The Last 40 Years of Accretion Disk Theory...(abridged)
|
|
|
- Randolf Ambrose Wilcox
- 5 years ago
- Views:
Transcription
1 The Last 40 Yeas of Accetion Disk Theoy...(abidged) Matin Pessah Niels Boh Intenational Academy DARK Cosmology Cente - Niels Boh Institute - Januay 13, 2011 Image Cedit: NASA
2 Why Ae Accetion Disks Impotant? Cucial fo undestanding - How stas and planets fom - What powes the bightest X-ay souces in the sky - Why Active Galactic Nuclei (Quasas) shine - How to use flow dynamics to map black hole space-time Poto-sta X-ay Binay Active Galactic Nucleus Release of gavitational enegy in accetion disks esponsible fo some of the most poweful phenomena in natue!
3 Why Ae Accetion Disk so Had to Undestand? R Gavity balanced by pessue gadient along R Enegy flows along R too! Mass Momentum Enegy R Magnetic fields do not seem to influence stella stuctue significantly Mostly themal enegy Magnetic fields ae essential fo accetion disks to wok Non-themal pocesses
4 Kepleian Disks 101 Ω(R) Matte Ω 2 = GM R 3 Ω R 3/2 R
5 Impotance of Angula Momentum Tanspot l(r) Angula Momentum l R 1/2 l = v R =(ΩR)R = ΩR 2 R Gas in the disk must lose angula momentum!!!!
6 Impotance of Stess... ρ t l t +.(ρv) =0 +.(lv) = 0 Angula Mass consevation momentum is not conseved... l t +.(lv) = 1 (2 T ) If thee is no stess, angula momentum fo fluid elements in the disk is conseved and matte does not accete!
7 Solving the Angula Momentum Poblem. I Poblem I: Tanspot of Angula Momentum!!!
8 Solving the Angula Momentum Poblem. I Solution I: Assume some kind of tubulent viscosity Eddies of sie H inteacting with tunove velocity α c s t tub t obs!!! Shakua & Sunyaev 70s, α-model With this enhanced stess we can match the fast timescales obseved!
9 The Standad Accetion Disk Model Since the ealy 70 s we have used this viscosity pesciption to emove angula momentum fom the disk... Angula momentum Matte We can calculate the global stuctue of the disk Σ(),P(),T(),v (),...
10 Solving the Angula Momentum Poblem. II Poblem II: Oigin of Tubulence? - Kepleian flows ae vey STABLE to hydodynamic petubations (Hawley et al. 1999, Yi et al. 2006) - Convection? (Stone & Balbus 1996, Lesu & Ogilvie 2010) Solution II: s * Velikhov & Chandasekha ealy 60 s Balbus & Hawley in ealy 90 s B * Mechanism to disupt lamina flows * Numeical simulations confim development of MHD tubulence
11 A Piece of Physics
12 Acoustic Waves Alfven Waves P B Restoing foce: pessue gadients Restoing foce: magnetic tension δp δb k k
13 MHD Waves B
14 MHD Waves Magnetic Tension B δb
15 MHD Waves B δb
16 MHD Waves B δb
17 MHD Waves B δb
18 MHD Waves B δb
19 MHD Waves B δb
20 MHD Waves B δb
21 MHD Waves B δb
22 MHD Waves B δb
23 MHD Waves B δb
24 MHD Waves B δb
25 MHD Waves B δb
26 MHD Waves k B δb
27 MHD Waves k B δb ω 2 = k 2 v A 2 v A 2 = B2 4πρ
28 Magnetootational Instability B Diffeential otation To the black hole
29 Magnetootational Instability B δb Diffeential otation
30 Magnetootational Instability Diffeential otation
31 Magnetootational Instability Diffeential otation
32 Magnetootational Instability Diffeential otation
33 Magnetootational Instability Diffeential otation
34 Magnetootational Instability Diffeential otation
35 Magnetootational Instability Diffeential otation
36 Magnetootational Instability Magnetic Toques + Diffeential otation B δb Magnetootational Instability B δb
37 Magnetootational Instability Magnetic Toques + Diffeential otation B δb Magnetootational Instability k 2 2 v A < 2Ω 2 dlnω d ln B δb v A 2 = B2 4πρ
38 Tubulent Magnetied Accetion Disks: MRI Diffeentially otating magnetied plasmas ae unstable to the Magnetootational Instability (MRI) (Velikhov & Chandasekha, 60 s; Balbus & Hawley, 90 s) Fom J. Hawley s website Fom J. Stone s website How do we measue stesses and angula momentum tanspot fom simulations?
