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=Journal Articles=
==Explanation==

Three or four templates are available for each individual journal-article reference.  For example, for the Dyson (1893) publication or for BAC84:
<ol type="1">
  <li>Dyson1893</li>
  <li>Dyson1893full</li>
  <li>Dyson1893figure &nbsp; &nbsp; <math>\Leftarrow</math> &nbsp; &nbsp; This template is highlighted below.</li>
  <li>BAC84hereafter</li>
</ol>

If you want to see which of our MediaWiki chapters includes a link to &#8212; and, therefore, likely discusses &#8212; a particular journal article, click the relevant question, "What chapter(s) cite this article?"

==18<sup>th</sup> Century==

==19<sup>th</sup> Century==

===TT1867===
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<tr><td align="left">Acknowledgements (p. ix):<br /><font color="darkgreen">"Those illustrations in which accuracy was considered essential have been photographed on the wood-block by E. W. Dallas, Esq., F.R.S.E., from large drawings carefully executed by ourselves, or by Mr. D. Macfarlane, Assistant to the Professor of Natural Philosophy in the University of Glasgow; and all have been engraved by Mr. J. Adam with a skill which leaves nothing to be desired."</font>
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===Dyson1893a===

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===Dyson1893b===

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<tr><td align="left">Acknowledgements:&nbsp; n/a
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==20<sup>th</sup> Century==

===Decade0===
====Darwin06====
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====Emden07====
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===Decade1===
====Eddington18====
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===Decade2===
====Miller29====

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<tr><td align="left">Acknowledgements (p. 64):<br /><font color="darkgreen">"I am greatly indebted to Professor Eddington for his valuable suggestions and help."</font>
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Click to list chapter(s) on this wiki site that either &hellip; <b>[[Special:WhatLinksHere/Template:Miller29full|cite]]</b> or <b>[[Special:WhatLinksHere/Template:Miller29figure|display an image/figure/table from]]</b> this article.
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===Decade3===

====Milne30====
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<tr><td align="left">Acknowledgements (p. 55):<br /><font color="darkgreen">"It is my pleasant duty to express my thanks to those investigators who have so kindly assisted in these researches.  Mr. Norman Fairclough performed a numerical integration of Emden's <math>n=3</math> equation, working from the boundary inwards, at a crucial stage of the investigation.  His results influenced much of the course of the argument from that point onwards.  For Mr. Fairclough's services I am indebted to a grant from the Department of Scientific and Industrial Research.  To Mr. T. G. Cowling I am indebted for theoretical considerations which indicated that it was the more luminous configurations which might be expected to possess central condensations and not the less luminous.  To Mr. R. H. Fowler I am indebted for exhaustive analysis of the properties of solutions of the differential equations that arose.  His work lifted my results to a level of rigour quite beyond my own powers.  I am especially grateful to him for pointing out to me the existence of a type of solution of Emden's <math>n=\tfrac{3}{2}</math> equation which (though searching for it) I had entirely overlooked."</font>
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====Chandrasekhar35====
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<tr><td align="left">Acknowledgements (p. 225):<br /><font color="darkgreen">"I am indebted to Dr. Comrie and Mr. Sadler for the loan of a manuscript copy of a seven-figure table for <math>\sinh^{-1} x</math>, which was valuable in the computations of <math>f(x)</math>."</font>
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====Sterne37====
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===Decade4===
====LP41====
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====Schwarzschild41====
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<tr><td align="left">Acknowledgements (p. 252):<br /><font color="darkgreen">"I am indebted to Miss Lillian Feinstein for her most helpful co-operation in the work with the punched-card machines."</font>
</td></tr>
<tr><td align="left">
Click to list chapter(s) on this wiki site that either &hellip; <b>[[Special:WhatLinksHere/Template:Schwarzschild41full|cite]]</b> or <b>[[Special:WhatLinksHere/Template:Schwarzschild41figure|display an image/figure/table from]]</b> this article.
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====HC41====
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====Cowling41====
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====SC42====
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Click to list chapter(s) on this wiki site that either &hellip; <b>[[Special:WhatLinksHere/Template: SC42full|cite]]</b> or <b>[[Special:WhatLinksHere/Template: SC42figure|display an image/figure/table from]]</b> this article.
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====Ledoux46====

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====Kopal48====

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====Prasad48====

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<tr><td align="left">Acknowledgements (p. 416):<br /><font color="darkgreen">"I am grateful to Professor E. A. Milne for his kind encouragement and suggestions for improvement."</font>
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====CW49====
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====Prasad49====

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<tr><td align="left">Acknowledgements (p. 107):<br /><font color="darkgreen">"In conclusion I wish to express my sincere thanks to Professor E. A. Milne for his kind interest and suggestions for improvement.  I am also indebted to my friend Dr S. K. Roy for referring me to Kelvin's work."</font>
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===Decade5===

====Chatterji51====

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<tr><td align="left">Acknowledgements (p. 470):<br /><font color="darkgreen">"My very best thanks are due to Prof. A. C. Banerji and Dr. P. L. Bhatnagar for their keen interest and valuable suggestions in the preparation of this paper."</font>
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====Chatterji52====

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<tr><td align="left">Acknowledgements (p. 191):<br /><font color="darkgreen">"I am indebted to Prof. A. C. Banerji for his keen interest in this paper."</font>
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====CF53====
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====Ebert55====

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<tr><td align="left">Acknowledgements (p. 232):<br /><font color="darkgreen">"Herrn Prof. v. Weiss&auml;cker bin ich f&uuml;r die Erm&ouml;glichung dieser Arbeit und f&uuml;r viele Diskussionen zu gro&szlig;em Dank verpflichtet.  Dem Max-Planck-Institut f&uuml;r Physik danke ich f&uuml;r die Gew&auml;hrung eines Stipendiums."</font>
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====Bonnor56====
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====MS56====
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<tr><td align="left">Acknowledgements (p. 513):<br /><font color="darkgreen">"One of us (L. M.) wishes to record with thanks the generous financial aid of the Commonwealth Fund of New York, and the warm Hospitality of the Princeton University Observatory."</font>
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====LW58====
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===Decade6===
====Lebovitz61====

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<tr><td align="left">Acknowledgements (p. 532):<br /><font color="darkgreen">"I wish to thank Professor S. Chandrasekhar for suggesting the development of the virial tensor method, as well as its application to the problem of self-gravitating fluids.  His advice and encouragement while the problem was being solved were invaluable.  This work was done during the tenure of a National Science Foundation Pre-doctoral Fellowship, which is gratefully acknowledged."</font>
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====PG61====

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====Hunter62====

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<tr><td align="left">Acknowledgements (p. 608):<br /><font color="darkgreen">"I am very grateful to Dr. L. Mestel for introducing me to this problem and for his interest and advice throughout."<br />

"This research was supported by the U.S. Air Force under contract AF 49(638)-708, monitored by the Air Force Office of Scientific Research of the Air Research and Development Command."</font>
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<tr><td align="left">Acknowledgements: &nbsp;n/a
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====Chandrasekhar63_XIX====
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<tr><td align="left">Acknowledgements (p. 1212):<br /><font color="darkgreen">"It should be apparent that the magnitude of the numerical work involved in the preparation of this paper is a very large one; and further, that it is particularly true of the present investigation that one cannot, in Kelvin's well-known phrase, 'obtain satisfaction from formulas without their numerical magnitude.'  For that 'satisfaction,' I am greatly indebted to Miss Donna Elbert:  she carried out all the necessary numerical work.  I am also indebted to Dr. Norman R. Lebovitz for his careful scrutiny of the present manuscript and for helpful discussions."<br />

