Appendix/References

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:

1. Dyson1893
2. Dyson1893full
3. Dyson1893figure     $\Leftarrow$     This template is highlighted below.
4. BAC84hereafter

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

19^th Century

TT1867

W. Thomson & P. G. Tait (1867)
Treatise on Natural Philosophy
Oxford at the Clarendon Press (London: MacMillan and Co.)

Acknowledgements (p. ix): "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."

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Clausius1870

R. J. E. Clausius (1870)
On a Mechanical Theorem Applicable to Heat
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Ser. 4, Vol. 40, issue 265, pp. 122 - 127

Acknowledgements:  n/a

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Lane1870

📚 J. H. Lane (1870, The American Journal of Science and Arts, Vol. 50, pp. 57 - 74)
📚 Lane (1870)
Lane1870

J. H. Lane (1870)
On the Theoretical Temperature of the Sun
under the Hypothesis of a Gaseous Mass Maintaining Its Volume
by Its Internal Heat and Depending on the Laws of Gases Known to Terrestrial Experiment
The American Journal of Science and Arts, Vol. 50, pp. 57 - 74

Acknowledgements:  n/a

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Ferrers1877

📚 N. M. Ferrers (1877, Quart. J. Pure Appl. Math., Vol. 14, pp. 1 - 22)
📚 Ferrers (1877)
Ferrers1877

N. M. Ferrers (1877)
On the Potentials of Ellipsoids, Ellipsoidal Shells, Elliptic Laminæ, and Elliptic Rings, of Variable Densities
The Quarterly Journal of Pure and Applied Mathematics, Vol. 14, pp. 1 - 22

Acknowledgements:  n/a

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Dyson1893a

📚 F. W. Dyson (1893, Phil. Trans. Royal Soc. London. A., Vol. 184, pp. 43 - 95)
📚 Dyson (1893a)
Dyson1893Part1

F. W. Dyson (1893)
The Potential of an Anchor Ring
Philosophical Transactions of the Royal Society of London. A., Vol. 184, pp. 43 - 95

Acknowledgements:  n/a

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Dyson1893b

📚 F. W. Dyson (1893, Phil. Trans. Royal Soc. London. A., Vol. 184, pp. 1041 - 1106)
📚 Dyson (1893b)
Dyson1893Part2

📚 F. W. Dyson (1893)
The Potential of an Anchor Ring. Part II
Philosophical Transactions of the Royal Society of London. A., Vol. 184, pp. 1041 - 1106

Acknowledgements:  n/a

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20^th Century

Decade0

Darwin06

G. H. Darwin (1906)
IV.  On the figure and stability of a liquid satellite
Philosophical Transactions of the Royal Society A, Vol. 206, pp. 161 - 248

Acknowledgements: n/a

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Emden07

R. Emden (1907)
Book titled:  Gaskugeln
Leipzig und Berlin, Druck und Verlag von B. G. Teubner

Acknowledgements:  n/a

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Decade1

Eddington18

A. S. Eddington (1918)
On the Pulsations of a Gaseous Star and the Problem of the Cepheid Variables.   Part I.
Monthly Notices of the Royal Astronomical Society, Vol. 79, pp. 2 - 22

Acknowledgements:  n/a

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Decade2

Miller29

J. C. P. Miller (1929)
The Effect of Distribution of Density on the Period of Pulsation of a Star
Monthly Notices of the Royal Astronomical Society, Vol. 90, pp. 59 - 64

Acknowledgements (p. 64): "I am greatly indebted to Professor Eddington for his valuable suggestions and help."

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Decade3

Milne30

E. A. Milne (1930)
The Analysis of Stellar Structure
Monthly Notices of the Royal Astronomical Society, Vol. 91, pp. 4 - 55

Acknowledgements (p. 55): "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 $n=3$ 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 $n=\frac{3}{2}$ equation which (though searching for it) I had entirely overlooked."

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Chandrasekhar35

S. Chandrasekhar (1935)
The Highly Collapsed Configurations of a Stellar Mass. (Second Paper)
Monthly Notices of the Royal Astronomical Society, Vol. 95, pp. 207 - 225

Acknowledgements (p. 225): "I am indebted to Dr. Comrie and Mr. Sadler for the loan of a manuscript copy of a seven-figure table for ${\sinh }^{-1}x$, which was valuable in the computations of $f(x)$."

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Sterne37

T. E. Sterne (1937)
Models of Radial Oscillation
Monthly Notices of the Royal Astronomical Society, Vol. 97, pp. 582 - 593

Acknowledgements:   n/a

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Decade4

LP41

P. Ledoux & C. L. Pekeris (1941)
Radial Pulsations of Stars
The Astrophysical Journal, Vol. 94, pp. 124 - 135

Acknowledgements:  n/a

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Schwarzschild41

M. Schwarzschild (1941)
Overtone Pulsations for the Standard [Stellar] Model
The Astrophysical Journal, Vol. 94, pp. 245 - 252

Acknowledgements (p. 252): "I am indebted to Miss Lillian Feinstein for her most helpful co-operation in the work with the punched-card machines."

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HC41

L. R. Henrich & S. Chandrasekhar (1941)
Stellar Models with Isothermal Cores
The Astrophysical Journal, Vol. 94, pp. 525 - 536

Acknowledgements:   n/a

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Cowling41

T. G. Cowling (1941)
The Non-radial Oscillations of Polytropic Stars
Monthly Notices of the Royal Astronomical Society, Vol. 101, pp. 367 - 375

Acknowledgements:  n/a

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SC42

M. Schönberg & S. Chandrasekhar (1942)
On the Evolution of the Main-Sequence Stars
The Astrophysical Journal, Vol. 96, pp. 161 - 172

Acknowledgements:  n/a

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Ledoux46

📚 P. Ledoux (1946, ApJ, Vol. 140, pp. 333 - 346)
📚 Ledoux (1946)
Ledoux46

P. Ledoux (1946)
On the Dynamical Stability of Stars
The Astrophysical Journal, Vol. 140, pp. 333 - 346

Acknowledgements:   n/a

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Kopal48

📚 Z. Kopal (1948, Proc. NAS, Vol. 34, Issue 8, pp.377-384)
📚 Kopal (1948)
Kopal48

Z. Kopal (1948)
Radial Oscillations of the Limiting Models of Polytropic Gas Spheres
Proceedings of the National Academy of Sciences of the United States of America, Vol. 34, Issue 8, pp.377-384

Acknowledgements:  n/a

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Prasad48

📚 C. Prasad (1948, MNRAS, Vol. 108, pp. 414 - 416)
📚 Prasad (1948)
Prasad48

C. Prasad (1948)
Radial Oscillations of a Particular Stellar Model
Monthly Notices of the Royal Astronomical Society, Vol. 108, pp. 414 - 416

Acknowledgements (p. 416): "I am grateful to Professor E. A. Milne for his kind encouragement and suggestions for improvement."

