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final_dec11

Course: GEL 133, Fall 2010
School: Caltech
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133 Ge Planetary Formation & Evolution Final Examination Out: 02 December 2011 Due: 09 December 2011 1 pm This exam has a 4-hour limit and must be completed within a single block of time. It is totally closed book, notes, friends, neighbors, internet, dogs, cats, pygmy hedgehogs, etc. More seriously, the time limit is there mostly so that you are forced to nish, we dont think it should take you nearly...

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133 Ge Planetary Formation & Evolution Final Examination Out: 02 December 2011 Due: 09 December 2011 1 pm This exam has a 4-hour limit and must be completed within a single block of time. It is totally closed book, notes, friends, neighbors, internet, dogs, cats, pygmy hedgehogs, etc. More seriously, the time limit is there mostly so that you are forced to nish, we dont think it should take you nearly this long. The problems are worth 10 points each (so the individual parts of problem one are worth two points each, etc.). Good luck! 1. Order of Magnitude (Exo)Planetary Science To order of magnitude, give the following quantities, and briey, briey, briey describe the evidence or theory used to constrain them: C/H ratio (by number) in the Interstellar Medium The mass of a Giant Molecular Cloud. The value of the disk viscosity parameter required to explain disk lifetimes. Migration timescale of Jupiter if it opens a gap in the surrounding disk. Formation of FeNi cores in dierentiated bodies & the nal accumulation of terrestrial planets. 2. Extrasolar Planets There are four major methods for detecting extrasolar planets radial velocity surveys, transit surveys, direct imaging, and microlensing (astrometric surveys may ultimately yield a large number of detections, but we didnt cover this technique in the class very well, so well let you o the hook there). Compared to radial velocity (or astrometric surveys) alone, what further information about extrasolar planets can be extracted from transit measurements, especially if radial velocity data are also available? What wavelength regions are most important for extracting exoplanet physical properties? 3. Disks and the Young Stars they Encircle Most cirucmstellar disks have never been imaged, and so we learn about them in ways akin to the parable of the blind men describing an elephant from diverse lines of evidence. What do each of these features tell us about an individual circumstellar disk/young star in which they are seen: UV excess, lithium features in stellar photospheres, infrared excess (say, 1-30 m), silicate emission features, millimeter-wave (excess) ux. How are disk evolution time scales obtained? Again, you can/should be brief! 4. Planetesimal Growth What are the factors can that aect the velocity evolution of a planetesimal swarm and thus the formation of planetary embryos? Explain whether each eect increases or decreases the velocities/velocity dispersion. What eect dominates? 5. The Core-Accretion Picture In the core-accretion model of Jovian planet formation, what are the major phases in the transformation of sub-micron sized dust grains into a full edged planet? Why in such a model do Jovian planets form in the outer regions of forming planetary systems? 6. Planetary Migration? What is the evidence that migration occurred in at least some extra-solar planetary systems? What is the physical mechanism by which such migration might have occurred, and what determines the dierent migration rates of the so-called Type I & II scenarios? 7. Gas dissipation Describe the dierent ways in which the gaseous component of the circumstellar disk dissipates. Where in the disk is each of these most important? For extra credit, are their tracers that could realistically be used to examine these processes (in the solar system or astronomically) with current instrumentation? 8. Our Own Kuiper Belt Sketch the eccentricity-major axis distribution for detected Kuiper Belt Objects (KBOs). Explain how we think each of these major features came to be, starting from a planetesimal disk in which Neptune is embedded. Why is Sedna so dierent from all other known KBOs? 9. Other Kuiper Belts? For a planet orbiting a central star, how many Lagrange points are there? Which of these have stable orbits near them? Why do we care about these Lagrange points in the analysis of the debris disks around young main-sequence stars? Be sure to include in your argument the lifetime of micron-sized dust particles in such systems. 10. Meteorites and the Young Solar Environment From what materials do chondritic meteorites take their name? What are CAIs? From what region(s) of the solar system are meteorites delivered to the Earth? What can we learn about the solar nebula from such materials, and what lines of evidence are there that suggest the Sun may have formed in a young stellar cluster as opposed to relative isolation? What time scales are inferred? Are there processes in the pre-solar nebula that can confuse these putative signatures?
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Caltech - GEL - 133
1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T1996ApJ.460.832T
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The Demographics of Extrasolar Planets Beyond theSnow Line with Ground-based Microlensing SurveysarXiv:0903.0880v1 [astro-ph.EP] 4 Mar 2009White Paper for the Astro2010 PSF Science Frontier PanelB. Scott GaudiThe Ohio State Universitygaudi@astronomy
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LETTERdoi:10.1038/nature10201A low mass for Mars from Jupiters earlygas-driven migrationKevin J. Walsh1,2, Alessandro Morbidelli1, Sean N. Raymond3,4, David P. OBrien5 & Avi M. Mandell6we present a simple scenario that reflects one plausible history
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c ESO 2011Astronomy & Astrophysics manuscript no. HARPSstatSeptember 13, 2011The HARPS search for southern extra-solar planetsXXXIV. Occurrence, mass distribution and orbital properties of super-Earths andNeptune-mass planetsM. Mayor1 , M. Marmier1
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Draft version August 20, 2009APreprint typeset using L TEX style emulateapj v. 10/09/06INTERNATIONAL YEAR OF ASTRONOMY INVITED REVIEW ON EXOPLANETSJohn Asher Johnson1arXiv:0903.3059v1 [astro-ph.EP] 17 Mar 2009Draft version August 20, 2009ABSTRACTJ
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Lecture 1 What can the solar system tell us about theformation & evolution of planetary systems?Lets consider:1. The sun.2. The major planets.3. Small bodies, including the Kuiper Beltand laboratory samples.What is the composition of the sun? Are o
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Lecture 1 What can the solar system tell us about theformation & evolution of planetary systems?Lets consider:1. The sun.2. The major planets.3. Small bodies, including the Kuiper Beltand laboratory samples.What is the composition of the sun? Are o
Caltech - GEL - 133
Extrasolar planet detection:Methods and limitsGe/Ay133How do you find a planet? Look for it? Hard (as well see)!Only planet imagedis very young andfar from its star.Are such objectscommon or rare?Duquennoy & Mayor (1991) - BinariesWhere should
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Extrasolar planet detection:Methods and limitsGe/Ay133How do you find a planet? Look for it? Hard (as well see)!Only planets imagedare very young andfar from their stars.Are such objectscommon or rare?Duquennoy & Mayor (1991) - BinariesWhere sh
Caltech - GEL - 133
Extrasolar planet detection:Methods and limitsGe/Ay133How do you find a planet? Look for it? Hard (as well see)!Only planets imagedare very young andfar from their stars.Are such objectscommon or rare?Duquennoy & Mayor (1991) - BinariesWhere sh
Caltech - GEL - 133
What have radial velocity surveys toldus about (exo)-planetary science?Ge/Ay133Discovery space forindirect methods:Radial velocityAstrometry(r=distance to the star)Mayor, M. & Queloz, D. 1995, Nature, 378, 355Udry, S. et al. 2002, A&A, 390, 26Jo
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Extrasolar planet detection: Methods and limitsGe/Ay133Spectral Energy Distributions(or, Blinded by the light!.)How do you find a planet? Look for it? Hard (as weve seen)!Only planets imaged are very young and far from their stars. Are such objects
Caltech - GEL - 133
What have radial velocity surveys toldus about (exo)-planetary science?Ge/Ay133Discovery space forindirect methods:Radial velocityAstrometry(r=distance to the star)Mayor, M. & Queloz, D. 1995, Nature, 378, 355Udry, S. et al. 2002, A&A, 390, 26Jo
Caltech - GEL - 133
What have radial velocity surveys told us about (exo)-planetary science?Ge/Ay133Discovery space for indirect methods:Radial velocityAstrometry(r=distance to the star)Mayor, M. & Queloz, D. 1995, Nature, 378, 355Udry, S. et al. 2002, A&A, 390, 26Jo
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What can transit observations tell us about (exo)-planetary science?Ge/Ay133Sometimes the absence of signal is interesting:Gilliland, R.L. et al. 2000, ApJ, 545, L47No transits in 47 Tuc, `expectation'=30-40 (34,000 stars)Transits, approach #1:Sato,
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What (exo)-planetary science can bedone with microlensing?Ge/Ay133Other routes to Earth-like planets? = 4GM/bc2bMicrolensing example:Microlensing example:Best geometry uses stars at a few kpc (the lens)against the Galactic Bulge (light source).5
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What (exo)-planetary science can bedone with microlensing?Ge/Ay133Other routes to Earth-like planets? = 4GM/bc2bMicrolensing example:Microlensing example:Best geometry uses stars at a few kpc (the lens)against the Galactic Bulge (light source).5
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SED studies of disk lifetimes &Long wavelength studies of disksGe/Ay133Characterizinglargedisksamples?SEDModels:HH30G.J. vanZadelhoff2002Chiang &Goldreich1997IRdisk surface within several 0.1 several tens of AU(sub)mmdisk surface at large ra
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SED studies of disk lifetimes &Long wavelength studies of disksGe/Ay133Characterizinglargedisksamples?SEDModels:HH30G.J. vanZadelhoff2002Chiang &Goldreich1997IRdisk surface within several 0.1 several tens of AU(sub)mmdisk surface at large ra
Caltech - GEL - 133
SED studies of disk lifetimes & Long wavelength studies of disksGe/Ay133Characterizinglargedisksamples?SEDModels:HH30G.J. van Zadelhoff 2002Chiang & 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
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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
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How do small dust grains growin protoplanetary disks?Ge/Ay133Howdowegofromawellmixedgas/dustgraindisk:Toamatureplanetarysystem?Forsolids,itishelpfultodistinguishamongstseveralregimes:mcmkmmoon/Mars(oligarchs)110MEarthStep#1:Growthfrom~0.1mto~1cmsca
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How do planetesimals grow toform ~terrestrial mass cores?Ge/Ay133Fornow,letsignorethegas.Thismeanswecanjustworryaboutgravity.Forthepairwiseinteractionoftwobodies,wehave:r=a1br=a2Forcollisionsthataregrazing,thevelocityatimpactcanbeshowntobePluggi
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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 & Jovian planets have on the surrounding disk? Or, Migration & GapsGe/Ay133Disks can be unstable globally:Toomres criterion Q c/( G) < 1 ( axisymmetric perturbations) = epicyclic frequencyDisks can be unstable globall
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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) < 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) < 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 &Luu), now manymany hund
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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
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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
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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
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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
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Planetary DynamicsGe/Ay133Orbital elements (3-D),& 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),& 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
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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
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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
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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
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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
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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
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Ay/Ge 133 Problem Set #8Due December 1st , 2011(1) The Jeans formula governing atmospheric escape due to thermal evaporation is: = ni < v > .The ux of escaping particles where ni is the number density of the species of interest and < v >is given byG
Caltech - MS - 115a
Caltech - MS - 115a
Diffusional ProcessesPdH2cH+CO+CO2HxhydrogenseparationmembraneABt=0CACBt>0CACBinterdiffusion couple