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Ellipsoidal figures of equilibrium, by S. Chandrasekhar.


New Haven, Yale University Press, 1969.
ISBN 0300011164, 9780300011166

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Subjects Astrodynamique.
Ellipsoid.
FLUIDE -- MASSE -- FIGURES ELLIPSOÏDALES D'ÉQUILIBRE.
Fluides, Dynamique des.
Gleichgewicht.
Gleichgewichtsfigur rotierender Flüssigkeiten.
Gravitation.
Liquides.
Masse (physique)
Mathematische fysica.
Natuurkunde.
Rotatie.
Rotating masses of fluid.
Roterende systemen.
Tourbillons (mécanique des fluides)
Wiskundige methoden.
Series Mrs. Hepsa Ely Silliman memorial lectures.
Description ix, 252 pages illustrations 25 cm.
Copyright Date 1969.
Notes Includes bibliographical references (pages 243-247).
Summary Classical investigations on the ellipsoidal figures of equilibrium of liquid masses are here enlarged by Chandrasekhar into a complete theory. The author develops and completes the basic ideas put forth in three fundamental papers by Dirichlet, Dedekind, and Riemann over a century ago, which have been all but ignored since that time. The various problems are solved by a method and a technique that are essentially elementary, and a number of common misconceptions and errors are corrected. After a historical introduction, the author goes on to discuss virial equations of the various orders and to describe his new method; potentials of homogeneous and heterogeneous ellipsoids (including theorems on a class of heterogeneous ellipsoids which enable the treatment of the subject without explicit use of ellipsoidal harmonics); Dirichlet's problem and Dedekind's theorem; Maclaurin spheroids; Jacobi and Dedekind ellipsoid; Riemann ellipsoids; Roche ellipsoids (Including Darwin ellipsoids).
Contents 1. Historical Introduction -- 2. The Virial Equations of the Various Orders -- 3. The Potentials of Homogeneous and Heterogeneous Ellipsoids -- 4. Dirichlet's Problem and Dedekind's Theorem -- 5. The Maclaurin Spheroids -- 6. The Jacobi and the Dedekind Ellipsoids -- 7. The Riemann Ellipsoids -- 8. The Roche Ellipsoids -- Epilogue -- Selected References -- Appendix: List of Papers -- Subject Index -- Index of Symbols.
Network Numbers (OCoLC)57269
(OCoLC)ocm00057269
WorldCat Search OCLC WorldCat
WorldCat Identities Chandrasekhar, S. 1910-1995.
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