Interview with Peter Goldreich
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Supplementary Information For
Supplementary Information for Vertical Angular Momentum Constraint on Lunar Formation and Orbital History ZhenLiang Tian and Jack Wisdom Z. Tian, J. Wisdom E-mail: [email protected], [email protected] This PDF file includes: Supplementary text Figs. S1 to S4 Table S1 References for SI reference citations www.pnas.org/cgi/doi/10.1073/pnas.2003496117 ZhenLiang Tian and Jack Wisdom 1 of 11 Supporting Information Text Model Comparison. Our model, which is the same as in (1), differs from the model of (2) in the following aspects: 1. Probably the most important difference is the tidal model. We use the conventional Darwin-Kaula constant Q model (3). In this model the tidal potential is expanded in a Fourier series and the response to each term is given a phase delay to model dissipation, by analogy to the damped harmonic oscillator. The explicit form builds in considerable constraints from orbital mechanics. There is little observational evidence to constrain the phase delays, but results from the analysis of lunar laser ranging (LLR) data are consistent with the Darwin-Kaula choice to set all the phase delays to be equal (4). Ćuk et al. (2) stated that there is a problem with the constant Q model: that it predicts a decay of orbital eccentricity that, to leading order, is independent of eccentricity. However, this is not true. Using the expressions in (3), one can show that the constant Q model gives a decay of eccentricity that is, to leading order, proportional to eccentricity. Nevertheless, given this misunderstanding of the constant Q model, Ćuk et al. -
The Chaotic Rotation of Hyperion*
ICARUS 58, 137-152 (1984) The Chaotic Rotation of Hyperion* JACK WISDOM AND STANTON J. PEALE Department of Physics, University of California, Santa Barbara, California 93106 AND FRANGOIS MIGNARD Centre d'Etudes et de Recherehes G~odynamique et Astronomique, Avenue Copernic, 06130 Grasse, France Received August 22, 1983; revised November 4, 1983 A plot of spin rate versus orientation when Hyperion is at the pericenter of its orbit (surface of section) reveals a large chaotic zone surrounding the synchronous spin-orbit state of Hyperion, if the satellite is assumed to be rotating about a principal axis which is normal to its orbit plane. This means that Hyperion's rotation in this zone exhibits large, essentially random variations on a short time scale. The chaotic zone is so large that it surrounds the 1/2 and 2 states, and libration in the 3/2 state is not possible. Stability analysis shows that for libration in the synchronous and 1/2 states, the orientation of the spin axis normal to the orbit plane is unstable, whereas rotation in the 2 state is attitude stable. Rotation in the chaotic zone is also attitude unstable. A small deviation of the principal axis from the orbit normal leads to motion through all angles in both the chaotic zone and the attitude unstable libration regions. Measures of the exponential rate of separation of nearby trajectories in phase space (Lyapunov characteristic exponents) for these three-dimensional mo- tions indicate the the tumbling is chaotic and not just a regular motion through large angles. As tidal dissipation drives Hyperion's spin toward a nearly synchronous value, Hyperion necessarily enters the large chaotic zone. -
Hydrodynamic Simulation of Active Galactic Nuclei in Galaxy Cluster
Hydrodynamic Simulation of Active Galactic Nuclei in Galaxy Cluster christoph becker January 2017 Christoph Becker: Hydrodynamic Simulation of Active Galactic Nuclei in Galaxy Clus- ter, Kinetic Feedback Mode, © January 2017 Hydrodynamische Simulation von Aktiven Galaxie Kernen in Galaxienhaufen Hydrodynamic Simulation of Active Galactic Nuclei in Galaxy Cluster Master Arbeit Master Thesis zur Erlangung des Master of Science for the Master of Science degree in natural science an der Fakultät für Physik at the Faculty for Physics der Ludwig-Maximilians-Universität (LMU), München of the Ludwig-Maximilians-University (LMU) of Munich vorgelegt von presented by Christoph Becker aus Berlin, Deutschland from Berlin, Germany München, August 