diff --git a/ejercicio1y2.ipynb b/ejercicio1y2.ipynb index b39cb6347a22a2144a99e6c16db14d9799ca52b0..e99f12934c727d98bc341191b1f3c43942e486c2 100644 --- a/ejercicio1y2.ipynb +++ b/ejercicio1y2.ipynb @@ -30,6 +30,33 @@ "* Busque que su código sea semi automático; es indispensable leer los datos desde el propio programa, no copiarlos a mano, y hallar una forma de obtener los tamaños y colores sin declararlos uno a uno." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Diagrama Hertzprung-Russell\n", + "\n", + "Muestra la relación entre la magnitud absoluta y la clase espectral de las estrellas. La magnitud absoluta hace referencia al brillo/luminosidad de la estrella y se define como la magnitud aparente a una distancia de $10 parsecs$ de la estrella.\n", + "\n", + "La magnitud aparente esta relacionada con el logartimo de la densidad de flujo de la estrella.\n", + "\n", + "La clase espectral habla de la composición quÃmica de las estrellas.\n", + "\n", + "** $1 pc = 3.26\\hspace{0.2cm} light-years = 206,000 \\hspace{0.2cm} au = 30.9 \\hspace{0.2cm} trillion \\hspace{0.2cm} km $ [[1]](https://en.wikipedia.org/wiki/Parsec)\n", + "\n", + "La gran mayoria de las estrella se localiza dentro de la diagonal, conocida como secuencia principal, i.e., el Sol se encuentra en la mitad de esta diagonal.\n", + "\n", + "Las estrellas amarillas y rojas se localizan en el grupo de las estrellas gigantes, estas suelen ser una 100 veces mas brillantes que el Sol\n", + "\n", + "Las estrellas rojas mas brillantes son las que se encuentran dentro de grupo de supergigantes, un ejemplo es Betelgeuze, 20.000 veces mas brillante que el Sol y con un radio de 400 veces el radio solar.\n", + "\n", + "Las enanas blancas son númerosas, sin embargo son muy tenues y por lo tanto dificiles de observar.\n", + "\n", + "\n", + "\n", + "Fuente: Fundamental Astronomy, H. Karttunen, et al., editores, Springer-Verlag, New York 2007" + ] + }, { "cell_type": "code", "execution_count": 1, @@ -1528,7 +1555,7 @@ { "data": { "text/plain": [ - "<matplotlib.colorbar.Colorbar at 0x7f821e2ba198>" + "<matplotlib.colorbar.Colorbar at 0x7f59f6850710>" ] }, "execution_count": 11, @@ -2568,7 +2595,7 @@ { "data": { "text/plain": [ - "<matplotlib.colorbar.Colorbar at 0x7f821e254b38>" + "<matplotlib.colorbar.Colorbar at 0x7f59f67790f0>" ] }, "execution_count": 13, @@ -2658,7 +2685,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 16, "metadata": { "scrolled": false }, @@ -3624,7 +3651,7 @@ { "data": { "text/html": [ - "<img 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\" 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\" width=\"1000\">" ], "text/plain": [ "<IPython.core.display.HTML object>" @@ -3632,6 +3659,13 @@ }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "MovieWriter ffmpeg unavailable; using Pillow instead.\n" + ] } ], "source": [ @@ -3697,7 +3731,7 @@ "# -- ES MEJOR VER EL GIF QUE SE GUARDA\n", "ani = FuncAnimation (fig, animate, frames=106, interval=300)\n", "#ani\n", - "#ani.save('sine_wave.gif')" + "ani.save('sine_wave.gif')" ] }, {