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lec09_15oct2010

Course: GEL 133, Fall 2010
School: Caltech
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studies SED of disk lifetimes & Long wavelength studies of disks Ge/Ay133 Characterizinglargedisksamples?SEDModels: HH30 G.J. van Zadelhoff 2002 Chiang & Goldreich 1997 IR disk surface within several 0.1 several tens of AU (sub)mm disk surface at large radii, disk interior. Details next! UseSEDsurveys toprobedisk evolutionw/time, accretionrate,etc. Findveryfewobjects withmoderateIR...

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studies SED of disk lifetimes & Long wavelength studies of disks Ge/Ay133 Characterizinglargedisksamples?SEDModels: HH30 G.J. van Zadelhoff 2002 Chiang & Goldreich 1997 IR disk surface within several 0.1 several tens of AU (sub)mm disk surface at large radii, disk interior. Details next! UseSEDsurveys toprobedisk evolutionw/time, accretionrate,etc. Findveryfewobjects withmoderateIR excesses,mostdisk systemsareoptically thickoutto24m. Disk Fraction Correlations cTTs wTTs For wTTs sample projected on clouds, disk fraction increases with H Equivalent Width (EW), declines with age. Cieza et al. 2006 Disk Timescales Big RED circle: has disk Some wTTs do have disks, not seen before w/IRAS. But, only the young ones (age < 3 to 6 MYr) The ages are uncertain due to models, but ~half the young wTTs lack disks (even at 0.8 to 1.5 Myr). Thus, time is NOT the only variable. How might disks evolve? Padgett et al., 2006; Cieza et al., 2006 Thatis,aretheremultiplepathsfromoptically thicktoopticallythindisks? Disk Class II Class II Star Class II Class III Mappingevolutionarypaths? Evolutionary sequence: cTTs wTTs Debris isthe slopeof theIR excess, towhere thestar anddisk contribute equallyto theSED. Statistically,howlongdodustgrainsindiskssurvive? Basicresult: Disksdissipate withinafew Myr,butwith alargedisp. foranySINGLE system.When theygo,however, thedissipation isFASTin comparisonw/ disklifetime. Gas??? Withmodernmmdetectors,cansensebeyondSEDknee: Canthislongwavelengthphotometryhelpusunderstanddisk evolutionanddissipation?(Imageslater) Diskmodelingof(sub)mmwavefluxmeasurements: Measure, must know distance. derive Assume UNLESS the disk is spatially resolved. ro Rd T (r ) (r ) optically thin, near peak of blackbody: optically thin, R-J limit 0 Fortypicalassumptions,what doyoufind? Currentstudiesareflux limitedat~10mJy: SubmmContinuumImagingTWHya The SMA continuum measurements agree well with the predictions of the physically self-consistent irradiated accretion model disk for TW Hya (Calvet et al. 2002) The radial brightness distribution of the disk observed at 345 GHz is also consistent with the Calvet model. So,weCANmeasuremanydiskparameters,butonlyforahandfulofsourcesfor now.Usetheseresultstoguidecontinuumsurveys: OnlysubstantialcorrelationiswithoverallSEDand/or accretionrateindicators,otherwiseLARGEscatter! Otherfactoids: Submmfluxhighly correlatedwith thepresenceor absenceofIR excess.Almostno disksw/weakIR butstrongsubmm. Verylittledependence ofMAXIMUMdisk massonage(thatis, somefairlyOLDstars have>MMSNdisks). Otherfactoids: Submmfluxhighly correlatedwith thepresenceor absenceofIR excess.Almostno disksw/weakIR butstrongsubmm. Verylittledependence ofMAXIMUMdisk massonage(thatis, somefairlyOLDstars have>MMSNdisks). Gas? CO/Good Dynamical, T Tracer T M( )B K Dent et al. 2005, JCMT vLSR (km/s) The CO line shape is Sensitive to: Rdisk ,Mstar, Inc. These can be measured w/resolved images: M. Simon et al. 2001, PdBI With multiple CO lines CO 3-2 M.R. Hogerheijde code TW Hya w/SMA Qi et al. 2004, ApJ 616, L7. T gradients: 13 CO 2-1/TW Hya Data Model (Rout 110 AU) Model (Rout 172 AU) Onlysensitivetodisksurfacelayers,hardtogetmass. CO 2-1 CO 3-2 Temperature Contour Tau=1 Surfaces CO 3-2 CO 2-1 Blue: Canonical Model (Calvet et al. 2002, Qi et al. 2004 ) Black: SMA data Also,veryfew transitional disksarefound (thatis,disksw/ innerholes): Statisticsare~a fewofmany hundredsof youngstars. Calvet et al. 2005, ApJ, 630, L185 Atleastsomedisks evolvefromthe insideout.Does thisapplymore generally,orcan disksdissipatein avarietyofways? Calvet et al. 2005, ApJ, 630, L185 Are there other examples? The case of LkH 330. 