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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
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 (p. 844):|
"We thank ."
The Potential of an Anchor Ring
Phil. Trans. Royal Soc. London. A., Vol. 184, pp. 43 - 95
IV. On the figure and stability of a liquid satellite
Philosophical Transactions of the Royal Society A, Vol. 206, pp. 161 - 248
Book titled: Gaskugeln
Leipzig und Berlin, Druck und Verlag von B. G. Teubner
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
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."
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 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 equation which (though searching for it) I had entirely overlooked."
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 , which was valuable in the computations of ."
Models of Radial Oscillation
Monthly Notices of the Royal Astronomical Society, Vol. 97, pp. 582 - 593
Radial Pulsations of Stars
The Astrophysical Journal, Vol. 94, pp. 124 - 135
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."
Stellar Models with Isothermal Cores
The Astrophysical Journal, Vol. 94, pp. 525 - 536
The Non-radial Oscillations of Polytropic Stars
Monthly Notices of the Royal Astronomical Society, Vol. 101, pp. 367 - 375
On the Evolution of the Main-Sequence Stars
The Astrophysical Journal, Vol. 96, pp. 161 - 172
On the Dynamical Stability of Stars
The Astrophysical Journal, Vol. 140, pp. 333 - 346
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
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."
The Isothermal Function
The Astrophysical Journal, Vol. 109, pp. 551 - 554
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."
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."
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."
Problems of Gravitational Stability in the Presence of a Magnetic Field
The Astrophysical Journal, Vol. 118, pp. 116 - 141
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."
Boyle's Law and gravitational instability
Monthly Notices of the Royal Astronomical Society
Vol. 116, pp. 351 - 359
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."
Handbuch der Physik, Vol. 51, pp. 353 - 604
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."
Radial Pulsations of the Polytrope
Monthly Notices of the Royal Astronomical Society, Vol. 122, pp. 409 - 411
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."
On the Gravitational Collapse of a Cold Rotating Gas Cloud
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 58, Issue 4, pp. 709 - 711
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."
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."
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."
Problems of Star Formation — I
Quarterly Journal of the Royal Astronomical Society, Vol. 6, pp. 161 - 198
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.
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)."
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."
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."
Adiabatic Oscillations of Stars
Proceedings of the Astronomical Society of Australia, Vol. 1, Issue 7, pp. 325 - 326
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."
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.)
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."
Polytropic Sheets, Cylinders and Spheres with Negative Index
Astronomy & Astrophysics, Vol. 33, pp. 195 - 202
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."
The Virial Theorem in Stellar Astrophysics
© Pachart Publishing House
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."
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."
Global Gravitational Stability for One-Dimensional Polytropes
Monthly Notices of the Royal Astronomical Society, Vol. 195, pp. 967 - 977
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."
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."
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."
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
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."
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]."
Seven-Digit Tables of Lane-Emden Functions
Astrophysics and Space Science, Vol. 126, Issue 2, pp. 357 - 408
The Schoenberg-Chandrasekhar Limit — a Polytropic Approximation
Astrophysics and Space Science, Vol. 147, issue 2, pp. 219 - 227
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."
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."
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."
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."
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.)."
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."
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."
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."
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."
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."
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."
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)."
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."
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."
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."
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), 6th 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 (19th 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:
- [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
- [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
- [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
- Guide to the Subrahmanyan Chandrasekhar Papers 1913 - 2011 (University of Chicago Library)