![Angula Momentum Tanspot: MRI & Tubulence Angula momentum consevation l t + (lv) = 1 [2 (R M )] Reynolds](/docs-images/89/100113246/images/39-0.jpg "Stess Maxwell Stess MRI and MHD tubulence lead to coelated fluctuations of the PROPER sign!!! Sano et al.")
39 Angula Momentum Tanspot: MRI & Tubulence Angula momentum consevation l t + (lv) = 1 [2 (R M )] Reynolds Stess Maxwell Stess MRI and MHD tubulence lead to coelated fluctuations of the PROPER sign!!! Sano et al. 2004
40 Impotance & Limitations of Numeical Simulations Hubble Time 1Gy 1y Inside Hoion Mean Field Models BH Vaiability Disk Spectum BH Gowth Viscous Satuation Obital Boad Line Region 10 7 M o 1sec Numeical Simulations 0.1AU 1AU 1000AU
41 MHD Tubulent Tanspot vs. alpha-viscosity Shakua & Sunyaev ( 70s): tanspot due to tubulence Pessah, Chan, & Psaltis, 2006 Pessah, Chan, & Psaltis, 2008 Shakua & Sunyaev, 1973 Standad pesciption does not captue physics coectly! Need to undestand tubulent MHD angula momentum tanspot fom fist pinciples...
42 Satuation of MRI & MHD Tubulence -Maxwell Non-linea Reynolds Satuation MRI gowth Insets fom Sano et al. 2004
43 Compaison with Numeical Simulations Encouaging ageement with oveall featues of numeical simulations See woks by Knobloch & Julien, Umuhan et. al, Vishniac, Latte et. al, Longaetti & Lesu,...
44 Cuent Focus and Futue Pospects CK Chan & Pessah 2011 Whee ae we going? Bette mico-physics. Themodynamics. Synegy between analytical and numeical wok Davis, Stone, & Pessah 2010 Moe ealistic global simulations Beckwith et al, 2008
45 Recap: The Big Pictue Fundamental Poblem in Accetion Disks: How to get id of angula momentum Since ealy 70 s we have dealt with this poblem by using a pesciption poposed by Shakua & Sunyaev (1973) Balbus & Hawley (1991): magnetic fields ae key! Diffeentially otating, magnetied plasmas ae unstable to MRI Ensuing tubulence emoves angula momentum fom disk! Fom J. Hawley s website Massive analytical and numeical effots to undestand MHD tubulence and simulate accetion disks Fom J. Stone s website
Takuya Ohtani (Osaka University Theoretical Astrophysics Group D2) Collaborator: Toru Tsuribe(Osaka Univ.)
Simultaneous Gowth of a Potosta and a Young Cicumstella Disk in the Ealy Phase of Disk Fomation * Takuya Ohtani (Osaka Univesity Theoetical Astophysics Goup D2) Collaboato: Tou Tsuibe(Osaka Univ.) 1 Abstact
PROBLEM SET #3A. A = Ω 2r 2 2 Ω 1r 2 1 r2 2 r2 1
PROBLEM SET #3A AST242 Figue 1. Two concentic co-axial cylindes each otating at a diffeent angula otation ate. A viscous fluid lies between the two cylindes. 1. Couette Flow A viscous fluid lies in the
General momentum equation
PY4A4 Senio Sophiste Physics of the Intestella and Integalactic Medium Lectue 11: Collapsing Clouds D Gaham M. Hape School of Physics, TCD Geneal momentum equation Du u P Dt uu t 1 B 4 B 1 B 8 Lagangian
Lecture 24 Stability of Molecular Clouds
Lectue 4 Stability of Molecula Clouds 1. Stability of Cloud Coes. Collapse and Fagmentation of Clouds 3. Applying the iial Theoem Refeences Oigins of Stas & Planetay Systems eds. Lada & Kylafis http://cfa-www.havad.edu/cete
A solution of the cusp problem in virialized DM halos in standard cosmology
DSU6, Univesidad Autonoma de Madid, June A solution of the cusp poblem in viialized DM halos in standad cosmology A.G.Dooshkevich, V.N.Lukash, E.V.Mikheeva Asto Space Cente of Lebedev Physics Institute
When a mass moves because of a force, we can define several types of problem.
Mechanics Lectue 4 3D Foces, gadient opeato, momentum 3D Foces When a mass moves because of a foce, we can define seveal types of poblem. ) When we know the foce F as a function of time t, F=F(t). ) When
But for simplicity, we ll define significant as the time it takes a star to lose all memory of its original trajectory, i.e.,
Stella elaxation Time [Chandasekha 1960, Pinciples of Stella Dynamics, Chap II] [Ostike & Davidson 1968, Ap.J., 151, 679] Do stas eve collide? Ae inteactions between stas (as opposed to the geneal system
Determining solar characteristics using planetary data
Detemining sola chaacteistics using planetay data Intoduction The Sun is a G-type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this investigation
Central Force Problem. Central Force Motion. Two Body Problem: Center of Mass Coordinates. Reduction of Two Body Problem 8.01 W14D1. + m 2. m 2.
Cental oce Poblem ind the motion of two bodies inteacting via a cental foce. Cental oce Motion 8.01 W14D1 Examples: Gavitational foce (Keple poblem): 1 1, ( ) G mm Linea estoing foce: ( ) k 1, Two Body
Central Force Motion
Cental Foce Motion Cental Foce Poblem Find the motion of two bodies inteacting via a cental foce. Examples: Gavitational foce (Keple poblem): m1m F 1, ( ) =! G ˆ Linea estoing foce: F 1, ( ) =! k ˆ Two
Teachers notes. Beyond the Thrills excursions. Worksheets in this book. Completing the worksheets
Beyond the Thills excusions Teaches notes Physics is the science of how the wold (and Univese) woks. Luna Pak Sydney is a lage hands-on physics laboatoy full of fee falling objects, otating systems and
HW #5 Hints. Today. HW #5 Hints. HW #5 Hints. Announcements:
Today HW #5 Hints Announcements: HW and Exta cedit #3 due 2/25 HW hints + Recap the 2nd law of themodynamics Electic and Magnetic Foces and thei unification the Foce Field concept -1-1) The speed at D
A New Approach to General Relativity
Apeion, Vol. 14, No. 3, July 7 7 A New Appoach to Geneal Relativity Ali Rıza Şahin Gaziosmanpaşa, Istanbul Tukey E-mail: aizasahin@gmail.com Hee we pesent a new point of view fo geneal elativity and/o
Why do globular clusters have more than one main sequence? Ref: Gratton et al. 2012, A&ARv, 20, 50
Why do globula clustes have moe than one main sequence? Ref: Gatton et al. 2012, A&ARv, 20, 50 1 st, a petty pictue Outline The lives of stas Some basic physics Impotance of clustes Globula clustes ae
Diffusion and Transport. 10. Friction and the Langevin Equation. Langevin Equation. f d. f ext. f () t f () t. Then Newton s second law is ma f f f t.
Diffusion and Tanspot 10. Fiction and the Langevin Equation Now let s elate the phenomena of ownian motion and diffusion to the concept of fiction, i.e., the esistance to movement that the paticle in the
CBE Transport Phenomena I Final Exam. December 19, 2013
CBE 30355 Tanspot Phenomena I Final Exam Decembe 9, 203 Closed Books and Notes Poblem. (20 points) Scaling analysis of bounday laye flows. A popula method fo measuing instantaneous wall shea stesses in
Pendulum in Orbit. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ (December 1, 2017)
1 Poblem Pendulum in Obit Kik T. McDonald Joseph Heny Laboatoies, Pinceton Univesity, Pinceton, NJ 08544 (Decembe 1, 2017) Discuss the fequency of small oscillations of a simple pendulum in obit, say,
Today in Astronomy 142: the Milky Way s disk
Today in Astonomy 14: the Milky Way s disk Moe on stas as a gas: stella elaxation time, equilibium Diffeential otation of the stas in the disk The local standad of est Rotation cuves and the distibution
Topic 7: Electrodynamics of spinning particles Revised Draft
Lectue Seies: The Spin of the Matte, Physics 4250, Fall 2010 1 Topic 7: Electodynamics of spinning paticles Revised Daft D. Bill Pezzaglia CSUEB Physics Updated Nov 28, 2010 Index: Rough Daft 2 A. Classical
Accretion Disks: An Overview
Accetion Disks: An Oveview Autho: Simon Konbeg Supeviso: Jügen Fuchs FYGB08 - Analytisk Mekanik Institutionen fö Ingenjösvetenskap och Fysik Abstact: This epot is intended as an oveview and intoduction
Magnetic Fluctuation-Induced Particle Transport. and Zonal Flow Generation in MST
Magnetic Fluctuation-Induced Paticle Tanspot and Zonal Flow Geneation in MST D.L. Bowe Weixing Ding, B.H. Deng Univesity of Califonia, Los Angeles, USA D. Caig, G. Fiksel, V. Minov, S.C. Page, J. Saff
Physics 312 Introduction to Astrophysics Lecture 7
Physics 312 Intoduction to Astophysics Lectue 7 James Buckley buckley@wuphys.wustl.edu Lectue 7 Eath/Moon System Tidal Foces Tides M= mass of moon o sun F 1 = GMm 2 F 2 = GMm ( + ) 2 Diffeence in gavitational
Paths of planet Mars in sky
Section 4 Gavity and the Sola System The oldest common-sense view is that the eath is stationay (and flat?) and the stas, sun and planets evolve aound it. This GEOCENTRIC MODEL was poposed explicitly by
MODULE 5 ADVANCED MECHANICS GRAVITATIONAL FIELD: MOTION OF PLANETS AND SATELLITES VISUAL PHYSICS ONLINE
VISUAL PHYSICS ONLIN MODUL 5 ADVANCD MCHANICS GRAVITATIONAL FILD: MOTION OF PLANTS AND SATLLITS SATLLITS: Obital motion of object of mass m about a massive object of mass M (m
Lecture 3. Basic Physics of Astrophysics - Force and Energy. Forces
Lectue 3 Basic Physics of Astophysics - Foce and Enegy http://apod.nasa.gov/apod/ Foces Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken to be constant) An unbalanced foce
F(r) = r f (r) 4.8. Central forces The most interesting problems in classical mechanics are about central forces.
4.8. Cental foces The most inteesting poblems in classical mechanics ae about cental foces. Definition of a cental foce: (i) the diection of the foce F() is paallel o antipaallel to ; in othe wods, fo
Lecture 3. Basic Physics of Astrophysics - Force and Energy. Forces
Foces Lectue 3 Basic Physics of Astophysics - Foce and Enegy http://apod.nasa.gov/apod/ Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken to be constant) An unbalanced foce
Physics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
A thermodynamic degree of freedom solution to the galaxy cluster problem of MOND. Abstract
A themodynamic degee of feedom solution to the galaxy cluste poblem of MOND E.P.J. de Haas (Paul) Nijmegen, The Nethelands (Dated: Octobe 23, 2015) Abstact In this pape I discus the degee of feedom paamete
Astronomy 111, Fall October 2011
Astonomy 111, Fall 011 4 Octobe 011 Today in Astonomy 111: moe details on enegy tanspot and the tempeatues of the planets Moe about albedo and emissivity Moe about the tempeatue of sunlit, adiation-cooled
Progress of HMGC Nonlinear Simulation
Pogess of HMGC Nonlinea Simulation Andeas Biewage [andeas@biewage.de] ENEA - Fascati Italy GSEP Wokshop 29 This wok is suppoted by SciDAC GSEP. Andeas Biewage (ENEA - Fascati) Pogess of HMGC Nonlinea Simulation
Universal Gravitation
Chapte 1 Univesal Gavitation Pactice Poblem Solutions Student Textbook page 580 1. Conceptualize the Poblem - The law of univesal gavitation applies to this poblem. The gavitational foce, F g, between
II. Electric Field. II. Electric Field. A. Faraday Lines of Force. B. Electric Field. C. Gauss Law. 1. Sir Isaac Newton ( ) A.
II. Electic Field D. Bill Pezzaglia II. Electic Field. Faaday Lines of Foce B. Electic Field C. Gauss Law Updated 08Feb010. Lines of Foce 1) ction at a Distance ) Faaday s Lines of Foce ) Pinciple of Locality
Gravitation. Chapter 12. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun
Chapte 12 Gavitation PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Modified by P. Lam 5_31_2012 Goals fo Chapte 12 To study Newton s Law
Section 11. Timescales Radiation transport in stars
Section 11 Timescales 11.1 Radiation tanspot in stas Deep inside stas the adiation eld is vey close to black body. Fo a black-body distibution the photon numbe density at tempeatue T is given by n = 2
Spherical Solutions due to the Exterior Geometry of a Charged Weyl Black Hole
Spheical Solutions due to the Exteio Geomety of a Chaged Weyl Black Hole Fain Payandeh 1, Mohsen Fathi Novembe 7, 018 axiv:10.415v [g-qc] 10 Oct 01 1 Depatment of Physics, Payame Noo Univesity, PO BOX
Global structure of self-excited magnetic fields arising from the magnetic shear instability
Mon. Not. R. Aston. Soc. 317, 45±54 (2000) Global stuctue of self-excited magnetic fields aising fom the magnetic shea instability A. Decke, 1 G. RuÈdige 1w and R. Hollebach 2 1 Astophysikalisches Institut
Structure of the magnetopause boundary layers discovered by Cluster multipoint observations
Stuctue of the magnetopause bounday layes discoveed by Cluste multipoint obsevations Hioshi Hasegawa Tokyo Institute of Technology B. U. Ö. Sonneup (Datmouth Coll.), M. Fujimoto, C. Hashimoto, T. K. M.