1 COv=10EmissionfromTransitionalDisks? For dust sublimation alone, the lines from T Tauri disks should be broader than those from Herbig Ae stars+disks. Often observed, but The TW Hya lines are extremely narrow, with i~7 R0.37 AU. Similar for SR 9, DoAr 44, GM Aur. Rhot(KI) < R(CO) < Rdust(SED)
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Caltech - GEL - 133
SED studies of disk lifetimes &amp; Long wavelength studies of disksGe/Ay133Characterizinglargedisksamples?SEDModels:HH30G.J. van Zadelhoff 2002Chiang &amp; Goldreich 1997IR disk surface within several 0.1 several tens of AU (sub)mm disk surface at large ra
Caltech - GEL - 133
Disk Structure and Evolution(the so-called model of disk viscosity)Ge/Ay 133Recapitulationofpassivediskstructureequations.I.Equation for hydrostatic equilibrium using only stellar gravity.For an ideal gaswhere c is the sound speed (c2 = RT).Solving
Caltech - GEL - 133
Disk Structure and Evolution(the so-called model of disk viscosity)Ge/Ay 133Recapitulationofpassivediskstructureequations.I.Equation for hydrostatic equilibrium using only stellar gravity.For an ideal gaswhere c is the sound speed (c2 = RT).Solving
Caltech - GEL - 133
How do small dust grains growin protoplanetary disks?Ge/Ay133Howdowegofromawellmixedgas/dustgraindisk:Toamatureplanetarysystem?Forsolids,itishelpfultodistinguishamongstseveralregimes:mcmkmmoon/Mars(oligarchs)110MEarthStep#1:Growthfrom~0.1mto~1cmsca
Caltech - GEL - 133
How do small dust grains grow in protoplanetary disks?Ge/Ay133Howdowegofromawellmixedgas/dustgraindisk:Toamatureplanetarysystem?Forsolids,itishelpfultodistinguishamongstseveralregimes: mcmkmmoon/Mars(oligarchs)110MEarthStep#1:Growthfrom~0.1 mto~1cmsc
Caltech - GEL - 133
How do small dust grains growin protoplanetary disks?Ge/Ay133Howdowegofromawellmixedgas/dustgraindisk:Toamatureplanetarysystem?Forsolids,itishelpfultodistinguishamongstseveralregimes:mcmkmmoon/Mars(oligarchs)110MEarthStep#1:Growthfrom~0.1mto~1cmsca
Caltech - GEL - 133
How do planetesimals grow toform ~terrestrial mass cores?Ge/Ay133Fornow,letsignorethegas.Thismeanswecanjustworryaboutgravity.Forthepairwiseinteractionoftwobodies,wehave:r=a1br=a2Forcollisionsthataregrazing,thevelocityatimpactcanbeshowntobePluggi
Caltech - GEL - 133
How do planetesimals grow to form ~terrestrial mass cores?Ge/Ay133Fornow,letsignorethegas.Thismeanswecanjustworryaboutgravity.Forthe pairwiseinteractionoftwobodies,wehave: r=a1 br=a2 Forcollisionsthataregrazing,the velocityatimpactcanbeshowntobe Pluggi
Caltech - GEL - 133
How do planetesimals grow toform ~terrestrial mass cores?Ge/Ay133Fornow,letsignorethegas.Thismeanswecanjustworryaboutgravity.Forthepairwiseinteractionoftwobodies,wehave:r=a1br=a2Forcollisionsthataregrazing,thevelocityatimpactcanbeshowntobePluggi
Caltech - GEL - 133
Jovian planet formation. Core-accretion or gravitational instability?Ge/Ay133PropertiesoftheJovianPlanetsintheSolarSystemP 2 forH2HeI/MR2=0.4forauniformsphere I/MR2=0.26forP 2Theradiusmass relationshipandM.o.I. areusedtoinferthe presenceofprimordial
Caltech - GEL - 133
Jovian planet formation. Core-accretionor gravitational instability?Ge/Ay133PropertiesoftheJovianPlanetsintheSolarSystemP2forH2HeI/MR2=0.4forauniformsphereI/MR2=0.26forP2TheradiusmassrelationshipandM.o.I.areusedtoinferthepresenceofprimordialco
Caltech - GEL - 133