10, 2017 Supervisors: Prof. Dr. Klaus Dolag, (USM, LMU) Prof. Dr. Giuseppe Murante (INAF, Trieste) Prof. Dr. Stefano Borgani (INAF, Trieste) iv ... Also the astronomers surely will not have to continue to exercise the patience which is required for computation... For it is unworthy of excellent men to lose hours like slaves in the labor of calculation which could safely be relegated to anyone else if the machine were used. — Leibnitz 1674 ABSTRACT Active galactic nuclei (AGN) are among the brightest objects in universe and the least understood. They interact with their environment through several en- ergy feedback mechanisms such as radiation, winds, and jets. Even though many details of these feedback processes are still to be worked out, it is certain that they strongly influence the evolutionary history of their host galaxy and galaxy clusters. Furthermore can AGNs hold the answers to open standing questions of observational measurements such as star formation rate quenching in galaxies and the cooling catastrophe of the intra-cluster medium. -
Professor Peter Goldreich Member of the Board of Adjudicators Chairman of the Selection Committee for the Prize in Astronomy
The Shaw Prize The Shaw Prize is an international award to honour individuals who are currently active in their respective fields and who have recently achieved distinguished and significant advances, who have made outstanding contributions in academic and scientific research or applications, or who in other domains have achieved excellence. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity’s spiritual civilization. Preference is to be given to individuals whose significant work was recently achieved and who are currently active in their respective fields. Founder's Biographical Note The Shaw Prize was established under the auspices of Mr Run Run Shaw. Mr Shaw, born in China in 1907, was a native of Ningbo County, Zhejiang Province. He joined his brother’s film company in China in the 1920s. During the 1950s he founded the film company Shaw Brothers (HK) Limited in Hong Kong. He was one of the founding members of Television Broadcasts Limited launched in Hong Kong in 1967. Mr Shaw also founded two charities, The Shaw Foundation Hong Kong and The Sir Run Run Shaw Charitable Trust, both dedicated to the promotion of education, scientific and technological research, medical and welfare services, and culture and the arts. ~ 1 ~ Message from the Chief Executive I warmly congratulate the six Shaw Laureates of 2014. Established in 2002 under the auspices of Mr Run Run Shaw, the Shaw Prize is a highly prestigious recognition of the role that scientists play in shaping the development of a modern world. Since the first award in 2004, 54 leading international scientists have been honoured for their ground-breaking discoveries which have expanded the frontiers of human knowledge and made significant contributions to humankind. -
277 — 18 January 2016 Editor: Bo Reipurth ([email protected]) List of Contents
THE STAR FORMATION NEWSLETTER An electronic publication dedicated to early stellar/planetary evolution and molecular clouds No. 277 — 18 January 2016 Editor: Bo Reipurth ([email protected]) List of Contents The Star Formation Newsletter Interview ...................................... 3 Abstracts of Newly Accepted Papers ........... 5 Editor: Bo Reipurth [email protected] Abstracts of Newly Accepted Major Reviews . 30 Technical Editor: Eli Bressert Dissertation Abstracts ........................ 31 [email protected] New Jobs ..................................... 32 Technical Assistant: Hsi-Wei Yen Meetings ..................................... 33 [email protected] Summary of Upcoming Meetings ............. 