"The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."</font>
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====Chandrasekhar65_XXV====
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<tr><td align="left">Acknowledgements (p. 921):<br /><font color="darkgreen">"I am greatly indebted to Miss Donna Elbert for her patience in carrying out the extensive numerical work which was required in the preparation of this paper.  I am also grateful to Dr. M. Clement for his careful scrutiny of the analysis and to Dr. N. Lebovitz for many helpful discussions."<br />

"The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."</font>
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<tr><td align="left">Acknowledgements (p. 1446):<br /><font color="darkgreen">"One of us (L. M.) wishes to thank Professor C. C. Lin for arranging a visit to the Department of Mathematics, Massachusetts Institute of Technology as research associate during July and August, 1964.  The cosmogonical importance of the present problem first arose during discussions with Professor E. E. Salpeter during his visit to Cambridge, England, in 1961.  The authors are grateful to the Computation Center at Massachusetts Institute of Technology for the use of its facilities."<br />

"This work is supported in part by the National Aeronautics and space Administration through the Center for Space Research at Massachusetts Institute of Technology."</font>
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<tr><td align="left">Acknowledgements (p. 228):<br /><font color="darkgreen">"I am thankful for the financial support of a William Charles Peyton Fellowship during this work and for the use of computer facilities supported in part by National Science Foundation grant NSF-GP579.  I am deeply grateful to M. Schwarzschild; his clear questions steered my work."<br />
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====Chandrasekhar66_XXVIII====
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<tr><td align="left">Acknowledgements (p. 877):<br /><font color="darkgreen">"I am grateful to Dr. M. Clement whose careful scrutiny of the analysis helped the elimination of a number of oversights and obscurities; he also generously programmed for machine calculations<sup>1</sup>, the characteristic equation (both in its finite and asymptotic forms) for the determination of its roots.  I am equally grateful to Dr. N. R. Lebovitz for many clarifying discussions and particularly for his examination of Riemann's criterion for determining the stability of his figures and demonstration of the place where he erred.  I am also indebted to Miss Donna Elbert for her continued patience in assisting with these investigations; in this particular instance it was most essential."<br />

"The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."

<sup>1</sup>The machine calculations were performed with an IBM 1620 computer at the Yerkes Observatory.</font>
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====HRW66====

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<tr><td align="left">Acknowledgements (p. 551):<br /><font color="darkgreen">"This research was partially supported by the National Science Foundation (Grant GP-975); the authors are glad to acknowledge its assistance.  We are also grateful to Professor S. Chandrasekhar for helpful comments, and to Mr. Jackson, of the Yerkes Observatory, for the radii of polytropes of indices 3.0 and 3.25 (see Table 4)."</font>
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====Chandrasekhar67_XXX====

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<tr><td align="left">Acknowledgements (p. 351):<br /><font color="darkgreen">"I should like to record my indebtedness to Miss Donna Elbert for her assistance with the numerical work.  I am also grateful to Dr. E. Krefetz for checking the analysis and to Dr. C. E. Rosenkilde for several clarifying discussions.  The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."</font>
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====Chandrasekhar67_XXXII====

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<tr><td align="left">Acknowledgements (p. 641):<br /><font color="darkgreen">"I am indebted to Miss Donna D. Elbert for her assistance with the numerical work and to Dr. E. Krefetz for checking parts of the analysis.  The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."</font>
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====Iben67====

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<tr><td align="left">Acknowledgements (p. 649):<br /><font color="darkgreen">"It is a pleasure to thank (1) George Herbig for supplying the motivation to discuss lithium depletion and (2) W. A. Fowler for supplying the motivation to emphasize the production of He<sup>3</sup> in stars.  Thanks are due to the Laboratory for Nuclear Science at the Massachusetts Institute of Technology for the use of its IBM 7044 computer and to the California Institute of Technology for the use of its IBM 7094 computer.  The Center for Space Research at the Massachusetts Institute of Technology has been most generous in supplying financial support."</font>
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====LBO67====

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<tr><td align="left">Acknowledgements (p. 310):<br /><font color="darkgreen">"D. Lynden-Bell would like to thank Professor Oort for the hospitality of the Leiden Observatory in 1964 December where this work began."</font>
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====Lebovitz67_XXXIV====

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<tr><td align="left">Acknowledgements (p. 479):<br /><font color="darkgreen">"This article was written with the support of the Air Force Office of Scientific Research, through grant AF-AFOSR-712-67."</font>
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====Rossner67_XXXVIII====

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<tr><td align="left">Acknowledgements (p. 168):<br /><font color="darkgreen">"I wish to thank Professor S. Chandrasekhar, who suggested this problem, for his advice and encouragement.  The work was carried out during the tenure of a National Aeronautics and Space Administration Traineeship."</font>
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====SF67====
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<tr><td align="left">Acknowledgements (p. 309):<br /><font color="darkgreen">"One of us (R. S.) acknowledges the support of an NAS-NRC research associateship under the National Aeronautics and Space Administration.  The other (J. A. F.) is grateful for discussions with Drs. L. Goldberg, S. E. Strom, and C. A. Whitney.  We would like to thank Dr. Robert Jastrow for his hospitality at the Institute for Space Studies."</font>
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====Chandrasekhar68_XXXV====

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<tr><td align="left">Acknowledgements (p. 303):<br /><font color="darkgreen">"I am greatly indebted to Miss Donna D. Elbert for her assistance with the reduction of the formulae given in the Appendix and for the numerical location of the various neutral points. The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."</font>
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====OB68====
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<tr><td align="left">Acknowledgements (p. 1093):<br /><font color="darkgreen">"The authors take pleasure in acknowledging the programming assistance of James Mark.  The calculations were performed at the Princeton University Computer Center, supported in part by National Science Foundation Grant NSF-GP279.  One of us (P. B.) was supported in part by a National Science Foundation Post-doctoral Fellowship and both were supported in part by the Air Force Office of Scientific Research (OAR) contract AF 49(638)-1555."</font>
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====OM68====
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<tr><td align="left">Acknowledgements (p. 1087):<br /><font color="darkgreen">"The authors have received valuable advice and encouragement from many sources.  In particular we would like to thank Dr. Peter Bodenheimer for a careful and helpful reading of the manuscript.  This work has been supported in part by the Air Force Office of Scientific Research under contract AF49(638)-1555.  One of us (J. M.) is grateful for the support of the William Charles Peyton Fellowship (1966-1967)."</font>
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====Yabushita68====

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<tr><td align="left">Acknowledgements (p. 120):<br /><font color="darkgreen">"The author is grateful to Professor M. Tada for his encouragement.  He is also grateful to a referee for pointing out an important error in the original form of the paper.  Numerical computations were done at the Computing Centres of Kyoto University and of Tokyo University.  Assistance offered by Miss Adachi is deeply appreciated.  The author wishes to express his thanks to the Sakkokai Foundation for the award of a grant."</font>
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===Decade7===