Jovian planet formation. Core-accretionor gravitational instability?Ge/Ay133PropertiesoftheJovianPlanetsintheSolarSystemP2forH2HeI/MR2=0.4forauniformsphereI/MR2=0.26forP2TheradiusmassrelationshipandM.o.I.areusedtoinferthepresenceofprimordialco
Caltech - GEL - 133
What effects do 1-10 MEarth cores &amp; Jovian planets have on the surrounding disk? Or, Migration &amp; GapsGe/Ay133Disks can be unstable globally:Toomres criterion Q c/( G) &lt; 1 ( axisymmetric perturbations) = epicyclic frequencyDisks can be unstable globall
Caltech - GEL - 133
What effects do 1-10 MEarth coreshave on the surrounding disk?Today = GapsWednesday = Migration (included here)Ge/Ay133Disks can be unstable globally:Toomres criterionQ c/(G) &lt; 1( axisymmetric perturbations) = epicyclic frequencyDisks can be uns
Caltech - GEL - 133
What effects do 1-10 MEarth coreshave on the surrounding disk?Today = GapsWednesday = Migration (included here)Ge/Ay133Disks can be unstable globally:Toomres criterionQ c/(G) &lt; 1( axisymmetric perturbations) = epicyclic frequencyDisks can be uns
Caltech - GEL - 133
What can the Kuiper belt tell usabout the early solar system?Part I (Part II next lecture)Ge/Ay133Kuipers Hypothesis (1950) Pluto should not be alone!1999 KR 16First (non-Pluto)trans-Neptunianobject found in1992 (Jewitt &amp;Luu), now manymany hund
Caltech - GEL - 133
Can we study extrasolar Kuiper Belts? Pic, A5V starGe/Ay133AU Mic, M1Ve starImpossible to see any exo-KBOs themselves, butHow do we find debris disks?Spitzer Data (FEPS team)Model has 0.1 Mmoon of30 m size dust grainsin a disk from 3060 AUBars a
Caltech - GEL - 133
Can we study extrasolar Kuiper Belts? Pic, A5V starGe/Ay133AU Mic, M1Ve starImpossible to see any exo-KBOs themselves, butHow do we find debris disks?Spitzer Data (FEPS team)Model has 0.1 Mmoon of30 m size dust grainsin a disk from 3060 AUBars a
Caltech - GEL - 133
Can we study extrasolar Kuiper/Asteroid Belts? Pic, A5V starAU Mic, M1Ve starGe/Ay133Impossible to see any exo-KBOs themselves, butNear Earth dust source?How do we find debris disks?Spitzer Data (FEPS team) Model has 0.1 Mmoon of 30 m size dust gra
Caltech - GEL - 133
What can the asteroid belt tell us about the early S.S.?433 Eros? PhobosGe/Ay133These types are not strongly separated, radially.Comets are icy bodies that sublimate and becomeactive when close to the Sun. They are believed tooriginate in two cold
Caltech - GEL - 133
In what sort of region did our own solar system form?Ge/Ay133Inrelativeisolation(Taurus,Bokglobules,)?In what sort of environment did our own solar system form?Oraspartofarichcluster(morelikely)?Oneimportantsetofclues: Shortlivednuclidesinmeteorites
Caltech - GEL - 133
When and how did the cores of terrestrial planets form?Ge/Ay133Two end member hypotheses for core formation:Estimated core sizesof the terrestrial planets.Two end member hypotheses for core formation:Q: Why is heterogeneousaccretion unlikely?A: In
Caltech - GEL - 133
When and how did the cores of terrestrial planets form?Ge/Ay133Two end member hypotheses for core formation:Estimated core sizesof the terrestrial planets.Two end member hypotheses for core formation:Q: Why is heterogeneousaccretion unlikely?A: In
Caltech - GEL - 133
Planetary DynamicsGe/Ay133Orbital elements (3-D),&amp; time evolution:What ARE Lyapounov exponents and times?Regular Chaotic Suppose that twoorbits are separated inphase space by d, andthat d followsd = d0 e- (t-t0)G is the Lyapounovexponent, and
Caltech - GEL - 133
Planetary DynamicsGe/Ay133Orbital elements (3-D),&amp; time evolution:What ARE Lyapounov exponents and times?Regular Chaotic Suppose that twoorbits are separated inphase space by d, andthat d followsd = d0 e- (t-t0)G is the Lyapounovexponent, and
Caltech - GEL - 133
January 4, 2009APreprint typeset using L TEX style emulateapj v. 03/07/07MODELS OF JUPITERS GROWTH INCORPORATING THERMAL AND HYDRODYNAMIC CONSTRAINTSJack J. Lissauer, Olenka Hubickyj1 , Gennaro DAngelo2NASA Ames Research Center, Space Science and Ast
Caltech - GEL - 133
Formation of Jupiter and Conditions for Accretion of the GalileanSatellitesarXiv:0809.1418v3 [astro-ph] 16 Jan 2009P. R. Estrada, and I. MosqueiraSETI InstituteJ. J. Lissauer, G. DAngelo, and D. P. CruikshankNASA Ames Research CenterAbstractWe pre
Caltech - GEL - 133
Caltech - GEL - 133
arXiv:0811.0441v1 [astro-ph] 4 Nov 2008Introduction to Gravitational MicrolensingShude MaoJodrell Bank Centre for Astrophysics, University of Manchester, Manchester M13 9PL, UKE-mail: shude.mao@manchester.ac.ukThe basic concepts of gravitational micr
Caltech - GEL - 133
Problem Set #1Ge/Ay 133Due Thursday, 6 October 20111. Consider a planet of mass Mp that orbits a star of mass M at orbital distance a, or,more precisely, the star and the planet go around their common center of mass. For astar some R parsecs distant,
Caltech - GEL - 133
Due October 13th , 2011Ge/Ay133 Problem Set #21Angular Momenta(a) Verify eq. (1.1) (page 3) in Armitage, and use it to estimate the total angular momentum of the spinningsun, and how much angular momentum the sun would have if it were spinning on the
Caltech - GEL - 133
Ge 133 - Problem Set # 3, due Oct. 27thA) The goal of this problem is to understand Spectral Energy Distributions (SEDs), the spectra emitted bya star plus a disk. Using some simple assumptions, youll generate your own model SED. For this problem,assum
Caltech - GEL - 133
Problem set 4Ge/Ay 133Due 03 November 20111Gaps and migration(a) Large planets open gaps in disks and then become tied to the evolution of the disk. Thus,if the disk is evolving on the viscous timescale, the planet will also migrate on the viscoust
Caltech - GEL - 133
Problem set 5Ge/Ay 133Due November 10More MMSNScattering of planetesimals in the outer solar system caused the orbits of Saturn,Uranus, and Neptune to expand. Using adiabatic theory, one can show thatthe eccentricies of the KBOs grow as they are pus
Caltech - GEL - 133
Ge/Ay133 Problem Set #6Revenge of the (Geo)ChemistsDue November 17th(1) This problem is to help you think about the thermal history of bodies that are assembledin the early solar system. Information of this sort is important when thinking about the co
Caltech - GEL - 133
Ay/Ge 133 Problem Set #8Due December 1st , 2011(1) The Jeans formula governing atmospheric escape due to thermal evaporation is: = ni &lt; v &gt; .The ux of escaping particles where ni is the number density of the species of interest and &lt; v &gt;is given byG
Caltech - MS - 115a
Caltech - MS - 115a
Diffusional ProcessesPdH2cH+CO+CO2HxhydrogenseparationmembraneABt=0CACBt&gt;0CACBinterdiffusion couple
Caltech - MS - 115a
Crystal systemLatticestriclinicsimplebase-centeredmonoclinicConvention: = 90 instead of = 90 simplebase-centered body-centered face-centeredorthorhombic = = = 90hexagonal = 120caarhombohedral(trigonal) = = (= )simplebody-centereds
Caltech - MS - 115a
MS 115a, Problem Set #1assigned 09/28/11due 10/05/111. Sodium chloride (NaCl) and cesium iodide (CsI) exhibit predominantly ionic bonding.The Na+, Cl-, Cs+ and I- ions have electron structures that are identical to which inertgases?2. Determine, for
Caltech - MS - 115a
MS 115a, Problem Set #2assigned 10/09/11due 10/14/111. There are four atoms in the unit cell of a cubic close-packed metal. The atomic (orfractional) coordinates of these atoms can be written as0, 0, 0; , , 0; 0, , ; and , 0 where none of the positi
Caltech - MS - 115a
MS 115a, Problem Set #3assigned 10/12/11due 10/19/111. The ceramic compound SrTiO3 adopts the ideal perovskite structure and has a latticeconstant of 3.905 . Compute its density.2. The compounds BaZrO3 and LaAlO3 also adopt the perovskite structure.