36 Editorial Board Joao Alves Alan Boss Jerome Bouvier Cover Picture Lee Hartmann Thomas Henning The Rosette Nebula is a large HII region in Mono- Paul Ho ceros at a distance of about 1.6 - 1.7 kpc. It is Jes Jorgensen illuminated by the OB cluster NGC 2244, which Charles J. Lada contains seven O-stars, dominated by the O4V star Thijs Kouwenhoven HD 46223. The northwestern edge of the HII region Michael R. Meyer contains a large complex of globules and elephant Ralph Pudritz trunks. Luis Felipe Rodr´ıguez Ewine van Dishoeck Image courtesy Don Goldman http://astrodonimaging.com Hans Zinnecker ( ). The Star Formation Newsletter is a vehicle for fast distribution of information of interest for as- tronomers working on star and planet formation and molecular clouds. You can submit material for the following sections: Abstracts of recently Submitting your abstracts accepted papers (only for papers sent to refereed journals), Abstracts of recently accepted major re- Latex macros for submitting abstracts views (not standard conference contributions), Dis- and dissertation abstracts (by e-mail to sertation Abstracts (presenting abstracts of new [email protected]) are appended to Ph.D dissertations), Meetings (announcing meet- each Call for Abstracts. -
Turbulence, Entropy and Dynamics
TURBULENCE, ENTROPY AND DYNAMICS Lecture Notes, UPC 2014 Jose M. Redondo Contents 1 Turbulence 1 1.1 Features ................................................ 2 1.2 Examples of turbulence ........................................ 3 1.3 Heat and momentum transfer ..................................... 4 1.4 Kolmogorov’s theory of 1941 ..................................... 4 1.5 See also ................................................ 6 1.6 References and notes ......................................... 6 1.7 Further reading ............................................ 7 1.7.1 General ............................................ 7 1.7.2 Original scientific research papers and classic monographs .................. 7 1.8 External links ............................................. 7 2 Turbulence modeling 8 2.1 Closure problem ............................................ 8 2.2 Eddy viscosity ............................................. 8 2.3 Prandtl’s mixing-length concept .................................... 8 2.4 Smagorinsky model for the sub-grid scale eddy viscosity ....................... 8 2.5 Spalart–Allmaras, k–ε and k–ω models ................................ 9 2.6 Common models ........................................... 9 2.7 References ............................................... 9 2.7.1 Notes ............................................. 9 2.7.2 Other ............................................. 9 3 Reynolds stress equation model 10 3.1 Production term ............................................ 10 3.2 Pressure-strain interactions -
COMPUTER EXPERIMENTS on the STRUCTURE and DYNAMICS of SPIRAL GALAXIES by Frank Hob1 Langley Research Center Hamptopz, Va
.: I. NASA TECHNICAL NOTE B LOAN COPY: RETURN k COMPUTER EXPERIMENTS ON THE STRUCTURE AND DYNAMICS OF SPIRAL GALAXIES by Frank Hob1 Langley Research Center Hamptopz, Va. 23365 TECH LIBRARY KAFB. NM 1. Report No. 2. Government Accession No. 3. Recipient's Catalog No. NASA TN D-6630 5. Report Date March 1972 6. Performing Organization Code 7. Author(s) 8. Performing Organization Report No. Frank Hohl L-8109 10. Work Unit No. 9. Performing Organization Name and Address 112-02-22-01 NASA Langley Research Center 11. Contract or Grant No. Hampton, Va. 23365 13. Type of Report and Period Covered 2. Sponsoring Agency Name and Address Technical Note National ,Aeronautics and Space Administration 14. Sponsoring Agency Code Washington, D.C. 20546 5. Supplementary Notes 6. Abstract The evolution of an initially balanced rotating disk of stars with an initial velocity dis- persion given by Toomre's local criterion is investigated by means of a computer model for isolated disks of stars. It is found that the disk is unstable against very large-scale modes. After about two rotations the central portion of the disk tends to assume a bar-shaped struc- ture. A stable axisymmetric disk with a velocity dispersion much larger than that given by Toomre's criterion is generated. The final mass distribution for the disk gives a high-density central core and a disk population of stars that is closely approximated by an exponential variation. Various methods and rates of cooling the hot axisymmetric disks were investigated. It was found that the cooling resulted in the development of two-arm spiral structures which per- sisted as long as the cooling continued. -
Long-Term Evolution of Orbits About a Precessing Oblate Planet: 1. The