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<tr><td align="left">Acknowledgements (p. 1113):<br /><font color="darkgreen">"The work of one of us (J.P.O.) was supported in part by the Air Force Office of Scientific Research contract AF 49(638)-1555."</font>
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====VdBorght70====
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====Bardeen71====
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<tr><td align="left">Acknowledgements (p. 443):<br /><font color="darkgreen">"I am very grateful to S. Chandrasekhar for helpful discussions and for making available some unpublished numerical results for his post-Newtonian coefficients.  J. B. Hartle and J. P. Ostriker also contributed to my understanding of the points raised in this paper."</font>
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====BO73====
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<tr><td align="left">Acknowledgements (p. 169):<br /><font color="darkgreen">"One of us (P.B.) was partially supported by NSF grant GU-3162 and one of us (J.P.O.) was supported by NSF grant GP 34888X."</font>
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====Wong73====
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<tr><td align="left">Acknowledgements (p. 352):<br /><font color="darkgreen">"The author wishes to thank Professor J. A. Wheeler for stimulating discussions and for communicating his findings before publication.  He is indebted to Dr. T. A. Welton for kind encouragement, stimulating discussions and helpful suggestions.  He would also like to thank many of his colleagues, in particular, Drs. J. L. Fowler and S. J. Chang, for helpful discussions.  Part of this work was completed while the author was a summer visitor at the State University of New York at Stony Brook.  The author would like to thank Professors G. E. Brown and T. T. S. Kuo for their kind hospitality.  He wishes to thank Professors N. L. Balazs and F. K. Cheung for helpful discussions."</font>
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<tr><td align="left">Acknowledgements (p. 402):<br /><font color="darkgreen">"The authors wish to express their gratitude to Zeldovich for helpful discussions."</font>
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<tr><td align="left">Acknowledgements (p. 130):<br /><font color="darkgreen">"The research reported here was supported by the National Science Foundation under grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=22584 NSF GP-22584]. I wish to thank Dr. Giles Auchmuty for a helpful conversation."</font> <br />
(Note: A Google search led to a scanned NSF budget sheet identifying N. R. Lebovitz as the recipient of Grant No. GP22584 from "Mathematics" &#8212; FY '71 and 12 month duration &#8212; titled, ''Structural Stability of Rotating Fluid Systems.'')
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<tr><td align="left">Acknowledgements (p. 431):<br /><font color="darkgreen">"This work was supported by the National Science Foundation (U.S.A.) under grant GP-36098."</font>
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====VH74====

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<tr><td align="left">Acknowledgements (p. 689):<br /><font color="darkgreen">"The author is indebted to Professor J. A. Wheeler who either consciously or unconsciously introduced the author to the subject matter with his toroidal geons and toroidal nuclei.  The author wishes to thank Professors F. F. K. Cheung, D. S. Hall, and K. Kumar for illuminating discussions.  He also wishes to thank Professor S. Chandrasekhar for helpful communication."</font>
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<tr><td align="left">Acknowledgements (p. 453):<br /><font color="darkgreen">"The present work was started while the author was on a summer visit to the Institute of Astronomy, Cambridge, England.  He wishes to thank the members of the Institute and of Fitzwilliam College for their hospitality.  The numerical work was done at the Mathmatical Laboratory, Cambridge, and at the Computing Centre of Kyoto University.  The lecture note by R. J. Tayler was brought to the author's attention by Professor Lynden-Bell to whom the author is grateful.  He also wishes to thank an anonymous referee whose comments improved the presentation of the paper."</font>
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<tr><td align="left">Acknowledgements (p. 123):<br /><font color="darkgreen">"I am indebted to Professor Frank Shu for suggesting the problem, providing advice and encouragement, and suggesting changes in the original draft of the paper.  I also wish to acknowledge the tenure of an NSF Graduate Fellowship."</font>
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<tr><td align="left">Acknowledgements (p. 597):<br /><font color="darkgreen">"Discussions with A. G. W. Cameron, S. Chandrasekhar, and J. P. Ostriker have benefited us in this work.   We thank the referee for a number of suggestions."</font>
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<tr><td align="left">Acknowledgements (p. 515):<br /><font color="darkgreen">"The author would like to thank Professor D. Sugimoto for continuous discussions, encouragement, and reading of the manuscript.  Thanks are also due to Dr. K. Nomoto and Mr. I. Hachisu for comments and discussions.  Part of the numerical computations was done at the Computer Center of the University of Tokyo, and the rest at the Tokyo Astronomical Observatory.  <br /><p>This paper is based on the author's dissertation, submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."</font>
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<tr><td align="left">Acknowledgements (p. 242):<br /><font color="darkgreen">"This work has been supported in part by the National Research Council of Canada."</font>
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====Hachisu79====
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<tr><td align="left">Acknowledgements (p. 538):<br /><font color="darkgreen">"The author would like to thank Professor D. Sugimoto for valuable advices, discussions, and reading the manuscript, Dr. S. Inagaki for frequent discussions and Dr. M. Kondo for reading the manuscript.  The numerical computations were made at the Computer Center of the University of Tokyo."</font>
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====Lebovitz79====

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<tr><td align="left">Acknowledgements (p. 625):<br /><font color="darkgreen">"The actual expressions for <math>V_\mu</math> for large <math>|\mu|</math> are too lengthy to list.  All those for which <math>|\mu| \le 7</math> have been worked out by Dr. Daniel Moore, using the CAMAL routine for computer algebra developed at Cambridge University.  I wish to express my gratitude to Dr. Moore for providing me with these expressions.  Potential users should contact me.  There appears to be no difficulty in proceeding to higher values of <math>|\mu|</math>."</font>

<font color="darkgreen">"The research reported here was supported in part by the National Science foundation through grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=7420614 MCS74-20614]  with the University of Chicago, and in part by the John Simon Guggenheim Foundation through a fellowship for the 1977-1978 academic year."</font>
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===Decade8===
====FESB-K80====
<font color="red">NOTE:</font> &nbsp; &nbsp; Some of the results of this work are demonstratively wrong; they have been superseded by the results presented in [[#HES82|HES82, below]].
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<tr><td align="left">Acknowledgements (p. 1996):<br /><font color="darkgreen">"The authors wish to thank Mr. I. Hachisu for illuminating and useful discussions.  Numerical computations were carried out mainly with HITAC 8700/8800 at the Computer Center of the University of Tokyo, and partly with FACOM 230/58 at the Tokyo Astronomical Observatory.  Two of the authors (D.S. and G.S.B-K.) thank the Japan Society for the Promotion of Science for JSPS Fellowship in 1978 which was granted to G.S.B-K. to pursue the cooperative research with D.S.  This research was also supported in parts by the Scientific Research Funds of the Ministry of Education, Science and Culture (264069, 368003 and 434010)."</font>
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====GW80====
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<tr><td align="left">Acknowledgements (p. 996):<br /><font color="darkgreen">"We are grateful for comments by Doug Keeley and Frank Shu.  We also acknowledge Glen Hermannsfeldt for excellent assistance with the computing.  Stephen V. Weber was supported by a Chaim Weizmann postdoctoral fellowship.  This work was supported by NSF grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=7821453 AST78-21453] and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=7680801 AST76-80801] A02."</font>
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====EF81====