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CW49

S. Chandrasekhar & G. W. Wares (1949)
The Isothermal Function
The Astrophysical Journal, Vol. 109, pp. 551 - 554

Acknowledgements:   n/a

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Prasad49

📚 C. Prasad (1949, MNRAS, Vol 109, pp. 103 - 107)
📚 Prasad (1949)
Prasad49

C. Prasad (1949)
Radial Oscillations of a Stellar Model
Monthly Notices of the Royal Astronomical Society, Vol 109, pp. 103 - 107

Acknowledgements (p. 107): "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."

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Decade5

Chatterji51

L. D. Chatterji (1951)
Radial Oscillations of a Gaseous Star of Polytropic Index I
Publication of the Indian National Science Academy, Vol. 17, No. 6, pp. 467 - 470

Acknowledgements (p. 470): "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."

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Chatterji52

L. D. Chatterji (1952)
Anharmonic Pulsations of a Polytropic Model of Index Unity
Publication of the Indian National Science Academy, Vol. 18, No. 3, pp. 187 - 191

Acknowledgements (p. 191): "I am indebted to Prof. A. C. Banerji for his keen interest in this paper."

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CF53

S. Chandrasekhar & E. Fermi (1953)
Problems of Gravitational Stability in the Presence of a Magnetic Field
The Astrophysical Journal, Vol. 118, pp. 116 - 141

Acknowledgements:  n/a

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Ebert55

📚 R. Ebert (1955, Zeitschrift für Astrophysik, Vol. 37, pp. 217 - 232)
📚 Ebert (1955)
Ebert55

R. Ebert (1955)
Über die Verdichtung von HI-Gebieten
Zeitschrift für Astrophysik, Vol. 37, pp. 217 - 232

Acknowledgements (p. 232): "Herrn Prof. v. Weissäcker bin ich für die Ermöglichung dieser Arbeit und für viele Diskussionen zu großem Dank verpflichtet. Dem Max-Planck-Institut für Physik danke ich für die Gewährung eines Stipendiums."

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Bonnor56

W. B. Bonnor (1956)
Boyle's Law and gravitational instability
Monthly Notices of the Royal Astronomical Society
Vol. 116, pp. 351 - 359

Acknowledgements:  n/a

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MS56

L. Mestel & L. Spitzer, Jr. (1956)
Star Formation in Magnetic Dust Clouds
Monthly Notices of the Royal Astronomical Society, Vol. 116, pp. 503 - 514

Acknowledgements (p. 513): "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."

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LW58

P. Ledoux & Th. Walraven (1958)
Variable Stars
Handbuch der Physik, Vol. 51, pp. 353 - 604

Acknowledgements:  n/a

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Decade6

Lebovitz61

N. R. Lebovitz (1961)
The Virial Tensor and Its Application to Self-Gravitating Fluids
The Astrophysical Journal, Vol. 134, pp. 500 - 536

Acknowledgements (p. 532): "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."

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PG61

C. Prasad & H. S. Gurm (1961)
Radial Pulsations of the Polytrope $n=2$
Monthly Notices of the Royal Astronomical Society, Vol. 122, pp. 409 - 411

Acknowledgements:  n/a

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Hunter62

C. Hunter (1962)
The Instability of the Collapse of a Self-Gravitating Gas Cloud
The Astrophysical Journal, Vol. 136, pp. 594 - 608

Acknowledgements (p. 608): "I am very grateful to Dr. L. Mestel for introducing me to this problem and for his interest and advice throughout." "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."

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LB62

D. Lynden-Bell (1962)
On the Gravitational Collapse of a Cold Rotating Gas Cloud
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 58, Issue 4, pp. 709 - 711

Acknowledgements:  n/a

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Chandrasekhar63_XIX

S. Chandrasekhar (1963)
The Equilibrium and the Stability of the Roche Ellipsoids
The Astrophysical Journal, Vol. 138, pp. 1182 - 1213

Acknowledgements (p. 1212): "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." "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."

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Chandrasekhar65_XXV

S. Chandrasekhar (1965)
The Equilibrium and the Stability of the Riemann Ellipsoids. I.
The Astrophysical Journal, Vol. 142, pp. 890 - 961

Acknowledgements (p. 921): "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." "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."

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LMS65

C. C. Lin, L. Mestel, & F. H. Shu (1965)
The Gravitational Collapse of a Uniform Spheroid
The Astrophysical Journal, Vol. 142, pp. 1431 - 1446

Acknowledgements (p. 1446): "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." "This work is supported in part by the National Aeronautics and space Administration through the Center for Space Research at Massachusetts Institute of Technology."

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Mestel65

L. Mestel (1965)
Problems of Star Formation — I
Quarterly Journal of the Royal Astronomical Society, Vol. 6, pp. 161 - 198

Acknowledgements:  n/a

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Stoeckly65

R. Stoeckly (1965)
Polytropic Models with Fast, Non-Uniform Rotation
The Astrophysical Journal, Vol. 142, pp. 208 - 228

Acknowledgements (p. 228): "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."

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Chandrasekhar66_XXVIII

S. Chandrasekhar (1966)
The Equilibrium and the Stability of the Riemann Ellipsoids. II.
The Astrophysical Journal, Vol. 145, pp. 842 - 877

Acknowledgements (p. 877): "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 calculations1, 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." "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." 1The machine calculations were performed with an IBM 1620 computer at the Yerkes Observatory.

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HRW66

M. Hurley, P. H. Roberts, & K. Wright (1966)
The Oscillations of Gas Spheres
The Astrophysical Journal, Vol. 143, pp. 535 - 551

Acknowledgements (p. 551): "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)."

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Stein66

📚 R. F. Stein (1966, in Stellar Evolution, Proceedings of an International Conference held at the Goddard Space Flight Center, Greenbelt, MD, U.S.A., edited by R. F. Stein & A. G. W. Cameron, pp. 1-105)
📚 Stein (1966)
Stein66

R. F. Stein (1966)
A Survey with Analytic Models
in Stellar Evolution, Proceedings of an International Conference
held at the Goddard Space Flight Center, Greenbelt, MD, U.S.A.
edited by R. F. Stein & A. G. W. Cameron, pp. 1-105

Acknowledgements:  n/a

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Chandrasekhar67_XXX

📚 S. Chandrasekhar (1967a, ApJ, Vol. 147, pp. 334 - 352) — referred to in [EFE] as Publication XXX
📚 Chandrasekhar (1967a)
Chandrasekhar67a

S. Chandrasekhar (1967a)
The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies
II. The Deformed Figures of the Maclaurin Spheroids
The Astrophysical Journal, Vol. 147, pp. 334 - 352

Acknowledgements (p. 351): "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."