Experiment 09: Angular momentum
Expeiment 09: Angula momentum Goals Investigate consevation of angula momentum and kinetic enegy in otational collisions. Measue and calculate moments of inetia. Measue and calculate non-consevative wok
Chapter 13: Gravitation
v m m F G Chapte 13: Gavitation The foce that makes an apple fall is the same foce that holds moon in obit. Newton s law of gavitation: Evey paticle attacts any othe paticle with a gavitation foce given
= 4 3 π( m) 3 (5480 kg m 3 ) = kg.
CHAPTER 11 THE GRAVITATIONAL FIELD Newton s Law of Gavitation m 1 m A foce of attaction occus between two masses given by Newton s Law of Gavitation Inetial mass and gavitational mass Gavitational potential
1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s
1. A stone falls fom a platfom 18 m high. When will it hit the gound? (a) 1.74 s (b) 1.83 s (c) 1.9 s (d).01 s Constant acceleation D = v 0 t + ½ a t. Which, if any, of these foces causes the otation of
From Gravitational Collapse to Black Holes
Fom Gavitational Collapse to Black Holes T. Nguyen PHY 391 Independent Study Tem Pape Pof. S.G. Rajeev Univesity of Rocheste Decembe 0, 018 1 Intoduction The pupose of this independent study is to familiaize
Escape Velocity. GMm ] B
![Escape Velocity. GMm ] B](/thumbs/84/90630003.jpg "Escape Velocity. GMm ] B")
1 PHY2048 Mach 31, 2006 Escape Velocity Newton s law of gavity: F G = Gm 1m 2 2, whee G = 667 10 11 N m 2 /kg 2 2 3 10 10 N m 2 /kg 2 is Newton s Gavitational Constant Useful facts: R E = 6 10 6 m M E
NUMERICAL SIMULATION OF FLUID FLOW IN ENCLOSED ROTATING FILTER AND DISK
VOL., NO. 9, SEPTEMBER 010 ISSN 1819-6608 ARPN Jounal of Engineeing and Applied Sciences 006-010 Asian Reseach Publishing Netwok (ARPN). All ights eseved. www.apnjounals.com NUMERICAL SIMULATION OF FLUID
PROBLEM SET 5. SOLUTIONS March 16, 2004
Havad-MIT ivision of Health Sciences and Technology HST.54J: Quantitative Physiology: Ogan Tanspot Systems Instuctos: Roge Mak and Jose Venegas MASSACHUSETTS INSTITUTE OF TECHNOLOGY epatments of Electical
Fluid flow in curved geometries: Mathematical Modeling and Applications
Fluid flow in cuved geometies: Mathematical Modeling and Applications D. Muhammad Sajid Theoetical Plasma Physics Division PINSTECH, P.O. Niloe, PAEC, Islamabad Mach 01-06, 010 Islamabad, Paistan Pesentation
1 Similarity Analysis
ME43A/538A/538B Axisymmetic Tubulent Jet 9 Novembe 28 Similaity Analysis. Intoduction Conside the sketch of an axisymmetic, tubulent jet in Figue. Assume that measuements of the downsteam aveage axial
B. Spherical Wave Propagation
11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We
is the instantaneous position vector of any grid point or fluid
Absolute inetial, elative inetial and non-inetial coodinates fo a moving but non-defoming contol volume Tao Xing, Pablo Caica, and Fed Sten bjective Deive and coelate the govening equations of motion in
Geometry and statistics in turbulence
Geomety and statistics in tubulence Auoe Naso, Univesity of Twente, Misha Chetkov, Los Alamos, Bois Shaiman, Santa Babaa, Alain Pumi, Nice. Tubulent fluctuations obey a complex dynamics, involving subtle
Chapter 13 Gravitation
Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 10-: MOTION IN A GRAVITATIONAL FIELD Questions Fom Reading Activity? Gavity Waves? Essential Idea: Simila appoaches can be taken in analyzing electical
? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B.
PHY 249 Lectue Notes Chapte 32: Page 1 of 12 What we have leaned so fa a a F q a a in motion F q v a a d/ Ae thee othe "static" chages that can make -field? this lectue d/? next lectue da dl Cuve Cuve
HW Solutions # MIT - Prof. Please study example 12.5 "from the earth to the moon". 2GmA v esc
HW Solutions # 11-8.01 MIT - Pof. Kowalski Univesal Gavity. 1) 12.23 Escaping Fom Asteoid Please study example 12.5 "fom the eath to the moon". a) The escape velocity deived in the example (fom enegy consevation)
GRAVITATION. Einstein Classes, Unit No. 102, 103, Vardhman Ring Road Plaza, Vikas Puri Extn., New Delhi -18 PG 1
Einstein Classes, Unit No. 0, 0, Vahman Ring Roa Plaza, Vikas Pui Extn., New Delhi -8 Ph. : 96905, 857, E-mail einsteinclasses00@gmail.com, PG GRAVITATION Einstein Classes, Unit No. 0, 0, Vahman Ring Roa
Magnetohydrodynamics (MHD) I
Magnetohydodynamics (MHD) I Yong-Su Na National Fusion Reseach Cente POSTECH, Koea, 8-10 May, 006 Contents 1. Review Confinement & Single Paticle Motion. Plasmas as Fluids Fluid Equations 3. MHD Equations
Magnetic phase transition and confinement regimes
Magnetic phase tansition and confinement egimes Emilia R. Solano 1,2, Richad D. Hazeltine 3 1 Laboatoio Nacional de Fusión, CIEMAT, Madid, Spain 2 JET EFDA CSU 3 Institute fo Fusion Studies, Univ. of Texas
High Brightness Electron Beams Introduction to the physics of high-quality electron beams
High Bightness Electon Beams Intoduction to the physics of high-quality electon beams Mikhail Kasilnikov Photo Injecto Test facility, Zeuthen (PITZ) The plan fo this moning Mikhail Kasilnikov, PITZ physics
Lecture 21 Helioseismology
ASTR 7500: Sola & Stella Magnetism Hale CGEP Sola & Space Physics Pofs. Bad Hindman & Jui Toome Lectue 1 Tues 9 Ap 013 zeus.coloado.edu/ast7500-toome Lectue 1 Helioseismology Obsevations of Sola Oscillations
Basic oces an Keple s Laws 1. Two ientical sphees of gol ae in contact with each othe. The gavitational foce of attaction between them is Diectly popotional to the squae of thei aius ) Diectly popotional
The Magnetorotational Instability
The Magnetorotational Instability Nick Murphy Harvard-Smithsonian Center for Astrophysics Astronomy 253: Plasma Astrophysics March 10, 2014 These slides are based off of Balbus & Hawley (1991), Hawley
Doublet structure of Alkali spectra:
Doublet stuctue of : Caeful examination of the specta of alkali metals shows that each membe of some of the seies ae closed doublets. Fo example, sodium yellow line, coesponding to 3p 3s tansition, is
10. Universal Gravitation
10. Univesal Gavitation Hee it is folks, the end of the echanics section of the couse! This is an appopiate place to complete the study of mechanics, because with his Law of Univesal Gavitation, Newton
Lecture 22. PE = GMm r TE = GMm 2a. T 2 = 4π 2 GM. Main points of today s lecture: Gravitational potential energy: Total energy of orbit:
Lectue Main points of today s lectue: Gavitational potential enegy: Total enegy of obit: PE = GMm TE = GMm a Keple s laws and the elation between the obital peiod and obital adius. T = 4π GM a3 Midtem
Mechanics Physics 151
Mechanics Physics 151 Lectue 5 Cental Foce Poblem (Chapte 3) What We Did Last Time Intoduced Hamilton s Pinciple Action integal is stationay fo the actual path Deived Lagange s Equations Used calculus
From Newton to Einstein. Mid-Term Test, 12a.m. Thur. 13 th Nov Duration: 50 minutes. There are 20 marks in Section A and 30 in Section B.
Fom Newton to Einstein Mid-Tem Test, a.m. Thu. 3 th Nov. 008 Duation: 50 minutes. Thee ae 0 maks in Section A and 30 in Section B. Use g = 0 ms in numeical calculations. You ma use the following epessions
Physics 161 Fall 2011 Extra Credit 2 Investigating Black Holes - Solutions The Following is Worth 50 Points!!!