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<tr><td align="left">Acknowledgements:&nbsp; n/a
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====ES81====
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<tr><td align="left">Acknowledgements (p. 1874):<br /><font color="darkgreen">"Numerical computations were carried out at the Computer Centre of the University of Tokyo.  This research was supported in parts by the Scientific Research Fund of the Ministry of Education, Science and Culture (434010 and 564088)."</font>
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====Kimura81b====
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<tr><td align="left">Acknowledgements (p. 308):<br /><font color="darkgreen">"A portion of the work reported here formed part of the author's doctoral thesis, submitted to the University of Tokyo.  The author is indebted to Professors W. Unno and S. Aoki for helpful discussions.  Thanks are also due to Mrs. K. Sakurai for her assistance in preparing the manuscript."</font>
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====Whitworth81====
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<tr><td align="left">Acknowledgements: &nbsp;n/a
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====Tohline81====
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<tr><td align="left">Acknowledgements (p. 726):<br /><font color="darkgreen">"Because Leon Mestel's (1965; {{Mestel65hereafter}}) paper has not been specifically referenced in the body of this paper, I must acknowledge its importance here.  It was from Professor Mestel's work that I first gained a clear glimpse of how this problem could be attacked analytically.  It is a pleasure also to acknowledge conversations with Alan Boss from which I first began to appreciate the fact that an analysis akin to the one presented in this paper was desperately needed.  I thank Alan also for furnishing me with his data prior to its publication."<br />"This work was performed under the auspices of the [https://en.wikipedia.org/wiki/Energy_Research_and_Development_Administration USERDA]."</font>
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====EH82====
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<tr><td align="left">Acknowledgements (p. 851):<br /><font color="darkgreen">"The authors would like to thank Professor D. Sugimoto for valuable discussions.  Numerical computations were carried out at the Computing Facility, College of General Education, University of Tokyo.  This research was supported in part by the Scientific Research Fund of the Ministry of Education, Science and Culture (56740108)."</font>
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====EHS82====
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<tr><td align="left">Acknowledgements (p. 1075):<br /><font color="darkgreen">"A part of the numerical computation was carried out at the Computer Centre of the University of Tokyo, and the rest at the Computing Facility, College of General Education, University of Tokyo.  This research was supported in part by the Scientific Research Fund of the Ministry of Education, Science and Culture (56110005)."</font>
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====Hachisu82====
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<tr><td align="left">Acknowledgements (p. 333):<br /><font color="darkgreen">"The author would like to thank Professor D. Sugimoto for valuable advice, discussions, and reading of the manuscript.  He is indebted also to Dr. S. Inagaki for valuable advice, Dr. S. Miyaji and Mr. T. Hanawa for frequent discussions and advice, and to the Japan Society for the Promotion of Science for financial aid.  Numerical computations were made at the Computer Center of the University of Tokyo.<br /><p>This paper is based on the author's dissertation submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."</font>
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====HE82====
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<tr><td align="left">Acknowledgements (p. 220):<br /><font color="darkgreen">"The authors would like to thank Professor D. Sugimoto for encouragements and discussions.  Numerical computations were carried out mainly at the Nobeyama Radio Observatory and partly at the Data Processing Center of Kyoto University.  This research was supported in part by the Grant-in-Aid for Encouragement of Young Scientist of the Ministry of Education, Science and Culture (56740108)."</font>
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====HES82====
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<tr><td align="left">Acknowledgements (p. 204):<br /><font color="darkgreen">"Two of us (Y. E. and D. S.) would like to thank Dr. G. S. Bisnovatyi-Kogan and Dr. S. I. Blinnikov who called Fukushima et al.'s results in question in 1980.<br /><p>Numerical computations were carried out at the Nobeyama Radio Observatory.  This research was supported in parts by the Grant-in-Aid for Encouragement of Young Scientist (56740108) and Grant-in-Aid for Scientific Research (56110005) of the Ministry of Education, Science and Culture."</font>
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====HNM82====
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<tr><td align="left">Acknowledgements (p. 1966):<br /><font color="darkgreen">"The numerical calculations were performed by FACOM M-200 at the Data Processing Center of Kyoto University.  This work was supported by the Grant-in-Aid for Scientific Research of the Ministry of Education, Science and Culture (No. 56110009)."</font>
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<tr><td align="left">Acknowledgements (p. 1136):<br /><font color="darkgreen">"We would like to thank Professor D. Sugimoto for encouragement.  Numerical computations were carried out at the Institute of Space and Astronautical Science.  This research was supported in part by the Grant-in-Aid for Encouragement of Young Scientist of the Ministry of Education, Science and Culture (57740139).  One of us (Y.E.) is indebted to the Japan Society for the Promotion of Science for financial aid during 1982 fiscal year."</font>
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<tr><td align="left">Acknowledgements (p. 1541):<br /><font color="darkgreen">"The authors would like to thank Professor D. Sugimoto for encouragement.  Numerical computations were carried out at the Institute of Space and Astronautical Science and at the Nobeyama Radio Observatory.  This research was suppored [''sic''] in part by the Grant-in-Aid for Encouragement of Young Scientist of Ministry of Education, Science and Culture (57740139 and 58740119).  One of them (Y. E.) is indebted to the Japan Society for the Promotion of Science for financial aid during FY 1982-1983."</font>
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<tr><td align="left">Acknowledgements (p. 586):<br />
<font color="darkgreen">"The authors would like to thank Professor D. Sugimoto for encouragement and discussions.  This research was supported in part by the Grant-in-Aid for Encouragement of Young Scientist of the Ministry of Education, Science and Culture (57740139).  One of us (YE) is indebted to the Japan Society for the Promotion of Science for financial aid during the 1982 fiscal year."</font>
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<tr><td align="left">Acknowledgements (p. 180):<br /><font color="darkgreen">"I wish to thank Martin Duncan, Mark Haugan, and Saul Teukolsky for useful discussions.  This research was supported in part by National Science Foundation grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8116370 AST81-16370]."</font>
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<tr><td align="left">Acknowledgements (p. 844):<br /><font color="darkgreen">"We thank Willy Fowler, Lee Lindblom, Wolfgang Ober, Bob Wagoner, and Stan Woosley for useful discussions.  In particular, Stan Woosley often emphasized the many ways rotation could transform simplicity into complexity.  This research was supported by grants NSF [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8022876 AST-80-22876] at Chicago, NSF [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=7923243 AST 79-23243] at Berkeley, and NSF PHY 81-19387 at Stanford, and by the [https://en.wikipedia.org/wiki/Science_and_Engineering_Research_Council SERC] at Cambridge."</font>
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<tr><td align="left">Acknowledgements (p. 502):<br />
<font color="darkgreen">"We would like to thank Professor D. Sugimoto for encouragement.  This research was supported in part by a Grant-in-Aid for Encouragement of Young Scientist (58740119) and by a Grant-in-Aid for Scientific Research (59540141), and by a Grant-in-Aid for Cooperative Research (58340023) of the Ministry of Education, Science, and Culture.  One of us (Y.E.) is indebted to the Japan Society for the Promotion of Science for financial aid during FY 1982 and 1983."</font>
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Click to list chapter(s) on this wiki site that either &hellip; <b>[[Special:WhatLinksHere/Template:HE84full|cite]]</b> or <b>[[Special:WhatLinksHere/Template:HE84figure|display an image/figure/table from]]</b> this article.
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<tr><td align="left">Acknowledgements (p. 256):<br />
<font color="darkgreen">"The authors would like to thank Professors T. Sakurai, Kyoto University, and D. Sugimoto, University of Tokyo, for encouragement.  The numerical computation was carried out mainly at the Nobeyama Radio Observatory and partly at the Data Processing Center of Kyoto University.  This research was supported in part by a Grant-in-Aid for Encouragement of Young Scientists (58740119), by a Grant-in-Aid for Scientific Research (59540141), and by a Grant-in-Aid for Cooperative Research (58340023) of the Ministry of Education, Science, and Culture.  One of us (Y.E.) is indebted to the Japan Society for the Promotion of Science for financial aid during FY 1982 and 1983."</font>
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<tr><td align="left">Acknowledgements:&nbsp; n/a
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<tr><td align="left">Acknowledgements (p. 750):<br />
<font color="darkgreen">"We thank Professor J. E. Ffowcs-Williams for bringing the article by Broadbent &amp; Moore to our attention.  We thank Dr A. Bremner for discussions about the measure of the set of unstable points in Section 4.3.  We thank Dr A. M. Pringle for generating the figures."</font>
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<tr><td align="left">Acknowledgements (pp. 291 - 292):<br />
<font color="darkgreen">"We would like to thank Professor D. Sugimoto for encouragement.  One of us (Y.E.) also wishes to thank Professor R. Kippenhahn and Dr. E. M&uuml;ller for a warm hospitality at Max-Planck-Institut f&uuml;r Astrophysik.  Numerical computation was done at Max-Planck-Institut f&uuml;r Astrophysik.  This research was supported in part by the Grant-in-Aid for Scientific Research (59540141) of the Ministry of Education, Science and Culture in Japan."</font>
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<tr><td align="left">Acknowledgements (p. 187):<br /><font color="darkgreen">"Frank Shu and Hugh Van Horn have made extremely enlightening comments to me in the course of this investigation.  I thank them for their interest and support.  I am indebted to Mort Roberts for allowing me to pull my thoughts together in the friendly, invigorating environment of NRAO, Charlottesville, and to E. F. Zganjar, A. U. Landolt, and C. L. Perry for doing all the dirty work at LSU while I was gone for the summer.  This work was supported by the National Science Foundation through grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8217744 AST-8217744]."</font>
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Click to list chapter(s) on this wiki site that either &hellip; <b>[[Special:WhatLinksHere/Template:Tohline85full|cite]]</b> or <b>[[Special:WhatLinksHere/Template:Tohline85figure|display an image/figure/table from]]</b> this article.
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<tr><td align="left">Acknowledgements (p. 685):<br /><font color="darkgreen">"The authors gratefully acknowledge many stimulating and informative conversations with Willy Fowler on the subject of supermassive stars.  This research has been supported by the National Science Foundation under grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8108509 AST81-08509] A01 and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8418185 AST 84-18185] and, at [https://en.wikipedia.org/wiki/Lawrence_Livermore_National_Laboratory Livermore], by the Department of Energy under W-7405-EN6-48</font> [probably should be ENG, rather than EN6]."
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<tr><td align="left">Acknowledgements (p. 507):<br /><font color="darkgreen">"I would like to thank Dr. Y. Eriguchi for critically reading the manuscript and for useful discussions and also to thank Dr. Joel E. Tohline for the hospitality at LSU.  Numerical computations were carried out mainly by the Fujitsu VP-100 vector processor and M-382 at the Data Processing Center of Kyoto University, and also partly by M-380 at the Institute of Space and Astronautical Sciences.  This research was supported in part by a Grant-in-Aid for Scientific Research (59540141) and by a Grant-in-Aid for Cooperative Research (58340023) of the Ministry of Education, Science, and Culture of Japan.  It was also supported by the National Science Foundation [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8501842 AST-8501842]."</font>
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<tr><td align="left">Acknowledgements (p. 499):<br /><font color="darkgreen">"I would like to thank Y. Eriguchi for a critical reading of the manuscript and for useful discussions, and also to thank J. E. Tohline for the hospitality at LSU.  Numerical computations were carried out mainly by the Fujitsu VP-100 vector processor at the Data Processing Center of Kyoto University and partly by the Fujitsu M-380 at the Institute of Space and Astronautical Sciences.  This research was supported in part by a Grant-in-Aid for Scientific Research (59540141) and by a Grant-in-Aid for Cooperative Research (58340023) of the Ministry of Education, Science, and Culture of Japan.  It was also supported by the National Science Foundation grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8501842 AST-8501842]."</font>
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<tr><td align="left">Acknowledgements (p. 609):<br /><font color="darkgreen">"Numerical computations were carried out initially on a Fujitsu VP-100 (vector processor) and an M-382 at the Data Processing Center of Kyoto University, and later on an IBM 3084QX at Louisiana State University.  This research was supported in part by a Grant-in-Aid for Scientific Research (60540152) from the Ministry of Education, Science and Culture in Japan, and also by US National Science Foundation grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8501842 AST-8501842]."</font>
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<tr><td align="left">Acknowledgements:&nbsp; n/a
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====Lebovitz89a====