Caltech - MS - 115a
MS 115a, Problem Set #4assigned 10/19/11due 10/26/111. What are the planes of highest density in the CCP, HCP and BCC structures? What arethe directions of highest density within those planes?2. Using the left-side diagram below, show that for a 2-di
Caltech - MS - 115a
MS 115a, Problem Set #6assigned 11/2/11due 11/7/111. List and describe three (not more!) strengthening mechanisms used to enhance themechanical properties of metals.2. Suppose you have a single crystal of a cubic close-packed metal which is known to
Caltech - MS - 115a
MS 115a, Problem Set #7assigned 11/09/11due 11/16/111. Consider the Bohr model of an atom.(a) Show that the velocity of an electron orbiting a nucleus is given byv = Ze2/4on (b) Find the time period for one revolution.1. Using the Bohr model of hyd
Caltech - MS - 115a
MS 115a, Problem Set #8assigned 11/17/11due 11/23/111. Explain why nonstoichiometric III-V compounds (where III implies Al, Ga or In and Vimplies P, As or Sb) are typically extrinsic semiconductors.2. The resistivity of pure iron at 1 K is 0.0225 and
Caltech - MS - 115a
MS 115a, Problem Set #9assigned 11/28/11due 12/2/11will not be accepted late1. Show that the chemical potential of species A in an ideal solid solution is given byA = Ao + RTln(Xi)where Ao is the chemical potential in the pure state.2. The enthalpy
Caltech - MS - 115a
CN=8tetrahedralhcpccpoctahedralClNa
Caltech - MS - 115a
a3a2a1
Caltech - MS - 115a
Types of Primary Chemical BondsIsotropic, filled outer shells Metallic++ Electronegative/Electropositive Colavent Electronegative: want electrons Shared electrons alongbond direction+e-e++++++-+-+-+-+ Electropositive: give up ele
Caltech - MS - 115a
Review: Common Metal StructureshcpABABABccp(fcc)ABCABCbccnot close-packedFeaturesFilledoutershells sphericalatomcores,isotropicbondingMaximizenumberofbondshighcoordinationnumberHighdensityIonic Bonding &amp; StructuresIsotropic bonding; alternate
Caltech - MS - 115a
Types of Primary Chemical BondsIsotropic, filled outer shells Metallic++ Electronegative/Electropositive Colavent Electronegative: want electrons Shared electrons alongbond direction+e-e++++++-+-+-+-+ Electropositive: give up ele
Caltech - MS - 115a
MetalsIonic CompoundsanioncationRadius Ratio RulesCN (cation)Geometrymin rc/RA (f)2linearnone3trigonal planar0.1554tetrahedralsites occur within0.225close-packed arrays6octahedral0.4148cubic12cubo-octahedralcommon in ioniccompou
Caltech - MS - 115a
Types of Primary Chemical BondsIsotropic, filled outer shells Metallic++ Electronegative/Electropositive Colavent Electronegative: want electrons Shared electrons alongbond direction+e-e++++++-+-+-+-+ Electropositive: give up ele