK5dISRESIJVrYoIOhs4EPbuFQVmd+6E4sXNbapFY2Dx\nThWiqHkksBCReVkYIeskkVgt+kwhNAaWICQxvBAZKkOBkXqeozxplzX1PaZzOjjqp9/Y+MFuIvya\nM+GCVv9OJ3li6cTKMfmypqLwZ5Mi/PpaNJ6Fg/Eu1ZQBA0BLWTeJBWEt380+fURsWdGiwhcrWfER\n53+aRsuPFoCLCwQHg4lqFuZl9FwOUgHnAEOlFdoBgYhSGksQoTypqYyIna4NfELacBxdfcHYy5r3\n70PLlnD3rn7t3d1hyxb1E4P1Y6plzYGTKrHcJYylbu8zcIxx9boNXdbURxsoEHERPla/P43IjDGU\n1EV9uiC+WAYR3aA1a+hFhSs74MmTHJgkydOEh9Pzn2i27yjKiH5NePQIHjwwt1GSvMLo0VChgnDM\nqlVPoueStrSOWcCfVYEVK6RjZloUROiN7gKRGbEF5iPub36IArRV0rWJQIThzDGgr/E5flysFkVF\n6bfduAHZkPCzdJzsnHj8Ndz62dHcppgcfbI1AcLTvU/Qs99qhCNXDKEyMA2hKFAL8aX6j5SCf9mm\ndL2SbG87AHbuJHHp69hOmmzoUJK8TLBaUaVBAxo0VNGgoXnNkeQtGjWCy5eFLFPgwTnse3oKz1ho\n1mGkWO+UmJqGiPJON0kJvVFIWzxdG/WBqwh9Z4A1QGdEIVoNj9Rb+npN+vQ1HW3awNq1WbeZMAGW\nmUo/xzxYg7amsdDHOQtHCLwCOCCyNPW9ALVJYRj1akkYPYov43ay4t5UTj7sRZHiMnhekg5NTbhs\n1GiTSLKDvT3cibrDx3s/ARUsPluOUpvnmdusvE4FxAN+Gwy7W5dGTBpouA00yIW+OcfeHooUybpN\ngQK5Y0sewJjamsZCH+dsBKIIbWmEUGwQMMqURmUH2/ZvsWtXYa4XiWLCt61Z+u0Vc5sksSQUJcU5\ne/NN89oiyRMoSlrdXQ3/C/qUF6oEuoVCp+mrwcEh943LX6xHCJ4vAwx58spJ0JLlB0MC4UXgwssL\nEJZWBMGriBfVihsappf3sFZtzUdAH1MbYigqGxsW9lhJ3e1vs+xRKWz6/sIvvw3Ru7+bm5ssrWBm\n9FE0MJgLF+DePaKKe1OoarV8MBkuMTW//w6//QZffZWSJB6fGM/qC0Ln94v4plKwNXewRQTp+wIT\nSDt7pil2nhV3SCvN5AV6F57Xu685M463e8PwqJ9h1c9p9g+tM5RFHRdl0su4XL8Oz59nlMq7fl3o\nG4OI2cwrUnoGZh1nICvnLHXxWU19s9Tv9SlCq02+yR34EyiHWK/vgQF1zlJTtXFnPt06js9+/4ol\nSba4u67k6x/76dX3iUwkyNPs2hTI6s5w6eQfPKuuYuVKqFvX3FZJrJm33oLERHj4MGWfg60DV/6p\nx/7bh6jyqcUsLOR1egFvI5w0Q0SWjwM+iKoBdxEa0tpCcSDjsqnefVM7Z7mNVxS0s/eDcmnDfaoW\nz73lu23bRA7D/PkZ948eLV6P6hXB/LLfiC9WVryyfGmA9A74jBkzDBonK+fsBClO2Qzgc1IuUH2n\ndLXJN00BdgHfIFQIpqi3HPHprHlsP7CCI4f7M+/3BnxW8Udcxn6gff1Bkm/47b+/+K18eVSb6mFn\nB7KerySnuLvD++9n3F/8zFV63EfOmuUelxA1zs4C2wzon4DQh96JcPCWIuKpNUlqi4ASiCK3hYEk\nYCwiO/N5Jn0tioAwCHAdBe9mXfkq4I8A7j2/x9Y+WylVqJRRbahQQYTIadvfqZN4Xf38Kljzjc6x\nYu0R2ppJL/O1tuavqV6PBQxRIwxGPFmkphMppThWAPsxgnMGEHygLx3a/cLY49/iMj4Mjv0DCxbo\nDpyU5EleXrvM38Ui4L9mFCyo0LUreHiY2ypJniU+Xvw0UEpOYjCGOGYatqu31KRe77tP2uVLXX0t\nj5kzM05bpeNChzDCnRN4lRBv9NO/lT7PNdV+zbGVvX6mcgs4/WoQjt6VM7StFjuHlySSRBJPlCc4\n2Wjx9vIY+pbSMCaegKbK1AP1e6NgY2vDtl1D4DdHGD5cVIY8fBgCA+Htt+UsWj4j6P++IcoRalbY\nz/7btqi15CUS01CunKi3ePaszAyWmJ8q6rJrDx7oLuzYVv3z3l1wK29Kq7Tya4n7XHaDU7Vq0ajz\nBxmOX5v1GXEJccnvq5UwboDavEIXCHoXxr04n/ynGDkSBg3KGAYzciTY2sKP2lTHjYg5nLPUKGSx\nRGpwIGXfvtCgAbz7Lhw/zrGus/m2lBOfro6iZvMeObNYYhJMId3z57VNUAp6eLXD1RVcXXNup8R0\nWJt804kTIiEg+ZmvXTuhozl/vnTODMBYgdQSNaNHQ4cO8OKF7rbLqgNJJCRqL2EanxhPYpKIB1Op\nVDja6S4Ce2n1Kc4MmY/vi9PUUmWtpqW8lwhuEJv4UuvxcyPOpVELKe9aXuf5s4M2bc2LF0Ud3/Qs\nWCB+fvaZaRXZsppKek6K4+QEpP6EFcQavD6UJ61E0yVEIdr7CLWAfQiJjPTkXPYiIQEWLaLduMpE\n11jJkU4reftpST7r+C11/N/N2dgSk5JT6Z6Xly5Qank1nhSE64PPU6G05dSvkeiHJcs3vfce/PEH\nTJsmNpUKuHOHiBo+/FjjBVMGLMWx30Bzm2nVZEP2pgewA4gCPgPqIHSbT5rMOP0xrnzTli3QsaNY\nD9yyJc2hjRc3cur+qeT3QdeCaFSmEe/VeI+6pbLOgio3yY5wl0S+jqjD5MSMVbp7Fw5ijePV5PcV\nE4uwsfwUqhfIuOIb/uox5+NvE/hrCXb9MxH7Bt/i0WQyd7Tkzj51hDITIGbVbrj5BnMX/8P4wUJX\n+skTiFGXFHZzE0poOeHpUwgLg9dfz7i/Vv0d3ExSMan9ab758SMAQkOFxF/6qCjNw9i9e1CihO7z\nGirflNXMWQ7/FJmyCeiP0CHrD/xlovOAnR2MGsXvbz7if8vOcfIV/OV6j7+C36PNprEEFJvBiA+H\n4OAo6xHlNQr8vpprP8D+gS2lYyYxOt27w6pVMGMG+PlBjx6glCpFmwnFOJlwixM7B7PGxRnnrj3N\nbWp+4DNgLdAUUe9sDrCA3CwKm0tEJcZywxMKOcRSId2xTVc28evpX9PsO3rnKHVK1tHpnHW578ai\nco8pv/ckXMjo09p3AUc/iFOHel2zfcaPf01l8eaMY+2oC8M6Ai4fAvDKFmI8isCrxxkbxz0l5jsP\n6NeGok4e9OqRMsP24YewXC1zuXQpDEz1rHPtGty6Bekn0q9dS1Greu21tMdDQ8WYR46k7RMaCjfD\n2gEQEZlSV9jPL6O5IKKlXryAwvpOTxmIqZc108s3fY7IrlkLDCKllIZJKVbJg8CvTjLl+lnmLB3I\nAk4Q5ABB0wcxd+Z9Rra6zsRlVbErKaPF8wSJibBiBePillPfoQkvXoCTk7mNkuQlOncWztnatSkK\nTSqVihWDt9J8QX22VIqjya5e/N/FY1Sc+i3Y6CNjLDEQTf2FDsAvwBbEzFme42D0eTqOgLeeXmBL\numNv+75NBde0Lpu7kzvv+L2jc9zAzw4TuGuXKDmvhZXqTUlKYuKZr7nknkQ1r1LQxzdDW6+Cd2kf\nc5kHLo+4X3kLw9r6M2HCCDFZko4izkWJnhoNgKOdI3Y2KW3c3KBMGfHa2Tltv2PHYNOmjM7ZsWMi\nTgygV6+0x4sUgXr1Mv5uRYpAybJHuFconBp+Z7X/AVLRq5fOJkbBkiPkjTsdnIond68xY9ZPrFwx\nmqcxFahHCCF2jUXMSN++YtpY3s3NSo6WtHbvhjff5FDJ7sxv9ie/LFFRyJAqSBKzYsnLmhq0qQVc\nfBhK5wXNCSMCp1fwzbXX+ODzLSkB2hK9yMZy0FZEUdg3gdpAHHAUqGky4/THqPexLb9/TsdrX/DW\n0+JsmacjyD8Pc/SoCO8cPjzj/kXqXNv69TMez4yBkyqx3CWMpW7vM3DMcqPaauiyZr58nHMvVZHv\nf5pLxNNybJ0ewuwGf4n/slu2QM+ebGlUlK7vd2DRnN9JfGX81GKJiVHPhTcdVpU1f0rHTGI6tCWA\n//yFH3Mb/Udv9zd4YQ9x4dehVi0hRP3oUe4bmffpgag31gZR0NwNmKRn33aIOOgwRN1NbfygPn4G\n4fxpuIGosXYKOJZdo62VV68gIkJsT7WUj09I0L7fmDRooN3xatBAaL0vW6a/YwZCW3Pb79DG0XJC\nYPKlc6bBxs6GgGmv0/rfWXDnjii5UbcuS6q8YOPp7gzfc4ySnzoydFJldqz+gvjYaHObLNHFs2ew\nYYN43b+/eW2R5Dtu3hTLnW80KsSq0fvZ0+UvxlUdJGqgzZsnAmE+/xwea4m/kRhKCcTsWRjQEuGs\n6eMs2QLzEQ6aH6LCf/rpzQDAG6EGMBQRy6ZBQSS31QbqG2y9FREbC9WqgZcXFCsGLVtmbHPunPb9\nlkyNV+60vwplLEhbM187Z2nw9ISxY+H4cWaP28wbbi8o57WZRwUVfnG5TPsrn7O9qScL6i/j/yb9\nQ8zDGHNbLNHCkd9ns6FCHPH+b0D58uY2R5LPKFdOyLlqZmv9a3TGbvESIg+cZUHV+Tx9bgtffEF8\nuTIsH9+CF+dPm9fgvMEGRLV/b0QB2TLAKj361QeuImbAXgFrgM7p2nQipQD7UcCVtLU5LTk0yOgU\nLCiu765dhVKGtvrutrZ5u+772LEwYICYBzAl5qxzdgOR+pyI+GJYzJNHlQYd2L8PlKShnD+ykQ17\n5rP9yTFanH1F2cRuRIUUocCcOK680Y+y3V7nXot6lKwuJVssgc+O/x97m9cksGoZxprbGEm+RFt6\n/R9nqzP6QnUmFhjO1LKrqODUj4GuB/jwt9r0fVaOQc3GUL37B+AgM8cNIAnhnHVFyAX+iFhq1EVp\nRKKahttkzPDU1qY0ooC6AuxG3MMWIZIRTEohWyeqP4DymC8m2s4Ofv898+M1akBeLlfXqJHI1tQm\nSWVMzOmcaaaELVZ5XGVjQ/Wm3ajetBvTgOcDr/Hpx6fYcLAo95+74HXgN579+xteH4H3cnvaO1Sn\npMMkxkwOwNHFxHm2kgxcP7yFvWGD4PAUHkw18WONRJINfHzA3x/27rWl2Pi+eFSOo97uTzhe8BHf\nF7zJ91cn8vq4j/jCpSNt+80Ua0cSfYkH+gD9gI7qffrcOvWN1M9sdqwpQvTcA6EXfQkhWZgGYxZS\nfqNQdc4uAN6S14e50JWtaaxiyuZWCLCqKWGXmhWZtLUik4AXNx6gOriCi3tXUih+L5eLvOLyHRvY\nWIOZiUXoHVWWX6p9DO3bS7XtXOKHP7+G4yLB/O238/C8usTqaNtWbNevC33XQoWG0KbFYE5c3MOy\nv6ez5M+BhFRfQ9zejfDtRlEps1cvUVDNKzNpR4magcBwYBbwH/AakMXcTjJ3SKub6QUZ9LTTtymj\n3gfCMQN4BGxErP5k6ZxJ8j7pHfAZM2YYNI45Y840U8LHgSFmtMMgnMp7Qr9+NPx1N49mxBJc9yd6\nxzakVNVlxDjAq9vhIl2kXDmOlO3FqOoH2PjRvzy9KWd0TMHLyMesTLgO3tupV/c+9S1mkVwiSeG1\n11Li0VQqFfX8WvP9h4dwvjmABa3bEdByiKhuGRICEyfyvGwVaNKE4O/GEHvzataD518uAKMRdTUB\nriPqaeriOCLQvzzgAPREFElPzSbEjBxAQ0Q26AOgIKDJA3dGZIqeM8h6KyIxEaKjUyr35xXmFbpA\n+3dh54vz5jYlGXPOnDUB7pHFlLAl6+qlxs7BkaYdRtK0g3h/+0pPXnruAtVx2LOHv2/V5udbb/Dz\neWj+63xe9plC60K1aF3nHRq9OZACznIJNKe6ihtXTCHS8y612g3myGyZVWuNWJu2prGwt4crV1R4\neEwQminfBcK2bcT+sZGSfy2k+j+nOOqygQKPfen4zJ0eFTvTvsdUCnpVNLfpRiUHy0GVgC8RGZea\nYCwFMYOWFQnAB4gyHLbAUuAiMEx9fBGwDZGxeRWIAQaoj5VAJCKAuI/+AQQZYrw1ceWKqB9WubJ4\nfsgraNPWNDeWsqw4DaHl+V2qfSYrQpurJCRwZnUom359wu4Trrys9QlHW25LPlwwHioeH8nw1yoy\ncngrqF5dVhMnmwVIFYX4erXZEH8Gl9ET6TB0jmmNk+QK1lCE1pQcPgz+/grx8Sqcil7mxegUCWLn\neOj7qBQLan8K3bqZVoHZTGSjeOdhxD1kLiLmbADC2frMZMbpT65pa0oMJztFaMeOFYLogYH6ZaVa\nWxHa/DMlbGdHzb41+GxPCw48rcXuDUvZ5jOD8S/rUP2ZI7EOcO58f+I3bhKFKkuWhD59YNkyos6H\nm9t66yA4GIeTZ+h1vxgd+s8ytzUSiVFo0gQePlSxahUs/8mXG4PPM6dYH+rHuBLjAHeulGDhyDPi\nf0br1rB4cX6tn+aECJFRATeB6cBb5jTIVEQlxnLWE/5ziDW3KfmWP/+EX38VGZumxFzLmp6IAEqN\nDfliShjAxb0E7ft8Tns+B+D+9bP8LzyEga9eg71XRTHc1ath9Wpe5xK3C/1H6XLHGdf3GJ0796C0\n7+tm/g0sj0f/W0QxQPXBB1CggLnNkUiMRpEi0Lu35l1VJo76g4nAjfCzzDgcz8NKl+G/ZbBnj9hG\njmR/l9pEvdGQtj0/poBHSTNan2vEIWbKriKWKe8iHvrzHFlpa0ryFuZyzv4Dapnp3BZFiddqMH9p\nDWCQkJC6fBl27+bJ1n+4v9OT2GhXwi6WZFRUX0atmYNPlD0tbCsyv+ZUIqu3xbOGp85z5GkuXqT/\nruzC9iwAABTCSURBVHd5rhrBmq5VKGVueySSXKB82RoMngZlytSDwgHw999ChX3XLgaHteXa7aIU\nPNaVboXC6Ve7P/59PsGmYJ70VwDGIVZjxiAEzwsjovckEqMTGChmzQqbOFTcUmLOtJE3Ys5yQHxc\nPGuX72LHgQs8LTmHg06PiC4AFSIh+PtS1OQMDys1w6blG0Ivo0ULoXSQB9A73qh3bxLWrGND6wV0\n3T4EO3MXh5EYjfwec2YISY8icPNREfVMLUPTtzVU3EO5ZyqCXvag0sBJULeueY3UE0NjdSyMPCV8\nnpgoJJxsbMA5D/n6Z4e9zZ29f1N90reUGfqhUcc29DqWtzILxsHRgfdGvMV7I94CJpMQH8fJ/at5\nfPwgl14vwVundmJz5RJcuQSLFnGyJHRvWxWn05/StuFLBg9tRJXalcz9a5iMs/vWsP3WGsY4O9Bj\naVt5NUvyPapiRdmxHdatg6Cg53T1c+K3SAde2MZTYeGf8POf4iHu44/hzTfNba6xeB34GFESQ/Nf\nQAFqmMugvMqlS6I+sp+fkHHKK9R45U6Nq4DU1gSE2OwlhFjtR7l1UmNU7s0t0ttq5+BI/TYDCPh4\nOa2OzWZFbA84cgS+/BLefJN9ley5/qAFF073Yu7C/vi9e47qExz5eVILIQYeEZFrtpqapIRXjPp7\nKFPehP+NrZ2tQr+mtFWOnbtjG4qpbTLX31OlEvIyc+fC+fMuzJyymWtfveBIt23Yjx1PhEs55u+v\nCm3aiCzPdAKBVvp3+QNYDnRDZGt2RGhi6oM+96Ef1MfPIETOs9PXJETcijf6mKb67E0xrknGNPqI\nOcNczpktMB9xcfsBvYEquXFiS7xRZIZOW+3txX/iqVMhKIjR25/wW8emtPJfjpvXfuwq7OB8kZdE\nHDsg/hEXK8a6ch+ypv0K+PtvlCfGU87K7b/r/z7vxyG3aErE2jBx9GrdHVJhrY6IHNt4WKkTYtDY\nNiobXmvYHubOZWLHKxytNZxEZxfxwJaSbWDQ2NnFROM/QhSLvY7QbNZsutDnPhSAEFT3AYYCC7LR\n1+hotDUTbxp/uV+fz8bGBlxchAC6McfNLiZzzhYvZtmIhhT9vECG7cOxVeDdd8U2b57Rz58eczln\n9RGZNTcQoudrgM66OqX/QLJ6r3md/qch6Oqr7bg+tmX22lBbHZxcKFOlBLv3DOBJeAuer/2Og7V/\noK//OGjRgv329qwJb0TCjl3w9tuMfa8odcYXpMe7viyaM4/wq7dyzdac9P3606VMm7MEgr7h56qf\n4V6igsE2SCR5ndQhT30HJ9L7y2BGDSrOt41hR/he8xlmPGYgCsj2RsyedUOIoOtCn/tQJ2CF+vVR\nwBVRgNage1hO0WhrBjwzT127KlWEQkBeKkALCE01gKNHeXn8KE9s4zNsMdcuwapVjF1VnwETXHn2\nn2llwc0VpVMauJXq/W2gga5O+/fvT1MhPKv3mtfpfxqCrr7ajutjmy6bc2prAefCNOs0Wvx7mQb7\nP/2UiSUq4HuzGhxrzsHywZxxfcGpU1dY908NmFyKgsVP0K7E57TY9DuULZtrturLwikLmTLnfUh0\npHZcZd7u21FnH4kkv7F5s3i4DwuDvs1ucKvMmxxTbnO1YBxJNoA7FPCHv+hiblONQX/AF3E/S0q1\nf4P25snocx/S1qY0UEqPvgBUqbkWgKp1fsfdIwyAMc+rUi3Bne/P+9Oq1CWquQuZzu+dz3PBPpLz\nJ/oS+dg7ud90JweqJbjDzZsA/Bvpy/nzIv4rNd9/nxILNmaM9uOtWmnfv3kz3L2bvX55hs8/h//+\ng86dGZAUTw/lZYYmBV6zh96ONBqyhxcvFOyV9mYw1PR0A35J9f494Md0ba4igjrllj+3eAuwQW7m\n3V5agA1yM992Gv24jGFZnfrchzYjpAY17Abq6tkX5H1MbuIayDbmmjm7A3ileu+FePJIjXfumSOR\nSCQSK+UIIu4ru/mD+tyH0rcpo25jr0dfkPcxiZVhB1xDpD47IJ6QciUhQCKRSCR5ikuIuK8rCBnA\nc8BZPfrpcx8KQIifAzQE/s1GX4nEKmmPmI6+Ckw1sy0SiUQisU7KZ7Lpg7b70DD1pmG++vgZoI6O\nvhKJRCKRSCQSiUQikZgeYxZ3XAY8QCx1aHAHdiGWQYIQ6fHZxQvYh4hzOY/Q9TPW2I6ItP3TQCgw\n24hja7AFTiECno059g3EktL/t3fmQXYUdRz/xABJIEBxVEIwwEDKEI4AKQjhSLKLHCGCCBqBEMUQ\nBDlUKJSzoOQPQQ5FrQJFEVBJ5JBATHFZHhRZU+ESVgMYCqsCRgiXQIgiISbrH9+emnmzM/umZ+bt\nvvf296naem/n+M3v9a+7p/vXv+5+FniyoOwq7O9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"text": [  ""  ]  }  ],  "prompt_number": 14  },  {  "cell_type": "heading",  "level": 2,  "metadata": {},  "source": [  "Results"  ]  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "z = np.arange(0,50., .01)\n",  "\n",  "fig, axes = StellarWindShock.setup_plot()\n",  "\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",  "\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='r', linewidth=0)\n",  "\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(outdict(ode))\n",  "\n",  "pexp = ExpPres(1e-6, 5, p_inf = 1e-8)\n",  "ode = StellarWindShock(pexp, v_fiducial, 4e15)\n",  "ode.solve(omega_fiducial, z)\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(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(outdict(ode))\n",  "\n",  "axes[3].set_ylim([0, None])\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', dpi=600)\n",  "fig.savefig(plotdir + 'result/result.eps')"  ],  "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",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n",  "6.31152e-11\n",  "Excess work done on this call (perhaps wrong Dfun type)."  ]  },  {  "output_type": "stream",  "stream": "stdout",  "text": [  "\n",  "Run with full_output = 1 to get quantitative information.\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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22Yn8kczRLioKGDBgAHFxcYSEhOTkoYCs4+wMY8ZIj9j336Pp0IEzZwwXLVu2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\nK5i/QRZ7NhhKlpQwc+JMercLrZ07YcIE0tLS+OHnH1i8eTH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"text": [  ""  ]  }  ],  "prompt_number": 32  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "fig = plt.figure(figsize=(3,6*0.75))\n",  "ax1 = fig.add_axes([.25,.53,.72,.43])\n",  "ax2 = fig.add_axes([.25,.1,.72,.43], sharex=ax1)\n",  "\n",  "\n",  "for model,c,l, lab in zip(output, 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'],\n",  " ['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",  "ax2.set_ylim([1,9e4])\n",  "ax1.set_xlim([0,40])\n",  "ax1.set_yscale('log')\n",  "plt.setp(ax1.get_xticklabels(), visible=False)\n",  "ax2.set_xlabel('Height (AU)')\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(prop={'size':'medium'}, labelspacing=0.1)\n",  "fig.savefig(plotdir + 'rhocool/rhocool.png', dpi=600)\n",  "fig.savefig(plotdir + 'rhocool/rhocool.eps')"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "display_data",  "png": 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7M1G42lM6O/mMRvmwOstfqCwF22zXVUPNTbW04U7EahXdqxobnZNXThJUKafF\n9dKlS8Qci6HXul60rN6Synsrc23/NVb8uALfUr6sWLGCadOmsXrGDIiK4tivv3Jk0ya6nz6ds3GL\nRQVtt2+vSjm0bw/Nm4Ov3nWJix9ara/OrioHAes0yJEMjEMNMW9EOQ28iyqzbgTC7G+Cg4O9J4WH\nqeRfKc+xsmXLct5ynol/TiTmcgx7LXs5UvkIn27/lB1ndxB0NYhKlSrRpU8faN2aBRcusLZ8eR5c\nuRLat2d1SgrhKSm0TUiAc+dI3bmTUitWYJk5Uw1116yBfftUlEv58lCxov413g1KZGQkc+fOZf36\n9eBcuQ+gcO0NRi1trAVuQK1ZOpvWoynQzXaPcJyr8eEpRIrROqUnuJBwgfCj4aw5soYNJzZw+NJh\n7rn5Hn5/ImehtWXLlpEu6XS7txsBZQMYOXIkN9xwA2P+9z/YuZOP3n+fK0eO8GFyMhw9yt+of5rm\n9gaqVVNlBLNv9epd14qq5zrlc6h1wCooy2sjlCW2ewHXvJ7tfW5XPYBJzgrmZjweulXcOHPtDHHJ\ncTSr1izPZ/N3zWfQT4NoVLURjdIb0aZOG3rf0ZtW1Vsx9MWh3HHHHTz99NNw/jwvPf00jdLTGW5z\naph+6RJBKK8UUB4e5StVoqxdQdu0Ua8NGxZ7/11XQ7cKOvFv1DLGZrLmgoU5D4ShFLAxKhPeL7Z7\n2DMPDHJWMDcjGRnC/v1Qq5YqA2LiPJP+nMSo8FGkZKTkOP5yu5eZct8UrFYrpWwKNXnyZDp16kTb\ntm1BhId69ODJW2+lX5kysGMHj69bR4/kZJ6ytbEQ5SPZqlw5aNlS1Waxby1bFsuHpWfVLXv6DrsF\n1RfnnQeiyBn2VcF2zChIs2ahAhEyf763bXTFk5T0FNl6eqt89tdnMmjpIGk4taHM3+X4y5y9fba8\n+turMm/nPFn0+yKJPR+b+Vm/fv3krxUrRJYvFxk7VrpUrSprqlXLtPI+ArI2m9U3PDBQzt1zj8io\nUSILF4r8849IWpqn/mxNuGp9LYhPgLdRyw73AD+h6k46wwFUpIYdf9sxoyDvvaee8/Dh3n501w9W\nB/mERETu/fZeFcht2/zf85f2s9pL1PGoPOfOmjVLzp8/L3Lhgsi6ddLgxhtlb9++Im3bivj7yy0g\nW7Mp6f+B7C1dWuTWW0Weekr2vfmmJK1YIXL6tMP8Rt4AHZdESqH8Xu0ZA1ajQqScucHbqAX9pbZ7\n9AEWoWqp3m1PAAAgAElEQVRUGgH5/XfhiSdg8GD46KNCzzcpAuuOrmPTyU3sOLuD6NhojsUdA2Db\nkG20qdUmz/nf7foOf19/WgS2INA3kEoVKuHj4wMZGTz/2GOMv/9+Kh0+DLt3E7h8OTutVmrZrq2H\nquHYACAggJHlyvHa3XdTrW1bGDCA5PLl8fewj69ew1dfYH8R22gDvIIqi2eU9Uk78s47obJuXYS3\nf0RLJBcTL0p4TLgkpyU7/DxoUlBmr1pmXBm5deat8sTSJyT2WmyO86xWq2zcuFGscXEiGzdKxvTp\n0i4wUNI6dRIJCJAMEH+QeFuvaj14UAICAuTChQue+DPd4jywDJVl4HhR/vsNioi5JGJIrGJl9LrR\n7Dq3i93nd3PiikpQbcHCtZHXKOdXLs81UzZPoU6lOjSt1pT6AfUp7VMaREg9fpxFM2bwRI0asG8f\ncR99RJPmzTl79qxbyu7lh55LIlGoHm4LkGA7JmRZs4szplIWE64kX2HP+T0cjTvKoFZ5jfdXU65S\n6aMspwjfUr7UD6hP88DmLH50sQoCz4Y4yOLubvRUyi4OzhFgvXaxDIeplNcJ/yb+y4dRH7L/4n72\nXdjHsbhjCEK9yvWIGR6T5/zLSZf535r/0bBKQxpWbUjDKg1pUKUBZUu7LyODHkpZFngBNVfehcqR\noyUkwALURjmPG5VMpTxzBr79VuU8vvdeL0tlUmQS0xI5dPEQcclxdAnukufzzac2E/JV3qqOXep2\nIXJwpFtk0sP3dQFQHZX35n6UA8FvDs7LVwZU2hA9Q7X0Jsz+ZsuWYHbtUsnIq1f3okQmulDapzQ1\nytcguHKww89LWUpxc+WbaVi1IVVvqAqoIXCzas14rOVjec7fdHITned0ZuWhlWw+tZkDFw9wIfEC\nPqV8qFK2SoGy6On7mt1rxxelnFqtp98A0zFW/ZDsmMNXk0zSMtK4lnrNoZLNiZ7DM788k+d4nyZ9\n+GnAT3mOx8bHcvLKSepXqZ/Zntae0lFcTXo+77VwB8ql7jg5jUSu5ujRQhPUMkxV1NrqVx64p0kx\nprRP6Xx7vUGtBtGxTkcOXTzEoUuHOHTxEEcuHyGktuPC5sv2L+OFlS8AUNm/Mj0b9HR4XkE4UspW\nqGTGdspm2xecqzNpn51ld0r3FPtR2RJKoVwpTaU0cZnSPqWV433VRk6dX7Z0WW6pfgtHLh8hLjmO\npDTt6S3cpTClUDlY66HiKOugSum5OpzVkpAZVBGiF1HJtZY6aM/h8FUEwsPV/PI6jiQy8QAiwoXE\nCySnJ1O3cl3wfOeUh5koQ4/dK6gKKguBq3RGzWuzJ8/yQaUCCUaV2duJiuHMzrJ82nPogfHQQ8ql\n0nRSN9ETdEycVRTao3oqe999iaLVp4wCLuc61g6llMdQSzYLUQVuuwBTgC+ACC036W0r8vfSS5A7\n24WJiadwVwKVVHIut1QDrDrf4yZyroWeQv0YrMcJB4fstejtwc7PPAPLlkGTJlC1qs7SmpQYcidj\n1oq7lHIaKtQrEBUZ8ggwWud7FHlNI3fmAYsFfvrJrIdjUjTs/1euKqe7lPI7VP0Re46eh9A/R89p\nVEIvO0Go3rJImApp4m3cZREqi5pTdkL1aFGo/D7JRWgzmJz1RHxRgdPdUXlht6Aqbzmj/Lb5t3PE\nxMDNN2sR1cQkC63OA+4y9MxDpVqZiqq+1Rz4tgjtfQ9sQiXvsidkTgeGohwE9qKCqJ3ujcPCwpwa\nWkydqmrgmAnBTbQSGRmZw3bhLO4avjZHKaWddSjFcZWB+RxfZdvcRkqKKlhVuii2YxMTDbhr+Pod\nyvf1T9v+HcBLqKI/RkDT8NXEpCjo4ftaFOyL+76oSJGTqDllHYyVOIuwsDCX874ePKgyHQYG6i+X\nyfWDq9ZXvXvK4EI+P6bz/VzF5Z4yLg7atVMVu+bNg7vu0lkyk+sOPTMPXM+4rJTnzkHfvrBpE1Sq\nBMePq1cTk/zw9vDVzu3AKFTPab+Hp0K3nMLV4Wv16hAZCR98oJZJTIU0yQ+jDF/tHATeAPaQ073u\nmJvupxW3GXqs1mJfAsNEZ4yyTnkBVUckBqWI9u265soVuPVWVfXNxMRV3OVUdgo1fC2HKvbTDBVW\nZZRyeGH2N3rWp5w1S/WSjz6qW5MmxRh31ad0lfkoZfyHnMPXpx2f7nHcMnwVUVbZG27IefziRahS\nxQycLqkYxfp6AJUrx6gr9B5zHhCB229Xju6jR0OvXqZyljSMMqfcRE43uxLLiRNq2WTLFujfHy5c\n8LZEJkbHXUsiIaj0HEcBe2XR62JJRCt168KxY2q+ee2a6QVUkjDakkjdfI4bpViQYXxf58+H+Hh4\n/nlvS2LiLoziPDCYnOkl7Rrwrpvul52HUJnvKqLSS67xwD1dQgQ+/hgmTvS2JCZGwl1zygTbFg9k\noMofBLvpXrlZBjyHqocywEP3dAmLBRYtgrvvzvvZ1Knwzz+el8nE+3jKDlgG+J2sSl5a0Zr3FWAC\nKoRsp4P2DDN8dcSBAyp5F8Cdd8K6dWaakuKMUayvuSmHyj7nKnNQCpgdH1RWg54oS+9AlIOCBaWc\nq3CskIanTBk1x6xQQYWImQpZsnBXT5k9aXIpVFa7d1FZ7lwlmJw5ekKAULKU9S3bawLwFKow0U5U\n/tfcGLqntJOQoBwP6tTJeXzJEjh5El591TtymWjDKIae3mQZd9KBc7heLCg/8sv7OgwnlN9R3lej\nUa6c2nIzezY89VTe4yKmY4IRKGreV3c9Qn+gH3lDt4pifQ0mZ0/ZD9VLDrHtDyJLKQujWPSU+XH4\nMNSqldedr1+/rNc+ffJ+buIdjNJTLgPiULlfi5JWsiCKlPfVU84D7qBBg7zH4uNVgq/UVFi6FE6d\nMpXS2xgtGfNNZJXDcxfbgIaoHvQMavkjv6x31z3ly6se9KefYM8euCmXWS0lRfnejh9vDnGNjruU\nchPKpW6XTu19j1pOqYqaR76Dssja8776oBwFjBIa5hWCguDllx1/tn69SmGSWyEzMlS4mamoxsFd\nj2If0ADj+r4W6zmlKxw+rIa0uUfrS5bA8OHKgeGxx+Bed49vSiBGmVPe56Z2daM4zyldoUEDx3PR\nTZvgzBmVma9OnbxKaaY3cR2jOaQbnRLXU+aHiJqDrl0L3brBLbfk/PzFF1U86NNGCU8vhhilpzQ8\nJa2nzA+LBVq2VJsjNm+GZ5/Ne/yLL8DfHzp2hPr1zTmpI8yeUhtmT+kkKSmqjkr2IayIWieNjVX7\nu3dDixbeka84oLWnLKlelWH2N3omzroe8fXN2wump6vjZcsq6+3YsXmVtksXlUDMz8+z8hoJoyXO\nMjpmT+lGDh6EHj1UxoXsJCZCaCi0aQNt2zo2PF2PGCVxltExldKNpKQohWzcOOfxP/+EDh3U+yZN\nYF+uVeWMDNUrX2/WXqOGbhkOZ4vGOoNe7Ri5LS3tlSmTVyEBatRQPWWvXtC8ed62IiPhPhcX04z4\nvblaNLZEK6Vellcj/kPo3ZYe7dWrB2FhsHw5tGiRt609e6CZgxyICxdC06YwYAAsXuwe2dzRVteu\nXQ1VydnERDPDhzsuYx8dDfv3q61hw7wZ6P/4Q6XxvF4wldLEUDgqYz92LPznP7BrF7Ry4Ki5YEHW\n8kx2VqxQc9tmzVSNl4AA3cV1CyXS0FO/fn05cuSIt8UwKTmkAU4vDpXIOeWRI0cQEd220NDQ674t\nUzbXN8BB/58/JVIpQV/rq4mJI1y1vpbYOaUrX5aJiRbsvtVjxzrtzAOYbna6udnp