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<tr><td align="left">Acknowledgements (p. 237):<br /><font color="darkgreen">"I wish to thank Mr. Apurba Kar for checking the manuscript and correcting several mistakes.  The research reported here was supported in part by the National Science Foundation through Grant No. [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8602031 DMS-8602031] with the University of Chicago.  It was initiated in 1985 during the Summer Seminar in Geophysical Fluid Dynamics at the Woods Hole Oceanographic Institution.  I would like to thank Prof. George Veronis for his kind hospitality during my visit to Woods Hole."</font>
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<tr><td align="left">Acknowledgements (p. 236):<br /><font color="darkgreen">"The research reported here was supported in part by the National Science Foundation through Grant No. [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8602031 DMS-8602031] with the University of Chicago."</font>
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===Decade9===
====TH90====
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<tr><td align="left">Acknowledgements (p. 406):<br /><font color="darkgreen">"We wish to acknowledge useful discussions that we have had on this topic with R. Durisen, J. Frank, J. Goodman, J. Pringle, and B. Schutz.  Most of the text of this paper was written while J. E. T. was visiting the Physics Department of the University of Wales/College of Cardiff and the Department of Aeronautical Engineering at Kyoto University; the hospitality that was extended to him by the staff at both of these institutions is greatly appreciated.  The extensive computational work required for this study was conducted, in part, at Louisiana State University's System Network Computer Center and, in part, using the Cornell National Supercomputer Facility, a resource of the Center for Theory and Simulation in Science and Engineering at Cornell University, which is funded in part by the National Science Foundation, New York State, and the IBM Corporation.  The graphics and imaging tasks that have provided an essential diagnostic tool for the present study would not have been successfully completed at L.S.U. without the continuous efforts of M. Lee and J. Anderson and without the facilities provided by a grant to L.S.U. through A. Landolt by the U.S. Air Force Office of Scientific Research.  J. E. T. was supported in part by the U. S. National Science Foundation through grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8701503 AST 87-01503] and I. H. was financially supported in part by a Grant-in-Aid for Scientific Research of the Ministry of Education, Science, and Culture of Japan (No. 63540196)."</font>
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====Yabushita92====

