Difference between revisions of "User:Tohline/Preface"

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<i>November 18, 1994</i>
<i>November 18, 1994</i>


Much of our present, basic understanding of thestructure, stability, and dynamical evolution of individual stars,  
Much of our present, basic understanding of the structure, stability, and dynamical evolution of individual stars, short-period binary star systems, and the gaseous disks that are associated with numerous types of stellar systems (including galaxies) is derived from an examination of the behavior of a specific set of coupled, partial differential equations. These equations &#8212; most of which also are heavily utilized in studies of continuum flows in terrestrial environments &#8212; are thought to govern the underlying physics of all macroscopic "fluid" systems in astronomy.  Although relatively simple in form, they prove to be very rich in nature.
short-period binary star systems, and the gaseous disks that are associated with numerous types of stellar systems (including galaxies) is derived from an examination of the behavior of a specific set of coupled, partial differential equations. These equations &#8212; most of which also are heavily utilized in studies of continuum flows in terrestrial environments &#8212; are thought to govern the underlying physics of all macroscopic "fluid" systems in  
astronomy.  Although relatively simple in form, they prove to be very rich in nature.


The literature on this subject is enormous, as serious discussions of
The literature on this subject is enormous, as serious discussions of
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*To take advantage of the added dimensions offered by the hypertext medium &#8212; such as color, text/equation linkages, animation, VRML, and access to online computational algorithms &#8212; to effectively illustrate many of these physical principles.
*To take advantage of the added dimensions offered by the hypertext medium &#8212; such as color, text/equation linkages, animation, VRML, and access to online computational algorithms &#8212; to effectively illustrate many of these physical principles.


------
<i>January 24, 2010</i>
In an effort to show the considerable overlap that exists between the discussions presented in this H_Book and the discussions that have appeared previously in the traditional print medium, we have constructed an [http://www.vistrails.org/index.php/User:Tohline/Appendix/Variables_templates appendix containing a set of key physical equations] and, next to each equation, we have identified where this equation first appears in each of five different published texts.  The texts that we have selected are:
# Chandrasekhar, S. (1967; originally 1939), An Introduction to the Study of Stellar Structure (Dover, New York; originally University of Chicago Press, Chicago)
# Landau &amp; Lifschitz
# Kippenhahn, R. &amp; Weigert, A. (1994), Stellar Structure and Evolution (Springer-Verlag, New York)
# Binney, J. &amp; Tremaine, S. (1989), Stellar Dynamics (Princeton University Press, Princeton)
The key equations that we have chosen to highlight are drawn from a wide assortment of sub-fields of physics that feed into and, indeed, are essential to our modern understanding of astrophysical systems, including: classical mechanics, fluid dynamics, thermodynamics &amp; statistical mechanics, quantum mechanics, radiation transport, and relativity.  Each time one of these equations appears in our discussion, it will be marked as a key equation so that, from the information contained in our [http://www.vistrails.org/index.php/User:Tohline/Appendix/Variables_templates key equations appendix], the reader can be guided to parallel discussions of related concepts as they have been in the above-identified, notable historic texts.
It is important to note as well that these key equations, and discussions of the physical concepts that underpin them, can now be found in the pages of Wikipedia.  Where appropriate, we are including links to key Wikipedia discussions in the text of this H_Book.


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{{LSU_HBook_footer}}

Revision as of 17:21, 24 January 2010


Whitworth's (1981) Isothermal Free-Energy Surface
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Preface

Taken from the original version of this HyperText Book (H_Book):

November 18, 1994

Much of our present, basic understanding of the structure, stability, and dynamical evolution of individual stars, short-period binary star systems, and the gaseous disks that are associated with numerous types of stellar systems (including galaxies) is derived from an examination of the behavior of a specific set of coupled, partial differential equations. These equations — most of which also are heavily utilized in studies of continuum flows in terrestrial environments — are thought to govern the underlying physics of all macroscopic "fluid" systems in astronomy. Although relatively simple in form, they prove to be very rich in nature.

The literature on this subject is enormous, as serious discussions of the structure and dynamical properties of stars and galaxies date back more than a century. Although a reasonable attempt is made here to review this vast literature and to provide a bridge between discussions that traditionally have focused on stellar structure and those that have focused on galaxy disks, the primary purpose of this work is two-fold:

  • To document in an electronically accessible format many of the key physical principles that underlie modern discussions of the structure, stability, and dynamical evolution of astrophysical fluid systems;
  • To take advantage of the added dimensions offered by the hypertext medium — such as color, text/equation linkages, animation, VRML, and access to online computational algorithms — to effectively illustrate many of these physical principles.




January 24, 2010

In an effort to show the considerable overlap that exists between the discussions presented in this H_Book and the discussions that have appeared previously in the traditional print medium, we have constructed an appendix containing a set of key physical equations and, next to each equation, we have identified where this equation first appears in each of five different published texts. The texts that we have selected are:

  1. Chandrasekhar, S. (1967; originally 1939), An Introduction to the Study of Stellar Structure (Dover, New York; originally University of Chicago Press, Chicago)
  2. Landau & Lifschitz
  3. Kippenhahn, R. & Weigert, A. (1994), Stellar Structure and Evolution (Springer-Verlag, New York)
  4. Binney, J. & Tremaine, S. (1989), Stellar Dynamics (Princeton University Press, Princeton)

The key equations that we have chosen to highlight are drawn from a wide assortment of sub-fields of physics that feed into and, indeed, are essential to our modern understanding of astrophysical systems, including: classical mechanics, fluid dynamics, thermodynamics & statistical mechanics, quantum mechanics, radiation transport, and relativity. Each time one of these equations appears in our discussion, it will be marked as a key equation so that, from the information contained in our key equations appendix, the reader can be guided to parallel discussions of related concepts as they have been in the above-identified, notable historic texts.

It is important to note as well that these key equations, and discussions of the physical concepts that underpin them, can now be found in the pages of Wikipedia. Where appropriate, we are including links to key Wikipedia discussions in the text of this H_Book.

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation