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Concordia Chicago - AST - 305
Astro 305: Problem Set 1Due Friday October 51AGN jetsSuppose that there is emission from a beam of relativistic particles from an active galactic nuclei at a cosmological redshift z with a Lorentz factor and a velocity v pointed at an angle
Concordia Chicago - AST - 305
Astro 305: Problem Set 4Due October 261Coordinate Dependence of Stokes ParametersIn polarized radiative transfer it is often necessary to rotate into and out of preferred frames. Here you will derive the rotational properties of the Stokes par
Nevada - APEC - 100
New York TimesFebruary 14, 2007U.S. Agency Violated Law in Seed Case, Judge RulesBy ANDREW POLLACK A federal judge ruled yesterday that the Agriculture Department violated the law by failing to adequately assess possible environmental impacts be
Concordia Chicago - AST - 305
Astro 305: Problem Set 8Due November 301Synchrotron BreakDescribe how the magnetic field B can be estimated from measurements of the specific intensity I if a break in the spectrum due to self absorption is clearly measured and the power law f
Concordia Chicago - AST - 305
Set 3: Thermal PhysicsEquilibrium Thermal physics describes the equilibrium distribution of particles for a medium at temperature T Expect that the typical energy of a particle by equipartition is E kT , so that f (E/kT, ?) in equilibrium Must
Concordia Chicago - AST - 305
Set 4: Thermal Equilibrium ApplicationsSaha Equation What is the equilibrium ionization state of a gas at a given temperature? Hydrogen example: e + p H + Define ntot = np + nH and an ionization fraction xe np /ntot x2 np ne e = nH ntot 1 - x
Concordia Chicago - AST - 305
Set 6: RelativityThe Metric The metric defines a measure on a space, distance between points, length of vectors. 3D Cartesian coordinates: separation vector between 2 points dxi (upper or contravariant indices)3ds2 =i=1dxi dxi Generalize
Concordia Chicago - AST - 305
Set 8: Compton ScatteringEnergy-Momentum Conservation Thomson scattering ei + i ef + f where the frequencies i = f (elastic scattering) cannot strictly be true Photons carry off E/c momentum and so to conserve momentum the electron must recoil.
Concordia Chicago - AST - 305
Set 9: BremsstrahlungCoulomb Field. Bremsstrahlung can be viewed as Thomson scattering of an electron with the virtual photons in the Coulomb field of the ion For relativistic electrons, Coulomb field is essentially Lorentz contracted and also
Concordia Chicago - AST - 305
Set 10: SynchrotronLorentz Force Acceleration of electrons due to the magnetic field gives rise to synchrotron radiation Lorentz force 0 Ex Ey Ez E 0 Bz -By e dP x F = = F U , Ey -Bz d c 0 Bx Ez By -Bx 0 c 0 Ex Ey Ez c
Nevada - APEC - 100
Economist.comCities and the environmentWill salmon sink Seattle?Mar 26th 1998 | SEATTLE From The Economist print editionLOGGERS in Washington state have long borne the brunt of environmental rulings from the other Washington. In order to keep
Concordia Chicago - AST - 448
189APPENDIX B. USEFUL QUANTITIES AND RELATIONS190Appendix B1s 1 yr 1 Mpc 1 AU 1K 1M 1 GeVUseful Quantities and RelationsB.1 FRW ParametersThe expansion rate is given by the Hubble parameter H2 = 1 da 2 a a0 2 = a dt a a a0 4 aeq + a 2 0
Concordia Chicago - AST - 321
Astro 321: Problem Set 2Due April 141Problem 1: Acceleration from Modifiied Gravity Explore the possibility that the acceleration of the expansion is due to a modification of gravity instead of dark energy. Consider that the Hubble parameter H(
Concordia Chicago - AST - 321
Astro 321: Inflation 3 Final Project Exact EquationsWrite a code to solve the exact equations of motion in the background and linear pertubation theory. For the background (k, ) = 0 () + 1 (k, ) a 0 + 2 0 + a2 V = 0 , (1) a and for the perturbatio
Concordia Chicago - AST - 321
Astro 321: CMB Final Helper Problem Set 2 Spline Interpolation Go to http:/www.nr.com, download chapter 3.3 and read the section on spline interpolation. Familiarize yourself with the use of their "spline" and "splint" routines. Take the (a) outpu
Nevada - APEC - 100
Economist.comWhalingA bloody warDec 30th 2003 From The Economist print editionBrandon ColeObduracy in the face of hypocrisy MANY quarrels divide nations, but few do so with the ferocity that characterises the war between those who want to hu
Concordia Chicago - AST - 321
Astro 321: Halo Model 2 Growth FunctionThe linear growth rate equation is given by d2 G d ln a2 + + 5 3 dG - w(a)DE (a) 2 2 d ln a 3 [1 - w(a)]DE (a)G = 0 , 2 (1)in a flat universe. Here DE (a) = DE (a)/crit (a) and w(a) = pDE (a)/DE (a). Write a
Concordia Chicago - AST - 321
Astro 321 Lecture Notes Set 4Wayne HuHorizon Problem The horizon in a decelerating universe scales as a(1+3w)/2 , w > -1/3. For example in a matter dominated universe a1/2 CMB decoupled at a = 10-3 so subtends an angle on the sky = a1/2 0.