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====LRS93a====
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<tr><td align="left">Acknowledgements (p. L66):<br /><font color="darkgreen">"We thank L. Bildsten, J. Goodman, K. Thorne, and C. Will for useful discussions.  This work was supported in part by NSF grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9119475 AST 91-19475] and NASA Grant NAGW-2364 to Cornell University.  Partial support was also provided by NASA through Grant HF-1037.01-92A awarded by the Space Telescope Science Institute which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA under contract NAS5-26555."</font>
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<tr><td align="left">Acknowledgements (p. 248):<br /><font color="darkgreen">"This work was supported by NSF grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9015451 AST 90-15451] and NASA grant NAGW-2364 to Cornell University.  Partial support was also provided by NASA through grant HF-1037.01-92A awarded by the Space Telescope Science Institute which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA under contract NAS5-26555.  Computations were performed on the Cornell National Supercomputer Facility, a resource of the Center for Theory and Simulation in Science and Engineering at Cornell University, which receives major funding from the NSF and from the IBM Corporation, with additional support from New York State and members of its Corporate Research Institute."</font>
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<tr><td align="left">Acknowledgements (p. 265):<br /><font color="darkgreen">"This work has been supported in part by the US National Science Foundation through grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8701503 AST-8701503] and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9008166 AST-9008166], and in part by NASA through grant NAGW-2447.  The extensive computational work required for this study has been conducted primarily at the Cornell National Supercomputer Facility, a resource of the Center for Theory and Simulation in Science and Engineering at Cornell University, which is funded in part by the National Science Foundation, New York State, and the IBM Corporation."</font>
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<tr><td align="left">Acknowledgements (p. 495):<br /><font color="darkgreen">
"We thank M. Ando, J. Brill, D. Brydges, B. Deaver, Jr., M. Elitzur, G. Hess, P. Mannheim, Q. Shafi, and J. Straley for stimulating discussions and I. Hachisu and N. Lebovitz for useful correspondence.  We are especially grateful to C. McKee and to R. Narayan for in-depth discussions of the physical concepts presented in this paper.  We are indebted to the graphics department of NRAO for assistance in producing Figure 3.  I. S. is grateful to the Gauss Foundation for support and to K. Fricke, director of Universit&auml;ts-Sternwarte G&ouml;ttingen, for hospitality during a stay in which much of this work has been accomplished.  I. S. also thanks the Center for Computational Studies of the University of Kentucky for continuing support.  This work was supported in part by NASA grants NAGW-1510, NAGW-2447, NAGW-2376, and NAGW-3839, by NSF grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9008166 AST 90-08166], and by grants from the San Diego Supercomputer Center and the National Center for Supercomputing Applications.</font>
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<tr><td align="left">Acknowledgements (p. 519):<br /><font color="darkgreen">
"We thank C. McKee and R. Narayan for stimulating discussions and I. Hachisu and N. Lebovitz for useful correspondence.  We also thank the main referee of this series of papers for comments that led to improvements in the presentation of results.  I. S. is grateful to the Gauss Foundation for support and to K. Fricke, director of Universit&auml;ts-Sternwarte G&ouml;ttingen, for hospitality during a stay in which much of this work has been accomplished.  I. S. also thanks the Center for Computational Studies of the University of Kentucky for continuing support.  This work was supported in part by NASA grants NAGW-1510, NAGW-2447, NAGW-2376, and NAGW-3839, by NSF grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9008166 AST 90-08166], and grants from the San Diego Supercomputer Center and the National Center for Supercomputing Applications.</font>
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<tr><td align="left">Acknowledgements (p. 712):<br /><font color="darkgreen">"The research reported here was supported by the National Science Foundation through grants DMS 9207808</font> [should be, [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9207080 DMS 9207080]] <font color="darkgreen">with the University of Chicago (N. R. L.) and IRI 9924605 with the University of Illinois at Chicago (A. L.)."</font>
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<tr><td align="left">Acknowledgements (p. 946):<br /><font color="darkgreen">"We thank Peter Constantin, David Livermore and Carlos Kenig for their advice and help.  This work was supported by the National Science Foundation through grants number [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9207080 DMS9207080] with the University of Chicago (N. R. L.) and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9924605 IRI9924605] with the University of Illinois at Chicago (A. L.)."</font>
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<tr><td align="left">Acknowledgements (p. 737):<br /><font color="darkgreen">"The authors thank M. S. Johnson for preparing animations of the <math>n' = 0.0, ~T/|W|=0.327</math> and <math>n' = 2.0, ~T/|W|=0.207</math> calculations.  These animations and other related images can be viewed via the World Wide Web at [https://enif.astro.indiana.edu/personnel/pickettb/picts.html <https://enif.astro.indiana.edu/personnel/pickettb/picts.html>].  This work is supported by NASA Grant NAGW-3399.  R. H. D. thanks the Max Planck Institute for Extraterrestrial Physics, where he was a Fulbright Scholar and a visiting scientist during portions of this research.  The authors would also like to thank F. C. Adams, P. Bodenheimer, A. P. Boss, A. Burkett, P. Cassen, D. M. Christodoulou, F. H. Shu, I. Hachisu, T. W. Hartquist, J. N. Imamura, D. N. C. Lin, G. E. Morfill, T. Y. Steiman-Cameron, J. E. Tohline, H. A. Williams, S. Yank, and C. Yuan for useful encouragement and support for this research over the years.  Some of the calculations were completed using Cray Y/MP time at the National Center for Supercomputing Applications."</font>
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<tr><td align="left">Acknowledgements (pp. 326 - 327):<br /><font color="darkgreen">"This work has been supported, in part, by funding from the National Science Foundation through grants AST 90-08166, AST 95-28424, and PHY 92-08914, from NASA through grants NAGW-2447 and NAG 5-2777, from the Louisiana State Board of Regents through grant LEQSF(1995-1998)-115-35-4412, from the Baton Rouge, Louisiana Branch of the American Association of University Women through a Doctoral Candidate Scholarship, and by computational resources from the Pittsburgh Supercomputing Center through grant PHY 91-0018P.  The great majority of the numerical simulations presented herein were carried out on computers in the Department of Physics and Astronomy's Concurrent Computing Laboratory for Materials Simulation, which was established through grants LEQSF(1990-92)-ENH-12 and LEQSF(1993-94)-ENH-TR05 from the Louisiana State Board of Regents.  Several of the numerical simulations also were carried out at the Scalable Computing Laboratory of the Department of Energy Ames Laboratory at Iowa State University.  We would also like to thank Joan Centrella, Dimitris Christodoulou, Greg Cook, Dong Lai, Dustin Laurence, Kip Thorne, and Horst V&auml;th for useful conversations and assistance."</font>
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<tr><td align="left">Acknowledgements (p. 833):<br /><font color="darkgreen">"JF thanks the Institute of Astronomy, Cambridge, for its hospitality during the completion of this paper.  PPE and RCC are grateful to the Institute of Theoretical Physics, Santa Barbara (NSF grant PH489-04035)</font> [should be [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=8904035 PHY-8904035]] <font color="darkgreen">for its hospitality at an earlier stage."</font>
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<tr><td align="left">Acknowledgements (p. 99):<br /><font color="darkgreen">"We are grateful to Dana Browne and his suggestion in 1994 to use a Gauss-Legendre integrator, which motivated our search for an analytic solution to the infinite integral.  Thanks to John Cazes for incorporating and optimizing the CCGF technique in the HPF version of our CFD code.  Thanks to Patrick Motl for his optimizing suggestion, which sped up the initialization part of the CCGF code drastically, as well as for implementing the CCGF technique in Fortran 90 with MPI.  Thanks to Eric Barnes for motivational discussions on coordinate systems.  We acknowledge support from the US National Science Foundation through grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9528424 AST-9528424] and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9355007 DGE-9355007], the latter of which has been issued through the NSF's Graduate Traineeships Program and from NASA through grant NAG5-8497.  This work also has been supported, in part, by grants of high-performance computing time on NPACI facilities at SDSC and UT, Austin, and through the PET program of NAVOCEANO DoD Major Shared Resource Center in Stennis, MS."</font>
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<tr><td align="left">Acknowledgements (p. 810):<br /><font color="darkgreen">"The author is grateful to J. Fanselow for support during the early development of this work, to L. Caroff and M. Bicay at NASA for allowing a small portion of a theoretical astrophysics grant to be used for this purpose, and to the JPL Director's Research and Development Fund for support to complete this work.  Discussions with numerous people were very helpful, including G. Lozenge and A. Raefsky on the finite element method, M. Norman on adaptive gridding, P. Godon on spectral methods and multigrain methods, and W. Cannon, S. Finn, M. Holst, K. Thorne, and J. York on the use of these techniques for general relativity.  This research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, and under contract to the National Aeronautics and Space Administration."</font>
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==21<sup>st</sup> Century==