6a5n1Lb0bu96\nl81VN7sSO3zVEz0jTYzalt7tlSTZtFIira+YbnYmHsR0szMxKeaYc0ozdMvETZihW9owh68mHsMM\ncnaOMPsbs6c0cRdmT6kNs6c08RimocfEpJhjKqWJicEw55TmnNLETZhzSm2Yc0oTj2HOKU1Mijmm\nUpqYGAxTKU1MDIa74ylvQxVyvRNV3FWA48AGYAEQ7eb754tZS8TE3RixlsivwGXgF2ALcNZ2v5pA\nO6A3UBl4wI0y5Idp6DHxGEbKkF4dOFfIOYHAeTfKkB+mUpp4DCNZXwtTSHCPQpYDtuKdHtjEpMi4\nUynjgWvZtqtADDAbqOrG+74JLHJj+yYmbsWdSlkeqJBtqwi0BfYCMzW08zWq192d63hPYD9wCBhh\nO3aPrf0LLkttYuJlvOXREw3c6uS5nVG97jzAXm/YBzgA3A2cRg1XBwKPo4avzYAk4GGUxTc35pzS\nxGMUh/LqpdHmcxuFWk7JTjvgMHDMtr8QeAgYbdt/CtVbmppnUuxwp1L2QylF9l+IAGAAsKSIbd8E\nnMy2fwpon23/m8IayJ731VyvNNGTyMhIfvstkk2b4K67tF/vzuHrXHL2VAJcBCKBlRrbCgaWkzV8\n7YeaUw6x7Q9CKeUwJ9szh68mbsVqhebNYfp06N7dOMPXwQV8djtqHugqp4GgbPtBqN7SaUyPHhO9\nSEtTpeMrVco6VqoUDBsWyfLlkZrb86Tva3PgPdRcUIv11RHbgIaoHtQPNST+pYhtmpho4upVmDQJ\n6teH0aPzft6sWU5FdRZ3W1/rAf9BWUZTUUrUliwDjTN8D3RBrW2eB94B5gD3AZNRRqOvgA81tGkO\nX02KzJo10KOHet+mDWzZonrI3BjJ+vonqhdbDPRBOQ4cRZtCglJoR6yybS5hDl9Nisrdd8Ozz8KD\nD8IDD+RVSCM6pP8MtEAZaBYBm1FKWc+N93QWs6c00cTgwfDWW9CkifZrjeT72gc1VN0NvIvqKQPI\nuXThNcz6lCZaqFcPJk/Wdo2r9Sk96dFTHeiPGo4GkdN66mnMntLEIXFxsH8/3HFHzuNXrkB6OlR1\nwWvbSD1lbs4B04AOKNc5r2L2lCbZiYuDoUOhdm3o2xdSU3N+XqmSdoU0Yk/5NfA5+a9HtgdeAJ52\nowz5YfaUJjlITYXgYDh7Vhlw5sxRCqoHRgpybgn8D7gD5TxuzzxQA2gMbAImAHvcKEN+mEpZgklK\nUkPRChVyHv/1V6hTB1q00Pd+RloS2Q08CZRBRYTUJStHz99AshvvXSjmkkjJZfRopZC5R5b336/v\nfYy4JGJkzJ6yBPPPPzBiBKxY4Zn7GWn4amRMpbzOOX0aZs+GqCjleWPx4n+6WZ/SOcLsb8xaItcf\naWnQoAGsWgVHjyrDTZ06npejONQSuQFI9OD9CsLsKa8TRCAjA3xzWUdefllZUl98Ebp2LV49pSdE\n7YBKllUB5TDQGngOeNED984PUymvE0aPhhtvhFdeyXlcxLuKmB0jOg9MRgUk/2vb34mK+jAx0cTV\nq3mPde0Ky5fnPe5NhbyWco0Poj7g4MWDLl3vqRw9J3Ltp3vovibFnPPn4aOPYOVKtYyxbVvOz++6\nC7oY5Cc+PjWe6Vum88mmT7iYdJG9F/byXd/vNLfjCaU8AXS0vfcDXgb2eeC+BWKuUxoPR0POsmXh\ns8+U8SYgAC5ezOnu5uOjNm+SnJ7MzG0z+fCPDzmfoPKLdwzqyG0ptxnOzc5ONWAKKh2kBfgdpZgX\nPXDv/DDnlAZDBBo2hE2bIDAw52dffglNm0JISF6DjhE4dfUUDaY2ICUjhXY3tWPcXeO45+Z77HNJ\nQxp6jEixVMqkJPVatmzO47GxcOmS6jGqV4fKlT0vmzOEh8Nff8Hu3fDOO0rRstOrFwwZAg895B35\nisKUzVOoX6U+DzR8IFMZ7WhVSk8wD1Vdy04AylndXTRBOcL/APxfPueIETlzRuTXX0UmTBDZujXv\n58OGiUyZkvf4q6+KqL5G5OOP837+3nsiM2bkPb54sciLL4q8+abIhg15Pz9yROTUqbzHT50SiY4W\n2bxZyZybL74Q2bgx7/FHH82S86uv8n5+7ZqI1Zr3uFHIsGbIxcSLmq9DY/5hT1hfWwFx2fYvo+pW\nuov9wH9RuYHudeN9dOeTT5T/5RtvqIXv3FStqlIX5qZ6ddXrNGyYd+gHar0u3YFpbcMGmDEDxo+H\nHTvyfj51KvzwQ97jH34It96qYg5/+inv53//Ddu35z3+0EPqb5s9G7p3z/t5+fLGWcbIjoiw/MBy\nbvviNh778TG3388TI3QLUAW4ZNuvgnZPoq9RVbTOk5X7FdRSiz151mzgY9vx3qh10FmuiexeVqyA\nCxfg6VxBa+3bK2tis2bqfW5CQx23N2KE2vJj3DjHxpABA6BxY4iPh44d835eu7aKuHd0vFUr8PNT\nxpfcPP00+PvnPf7442rzJt988w0DBgzA35GAuRARwo+GM3rdaP46/RcA/yb+y4WEC1QrV83dorqV\nJ1GhW+NQKSYP2I5poTMq0iR7kR8fVLrKYFQphJ1ArlkKy/JpT/ehjRbWrhW5/XavilBi6d+/v4wd\nO7bQ86xWq/RZ2EcIQwhDAj8JlMl/TpaktCTN90Tj8NUTPeU8YDvQDSXcw6jKWFrQUk8kEOgL+AMR\nrgisFyIQHQ235Rqs33knvP++d2Qqafzzzz/s2rWLgQNVUsQPPviA3btzF3DLi8VioU3NNkQei2RE\nxxEMbTeU8n7l3S2uurdH7qJ6tRqoHwH7r0Zuh4LCCCZn6YJHUHNGV0oXSGi2saA71itjYmDYMBU4\nu3u3/oGzJs5x6NAhQkJC2L9/PzfeeKOmaxPTEklJTyGgrIMxegHkjqMcO3YsGMz6OgzlYrcXNfy0\nb1oJznVdP3LOGQehcgA5gysjH0088ICyMlaqJPLLL26/nYkNq9Uqr7/+uvz777+Zx5YtWyZXr151\neP7V5Ksyc+tMsbrR7IsBh6+voNJ/6O0sUKR6Iu726Jk4UVlLP/4YatRwyy1MHGCxWIiPj+eDDz5g\n4sSJADz44IN5zkvNSGXW9lm8u+Fdziecp1q5avRt2ldXWVzNPOApNzsHrsRFJns9kTOoeiL5ZVP3\nOI0bwzeFFuQz0YOIiAg2b97MyJEjATVcvHTpksNzRYSf9v/Em2ve5MjlIwCE1A6hdkWdsmTpgCfG\nuV8DjVDl7+yJ+wSYpKENveuJ2EYV+rB9O5QurZYJTDzPmTNnaNmyJbt376ZWrVoFnrtwz0IG/qh+\nuxtXbcxHd3/EQ40fyuOFoydG9OgJs22hts3+3ptIaGioRERE6DJnmDNHpE4dkbNndWnOpBCsVqvc\nd999cuLEicxj+/btc2pemJKeIh2+6iDTt0yXtIw0d4opEREREhoaqnlOaSjt9SAiOvu+hoerpY7S\npXVt1iQbIpLZo40aNYr4+HimTp1apHY8gREd0gOBN4FmgN2VWlDrlt5CQkNDzdCtYsSSJUtYs2YN\nX3zxBQDx8fEAlC+fd+1QRFi4ZyH+vv483PRhj8qZHbuhR+uSiCeUcg2q6tYbwPOoCs8XUIrqLXTv\nKU30JzU1FT8/PwDi4uJo0aIFO3bsINCRg6+N6LPRDF01lE0nN1GrQi0ODj1IOb9ynhLZIUZMB1IV\n5ZeaCqxHlSnwZi8JFK2WyAcfqLJouetNmOhHRkYGrVu3Zt8+FQ9fuXJlDhw4kK9CXk66zEsrX6Lt\nrLZsOrmJ6uWq827Xd/H3LdzH1V24WkvEE2y2vf4O9EJFiBzxnjhAEZwHtmwR8fFRjgFRUXqYA0zs\nZGRkyJUrVzL3P/nkExk1apRT13aZ00UIQ3zG+sirv70qV5KvFH6Rh0CjoccT9ELFU7YEIoEdQN7V\nXM/i8hf85JNKIV95RcenZiIiIrNnz5a+fftm7qenpzvtabMuZp10ndtVdp/b7S7xXAYDKmUnJ495\nEpeXRDIyRL7/XiRJe7CAiQMuXswKGk5MTJR27drlOKYFd7rKuYKRl0SiUWFXhR3zJCKmocfrZGRk\n0LhxY+bPn097WwCpFLBcISIs3beUexvc67GIDT0wkqEnBHgdlTjrNdv711HOA54sVmtiIKxWa6YL\nnI+PD2PGjGHNmjWZn+enkMfjjtPr+148svgRRq8b7RFZvYU7fV/9UFnRfWyvdq6iwq68ihaHdCNl\n2y7uLF68mC+++ILw8HAsFgtPPfVUgeenW9OZ+tdUxkSMITEtkcr+lWkZ2LLAa4yCkUvh1UXVpASl\noOWBKx64b0FoGr6++KLKjRMaCjVrulGq65T4+PjMRf709HQeeOABvvrqK2oXUio5ITWBLnO7sP2s\nSvgzoPkAJvecTI3yxSvsxkjDVzsfAhWBcqh4yL1413FAM+++q3LRJHu1zG3xRETo3r07q1evBsDX\n15fVq1cXqpAA5fzK0eTGJtSpVIcVA1ew8JGFritkMbIheKKn/Bu4BXgctUb5FmpZxJtjENPQ42bS\n0tIobXME/vXXX1m6dCmzZ8/W3M6lpEv4+fi5bthJT4dJk+D339VWyvPmDCNGifyDSmy1GOhqO7bL\na9IovGYmLwls3bpV2rVrJ+np6ZnHCluucMtyxrZtIq1bZyWbXb1a/3s4AQbM+/oFKrlVeWADKijZ\n23PKIrnZmRRMmzZtKF++PJs2bco8VlB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"text": [  ""  ]  }  ],  "prompt_number": 16  },  {  "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": 17  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "print mdot_fiducial"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "6e+17\n"  ]  }  ],  "prompt_number": 18  },  {  "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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J4o2deipMnAjbbx+eXCVCVvIMfvutLJZ16piSXISUXK7JAw7Qs+KZZ5Ryy0hI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\n5e5nk2dQ5O1c1dMA/Q575qC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"text": [  ""  ]  }  ],  "prompt_number": 19  },  {  "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()\n",  "print histo"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "output_type": "stream",  "stream": "stdout",  "text": [  "1.49627749635e+29\n",  "(array([ 3.71589063e+15, 1.27502784e+15, 3.64436700e+13,\n",  " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]), array([250, 350, 450, 550, 650, 750, 850]), )\n"  ]  },  {  "metadata": {},  "output_type": "display_data",  "png": 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"text": [  ""  ]  }  ],  "prompt_number": 20  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "import astropy.units as u\n",  "import astropy.constants as c\n",  "\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[1][i]+50, (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": [  "300 0.438184706883\n",  "400 0.112765234197\n",  "500 0.00257850305119\n"  ]  }  ],  "prompt_number": 21  },  {  "cell_type": "code",  "collapsed": false,  "input": [  "(histo[1][i]+50)*u.km/u.s, model_mass_flux((histo[1][i]+50)*u.km/u.s, n, distance).cgs"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "pyout",  "prompt_number": 22,  "text": [  "(, )"  ]  }  ],  "prompt_number": 22  },  {  "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": 