Physics 161 Fall 011 Exta Cedit Investigating Black Holes - olutions The Following is Woth 50 Points!!! This exta cedit assignment will investigate vaious popeties of black holes that we didn t have time
2018 Physics. Advanced Higher. Finalised Marking Instructions
National Qualifications 018 018 Physics Advanced Highe Finalised Making Instuctions Scottish Qualifications Authoity 018 The infomation in this publication may be epoduced to suppot SQA qualifications
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 9
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Depatment Physics 8.033 Novembe 17, 2006 Poblem Set 9 Due: Decembe 8, at 4:00PM. Please deposit the poblem set in the appopiate 8.033 bin, labeled with name
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 6- THE LAW OF GRAVITATION Essential Idea: The Newtonian idea of gavitational foce acting between two spheical bodies and the laws of mechanics
Exam 3: Equation Summary
MAACHUETT INTITUTE OF TECHNOLOGY Depatment of Physics Physics 8. TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t = Exam 3: Equation ummay = Impulse: I F( t ) = p Toque: τ =,P dp F P τ =,P
Version 1.0. General Certificate of Education (A-level) June Mathematics MM04. (Specification 6360) Mechanics 4. Final.
Vesion 1.0 Geneal Cetificate of Education (A-level) June 011 Mathematics MM04 (Specification 660) Mechanics 4 Final Mak Scheme Mak schemes ae pepaed by the Pincipal Examine and consideed, togethe with
, and the curve BC is symmetrical. Find also the horizontal force in x-direction on one side of the body. h C
Umeå Univesitet, Fysik 1 Vitaly Bychkov Pov i teknisk fysik, Fluid Dynamics (Stömningsläa), 2013-05-31, kl 9.00-15.00 jälpmedel: Students may use any book including the textbook Lectues on Fluid Dynamics.
EM Boundary Value Problems
EM Bounday Value Poblems 10/ 9 11/ By Ilekta chistidi & Lee, Seung-Hyun A. Geneal Desciption : Maxwell Equations & Loentz Foce We want to find the equations of motion of chaged paticles. The way to do
1 kev Plasma. Theoretical model of a collisionally ionized plasma kt=1 kev with solar abundances The lines are 'narrow' Notice dynamic range of 10 5
1 kev Plasma Theoetical model of a collisionally ionized plasma kt=1 kev with sola abundances The lines ae 'naow' Notice dynamic ange of 10 5 Obsevational data fo a collisionally ionized plasma kt=1 kev
1) Consider an object of a parabolic shape with rotational symmetry z
Umeå Univesitet, Fysik 1 Vitaly Bychkov Pov i teknisk fysik, Fluid Mechanics (Stömningsläa), 01-06-01, kl 9.00-15.00 jälpmedel: Students may use any book including the tetbook Lectues on Fluid Dynamics.
Gravitational Dynamics: Part II. Size and Density of a BH. Adiabatic Compression due to growing BH. Boundary of Star Cluster
Lec: Gowth of a Black Hole y captuing ojects in Loss Cone Gavitational Dynamics: Pat II Non-Equiliium systems AS40, Pat II A small BH on oit with peicente p
arxiv: v1 [astro-ph.sr] 30 Aug 2018
![arxiv: v1 [astro-ph.sr] 30 Aug 2018](/thumbs/84/91019807.jpg "arxiv: v1 [astro-ph.sr] 30 Aug 2018")
Daft vesion August 31, 2018 Pepint typeset using L A TEX style emulateapj v. 11/10/09 STRUCTURE FORMATION IN A YOUNG PROTOPLANETARY DISK BY A MAGNETIC DISK WIND Sanemichi Z. Takahashi 1,2,Takayuki Muto
AST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1
Please ead this fist... AST S: The oigin and evolution of the Univese Intoduction to Mathematical Handout This is an unusually long hand-out and one which uses in places mathematics that you may not be
Classical Mechanics Homework set 7, due Nov 8th: Solutions
Classical Mechanics Homewok set 7, due Nov 8th: Solutions 1. Do deivation 8.. It has been asked what effect does a total deivative as a function of q i, t have on the Hamiltonian. Thus, lets us begin with
Physics: Work & Energy Beyond Earth Guided Inquiry
Physics: Wok & Enegy Beyond Eath Guided Inquiy Elliptical Obits Keple s Fist Law states that all planets move in an elliptical path aound the Sun. This concept can be extended to celestial bodies beyond
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented
Introduction to Nuclear Forces
Intoduction to Nuclea Foces One of the main poblems of nuclea physics is to find out the natue of nuclea foces. Nuclea foces diffe fom all othe known types of foces. They cannot be of electical oigin since
Magnetic Fluctuation Induced Particle Transport and Parallel Ion Velocity Fluctuations on MST. Weixing Ding, D.L. Brower, T.Yates
Magnetic Fluctuation Induced Paticle Tanspot and Paallel Ion Velocity Fluctuations on MST Weixing Ding, D.L. owe, T.Yates Univesity of Califonia, Los Angeles G. Fiksel, D. Den Hatog, S.C. Page, J.S. Saff
Appendix B The Relativistic Transformation of Forces
Appendix B The Relativistic Tansfomation of oces B. The ou-foce We intoduced the idea of foces in Chapte 3 whee we saw that the change in the fou-momentum pe unit time is given by the expession d d w x
15 ρ R Total angular momentum of the Jupiter-Sun System. momentum plus the spin momenta of Jupiter and the Sun.