Published in: “Celestial Mechanics and Dynamical Astronomy” (2005) 91 : 75 108 − Long-term evolution of orbits about a precessing∗ oblate planet: 1. The case of uniform precession. Michael Efroimsky US Naval Observatory, Washington DC 20392 USA e-mail: me @ usno.navy.mil August 2, 2018 Abstract It was believed until very recently that a near-equatorial satellite would always keep up with the planet’s equator (with oscillations in inclination, but without a secular drift). As explained in Efroimsky and Goldreich (2004), this misconception originated from a wrong interpretation of a (mathematically correct) result obtained in terms of non-osculating orbital elements. A similar analysis carried out in the language of osculating elements will endow the planetary equations with some extra terms caused arXiv:astro-ph/0408168v4 22 May 2010 by the planet’s obliquity change. Some of these terms will be nontrivial, in that they will not be amendments to the disturbing function. Due to the extra terms, the variations of a planet’s obliquity may cause a secular drift of its satellite orbit inclination. In this article we set out the analytical formalism for our study of this drift. We demonstrate that, in the case of uniform precession, the drift will be extremely slow, because the first-order terms responsible for the drift will be short-period and, thus, will have vanishing orbital averages (as anticipated 40 years ago by Peter Goldreich), while the secular terms will be of the second order only. However, it turns out that variations of the planetary precession make the first-order terms secular. -
Order-Of-Magnitude Physics: Understanding the World with Dimensional Analysis, Educated Guesswork, and White Lies Peter Goldreic
Order-of-Magnitude Physics: Understanding the World with Dimensional Analysis, Educated Guesswork, and White Lies Peter Goldreich, California Institute of Technology Sanjoy Mahajan, University of Cambridge Sterl Phinney, California Institute of Technology Draft of 1 August 1999 c 1999 Send comments to [email protected] ii Contents 1 Wetting Your Feet 1 1.1 Warmup problems 1 1.2 Scaling analyses 13 1.3 What you have learned 21 2 Dimensional Analysis 23 2.1 Newton’s law 23 2.2 Pendula 27 2.3 Drag in fluids 31 2.4 What you have learned 41 3 Materials I 43 3.1 Sizes 43 3.2 Energies 51 3.3 Elastic properties 53 3.4 Application to white dwarfs 58 3.5 What you have learned 62 4 Materials II 63 4.1 Thermal expansion 63 4.2 Phase changes 65 4.3 Specific heat 73 4.4 Thermal diffusivity of liquids and solids 77 4.5 Diffusivity and viscosity of gases 79 4.6 Thermal conductivity 80 4.7 What you have learned 83 5 Waves 85 5.1 Dispersion relations 85 5.2 Deep water 88 5.3 Shallow water 106 5.4 Combining deep- and shallow-water gravity waves 108 5.5 Combining deep- and shallow-water ripples 108 5.6 Combining all the analyses 109 5.7 What we did 109 Bibliography 110 1 1 Wetting Your Feet Most technical education emphasizes exact answers. If you are a physicist, you solve for the energy levels of the hydrogen atom to six decimal places. If you are a chemist, you measure reaction rates and concentrations to two or three decimal places. -
Arxiv:1111.3682V1 [Astro-Ph.EP] 15 Nov 2011 Ant Planets, As Well As Their Dynamical Architecture (I.E
Draft version November 17, 2011 Preprint typeset using LATEX style emulateapj v. 11/10/09 INSTABILITY-DRIVEN DYNAMICAL EVOLUTION MODEL OF A PRIMORDIALLY 5 PLANET OUTER SOLAR SYSTEM Konstantin Batygin1, Michael E. Brown1 & Hayden Betts2 1Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125 and 2Polytechnic School, Pasadena, CA 91106 Draft version November 17, 2011 ABSTRACT Over the last decade, evidence has mounted that the solar system's observed state can be favorably reproduced in the context of an instability-driven dynamical evolution model, such as the \Nice" model. To date, all successful realizations of instability models have concentrated on evolving the four giant planets onto their current orbits from a more compact configuration. Simultaneously, the possibility of forming and ejecting additional planets has been discussed, but never successfully implemented. Here we show that a