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Chandrasekhar67_XXXII

📚 S. Chandrasekhar (1967b, ApJ, Vol. 148, pp. 621 - 644) — referred to in [EFE] as Publication XXXII
📚 Chandrasekhar (1967b)
Chandrasekhar67b

S. Chandrasekhar (1967b)
The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies
III. The Deformed Figures of the Jacobi Ellipsoids
The Astrophysical Journal, Vol. 148, pp. 621 - 644

Acknowledgements (p. 641): "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."

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Iben67

📚 I. Iben, Jr. (1967, ApJ, Vol. 147, pp. 624 - 649)
📚 Iben (1967)
Iben67

I. Iben, Jr. (1967)
Stellar Evolution.   VI. Evolution from the Main Sequence to the Red-Giant Branch
for Stars of Mass $1M_{\odot }$, $1.25M_{\odot }$, and $1.5M_{\odot }$
The Astrophysical Journal, Vol. 147, pp. 624 - 649)

Acknowledgements (p. 649): "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 He3 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."

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LBO67

D. Lynden-Bell & P. Ostriker (1967)
On the Stability of Differentially Rotating Bodies
Monthly Notices of the Royal Astronomical Society, Vol. 136, pp. 293 - 310

Acknowledgements (p. 310): "D. Lynden-Bell would like to thank Professor Oort for the hospitality of the Leiden Observatory in 1964 December where this work began."

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Lebovitz67_XXXIV

📚 N. R. Lebovitz (1967, ARAA, Vol. 5, pp. 465 - 480) — referred to in [EFE] as Publication XXXIV
📚 Lebovitz (1967)
Lebovitz67

N. R. Lebovitz (1967)
Rotating Fluid Masses
Annual Review of Astronomy and Astrophysics, Vol. 5, pp. 465 - 480

Acknowledgements (p. 479): "This article was written with the support of the Air Force Office of Scientific Research, through grant AF-AFOSR-712-67."

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Rossner67_XXXVIII

📚 L. F. Rossner (1967, ApJ, Vol. 149, pp. 145 - 168) — referred to in [EFE] as Publication XXXVIII
📚 Rossner (1967)
Rossner67

L. F. Rossner (1967)
The Finite-Amplitude Oscillations of the Maclaurin Spheroids
The Astrophysical Journal, Vol. 149, pp. 145 - 168

Acknowledgements (p. 168): "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."

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SF67

R. Stothers & J. A. Frogel (1967)
The Linear Star Model and Dynamical Instability
The Astrophysical Journal, Vol. 148, pp. 305 - 309

Acknowledgements (p. 309): "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."

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Chandrasekhar68_XXXV

📚 S. Chandrasekhar (1968, ApJ, Vol. 152, pp. 293 - 304) — referred to in [EFE] as Publication XXXV
📚 Chandrasekhar (1968)
Chandrasekhar68

S. Chandrasekhar (1968)
The Virial Equations of the Fourth Order
The Astrophysical Journal, Vol. 152, pp. 293 - 304

Acknowledgements (p. 303): "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."

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OB68

J. P. Ostriker & P. Bodenheimer (1968)
Rapidly Rotating Stars. II. Massive White Dwarfs
The Astrophysical Journal, Vol. 151, pp. 1089 - 1098)]

Acknowledgements (p. 1093): "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."

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OM68

J. P. Ostriker & J. W.-K. Mark (1968)
Rapidly Rotating Stars. I. The Self-Consistent-Field Method
The Astrophysical Journal, Vol. 151, pp. 1075 - 1088

Acknowledgements (p. 1087): "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)."

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Yabushita68

📚 S. Yabushita (1968, MNRAS, Vol. 140, pp. 109 - 120)
📚 Yabushita (1968)
Yabushita68

S. Yabushita (1968)
Jeans's Type Gravitational Instability of Finite Isothermal Gas Spheres
Monthly Notices of the Royal Astronomical Society, Vol. 140, pp. 109 - 120

Acknowledgements (p. 120): "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."

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Decade7

BO70

P. Bodenheimer & J. P. Ostriker (1970)
Rapidly Rotating Stars. VI. Pre-Main-Sequence Evolution of Massive Stars
The Astrophysical Journal, Vol. 161, pp. 1101 - 1113

Acknowledgements (p. 1113): "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."

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Horedt70

Gp. Horedt (1970)
Gravitational Instability of Polytropic Gas Spheres Under External Pressure
Monthly Notices of the Royal Astronomical Society, Vol. 151, pp. 81 - 86

Acknowledgements (p. 85): "The author is greatly indebted to Dr M. Penston for his precious support and to an anonymous referee."

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VdBorght70

R. Van der Borght (1970)
Adiabatic Oscillations of Stars
Proceedings of the Astronomical Society of Australia, Vol. 1, Issue 7, pp. 325 - 326

Acknowledgements:  n/a

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Bardeen71

J. M. Bardeen (1971)
A Reexamination of the Post-Newtonian Maclaurin Spheroids
The Astrophysical Journal, Vol. 167, pp. 425 - 446

Acknowledgements (p. 443): "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."

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BO73

P. Bodenheimer & J. P. Ostriker (1973)
Rapidly Rotating Stars. VIII. Zero-Viscosity Polytropic Sequences
The Astrophysical Journal, Vol. 180, pp. 159 - 170

Acknowledgements (p. 169): "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."

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Wong73

C. Y. Wong (1973)
Toroidal and Spherical Bubble Nuclei
Annals of Physics, Vol. 77, issue 1, pp. 279 - 353

Acknowledgements (p. 352): "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."

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B-KB74

G. S. Bisnovatyi-Kogan & S. I. Blinnikov (1974)
Static Criteria for Stability of Arbitrarily Rotating Stars
Astronomy & Astrophysics, Vol. 31, pp. 391 - 404

Acknowledgements (p. 402): "The authors wish to express their gratitude to Zeldovich for helpful discussions."

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Lebovitz74

N. R. Lebovitz (1974)
The Fission Theory of Binary Stars,  II. Stability to Third-Harmonics Disturbances
The Astrophysical Journal, Vol. 190, pp. 121 - 130

Acknowledgements (p. 130): "The research reported here was supported by the National Science Foundation under grant NSF GP-22584. I wish to thank Dr. Giles Auchmuty for a helpful conversation." (Note: A Google search led to a scanned NSF budget sheet identifying N. R. Lebovitz as the recipient of Grant No. GP22584 from "Mathematics" — FY '71 and 12 month duration — titled, Structural Stability of Rotating Fluid Systems.)

