Editing
Appendix/References
(section)
Jump to navigation
Jump to search
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=Appendix of EFE= The presentation of the subject in this book (Ellipsoidal Figures of Equilibrium) is based on the following papers: ==Setup== * [Publication I] [https://www.sciencedirect.com/science/article/pii/0022247X60900251 S. Chandrasekhar (1960)], J. Mathematical Analysis and Applications, 1, 240: ''The virial theorem in hydromagnetics'' * [Publication II] [https://ui.adsabs.harvard.edu/abs/1961ApJ...134..500L/abstract N. R. Lebovitz (1961)], ApJ, 134, 500: ''The virial tensor and its application to self-gravitating fluids'' * [Publication III] [https://ui.adsabs.harvard.edu/abs/1961ApJ...134..662C/abstract S. Chandrasekhar (1961)], ApJ, 134, 662: ''A Theorem on rotating polytropes'' <br /> * [Publication IV] [https://ui.adsabs.harvard.edu/abs/1962ApJ...135..238C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 135, 238: ''On super-potentials in the theory of Newtonian gravitation'' * [Publication VII] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1032C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 136, 1032: ''On the superpotentials in the theory of Newtonian gravitation. II. Tensors of higher rank'' * [Publication VIII] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1037C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 136, 1037: ''The potentials and the superpotentials of homogeneous ellipsoids'' * [Publication XXXV] [https://ui.adsabs.harvard.edu/abs/1968ApJ...152..293C/abstract S. Chandrasekhar (1968)], ApJ, 152, 293: ''The virial equations of the fourth order'' ==Spheroidal & Ellipsoidal Sequences== * [Publication V] [https://ui.adsabs.harvard.edu/abs/1962ApJ...135..248C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 135, 248: ''On the oscillations and the stability of rotating gaseous masses'' * [Publication IX] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1048C/abstract S. Chandrasekhar (1962)], ApJ, 136, 1048: ''On the point of bifurcation along the sequence of the Jacobi ellipsoids'' * [Publication X] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1069C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 136, 1069: ''On the oscillations and the stability of rotating gaseous masses. II. The homogeneous, compressible model'' * [Publication XI] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1082C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 136, 1082: ''On the oscillations and the stability of rotating gaseous masses. III. The distorted polytropes'' * [Publication XIII] [https://ui.adsabs.harvard.edu/abs/1963ApJ...137.1142C/abstract S. Chandrasekhar & N. R. Lebovitz (1963)], ApJ, 137, 1142: ''On the stability of the Jacobi ellipsoids'' * [Publication XIV] [https://ui.adsabs.harvard.edu/abs/1963ApJ...137.1162C/abstract S. Chandrasekhar & N. R. Lebovitz (1963)], ApJ, 137, 1162: ''On the oscillations of the Maclaurin spheroid belonging to the third harmonics'' * [Publication XV] [https://ui.adsabs.harvard.edu/abs/1963ApJ...137.1172C/abstract S. Chandrasekhar & N. R. Lebovitz (1963)], ApJ, 137, 1172: ''The equilibrium and the stability of the Jeans spheroids'' * [Publication XVI] [https://ui.adsabs.harvard.edu/abs/1963ApJ...137.1185C/abstract S. Chandrasekhar (1963)], ApJ, 137, 1185: ''The points of bifurcation along the Maclaurin, the Jacobi, and the Jeans sequences'' * [Publication XXIII] [https://ui.adsabs.harvard.edu/abs/1964ApNr....9..323C/abstract Chandrasekhar & N. R. Lebovitz (1964)], Astrophysica Norvegica, 9, 323: ''On the ellipsoidal figures of equilibrium of homogeneous masses'' * [Publication XXIV] [https://ui.adsabs.harvard.edu/abs/1965ApJ...141.1043C/abstract S. Chandrasekhar (1965)], ApJ, 141, 1043: ''The equilibrium and the stability of the Dedekind ellipsoids'' * [Publication XXV] [https://ui.adsabs.harvard.edu/abs/1965ApJ...142..890C/abstract S. Chandrasekhar (1965)], ApJ, 142, 890: ''The equilibrium and the stability of the Riemann ellipsoids. I'' * [Publication XXVIII] [https://ui.adsabs.harvard.edu/abs/1966ApJ...145..842C/abstract S. Chandrasekhar (1966)], ApJ, 145, 842: ''The equilibrium and the stability of the Riemann ellipsoids. II'' * [Publication XXIX] [https://ui.adsabs.harvard.edu/abs/1966ApJ...145..878L/abstract N. R. Lebovitz (1966)], ApJ, 145, 878: ''On Riemann's criterion for the stability of liquid ellipsoids'' * [Publication XXXVII] [https://ui.adsabs.harvard.edu/abs/1967ApJ...148..825R/abstract C. E. Rosenkilde (1967)], ApJ, 148, 825: ''The tensor virial-theorem including viscous stress and the oscillations of a Maclaurin spheroid'' * [Publication XXXVIII] [https://ui.adsabs.harvard.edu/abs/1967ApJ...149..145R/abstract L. F. Rossner (1967)], ApJ, 149, 145: ''The finite-amplitude