===CTRS2000===

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<tr><td align="left">Acknowledgements (p. 371):<br /><font color="darkgreen">"HSC would like to thank the LSU (Louisiana State University, U.S.A.) Department of Physics &amp; Astronomy and Prof. J. Frank for providing travel support to attend the 200<sup>th</sup> IAU symposium on Binary Star Formation in Potsdam, Germany, at which the results of this work were first presented.  HSC also thanks Prof. D. A. Browne for his support during the course of this work.  ARPR thanks the Alexander von Humboldt Stiftung and Profs. J. Hinze and F. H. M. Faisal of the University of Bielefeld for their hospitality during the course of this work.  Thanks to E. G. Kalnins for many inspiring communications and for providing the Moon &amp; Spencer (1961b) reference.  Thanks to J. D. Jackson for pointing out the Magnus, Oberhettinger &amp; Soni (1966) reference which gives a further generalization of the Heine identity.  Thanks are also due to J. E. Lambert for several subtle grammatical criticisms and suggestions.  We acknowledge support from NASA through grant NAG5-8497 and from the U.S. National Science Foundation through grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9987344 AST-9987344].  This work also has been supported, in part, by a grant of high-performance computing time on NPACI facilities at the San Diego Supercomputer Center."</font>
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<tr><td align="left">Acknowledgements (p. 148):<br /><font color="darkgreen">"This work has been performed with support from the National Science Foundation through grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9720771 AST-9720771], [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9528424 AST-9528424], [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9987344 AST-9987344], and DGE-935507</font> [should be, [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=9355007 DGE-9355007]] <font color="darkgreen">and from the National Aeronautics and Space Administration through the Astrophysics Theory Program grant NAG5-8497.  This research has been supported in part, by grants of high-performance computing time at the National Partnership for Advanced Computing Infrastructure (NPACI) facilities at the San Diego Supercomputer Center and by Louisiana State University's High Performance Computing facilities.  We would also like to acknowledge the many useful comments made by the referee that led to a significant improvement in the contents of this paper."</font>
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===AKM2003===

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<tr><td align="left">Acknowledgements (p. 523):<br /><font color="darkgreen">"The authors would like to thank David Petroff for many valuable discussions.  This work was supported by the Deutsche Forschungsgemeinschaft (DFG-project ME 1820/1)."</font>
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<tr><td align="left">Acknowledgements (p. 137):<br /><font color="darkgreen">"It is a pleasure to thank George Contoupoulos, and Nikos Voglis and his committee, for organizing a stimulating workshop, and for their hospitality. This work has been supported in part by the National Science Foundation through grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0104751 DMS-0104751]."</font>
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<tr><td align="left">Acknowledgements (p. 137):<br /><font color="darkgreen">"This work was supported by the National Science Foundation grant [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0104751 DMS-0104751].  The author declares that he has no competing financial interest."</font>
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===OT2006===
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<tr><td align="left">Acknowledgements (p. 1077):<br /><font color="darkgreen">"We would like to thank Hui Li for insightful and useful discussions at the 47th Meeting of the Division of Plasma Physics of the American Physical Society.  We also thank Juhan Frank, Patrick Motley, Shin Yoshida, and Christian Ott for helpful comments and suggestions.  It is a pleasure to thank Anna Watts for useful conversations at the Eight Division Meeting of High Energy Astrophysics Division of the American Astronomical Society.  We thank an anonymous referee for helpful suggestions.  This work was partially supported by NSF grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0407070 AST 04-07070] and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0326311 PHY-0326311].  The computations were performed on the Supermike cluster and the Superhelix cluster at LSU and on the Tungsten cluster at the National Center for Supercomputing Applications (NCSA)."</font>
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===Ou2006===
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<tr><td align="left">Acknowledgements (p. 558):<br /><font color="darkgreen">"I would like to thank Joel Tohline for valuable suggestions, discussions, and for carefully reading through this paper.  I also thank Juhan Frank and Patrick Motl for helpful comments.  It is a pleasure to thank Norman Lebovitz for drawing our attention to the particular analytical expression of the velocity field of Riemann S-type ellipsoids used in this study.  I would also thank Howard Cohl for developing the Poisson solver that was an important ingredient in this work.  I thank the anonymous referee for insightful suggestions on the analysis of our models.  This work was partially supported by National Science foundation grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0407070 AST 04-07070] and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0326311 PHY-0326311] and by the [https://cct.lsu.edu Center for Computation and Technology at LSU]."</font>
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===ZEUS-MP2006===
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<tr><td align="left">Acknowledgements (p. 211):<br /><font color="darkgreen">"The release of a vastly redesigned and augmented 'Version 2' of ZEUS-MP was occasioned by ZEUS-MP's adoption by the Terascale Supernova Initiative as a computational platform for simulating core-collapse supernova explosions in multidimensions.  The TSI project, led by Anthony Mezzacappa, provided both the demand and much of the financial support for the effort that created this code.  We are indebted to Tony Mezzacappa for his continued support, enthusiasm, and remarkable patience during the development phase of ZEUS-MP 2.0.  In addition, we gratefully acknowledge the continued support and wise counsel from Frank Graziani at the [https://en.wikipedia.org/wiki/Lawrence_Livermore_National_Laboratory Lawrence Livermore National Laboratory]. This work was supported by SciDAC grants from the DOE Office of Science High-Energy, Nuclear, and Advanced Scientific Computing Research Programs, and by DOE contract W-7405-ENG-48."</font>
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===OTM2007===