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TVH74

L. G. Taff, & H. M. van Horn (1974)
Radial Pulsations of Finite Isothermal Gas Spheres
Monthly Notices of the Royal Astronomical Society,
Vol. 168, pp. 427 - 432

Acknowledgements (p. 431): "This work was supported by the National Science Foundation (U.S.A.) under grant GP-36098."

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VH74

Y. P. Viala & Gp. Horedt (1974)
Polytropic Sheets, Cylinders and Spheres with Negative Index
Astronomy & Astrophysics, Vol. 33, pp. 195 - 202

Acknowledgements:  n/a

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Wong74

C. -Y. Wong (1974)
Toroidal Figures of Equilibrium
The Astrophysical Journal, Vol. 190, pp. 675 - 694

Acknowledgements (p. 689): "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."

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Yabushita74

📚 S. Yabushita (1974, MNRAS, Vol. 167, pp. 95 - 102)
📚 Yabushita (1974)
Yabushita74

S. Yabushita (1974)
On the Analogy Between Neutron Star Models and
Isothermal Gas Spheres and their General Relativistic Instability
Monthly Notices of the Royal Astronomical Society, Vol. 167, pp. 95 - 102

Acknowledgements:   n/a

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Yabushita75

📚 S. Yabushita (1975, MNRAS, Vol. 172, pp. 441 - 453)
📚 Yabushita (1975)
Yabushita75

S. Yabushita (1975)
On the Structure and Stability of a Polytrope with an Isothermal Core
Monthly Notices of the Royal Astronomical Society, Vol. 172, pp. 441 - 453

Acknowledgements (p. 453): "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."

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Weber76

S. V. Weber (1976)
Oscillation and Collapse of Interstellar Clouds
The Astrophysical Journal, Vol. 208, pp. 113 - 126

Acknowledgements (p. 123): "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."

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MPT77

P. S. Marcus, W. H. Press, & S. A. Teukolsky (1977)
Stablest Shapes for an Axisymmetric Body of Gravitating, Incompressible Fluid
The Astrophysical Journal, Vol. 214, pp. 584 - 597

Acknowledgements (p. 597): "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."

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Buchdahl78

H. A. Buchdahl (1978)
Remark on the polytrope of index 5
Australian Journal of Physics, Vol. 31, pp. 115 - 116

Acknowledgements:  n/a

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Collins78

George W. Collins, II (1978)
The Virial Theorem in Stellar Astrophysics
© Pachart Publishing House

Acknowledgements:  n/a

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Eriguchi78

Y. Eriguchi (1978)
Hydrostatic Equilibria of Rotating Polytropes
Publications of the Astronomical Society of Japan, Vol. 30, pp. 507 - 518

Acknowledgements (p. 515): "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. This paper is based on the author's dissertation, submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."

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Clement79

M. J. Clement (1979)
On the Equilibrium and Secular Instability of Rapidly Rotating Stars
The Astrophysical Journal, Vol. 230, pp. 230 - 242

Acknowledgements (p. 242): "This work has been supported in part by the National Research Council of Canada."

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Hachisu79

I. Hachisu (1979)
Gravogyro Catastrophe of Self-Gravitating and Rotating Systems
Publications of the Astronomical Society of Japan, Vol. 31, pp. 523 - 540

Acknowledgements (p. 538): "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."

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Lebovitz79

📚 N. R. Lebovitz (1979, ApJ, Vol. 234, pp. 619 - 627)
📚 Lebovitz (1979)
Lebovitz79

N. R. Lebovitz (1979)
Ellipsoidal Potentials of Polynomial Distributions of Matter
The Astrophysical Journal, Vol. 234, Dec. 1, pp. 619 - 627

Acknowledgements (p. 625): "The actual expressions for $V_{\mu }$ for large $|\mu |$ are too lengthy to list. All those for which $|\mu |\le 7$ 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 $|\mu |$." "The research reported here was supported in part by the National Science foundation through grant 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."

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Decade8

FESB-K80

NOTE:     Some of the results of this work are demonstratively wrong; they have been superseded by the results presented in HES82, below.

T. Fukushima, Y. Eriguchi, D. Sugimoto, & G. S. Bisnovatyi-Kogan (1980)
Concave Hamburger Equilibrium of Rotating Bodies
Progress of Theoretical Physics, Vol. 63, No. 6, pp. 1957 - 1970

Acknowledgements (p. 1996): "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)."

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GW80

P. Goldreich & S. V. Weber (1980)
Homologously Collapsing Stellar Cores
The Astrophysical Journal, Vol. 238, pp. 991 - 997

Acknowledgements (p. 996): "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 AST78-21453 and AST76-80801 A02."

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EF81

📚 P. P. Eggleton, & J. Faulkner (1981, in Physical processes in red giants; Proceedings of the Second Workshop, Erice, Italy, September 3-13, Dordrecht, D. Reidel Publishing Co., pp. 179 - 182)
📚 Eggleton & Faulkner (1981)
EF81

📚 P. P. Eggleton & J. Faulkner (1981)
Why do stars become red giants
in Physical processes in red giants; Proceedings of the Second Workshop, Erice, Italy, September 3-13
Dordrecht, D. Reidel Publishing Co., pp. 179 - 182

Acknowledgements:  n/a

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ES81

Y. Eriguchi & D. Sugimoto (1981)
Another Equilibrium Sequence of Self-Gravitating and Rotating Incompressible Fluid
Progress of Theoretical Physics, Vol. 65, No. 6, pp. 1870 - 1875

Acknowledgements (p. 1874): "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)."

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Kimura81b

H. Kimura (1981)
A Study of Simple Polytropes.   II.  Stability against Homologous Contraction
Publication of the Astronomical Society of Japan, Vol. 33, pp. 299 - 312

Acknowledgements (p. 308): "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."

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Whitworth81

A. Whitworth (1981)
Global Gravitational Stability for One-Dimensional Polytropes
Monthly Notices of the Royal Astronomical Society, Vol. 195, pp. 967 - 977

Acknowledgements:  n/a

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Tohline81

J. E. Tohline (1981)
The Collapse to Equilibrium of Rotating, Adiabatic Spheroids.  I. Protostars
The Astrophysical Journal, Vol. 248, pp. 717 - 726

Acknowledgements (p. 726): "Because Leon Mestel's (1965; Mestel65) 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." "This work was performed under the auspices of the USERDA."

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EH82

Y. Eriguchi & I. Hachisu (1982)
New Equilibrium Sequences Bifurcating from Maclaurin Sequence
Progress of Theoretical Physics, Vol. 67, No. 3, pp. 844 - 851

Acknowledgements (p. 851): "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)."

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EHS82

Y. Eriguchi, I. Hachisu, & D. Sugimoto (1982)
Dumb-Bell-Shape Equilibria and Mass-Shedding Pear-Shape
of Selfgravitating Incompressible Fluid
Progress of Theoretical Physics, Vol. 67, No. 4, pp. 1068 - 1075

Acknowledgements (p. 1075): "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)."