large array of 5-planet (2 gas giants + 3 ice giants) multi-resonant initial states can lead to an adequate formation of the outer solar system, featuring an ejection of an ice giant during a phase of instability. Particularly, our simulations demonstrate that the eigenmodes which characterize the outer solar system's secular dynamics can be closely matched with a 5-planet model. Furthermore, provided that the ejection timescale of the extra planet is short, orbital excitation of a primordial cold classical Kuiper belt can also be avoided in this scenario. Thus the solar system is one of many possible outcomes of dynamical relaxation and can originate from a wide variety of initial states. This deems the construction of a unique model of solar system's early dynamical evolution impossible. -
Early Evolution of the Earth-Moon System with a Fast-Spinning
Icarus 256 (2015) 138–146 Contents lists available at ScienceDirect Icarus journal homepage: www.elsevier.com/locate/icarus Early evolution of the Earth–Moon system with a fast-spinning Earth Jack Wisdom ⇑, ZhenLiang Tian Massachusett Institute of Technology, Cambridge, MA 02139, USA article info abstract Article history: The isotopic similarity of the Earth and Moon has motivated a recent investigation of the formation of the Received 14 October 2014 Moon with a fast-spinning Earth (Cuk, M., Stewart, S.T., [2012]. Science, doi:10.1126/science.1225542). Revised 21 February 2015 Angular momentum was found to be drained from the system through a resonance between the Moon Accepted 22 February 2015 and Sun. They found a narrow range of parameters that gave results consistent with the current angular Available online 7 March 2015 momentum of the Earth–Moon system. However, a tidal model was used that was described as approx- imating a constant Q tidal model, but it was not a constant Q model. Here we use a conventional constant Keywords: Q tidal model to explore the process. We find that there is still a narrow range of parameters in which Earth angular momentum is withdrawn from the system that corresponds roughly to the range found earlier, Moon Dynamics but the final angular momentum is too low to be consistent with the Earth–Moon system. Exploring a broader range of parameters we find a new phenomenon, not found in the earlier work, that extracts angular momentum from the Earth–Moon system over a broader range of parameters. The final angular momentum is more consistent with the actual angular momentum of the Earth–Moon system. -
Formation of Massive Stars and Black Holes in Self-Gravitating AGN Discs
Mon. Not. R. Astron. Soc. 000, 000–000 (0000) Printed 1 November 2018 (MN LATEX style file v1.4) Formation of massive stars and black holes in self-gravitating AGN discs, and gravitational waves in LISA band. Yuri Levin1,2 (1)601 Campbell Hall, University of California, Berkeley, California, 94720 (2) Canadian Institute for Theoretical Astrophysics, University of Toronto, 60 St. George Street, Toronto, ON M5S 3H8, Canada printed 1 November 2018 ABSTRACT We propose a scenario in which massive stars form at the outer edges of an AGN accretion disc. We analyze the dynamics of a disc forming around a supermassive black hole, in which the angular momentum is transported by turbulence induced by the disc’s self-gravity. We find that once the surface density of the disc exceeds a critical value, the disc fragments into dense clumps. We argue that the clumps accrete material from the remaining disc and merge into larger clumps; the upper mass of a merged clump is a few tens to a few hundreds of solar mass. The biggest clumps collapse and form massive stars, which produce few-tens-solar-mass black holes at the end of their evolution. We construct a model of the AGN disc which includes extra heat sources from the embedded black holes. If the embedded black holes can accrete at the Bondi rate, then the feedback from accretion onto the embedded black holes may stabilize the AGN disc against the Toomre instability for an interesting range of the model parameters. By contrast, if the rate of accretion onto the embedded holes is below the Eddington limit, then the extra heating is insufficient to stabilize the disc.