4-40 I I I I ρ x + y Ž d V I I I ρ x + y Ž ddω I I ρ sin θ Ž d sinθ Ž d θ π I I ρ 4 cos θ Ž d cos θ Ž d 8 π 3 I ρ 4 d 5 MR 8 π 5 ρ R 5 47 Total angula momentum of the Jupite-Sun System The total angula
INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS. Abstract
INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS Mohammad Mohammadi, National Cente fo Physical Acoustics, Univesity of Mississippi, MS Caig J. Hicey, National Cente fo Physical Acoustics,
AY 7A - Fall 2010 Section Worksheet 2 - Solutions Energy and Kepler s Law
AY 7A - Fall 00 Section Woksheet - Solutions Enegy and Keple s Law. Escape Velocity (a) A planet is obiting aound a sta. What is the total obital enegy of the planet? (i.e. Total Enegy = Potential Enegy
Physics 221 Lecture 41 Nonlinear Absorption and Refraction
Physics 221 Lectue 41 Nonlinea Absoption and Refaction Refeences Meye-Aendt, pp. 97-98. Boyd, Nonlinea Optics, 1.4 Yaiv, Optical Waves in Cystals, p. 22 (Table of cystal symmeties) 1. Intoductoy Remaks.
Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism
Physics 2020, Sping 2005 Lab 5 page 1 of 8 Lab 5. Magnetism PART I: INTRODUCTION TO MAGNETS This week we will begin wok with magnets and the foces that they poduce. By now you ae an expet on setting up
OSCILLATIONS AND GRAVITATION
1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,
astro-ph/ May 1995
Mon. Not. R. Aston. Soc., { () Pinted 4 May 995 Satellites in Discs: Regulating the Accetion Luminosity D. Sye Canadian Institute fo Theoetical Astophysics, MacLennan Labs, 6 St. Geoge Steet, Toonto M5S
Solving Problems of Advance of Mercury s Perihelion and Deflection of. Photon Around the Sun with New Newton s Formula of Gravity
Solving Poblems of Advance of Mecuy s Peihelion and Deflection of Photon Aound the Sun with New Newton s Fomula of Gavity Fu Yuhua (CNOOC Reseach Institute, E-mail:fuyh945@sina.com) Abstact: Accoding to
Lau Chi Hin The Chinese University of Hong Kong
Lau Chi Hin The Chinese Univesit of Hong Kong Can Antson each the othe end? 1cms 1 Can I each the othe end? Rubbe band 1m 1ms 1 Can Antson each the othe end? Gottfied Wilhelm Leibniz (1646-1716) Isaac
Lecture 3. Basic Physics of Astrophysics - Force and Energy. Forces.
Tue Wed Thu Thu Lectue 3 Basic Physics of Astophysics - Foce and Enegy ISB 165 Wed 5 Thu 4 http://apod.nasa.gov/apod/ Foces Momentum is the poduct of mass and velocity - a vecto p = mv (geneally m is taken
In the previous section we considered problems where the
5.4 Hydodynamically Fully Developed and Themally Developing Lamina Flow In the pevious section we consideed poblems whee the velocity and tempeatue pofile wee fully developed, so that the heat tansfe coefficient
Spiral Magnetic Gradient Motor Using Axial Magnets
Spial Magnetic Gadient Moto Using Axial Magnets Cedit: Tom Schum fo spial stato constuction Thomas Valone, PhD, PE Integity Reseach Institute Pape on Science Diect, Physics Gadients Ae Used fo All Powe
Rotational Motion: Statics and Dynamics
Physics 07 Lectue 17 Goals: Lectue 17 Chapte 1 Define cente of mass Analyze olling motion Intoduce and analyze toque Undestand the equilibium dynamics of an extended object in esponse to foces Employ consevation
History of Astronomy - Part II. Tycho Brahe - An Observer. Johannes Kepler - A Theorist
Histoy of Astonomy - Pat II Afte the Copenican Revolution, astonomes stived fo moe obsevations to help bette explain the univese aound them Duing this time (600-750) many majo advances in science and astonomy