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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\nE9esqaSx0cf3vz+G3NwMjj66hLffXs3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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": [  "fig = plt.figure(figsize=(4,3))\n",  "ax = fig.add_subplot(111)\n",  "ax.plot(v[0::5].value, xfrac[1::5].value)\n",  "ax.set_xlabel('pre-shock velocity [km s$^{-1}$]')\n",  "ax.set_ylabel('Fraction of kinetic energy\\nradiated in X-rays')\n",  "\n",  "fig.savefig('fracxray.png')\n",  "#fig.savefig(plotdir + 'rhocool/rhocool.png', dpi=600)\n",  "#fig.savefig(plotdir + 'rhocool/rhocool.eps')"  ],  "language": "python",  "metadata": {},  "outputs": [  {  "metadata": {},  "output_type": "display_data",  "png": 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/JcAXSIwARgOX+9j/UejLvTP65zgRaJzl/tuiHRbxwpROf9HtKTNRrCLIT9wx\nTTtyilrAx8CRSKGjwZb1nXOQgsdvbxmPHOdVpQEKUziZ2IjJr76jLAf2Srjmhw110BczEb8/P+i/\n8Yc+978n8oHugUT5deBPPvbfBRgSd34nEohs919CRWFKt7/90Ag7ykXAE6k6DFOAZTrsgJT5B2Ay\nGlrXc85xHqM/uP2pGHbgFriZDv8BegLb4q751XeUCBLHT4DuPtpwMPAT8AwwG8Wd1fap70QuAp53\nnvvV/2pgAPA1sAJYg0YtfvW/EI1g9kT/lP+M/lH6/fNPt7/E699VZkeuCtM2oBn6pZyERi/xRIO9\nkpHqtVScCfyI/BvJdlBnq+94WqPhdSfgH+iP1Q8baqCV0EHO43rgVp/6jqcm0Bl4Mcn9s9V/Y6AH\nGkHsD+yKAoH96v8zoB/y67yN/jlv9bH/ZPfL9D1zVpiirAXeRI61H9CwEjR0/NF57jUo0wsnov16\ny9F/61OAkT71Hc9K5/En4BU0d/fDhm+d42PnfCwSqO996DueTsAs9PnBv5//scA0YBWwBXgZaIW/\nn/9px452wC/IAe333186/X3rXG+QcD0TdoSKvYmtAuwCfAB0QA656Pz2VrZ3yNVEU5FlZCYPVTti\nPiY/+64F7OY8rw1MRf4Wv2z4APiD87yv06/fP/sXkNM5il/9N0XTqV2c+wxHI1Y/P/++zuOByG8T\nXXzIZv8lbO/8Tre/GWgFt4g8dX4fjfwbc9GSeU/n+p7I7+K2hHk7WiH4DDg9Q3a0I7Yq52ffB6PP\nPhd9SaKBqH7Z0BSNmOahEUMdH/sGifHPxMQZn/vvRSxcYDhagfKz/w+c/ucSc2Fks//nkT9tE9pA\nf2UV+4uGCyxFOdUMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzCScjbad2fEket75QxvlFBx\nS0HQ90nktyq+b6rzWAe4Ns33lgAb0C6C6Hk2Plsq6qOtNYnbRHZGkd3lbJ93qyAwYcoNisjMHrOw\nUtXd6dFSXnsA11Xh/UsJNm/892hrTyIbUfaMFf6aEx5MmIKnBO0rGoVS1b6INomWoKRkw9F/8oYo\nxcYMlHblCdx/f7VRxoW5zvu6oi9+MfAU2l83Af1XBmXjXOAcN8Td5y/oSzMXGOHSTyM02miRcP1+\nKopEX+Bm57kX+73YE63GHB1pPYBSksxBG0z/J+G996EUvF6J/2wl6PfzDPp9PIs2TU9Fe8WOc3l/\n4u/gAjTvJ+hRAAAC/UlEQVRdOz3uaJWGPYbhOyUov1T0D3Uo+iIfhHLtRNORHoE2DRc754OAy1zu\ndz4SoCi7O31sBo5xro0GLkFfvPlICGsj0WqGMoKWEZtG7BFn6wKUe3s22lCdSDOgNO78U5QULJX9\n65xHr/bUTXjfQVSchh2E0qKAxG9p3GeIUpLwnmSfrQT97I5Eo9ZP0O8IlALnFbbH7Xfgxr4ob3hi\nTqcobimUC4IwFbwsZL4BPnKej0L/3ccCXxErNtABfXE/cc53QVOBROYDD6FRxBvAFPTHvdx5DfSl\nLUHpeV9Gvhac523RCGsMytgIyvsTZV/gVeBcYilV45nrtNnPefwF5d4514P9bTzasybhfYnT3K9Q\nzqRmyI8zO+EzJCPZZ1uOBBbncZLzfCH6OSbi9jtw40fgYg92FRwmTOEg3sdSFHe+PqHdcJRWIp7r\nUHrdCEq1ugRltzwDuBd4F03FyuPesxUJQ7Q/Knkezxr0xW+LuzCBpqNdkCi8UIn98USqYE8yhqAU\nHfVQcjUvJPts8T+7bSgFSPS523fI7Xdwj1fDDSMMlKA/8GiS+CHAjWw/PTkC+TT2cc73RMnCEtmP\nmP/oTDTqSLzXzUAf9OWZR2zqtADlW2pCxalT9LHEaVMLFQLoluQzNUGZHsuI5YNOZX90Stbcoz17\nJLxvL1TSKp4diRVPdRO16GdJPE/8bIntnkFTNbfXoiT+Dtyme16wqZwRKGUoE+LTaKrwOBptxI+k\nFqOqGO8gv8lmNFr6OuFeRwP9if1nv5aKo7AoEeQsHkZsujiY2CrRfcD7aHQ1m1jJpgjwO/rCTUTi\n8EbCvRehfNjfEktan8r+qG2z07Qn+r5VyBm9AGVH7O3c/z00hfO66uf22Ra4vD+S5HkUt9+BYeQU\nJfgfP1MI7ICEt3GS10sI/8+9YEdMFi4QDjJeZaLAaYL8PJNQ3mk3tqDAzNlJXg+SaIBlDSqWCTMM\nwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzCMkPD/AW93vXivnYnuAAAAAElFTkSuQmCC\n",  "text": [  ""  ]  }  ],  "prompt_number": 47  },  {  "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": {}  }  ]  }         

figures/omega_0/omega_0.png  Results.tex  figures/result/result.png  /jet_recol_shocks.ipynb  figures/rhocool/rhocool.png  fitDGTau.tex  figures/DGTaufit/DGTaufit.png