Concordia Chicago - AST - 448
Astro 448: Problem Set 3Due October 241Problem 1: Green's Method (a) From the continuity and Euler equations of the joint photon-baryon system (see notes) show + R + k 2 c2 = F () s 1+R R k2 - 1+R 3 (1) (2) F () = - - (b) Take the so
Concordia Chicago - AST - 448
189APPENDIX B. USEFUL QUANTITIES AND RELATIONS190Reference1s 1 yr 1 Mpc 1 AU 1K 1M 1 GeVUseful Quantities and RelationsB.1 FRW ParametersThe expansion rate is given by the Hubble parameter H2 = 1 da 2 a a0 2 = a dt a a a0 4 aeq + a a0 2
Concordia Chicago - AST - 448
Astro 448 Lecture Notes Set 4Wayne HuScalar Fields Stress-energy tensor of a scalar field T =1 - ( 2+ 2V ) . For the background 0 1 -2 2 = a 0 + V 2 1 -2 2 p = a 0 + -V 2 So for kinetic dominated w = p / 1 And potential
Nevada - APEC - 100
Economist.comWater hazardMar 19th 1998 From The Economist print editionClean up-or risk many deathsRIVERS in rich countries have become steadily cleaner over the past couple of decades. Rivers in the poorest developing countries, by contrast,
University of Hawaii - Hilo - ICS - 312
LAB ASSIGNMENT 03: DUE 2/25/2000-Link Library Demo ProgramWhat is your name? Mario A. RuizPlease enter a 16-bit integer: 10A1010Press any key.
Concordia Chicago - AST - 321
Cosmology Final Project: Computing CMB Flucuations Jennifer Chen, March 15, 20021The Code: CMBcrapThis code takes the initial conditions for a given k mode and evolves them using the continuity and Euler equations. In the spirit of naming CMB c
Nevada - APEC - 100
Economist.comThe environment and energyGas warfareJan 29th 2004 | CHOTEAU, MONTANA From The Economist print editionThe next big environment row could be in the Rocky Mountains AEONS ago, the colliding plates of the earth buckled in the area no
University of Hawaii - Hilo - ICS - 312
Title Link Library Demo Program (lnkdemo.asm); This program calls various I/O procedures; in the link library..model small.stack 100hWhiteOnBlue = 1FhGreetingLoc = 0400h.datagreeting db "Link Library Demo Program" db 0dh,0ah,0dh,0ah
Nevada - APEC - 100
Economist.comStumped by treesMar 19th 1998 From The Economist print editionEven for poor countries, destroying forests rarely makes economic sense PARAGOMINAS, a sweltering, mosquito-ridden town in the north of Brazil, is the stuff of an environ
Nevada - APEC - 100
February 11, 2007In Niger, Trees and Crops Turn Back the DesertBy LYDIA POLGREEN GUIDAN BAKOYE, Niger - In this dustchoked region, long seen as an increasingly barren wasteland decaying into desert, millions of trees are flourishing, thanks in pa
Nevada - APEC - 100
Economist.comWild-life conservationLandscape or animals first?Jun 26th 1997 | BIG HORN, WYOMING From The Economist print editionNOT long after ensuring, in 1973, that America's endangered species would be protected, Congress had to acknowledge
Nevada - APEC - 100
February 18, 2007Tires Meant to Foster Sea Life Choke It InsteadAnastasia Walsh/Sun Sentinel, via Associated Press An artificial reef created in 1972 off the coast of South Florida has turned into a costly cleanup project.FORT LAUDERDALE, Fla.,
Nevada - APEC - 100
Reno agrees to help provide 6,700 acre-feet of water rights for Truckee River operating planSTAFF REPORT (online@rgj.com) February 15, 2007 The historic Truckee River Operating Agreement is one step closer to reality after Reno agreed Wednesday to h