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Hachisu82

📚 Hachisu (1982)
Gravothermal and Gravogyro Catastrophes of Rotating and Self-Gravitating Gaseous Disks
Publications of the Astronomical Society of Japan, Vol. 34, pp. 313 - 335

Acknowledgements (p. 333): "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. This paper is based on the author's dissertation submitted to the University of Tokyo, in partial fulfillment of the requirements for the doctorate."

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HE82

I. Hachisu & Y. Eriguchi (1982)
Bifurcation and Fission of Three Dimensional, Rigidly Rotating and Self-Gravitating Polytropes
Progress of Theoretical Physics, Vol. 68, No. 1, pp. 206 - 221

Acknowledgements (p. 220): "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)."

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HES82

I. Hachisu, Y. Eriguchi, & D. Sugimoto (1982)
Rapidly Rotating Polytropes and Concave Hamburger Equilibrium
Progress of Theoretical Physics, Vol. 68, No. 1, pp. 191 - 205

Acknowledgements (p. 204): "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. 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."

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HNM82

C. Hayashi, S. Narita, & S. M. Miyama (1982)
Analytic Solutions for Equilibrium of Rotating Isothermal Clouds:
One-Parameter Family of Axisymmetric and Conformal Configurations
Progress of Theoretical Physics, Vol. 68, No. 6, pp. 1949 - 1966

Acknowledgements (p. 1966): "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)."

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EH83a

Y. Eriguchi & I. Hachisu (1983a)
Two Kinds of Axially Symmetric Equilibrium Sequences of Self-Gravitating and Rotating Incompressible Fluid
— Two-Ring Sequence and Core-Ring Sequence —
Progress of Theoretical Physics, Vol. 69, No. 4, pp. 1131 - 1136

Acknowledgements (p. 1136): "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."

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EH83b

Y. Eriguchi & I. Hachisu (1983b)
Gravitational Equilibrium of a Multi-Body Fluid System
Progress of Theoretical Physics, Vol. 70, No. 6, pp. 1534 - 1541

Acknowledgements (p. 1541): "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."

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HE83

I. Hachisu & Y. Eriguchi (1983)
Bifurcations and Phase Transitions of Self-Gravitating and Uniformly Rotating Fluid
Monthly Notices of the Royal Astronomical Society, Vol. 204, pp. 583 - 589

Acknowledgements (p. 586): "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."

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Stahler83

S. W. Stahler (1983)
The Equilibria of Rotating Isothermal Clouds.
II. Structure and Dynamical Stability
The Astrophysical Journal, Vol. 268, pp. 165 - 184

Acknowledgements (p. 180): "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 AST81-16370."

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BAC84

📚 J. R. Bond, W. D. Arnett, & B. J. Carr (1984, ApJ, Vol. 280, pp. 825 - 847)
📚 Bond, Arnett, & Carr (1984)
BAC84

J. R. Bond, W. D. Arnett, & B. J. Carr (1984)
The Evolution and Fate of Very Massive Objects
The Astrophysical Journal, Vol. 280, May 15, pp. 825 - 847

Acknowledgements (p. 844): "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 AST-80-22876 at Chicago, NSF AST 79-23243 at Berkeley, and NSF PHY 81-19387 at Stanford, and by the SERC at Cambridge."

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HE84

I. Hachisu & Y. Eriguchi (1984)
Bifurcation Points on the Maclaurin Sequence
Publications of the Astronomical Society of Japan, Vol. 36, No. 3, pp. 497 - 503

Acknowledgements (p. 502): "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."

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HE84b

I. Hachisu & Y. Eriguchi (1984b)
Fission of Dumbbell Equilibrium and Binary State of Rapidly Rotating Polytropes
Publications of the Astronomical Society of Japan, Vol. 36, No. 2, pp. 239 - 257

Acknowledgements (p. 256): "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."

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HE84c

📚 I. Hachisu & Y. Eriguchi (1984c, Ap&SS, Vol. 99, pp. 71 - 74)
📚 Hachisu & Eriguchi (1984c)
HE84c

I. Hachisu & Y. Eriguchi (1984c)
Fission Sequence and Equilibrium Models of Rigidity [sic] Rotating Polytropes
in Double Stars, Physical Properties and Generic Relations; Proceedings of IAU Colloquium No. 80 held at Lambing, Java, June 3-7, 1983
Editors: Bambang Hidayat, Zdenek Kopal, Jurgen Rahe; Dordrecht, D. Reidel Publishing Co.
Astrophysics & Space Science, Vol. 99, pp. 71 - 74

Acknowledgements:  n/a

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PP84

J. C. B. Papaloizou & J. E. Pringle (1984)
The Dynamical Stability of Differentially Rotating Discs with Constant Specific Angular Momentum
Monthly Notices of the Royal Astronomical Society, Vol. 208, pp. 721 - 750

Acknowledgements (p. 750): "We thank Professor J. E. Ffowcs-Williams for bringing the article by Broadbent & 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."

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EH85

Y. Eriguchi & I. Hachisu (1985)
Maclaurin Hamburger Sequence
Astronomy and Astrophysics, Vol. 148, pp. 289 - 292

Acknowledgements (pp. 291 - 292): "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. Müller for a warm hospitality at Max-Planck-Institut für Astrophysik. Numerical computation was done at Max-Planck-Institut für 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."

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MF85b

J. O. Murphy & R. Fiedler (1985)
Radial Pulsations and Vibrational Stability of a Sequence of Two Zone Polytropic Stellar Models
Proceedings of the Astronomical Society of Australia, Vol. 6, no. 2, pp. 222 - 226

Acknowledgements:  n/a

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Tohline85

J. E. Tohline (1985)
Star Formation: Phase Transition Not Jeans Instability
The Astrophysical Journal, Vol. 292, pp. 181 - 187

Acknowledgements (p. 187): "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 AST-8217744."

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FWW86

G. M. Fuller, S. E. Woosley, & T. A. Weaver (1986)
The Evolution of Radiation-Dominated Stars.   I. Nonrotating Supermassive Stars
The Astrophysical Journal, Vol. 307, pp. 675 - 686

Acknowledgements (p. 685): "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 AST81-08509 A01 and AST 84-18185 and, at Livermore, by the Department of Energy under W-7405-EN6-48 [probably should be ENG, rather than EN6]."

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Hachisu86a

I. Hachisu (1986a)
A Versatile Method for Obtaining Structures of Rapidly Rotating Stars
The Astrophysical Journal Supplement Series, Vol. 61, pp. 479 - 507

Acknowledgements (p. 507): "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 AST-8501842."