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<tr><td align="left">Acknowledgements (p. 1083):<br /><font color="darkgreen">"We would like to thank Lee Lindblom, John Friedman, Nikolaos Stergioulas, Yuk Tung Liu, and Juhan Frank for valuable discussions.  This work was partially supported by NSF grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0407070 AST-0407070] and  [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0326311 PHY-0326311].  The computations were performed on the Supermike cluster and the Superhelix cluster at LSU, and on the Tungsten cluster at National Center for Supercomputing Applications (NCSA)."</font>
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<tr><td align="left">Acknowledgements (p. 710):<br /><font color="darkgreen">"This work was supported in part by the US Department of Energy under contract B523820 to the Center for Astrophysical Thermonuclear Flashes at the University of Chicago.  AYP also expresses gratitude to the Institute for Pure and Applied Mathematics (IPAM), UCLA for support during the semester program 'Grand Challenge Problems in Computational Astrophysics', March-June, 2005.  The authors are grateful to anonymous referees for valuable comments and criticisms."</font>
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<tr><td align="left">Acknowledgements (p. 2720):<br /><font color="darkgreen">"WHB and AN&#x017B; are grateful to Ramesh Narayan for the discussion that led to the authors pursuing this line of work.  We also thank Peter Eggleton for discussing the formation of giants.  CAT thanks Churchill College for a fellowship."</font>
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<tr><td align="left">Acknowledgements (p. 27):<br /><font color="darkgreen">"We acknowledge valuable interactions that we have had with J. Frank, G. Clayton, P. M. Motl, and W. Even over the course of this project.  We also acknowledge the referee for his thorough analysis of our work and his insightful comments.  This work has been supported, in part, by grants [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0803629 PHY-0803629], [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0708551 AST-0708551], [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=1006891 EPS-1006891], [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0963375 OIA-0963375], and [https://www.nsf.gov/awardsearch/simpleSearchResult?queryText=0504507 DGE-0504507] from the U. S. National Science Foundation and, in part, by NASA/ATP grants NNX10AC72G and NNX07AG84G.  This research also has been made possible by grants of high-performance computing time on the TeraGrid (TG-AST090104), at LSU, and across LONI (Louisiana Optical Network Initiative), especially awards loni_astro08 and loni_astro09."</font>
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=Books=
==Key Parallel References==

The following seven references serve as excellent supplemental printed texts to this Wiki-based H_Book because the fundamental physics and astrophysics concepts that are covered in these texts have significant overlap with the concepts we are discussing.  The degree to which these references provide discussions that are parallel to ours is illustrated in our accompanying [[Appendix/EquationTemplates|key equations]] appendix.

* [<b><font color="red">BT87</font></b>] <span id="BT87">'''Binney, J. &amp; Tremaine, S.''' 1987,</span> Galactic Dynamics (Princeton, NJ: Princeton University Press)

* [<b><font color="red">BLRY07</font></b>] <span id="BLRY07">'''Bodenheimer, P., Laughlin, G. P., R&oacute;&#380;yczka, M. &amp; Yorke, H. W.''' 2007,</span> Numerical Methods in Astrophysics  <font size="-1">An Introduction</font> (New York: Taylor &amp; Francis)

* [<b><font color="red">C67</font></b>] <span id="C67">'''Chandrasekhar, S.''' 1967 (originally, 1939),</span> An Introduction to the Study of Stellar Structure (New York: Dover)

* [<b><font color="red">H87</font></b>] <span id="H87">'''Huang, K.''' 1987 (originally 1963),</span> Statistical Mechanics (New York: John Wiley &amp; Sons)

* [<b><font color="red">KW94</font></b>] <span id="KW94">'''Kippenhahn, R. &amp; Weigert, A.''' 1994,</span> Stellar Structure and Evolution (New York: Springer-Verlag)

* [<b><font color="red">LL75</font></b>] <span id="LL75">'''Laundau, L. D. &amp; Lifshitz, E. M.''' 1975</span> (originally, 1959), Fluid Mechanics (New York: Pergamon Press)

* [<b><font color="red">P00</font></b>] <span id="P00">'''Padmanabhan, T.''' 2000,</span> Theoretical Astrophysics.  Volume I: Astrophysical Processes (Cambridge: Cambridge University Press); and Padmanabhan, T. 2001, Theoretical Astrophysics.  Volume II: Stars and Stellar Systems (Cambridge: Cambridge University Press)

* [<b><font color="red">ST83</font></b>] <span id="ST83">[http://adsabs.harvard.edu/abs/1983bhwd.book.....S '''Shapiro, S. L. &amp; Teukolsky, S. A.''' 1983],</span> Black Holes, White Dwarfs, and Neutron Stars:  The Physics of Compact Objects (New York: John Wiley &amp; Sons); republished in 2004 by WILEY-VCH Verlag GmbH &amp; Co. KGaA

==Other References (Listed Chronologically)==

* [<b><font color="red">Lamb32</font></b>] <span id="Lamb32">'''Lamb, Horace''' 1932 (originally, 1879; we're referencing a 1945 reprint of), 6<sup>th</sup> Edition,</span> Hydrodynamics (New York:  Dover)

* [<b><font color="red">MF53</font></b>] <span id="MF53">'''Morse, Philip M. &amp; Feshbach, H.''' 1953,</span> Methods of Theoretical Physics:  Parts I and II (New York:  McGraw-Hill Book Company)

* [<b><font color="red">Clayton68</font></b>] <span id="Clayton68">'''Clayton, Donald D.''' 1968,</span> Principles of Stellar Evolution and Nucleosynthesis (New York:  McGraw-Hill Book Company)

* [<b><font color="red">EFE</font></b>] <span id="EFE">'''Chandrasekhar, S.''' 1987 (originally, 1969),</span> Ellipsoidal Figures of Equilibrium (New York: Dover)

* [<b><font color="red">CRC</font></b>] <span id="CRC">'''Selby, Samuel M.''' 1971 (19<sup>th</sup> edition),</span> CRC Standard Mathematical Tables (Cleveland, Ohio:  The Chemical Rubber Co.)

* [<b><font color="red">T78</font></b>] <span id="T78">'''Tassoul, Jean-Louis''' 1978,</span> Theory of Rotating Stars (Princeton, NJ:  Princeton Univ. Press)

* [<b><font color="red">Shu92</font></b>] <span id="Shu92">'''Shu, Frank H.''' 1992,</span> The Physics of Astrophysics, Volume I: Radiation &amp; Volume II: Gas Dynamics (Mill Valey, California: University Science Books)

* [<b><font color="red">HK94</font></b>] <span id="HK94"> [http://adsabs.harvard.edu/abs/1994sipp.book.....H '''Hansen, C. J. &amp; Kawaler, S. D.''' 1994],</span> Stellar Interiors:  Physical Principles, Structure, and Evolution (New York:  Springer-Verlag)

* [<b><font color="red">Maeder09</font></b>] <span id="Maeder09">'''Maeder, Andr&eacute;''' 2009,</span> Physics, Formation and Evolution of Rotating Stars (Berlin:  Springer)

* [<b><font color="red">Choudhuri10</font></b>] <span id="Choudhuri10">'''Choudhuri, Arnab Rai''' 2010,</span> Astrophysics for Physicists (Cambridge:  Cambridge University Press)

=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 &amp; 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 &amp; 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 &amp; 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 &amp; Ellipsoidal Sequences==
* [Publication V] [https://ui.adsabs.harvard.edu/abs/1962ApJ...135..248C/abstract S. Chandrasekhar &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; 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 &amp; N. R. Lebovitz (1962)], ApJ, 136, 1105:  ''On the occurrence of multiple frequencies and beats in the &beta; Canis Majoris stars''
* [Publication XVII] [https://ui.adsabs.harvard.edu/abs/1963ApJ...138..185C/abstract S. Chandrasekhar &amp; 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 &amp; 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 &#8212; 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''

=See Also=
* [https://www.lib.uchicago.edu/e/scrc/findingaids/view.php?eadid=ICU.SPCL.CHANDRASEKHAR Guide to the Subrahmanyan Chandrasekhar Papers 1913 - 2011] (University of Chicago Library)

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