(* Content-type: application/vnd.wolfram.cdf.text *) (*** Wolfram CDF File ***) (* http://www.wolfram.com/cdf *) (* CreatedBy='Mathematica 9.0' *) (*************************************************************************) (* *) (* The Mathematica License under which this file was created prohibits *) (* restricting third parties in receipt of this file from republishing *) (* or redistributing it by any means, including but not limited to *) (* rights management or terms of use, without the express consent of *) (* Wolfram Research, Inc. For additional information concerning CDF *) (* licensing and redistribution see: *) (* *) (* www.wolfram.com/cdf/adopting-cdf/licensing-options.html *) (* *) (*************************************************************************) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 1063, 20] NotebookDataLength[ 1975899, 33748] NotebookOptionsPosition[ 1965382, 33424] NotebookOutlinePosition[ 1967239, 33491] CellTagsIndexPosition[ 1967196, 33488] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[ CounterBox["BookChapterNumber"]], "BookChapterNumber", CounterAssignments->{{"BookChapterNumber", 2}}], Cell["Las dimensiones del cosmos", "Title"], Cell[CellGroupData[{ Cell["\<\ Guillermo S\[AAcute]nchez (http://diarium.usal.es/guillermo)\ \>", "Author"], Cell["\<\ \[CapitalUAcute]ltima actualizaci\[OAcute]n: 2013-06-04\ \>", "Date"] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ CounterBox["BookChapterNumber"], ".", CounterBox["Section"], ". Sobre la elaboraci\[OAcute]n es este art\[IAcute]culo." }], "Subsubsection"], Cell[TextData[{ "Todos los c\[AAcute]lculos realizados para elaborar este art\[IAcute]culo \ est\[AAcute]n realizados con el programa ", StyleBox["Mathematica", FontSlant->"Italic"], " , sin embargo Ud no los ver\[AAcute]. A veces observar\[AAcute] que alg\ \[UAcute]n texto aparece en ingl\[EAcute]s esto es debido a que se muestra \ directamente el resultado de la salida del programa. Si est\[AAcute] \ interesado en el uso de este programa en c\[AAcute]lculos \ astr\[OAcute]nomicos y otros muchos campos puede visitar: ", ButtonBox["http://diarium.usal.es/guillermo/mathematica/", BaseStyle->"Hyperlink", ButtonData->{ URL["http://diarium.usal.es/guillermo/mathematica/"], None}, ButtonNote->"http://diarium.usal.es/guillermo/mathematica/"], " . " }], "Text", FontSize->10] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ CounterBox["BookChapterNumber"], ".", CounterBox["Section"], ". El cosmos" }], "Section"], Cell[TextData[{ "A lo largo de la Historia probablemente todas las culturas han mirado al \ cielo y se han hecho preguntas sobre lo que ve\[IAcute]an normalmente las \ respondieron creando mitos y leyendas. Fueron los griegos los que empezaron \ a vislumbrar una concepci\[OAcute]n racional del Cosmos. Pensaban que el \ Universo era un conjunto de esperas conc\[EAcute]ntricas rotatorias con la \ Tierra en el centro. Arist\[OAcute]teles (384 -322 a.C.) distingu\[IAcute]a \ dos regiones en el cosmos: Una regi\[OAcute]n, que abarcaba desde la Tierra \ hasta la Luna, constituida por los cuatro elementos de Emp\[EAcute]docles \ (tierra, agua, aire y el fuego) y otra regi\[OAcute]n, la que se