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Hachisu86b

I. Hachisu (1986b)
A Versatile Method for Obtaining Structures of Rapidly Rotating Stars.
II. Three-Dimensional Self-Consistent Field Method
The Astrophysical Journal Supplement Series, Vol. 62, pp. 461 - 499

Acknowledgements (p. 499): "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 AST-8501842."

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Horedt86

G. P. Horedt (1986)
Seven-Digit Tables of Lane-Emden Functions
Astrophysics and Space Science, Vol. 126, Issue 2, pp. 357 - 408

Acknowledgements:  n/a

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HTE87

I. Hachisu, J. E. Tohline, & Y. Eriguchi (1987)
Fragmentation of Rapidly Rotating Gas Clouds. I. A Universal Criterion for Fragmentation
The Astrophysical Journal, Vol. 323, pp. 592 - 613

Acknowledgements (p. 609): "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 AST-8501842."

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Beech88

M. Beech (1988)
The Schoenberg-Chandrasekhar Limit — a Polytropic Approximation
Astrophysics and Space Science, Vol. 147, issue 2, pp. 219 - 227

Acknowledgements:  n/a

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Lebovitz89a

N. R. Lebovitz (1989a)
The Stability Equations for Rotating, Inviscid Fluids:   Galerkin Methods and Orthogonal Bases
Geophysical & Astrophysical Fluid Dynamics, Vol. 46:4, pp. 221 - 243

Acknowledgements (p. 237): "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. 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."

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Lebovitz89b

N. R. Lebovitz (1989b)
Lagrangian Perturbations of Riemann Ellipsoids
Geophysical & Astrophysical Fluid Dynamics, Vol. 47:1, pp. 225 - 236

Acknowledgements (p. 236): "The research reported here was supported in part by the National Science Foundation through Grant No. DMS-8602031 with the University of Chicago."

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Decade9

TH90

J. E. Tohline & I. Hachisu (1990)
The Breakup of Self-Gravitating Rings, Tori, and Thick Accretion Disks
The Astrophysical Journal, Vol. 361, pp. 394 - 407

Acknowledgements (p. 406): "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 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)."

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Yabushita92

📚 S. Yabushita (1992, Astrophysics and Space Science, Vol. 193, pp. 173 - 183)
📚 Yabushita (1992)
Yabushita92

S. Yabushita (1992)
Similarity Between the Structure and Stability of Isothermal and Polytropic Gas Spheres
Astrophysics and Space Science, Vol. 193, pp. 173 - 183

Acknowledgements:  n/a

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LRS93a

D. Lai, F. A. Rasio, & S. L. Shapiro (1993a)
Hydrodynamic Instability and Coalescence of Close Binary Systems
Astrophysical Journal Letters, Vol. 406, pp. L63 - L66

Acknowledgements (p. L66): "We thank L. Bildsten, J. Goodman, K. Thorne, and C. Will for useful discussions. This work was supported in part by NSF grant 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."

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LRS93b

D. Lai, F. A. Rasio, & S. L. Shapiro (1993)
Ellipsoidal Figures of Equilibrium:  Compressible Models
The Astrophysical Journal Supplement, Vol. 88, pp. 205 - 252

Acknowledgements (p. 248): "This work was supported by NSF grant 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."

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WTH94

J. W. Woodward, J. E. Tohline, & I. Hachisu (1994)
The Stability of Thick, Self-Gravitating Disks in Protostellar Systems
The Astrophysical Journal, Vol. 420, pp. 247 - 267

Acknowledgements (p. 265): "This work has been supported in part by the US National Science Foundation through grants AST-8701503 and 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."

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CKST95b

D. M. Christodoulou, D. Kazanas, I. Shlosman, & J. E. Tohline (1995b)
Phase-Transition Theory of Instabilities. II. Fourth-Harmonic Bifurcations and λ-Transitions
The Astrophysical Journal, Vol. 446, pp. 485 - 499

Acknowledgements (p. 495): "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 Universitäts-Sternwarte Göttingen, 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 AST 90-08166, and by grants from the San Diego Supercomputer Center and the National Center for Supercomputing Applications.

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CKST95d

D. M. Christodoulou, D. Kazanas, I. Shlosman, & J. E. Tohline (1995d)
Phase-Transition Theory of Instabilities.
IV.  Critical Points on the Maclaurin Sequence and Nonlinear Fission Processes
The Astrophysical Journal, Vol. 446, pp. 510 - 520

Acknowledgements (p. 519): "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 Universitäts-Sternwarte Göttingen, 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 AST 90-08166, and grants from the San Diego Supercomputer Center and the National Center for Supercomputing Applications.

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LL96

N. R. Lebovitz & A. Lifschitz (1996)
New Global Instabilities of the Riemann ellipsoids
The Astrophysical Journal, Vol. 458, pp. 699 - 713

Acknowledgements (p. 712): "The research reported here was supported by the National Science Foundation through grants DMS 9207808 [should be, DMS 9207080] with the University of Chicago (N. R. L.) and IRI 9924605 with the University of Illinois at Chicago (A. L.)."

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LL96b

📚 N. R. Lebovitz & A. Lifschitz (1996, Phil. Trans. R. Soc. Lond. A, Vol. 354, Issue 1709, pp. 927 - 950)
📚 Lebovitz & Lifschitz (1996b)
LL96b

N. R. Lebovitz & A. Lifschitz (1996)
Short-Wavelength Instabilities of Riemann Ellipsoids
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Vol. 354, Issue 1709, pp. 927 - 950

Acknowledgements (p. 946): "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 DMS9207080 with the University of Chicago (N. R. L.) and IRI9924605 with the University of Illinois at Chicago (A. L.)."

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PDD96

B. K. Pickett, R. H. Durisen, & G. A. Davis (1996)
The Dynamic Stability of Rotating Protostars and Protostellar Disks.
I. The Effects of the Angular Momentum Distribution
The Astrophysical Journal, Vol. 458, pp. 714 - 738

Acknowledgements (p. 737): "The authors thank M. S. Johnson for preparing animations of the $n^{\prime }=0.0,T/|W|=0.327$ and $n^{\prime }=2.0,T/|W|=0.207$ 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>. 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."

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NT97

K. C. B. New & J. E. Tohline (1997)
The Relative Stability Against Merger of Close, Compact Binaries
The Astrophysical Journal, Vol. 490, pp. 311 - 327

Acknowledgements (pp. 326 - 327): "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 Väth for useful conversations and assistance."

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EFC98

P. P. Eggleton, J. Faulkner, & R. C. Cannon (1998)
A Small Contribution to the Giant Problem
Monthly Notices of the Royal Astronomical Society, Vol. 298, issue 3, pp. 831 - 834

Acknowledgements (p. 833): "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) [should be PHY-8904035] for its hospitality at an earlier stage."