oscillations of the Maclaurin spheroids'' ==Binary Systems== * [Publication XIX] [https://ui.adsabs.harvard.edu/abs/1963ApJ...138.1182C/abstract S. Chandrasekhar (1963)], ApJ, 138, 1182: ''The equilibrium and stability of the Roche ellipsoids'' * [Publication XX] [https://ui.adsabs.harvard.edu/abs/1963ApJ...138.1214L/abstract N. R. Lebovitz (1963)], ApJ, 138, 1214: ''On the principle of the exchange of stabilities. I. The Roche ellipsoids'' * [Publication XXI] [https://ui.adsabs.harvard.edu/abs/1964ApJ...140..599C/abstract S. Chandrasekhar (1964)], ApJ, 140, 599: ''The equilibrium and the stability of the Darwin ellipsoids'' * [Publication XXXI] S. Chandrasekhar (1969), [https://books.google.com/books/about/Publications_of_the_Ramanujan_Institute.html?id=KiFLnwEACAAJ Publications of the Ramanujan Institute], 1, 213 - 222: ''The effect of viscous dissipation on the stability of the Roche ellipsoid'' * [Publication XXXIX] [https://ui.adsabs.harvard.edu/abs/1968ApJ...153..511A/abstract M. L. Aizenman (1968)], ApJ, 153, 511: ''The equilibrium and the stability of the Roche-Riemann ellipsoids'' * [Publication XL] [https://ui.adsabs.harvard.edu/abs/1969ApJ...157.1419C/abstract S. Chandrasekhar (1969)], ApJ, 157, 1419: ''The stability of the congruent Darwin ellipsoids'' ==Effects of General Relativity== * [Publication XXVI] [https://ui.adsabs.harvard.edu/abs/1965ApJ...142.1513C/abstract S. Chandrasekhar (1965)], ApJ, 142, 1513: ''The post-Newtonian effects of general relativity on the equilibrium of uniformly rotating bodies. I. The Maclaurin spheroids and the virial theorem'' * [Publication XXX] [https://ui.adsabs.harvard.edu/abs/1967ApJ...147..334C/abstract S. Chandrasekhar (1967)], ApJ, 147, 334: ''The post-Newtonian effects of general relativity on the equilibrium of uniformly rotating bodies. II. The deformed figures of the Maclaurin spheroids'' * [Publication XXXI] [https://ui.adsabs.harvard.edu/abs/1967ApJ...147..383C/abstract S. Chandrasekhar (1967)], ApJ, 147, 383: ''Virial relations for uniformly rotating fluid masses in general relativity'' * [Publication XXXII] [https://ui.adsabs.harvard.edu/abs/1967ApJ...148..621C/abstract S. Chandrasekhar (1967)], ApJ, 148, 621: ''The post-Newtonian effects of general relativity on the equilibrium of uniformly rotating bodies. III. The deformed figures of the Jacobi ellipsoids'' ==Other== * [Publication VI] [https://books.google.com/books/about/Proceedings.html?id=GyZPQwAACAAJ S. Chandrasekhar (1962)], Proc. 4th U. S. Nat. Congress of Applied Mechanics, pp. 9 - 14: ''An approach to the theory of the equilibrium and the stability of rotating masses via the virial theorem and its extensions'' * [Publication XII] [https://ui.adsabs.harvard.edu/abs/1962ApJ...136.1105C/abstract S. Chandrasekhar & N. R. Lebovitz (1962)], ApJ, 136, 1105: ''On the occurrence of multiple frequencies and beats in the β Canis Majoris stars'' * [Publication XVII] [https://ui.adsabs.harvard.edu/abs/1963ApJ...138..185C/abstract S. Chandrasekhar & N. R. Lebovitz (1963)], ApJ, 138, 185: ''Non-radial oscillations and the convective instability of gaseous masses'' * [Publication XVIII] [https://ui.adsabs.harvard.edu/abs/1963ApJ...138..185C/abstract S. Chandrasekhar & P. H. Roberts (1963)], ApJ, 138, 801: ''The ellipticity of a slowly rotating configuration'' * [Publication XXII] [http://inspirehep.net/record/1364947?ln=en S. Chandrasekhar (1964)], Lectures in Theoretical Physics, Vol. VI, Boulder 1963 (Boulder: University of Colorado Press), pp. 1 - 72: ''The higher order virial equations and their applications to the equilibrium and stability of rotating configurations'' * [Publication XXVII] N. R. Lebovitz (1965), lecture notes. Inst. Ap., Cointe-Sclessin, Belgium, p. 29: ''The Riemann ellipsoids'' * [Publication XXXIII] [https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160200203 S. Chandrasekhar (1967)], Communications on Pure and Applied Mathematics, 20, 251: ''Ellipsoidal figures of equilibrium — an historical account'' * [Publication XXXIV] [https://ui.adsabs.harvard.edu/abs/1967ARA%26A...5..465L/abstract N. R. Lebovitz (1967)], Annual Review of Astronomy and Astrophysics, 5, 465: ''Rotating fluid masses''
Summary:
Please note that all contributions to JETohlineWiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
JETohlineWiki:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Log in
Namespaces
Page
Discussion
English
Views
Read
Edit
View history
More
Search
Navigation
Main page
Tiled Menu
Table of Contents
Old (VisTrails) Cover
Appendices
Variables & Parameters
Key Equations
Special Functions
Permissions
Formats
References
lsuPhys
Ramblings
Uploaded Images
Originals
Recent changes
Random page
Help about MediaWiki
Tools
What links here
Related changes
Special pages
Page information