diff --git a/ENTREGA.ipynb b/ENTREGA.ipynb index e5ffd49303eb1b87853feda994ccd2f11d4b8cec..89952e87bd797c3340841588dc74b423655e27f7 100644 --- a/ENTREGA.ipynb +++ b/ENTREGA.ipynb @@ -67,7 +67,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -111,7 +111,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 5, "metadata": { "scrolled": true }, @@ -131,7 +131,7 @@ "from matplotlib import cm\n", "import matplotlib.style\n", "import matplotlib as mpl\n", - "#mpl.style.use('classic') # seleccion del estilo del gráfico\n", + "mpl.style.use('classic') # seleccion del estilo del gráfico\n", "fig, ax = plt.subplots()\n", "plt.scatter(temp, np.log(lum), s=10*rad, c=temp_color, norm=matplotlib.colors.LogNorm(), \n", " edgecolors='none', alpha= 0.8)\n", @@ -159,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -171,7 +171,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] @@ -186,29 +186,41 @@ "from matplotlib.animation import FuncAnimation\n", "plt.style.use('seaborn-pastel')\n", "\n", + "log_lum = np.log(lum)\n", "\n", "fig = plt.figure()\n", "#ax1 = plt.axes(xlim=(min(temp), max(temp)), ylim=(min(lum), max(lum)))\n", "#line, = ax.scatter([], [])\n", "fig.tight_layout()\n", - "ax1 = plt.subplot(111, xlim=(min(temp), max(temp)), ylim=(min(lum), max(lum)))\n", - "scat = ax1.scatter(x= lum, y=temp, c=temp, s=70)\n", + "ax1 = plt.subplot(111, xlim=(min(temp), max(temp)), ylim=(min(log_lum), max(log_lum)))\n", + "plt.title(\"Diagrama Hertzsprung-Russell\")\n", + "plt.xlabel(\"Temperatura(K)\")\n", + "plt.ylabel(\"log(Luminosidad(Lsun))\")\n", + "plt.text(0.5, 0.5, 'Main Sequence', transform=ax.transAxes)\n", + "plt.text(0.7, 0.85, 'Red SuperGiants', transform=ax.transAxes)\n", + "plt.text(0.2, 0.88, 'Blue Giants', transform=ax.transAxes)\n", + "plt.text(0.8, 0.70, 'Red Giants', transform=ax.transAxes)\n", + "plt.text(0.50, 0.18, 'White Dwarfs', transform=ax.transAxes)\n", + "ax1.set_xlim(max(temp), min(temp))\n", + "scat = ax1.scatter(temp, log_lum, s=10*rad, c=temp_color, norm=matplotlib.colors.LogNorm(), \n", + " edgecolors='none', alpha= 0.8)\n", " \n", " \n", "\n", "def init():\n", - " scat.set_offsets(np.c_[x,y]) \n", + " scat.set_offsets(np.c_[temp,log_lum]) \n", " return scat,\n", "\n", "def animate(i):\n", " x = temp[0:i:1] \n", - " y = lum[0:i:1] \n", + " y = log_lum[0:i:1] \n", + " #print(y)\n", " #line.set_data(x, y)\n", " scat.set_offsets(np.c_[x,y])\n", " return scat,\n", "\n", "anim = FuncAnimation(fig, animate, init_func=init,\n", - " frames=10, interval=50, blit=True)\n", + " frames=len(temp), interval=200, blit=True)\n", "\n", "\n", "anim.save('sine_wave.gif')\n"