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CT99

H. S. Cohl & J. E. Tohline (1999)
A Compact Cylindrical Green's Function Expansion for the Solution of Potential Problems
The Astrophysical Journal, Vol. 527, pp. 86 - 101

Acknowledgements (p. 99): "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 AST-9528424 and 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."

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Meier99

D. L. Meier (1999)
Multidimensional Astrophysical Structural and Dynamical Analysis.
I. Development of a Nonlinear Finite Element Approach
The Astrophysical Journal, Vol. 518, pp. 788 - 813

Acknowledgements (p. 810): "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."

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21^st Century

CTRS2000

📚 H. S. Cohl, J. E. Tohline, A. R. P. Rau, & H. M. Srivastava (2000, Astronomische Nachrichten, Vol. 321, no. 5, pp. 363 - 372)
📚 Cohl, Tohline, Rau, & Srivastava (2000)
CTRS2000

H. S. Cohl, J. E. Tohline, A. R. P. Rau, & H. M. Srivastava (2000)
Developments in Determining the Gravitational Potential Using Toroidal Functions
Astronomische Nachrichten, Vol. 321, no. 5, pp. 363 - 372
and
Erratum (2012, Astr. Nach., 333, Issue 8, 784 - 785)

Acknowledgements (p. 371): "HSC would like to thank the LSU (Louisiana State University, U.S.A.) Department of Physics & Astronomy and Prof. J. Frank for providing travel support to attend the 200th 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 & Spencer (1961b) reference. Thanks to J. D. Jackson for pointing out the Magnus, Oberhettinger & 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 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."

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MTF2002

P. M. Motl, J. E. Tohline, & J. Frank (2002)
Numerical Methods for the Simulation of Dynamical Mass Transfer in Binaries
The Astrophysical Journal Supplement, Vol 138, Issue 1, pp. 121 - 148

Acknowledgements (p. 148): "This work has been performed with support from the National Science Foundation through grants AST-9720771, AST-9528424, AST-9987344, and DGE-935507 [should be, DGE-9355007] 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."

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AKM2003

📚 M. Ansorg, A. Kleinächter, & R. Meinel (2003, MNRAS, Vol. 339, Issue 2, pp. 515 - 523)
📚 Ansorg, Kleinächter, & Meinel (2003)
AKM2003

M. Ansorg A. Kleinächter, & R. Meinel (2003)
Uniformly Rotating Axisymmetric Fluid Configurations Bifurcating from Highly Flattened Maclaurin Spheroids
Monthly Notices of the Royal Astronomical Society, Vol. 339, Issue 2, pp. 515 - 523

Acknowledgements (p. 523): "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)."

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Hunter2003

📚 C. Hunter (2003, in Galaxies and Chaos; Editors: G. Contopoulos & Voglis, Springer, New York. Lecture Notes on Physics, Vol. 626, pp. 137 - 153)
📚 Hunter (2003)
Hunter2003

C. Hunter (2003)
Disk-Crossing Orbits
in Galaxies and Chaos; Editors: G. Contopoulos & Voglis, Springer, New York.
Lecture Notes on Physics, Vol. 626, pp. 137 - 153

Acknowledgements (p. 137): "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 DMS-0104751."

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Hunter2005

C. Hunter (2005)
Chaos in Orbits Due to Disk Crossings
Annals of the New York Academy of Sciences, Vol. 1045, pp. 120 - 138

Acknowledgements (p. 137): "This work was supported by the National Science Foundation grant DMS-0104751. The author declares that he has no competing financial interest."

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OT2006

S. Ou & J. E. Tohline (2006)
Unexpected Dynamical Instabilities in Differentially Rotating Neutron Stars
The Astrophysical Journal, Vol. 651, pp. 1068 - 1078

Acknowledgements (p. 1077): "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 AST 04-07070 and 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)."

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Ou2006

S. Ou (2006)
An Approximate Solver for Riemann and Riemann-Like Ellipsoidal Configurations
The Astrophysical Journal, Vol. 639, pp. 549 - 558

Acknowledgements (p. 558): "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 AST 04-07070 and PHY-0326311 and by the Center for Computation and Technology at LSU."

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ZEUS-MP2006

J. C. Hayes, et al. (2006, ZEUS-MP)
Simulating Radiating and Magnetized Flows in Multiple Dimensions with ZEUS-MP
The Astrophysical Journal Supplement, Vol. 165, Issue 1, pp. 188 - 228

Acknowledgements (p. 211): "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 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."

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OTM2007

S. Ou, J. E. Tohline, & P. M. Motl (2007)
Further Evidence for an Elliptical Instability in Rotating Fluid Bars and Ellipsoidal Stars
The Astrophysical Journal, Vol. 665, pp. 1074 - 1083)]

Acknowledgements (p. 1083): "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 AST-0407070 and 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)."

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PK2007

A. Y. Poludnenko & A. M. Khokhlov (2007)
Computation of Fluid Flows in Non-inertial Contracting, Expanding, and Rotating Reference Frames
Journal of Computational Physics, Vol. 220, Issue 2, pp. 678 - 711

Acknowledgements (p. 710): "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."

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BTZ2012

W. H. Ball, C. A. Tout, & A. N. Żytkow (2012)
Quasi-stars, Giants and the Schönberg-Chandrasekhar Limit
Monthly Notices of the Royal Astronomical Society, Vol. 421, issue 3, pp. 2713 - 2721

Acknowledgements (p. 2720): "WHB and ANŻ 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."

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MT2012

D. C. Marcello & J. E. Tohline (2012)
A Numerical Method for Studying Super-Eddington Mass Transfer in Double White Dwarf Binaries
The Astrophysical Journal Supplement, Vol. 199, Issue 2, article id. 35, 29 pp.

Acknowledgements (p. 27): "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 PHY-0803629, AST-0708551, EPS-1006891, OIA-0963375, and 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."

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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 key equations appendix.