extend\ \[IAcute]a m\[AAcute]s all\[AAcute] de la Luna, estaba formada por los astros \ que describ\[IAcute]an movimientos circulares constituidos por un quinto \ elemento que denomin\[OAcute] ", StyleBox["quinta essencia", FontSlant->"Italic"], ". Esta regi\[OAcute]n estaba inmersa en una sustancia et\[EAcute]rea (el \ \[EAcute]ter) que ten\[IAcute]a un l\[IAcute]mite espacial. Para Arist\ \[OAcute]teles el vac\[IAcute]o no ten\[IAcute]a sentido. Cre\[IAcute]a en un \ universo infinito en el tiempo y limitado en el espacio. Esta descripci\ \[OAcute]n del cosmos ser\[IAcute]a el paradigma dominante en Occidente \ durante casi dos mil quinientos a\[NTilde]os. En oposici\[OAcute]n al modelo \ de Arist\[OAcute]teles estaba el Aristarco de Samos (c. 310-230 a.C.) que \ propon\[IAcute]a un sistema helioc\[EAcute]ntrico en el que el Sol permanec\ \[IAcute]a inm\[OAcute]vil en el centro del Universo y las estrellas estaban \ fijas en una esfera exterior conc\[EAcute]ntrica con el Sol. La Luna giraba \ alrededor de la Tierra. Los planetas, incluida la Tierra, giraban en torno al \ Sol. Al parecer a esta idea hab\[IAcute]a llegado por el tama\[NTilde]o y \ distancias relativas de los principales astros que el mismo midi\[OAcute]. \ Concluy\[OAcute] que el Sol ten\[IAcute]a un volumen unas 300 veces mayor que \ la Tierra y esta a su vez 30 veces mayor que la Luna, le pareci\[OAcute] \ natural colocar al cuerpo de mayor tama\[NTilde]o en el centro. Aunque estos \ valores de tama\[NTilde]o eran err\[OAcute]neos el m\[EAcute]todo era b\ \[AAcute]sicamente correcto. Sin embargo el modelo de Aristarco sucumbi\ \[OAcute] por la extraordinaria influencia del pensamiento \ aristot\[EAcute]lico." }], "Texto AM"], Cell[TextData[{ "La astronom\[IAcute]a griega alcanz\[OAcute] su cenit con Claudio Ptolomeo \ (II d.C.) y la publicaci\[OAcute]n de su ", StyleBox["Mathematik\[EAcute] Syntaxis", FontSlant->"Italic"], ", que a trav\[EAcute]s de los \[AAcute]rabes nos llegar\[IAcute]a con el \ nombre de Almagesto (El m\[AAcute]s grande), y su obra posterior Las Hip\ \[OAcute]tesis de los Planetas. En estas introdujo un tratamiento matem\ \[AAcute]tico de los movimientos astron\[OAcute]micos que consegu\[IAcute]a \ explicar con un buen acuerdo con las observaciones el movimiento del Sol, la \ Luna y de los planetas entonces conocidos que como sabemos eran cinco: \ Mercurio, Venus, Marte, J\[UAcute]piter y Saturno (El siguiente planeta, \ Urano, no ser\[IAcute]a descubierto hasta 1781, casi dos siglos despu\ \[EAcute]s de la invenci\[OAcute]n del telescopio). Su m\[EAcute]todo permit\ \[IAcute]a predecir con bastante precisi\[OAcute]n los eclipses de Luna. \ Ptolomeo aunque coloc\[OAcute] a la Tierra un lugar central era consciente \ que no era el objeto mayor del universo. El mayor, seg\[UAcute]n sus c\ \[AAcute]lculos, era el Sol con 5,5 veces el tama\[NTilde]o de la Tierra, \ seguido de J\[UAcute]piter (4,4 veces) y Saturno (4,3 veces). A Mercurio le \ asignaba un tama\[NTilde]o considerablemente menor al terrestre (0,04). El \ modelo de Ptolomeo fue el dominante por m\[AAcute]s de 1300 a\[NTilde]os \ hasta que fue sustituido por el modelo helioc\[EAcute]ntrico de \ Cop\[EAcute]rnico. Aunque Aristarco ya hab\[IAcute]a propuesto un modelo \ helioc\[EAcute]ntrico como el copernicano peor no ten\[IAcute]a capacidad \ predictiva de este sobre el movimiento de los planetas y eclipses. " }], "Texto AM"], Cell["\<\ Hasta que Galileo construy\[OAcute] su propio telescopio (1609) y lo dirigi\ \[OAcute] al cielo el hombre solo hab\[IAcute]a podido contemplar el Universo \ a trav\[EAcute]s de sus ojos, sin otra ayuda. A simple vista, como vimos en \ el cap\[IAcute]tulo 1, solo podemos observar en el mejor de los casos 3000 o \ 4000 estrellas, la Luna, cuatro planetas, y espor\[AAcute]dicamente alg\ \[UAcute]n cometa. Con el desarrollo del telescopio el n\[UAcute]mero de \ estrellas observables se fue incrementando extraordinariamente, se observaron \ nuevos planetas en nuestro sistema solar. El propio Galileo comprob\[OAcute] \ que J\[UAcute]piter ten\[IAcute]a sus lunas, hoy sabemos que casi todos los \ planetas del sistema solar tienen sat\[EAcute]lites, incluso varias decenas. \ Las mejoras de los telescopio permiti\[OAcute] ir detectando nuevos tipos de \ objetos astron\[OAcute]micos, como las nebulosas que hoy las clasificamos en \ dos tipos: Unas que son los restos de una estrella que explota (supernova) y \ la formada por nubes de gas gigantescas donde el gas y el polvo al contraerse \ por la acci\[OAcute]n de la gravedad da origen a nuevas estrellas. Hasta 1920 \ se pensaba que hab\[IAcute]a otro tipo de nebulosas (las galaxias) que se cre\ \[IAcute]an que formaban parte de nuestra propia galaxia la V\[IAcute]a L\ \[AAcute]ctea. Fue Hubble (en cuyo honor se puso el mismo nombre al famoso \ telescopio espacial) quien se dio cuenta que realmente nosotros estamos \ inmersos en una galaxia (la V\[IAcute]a L\[AAcute]ctea) rodeado de \ innumerables galaxias, muchas de ellas mayores que la nuestra (como nuestra \ vecina Andr\[OAcute]meda). \ \>", "Texto AM"], Cell["\<\ La figura muestra la concepci\[OAcute]n actual del Universo: Las estrellas, \ como el Sol, forman parta de una galaxia (en nuestro caso la V\[IAcute]a L\ \[AAcute]ctea). Las galaxias se agrupan formando c\[UAcute]mulos \ gal\[AAcute]cticos que se alejan unos de los otros. Tambi\[EAcute]n sabemos \ que la distribuci\[OAcute]n de estos c\[UAcute]mulos gal\[AAcute]cticos no es \ homog\[EAcute]nea sino que se concentran en una especie de gigantesca red \ dejando enormes espacios oscuros de millones de a\[NTilde]os luz. \ \>", "Item1"], Cell[BoxData[ StyleBox[ GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJzsvWeXJEl2preH5Af+gQVmpkRW6syIcPeISFWptdaiMrNSlczSWnS17p6e 7mo1rUZgoMUAGAC7XAG9OyBIfiCJXfIHkPxG8geQIDA907Kab/nTdmEpIqoi O7JEo+LYiePhYW7Kze59r7Brpccvz5z6L/7Fv/gX1/9rfc0cu9V97dqxZ2b/ K/3oeebG+vH/UhcH9etburh7/YX7fPrpp/r+PP58kftz50nSKH1x5wFUUZR0 zyr8O5/d+fyhj+1XHzd68YuPP9L3p59/9vGnn9zzKT2ipMz8vJ9HnqQn6cGk Tz77lAtbnnaHdJ/kiKWhpOlNUZrwSjyuO1xsKvzRT/Ro681taWCusWJA6Duk Y+voFTTa9/lG8rDabT/+29G7o9nb0m0VbgQtz798U6zfnjvxZ3sM4P1lk2rb YVGxftvuvqb4wU8++eTL7nzyyWeffVboIOT5GHjhQrX5ndBNVahvkt+jTV27 k+PjZ7Yu+D/1rxCU36k8Hczzdgrl5o9F0nxg0lrSzwdAcHYbTW3NYzjkn21i 7T923ORJ+nonY1XbLk+wxD0prS8s+EkPGhQxFPGYShMfffKxWo4AlQtN5WL9 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