• [BT87] Binney, J. & Tremaine, S. 1987, Galactic Dynamics (Princeton, NJ: Princeton University Press)

• [BLRY07] Bodenheimer, P., Laughlin, G. P., Różyczka, M. & Yorke, H. W. 2007, Numerical Methods in Astrophysics An Introduction (New York: Taylor & Francis)

• [C67] Chandrasekhar, S. 1967 (originally, 1939), An Introduction to the Study of Stellar Structure (New York: Dover)

• [H87] Huang, K. 1987 (originally 1963), Statistical Mechanics (New York: John Wiley & Sons)

• [KW94] Kippenhahn, R. & Weigert, A. 1994, Stellar Structure and Evolution (New York: Springer-Verlag)

• [LL75] Laundau, L. D. & Lifshitz, E. M. 1975 (originally, 1959), Fluid Mechanics (New York: Pergamon Press)

• [P00] Padmanabhan, T. 2000, 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)

• [ST83] Shapiro, S. L. & Teukolsky, S. A. 1983, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (New York: John Wiley & Sons); republished in 2004 by WILEY-VCH Verlag GmbH & Co. KGaA

Other References (Listed Chronologically)

• [Lamb32] Lamb, Horace 1932 (originally, 1879; we're referencing a 1945 reprint of), 6^th Edition, Hydrodynamics (New York: Dover)

• [MF53] Morse, Philip M. & Feshbach, H. 1953, Methods of Theoretical Physics: Parts I and II (New York: McGraw-Hill Book Company)

• [Clayton68] Clayton, Donald D. 1968, Principles of Stellar Evolution and Nucleosynthesis (New York: McGraw-Hill Book Company)

• [EFE] Chandrasekhar, S. 1987 (originally, 1969), Ellipsoidal Figures of Equilibrium (New York: Dover)

• [CRC] Selby, Samuel M. 1971 (19^th edition), CRC Standard Mathematical Tables (Cleveland, Ohio: The Chemical Rubber Co.)

• [T78] Tassoul, Jean-Louis 1978, Theory of Rotating Stars (Princeton, NJ: Princeton Univ. Press)

• [Shu92] Shu, Frank H. 1992, The Physics of Astrophysics, Volume I: Radiation & Volume II: Gas Dynamics (Mill Valey, California: University Science Books)

• [HK94] Hansen, C. J. & Kawaler, S. D. 1994, Stellar Interiors: Physical Principles, Structure, and Evolution (New York: Springer-Verlag)

• [Maeder09] Maeder, André 2009, Physics, Formation and Evolution of Rotating Stars (Berlin: Springer)

• [Choudhuri10] Choudhuri, Arnab Rai 2010, 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] S. Chandrasekhar (1960), J. Mathematical Analysis and Applications, 1, 240: The virial theorem in hydromagnetics
• [Publication II] N. R. Lebovitz (1961), ApJ, 134, 500: The virial tensor and its application to self-gravitating fluids
• [Publication III] S. Chandrasekhar (1961), ApJ, 134, 662: A Theorem on rotating polytropes

• [Publication IV] S. Chandrasekhar & N. R. Lebovitz (1962), ApJ, 135, 238: On super-potentials in the theory of Newtonian gravitation
• [Publication VII] 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] S. Chandrasekhar & N. R. Lebovitz (1962), ApJ, 136, 1037: The potentials and the superpotentials of homogeneous ellipsoids
• [Publication XXXV] S. Chandrasekhar (1968), ApJ, 152, 293: The virial equations of the fourth order

Spheroidal & Ellipsoidal Sequences

• [Publication V] S. Chandrasekhar & N. R. Lebovitz (1962), ApJ, 135, 248: On the oscillations and the stability of rotating gaseous masses
• [Publication IX] S. Chandrasekhar (1962), ApJ, 136, 1048: On the point of bifurcation along the sequence of the Jacobi ellipsoids
• [Publication X] 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] 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] S. Chandrasekhar & N. R. Lebovitz (1963), ApJ, 137, 1142: On the stability of the Jacobi ellipsoids
• [Publication XIV] S. Chandrasekhar & N. R. Lebovitz (1963), ApJ, 137, 1162: On the oscillations of the Maclaurin spheroid belonging to the third harmonics
• [Publication XV] S. Chandrasekhar & N. R. Lebovitz (1963), ApJ, 137, 1172: The equilibrium and the stability of the Jeans spheroids
• [Publication XVI] S. Chandrasekhar (1963), ApJ, 137, 1185: The points of bifurcation along the Maclaurin, the Jacobi, and the Jeans sequences
• [Publication XXIII] Chandrasekhar & N. R. Lebovitz (1964), Astrophysica Norvegica, 9, 323: On the ellipsoidal figures of equilibrium of homogeneous masses
• [Publication XXIV] S. Chandrasekhar (1965), ApJ, 141, 1043: The equilibrium and the stability of the Dedekind ellipsoids
• [Publication XXV] S. Chandrasekhar (1965), ApJ, 142, 890: The equilibrium and the stability of the Riemann ellipsoids. I
• [Publication XXVIII] S. Chandrasekhar (1966), ApJ, 145, 842: The equilibrium and the stability of the Riemann ellipsoids. II
• [Publication XXIX] N. R. Lebovitz (1966), ApJ, 145, 878: On Riemann's criterion for the stability of liquid ellipsoids
• [Publication XXXVII] C. E. Rosenkilde (1967), ApJ, 148, 825: The tensor virial-theorem including viscous stress and the oscillations of a Maclaurin spheroid
• [Publication XXXVIII] L. F. Rossner (1967), ApJ, 149, 145: The finite-amplitude oscillations of the Maclaurin spheroids

Binary Systems

• [Publication XIX] S. Chandrasekhar (1963), ApJ, 138, 1182: The equilibrium and stability of the Roche ellipsoids
• [Publication XX] N. R. Lebovitz (1963), ApJ, 138, 1214: On the principle of the exchange of stabilities. I. The Roche ellipsoids
• [Publication XXI] S. Chandrasekhar (1964), ApJ, 140, 599: The equilibrium and the stability of the Darwin ellipsoids
• [Publication XXXI] S. Chandrasekhar (1969), Publications of the Ramanujan Institute, 1, 213 - 222: The effect of viscous dissipation on the stability of the Roche ellipsoid
• [Publication XXXIX] M. L. Aizenman (1968), ApJ, 153, 511: The equilibrium and the stability of the Roche-Riemann ellipsoids
• [Publication XL] S. Chandrasekhar (1969), ApJ, 157, 1419: The stability of the congruent Darwin ellipsoids

Effects of General Relativity

• [Publication XXVI] 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] 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] S. Chandrasekhar (1967), ApJ, 147, 383: Virial relations for uniformly rotating fluid masses in general relativity
• [Publication XXXII] 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] 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] 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] S. Chandrasekhar & N. R. Lebovitz (1963), ApJ, 138, 185: Non-radial oscillations and the convective instability of gaseous masses
• [Publication XVIII] S. Chandrasekhar & P. H. Roberts (1963), ApJ, 138, 801: The ellipticity of a slowly rotating configuration
• [Publication XXII] 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] S. Chandrasekhar (1967), Communications on Pure and Applied Mathematics, 20, 251: Ellipsoidal figures of equilibrium — an historical account
• [Publication XXXIV] N. R. Lebovitz (1967), Annual Review of Astronomy and Astrophysics, 5, 465: Rotating fluid masses

See Also

• Guide to the Subrahmanyan Chandrasekhar Papers 1913 - 2011 (University of Chicago Library)