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ENGR  (ASTR)  4190/6190  

 Planetary  Atmospheres,  Dynamics,  and  Magnetospheres   The  University  of  Georgia  

Fall  Semester  2012    

 

Professor:  David  Emory  Stooksbury     Office:  603  Driftmier  Engineering  Center     Phone:  583-­‐0156  (3-­‐0156  on  campus)      

E-­‐mail:  [email protected]      

UGA  Bulletin  Course  Description    

The  composition  and  structure  of  planetary  atmospheres;  heating  and  energy  

transport;  atmospheric  dynamics  and  thermodynamics;  orbital  dynamics  of  planets;   magnetospheres;  and  extrasolar  planets.  

 

Credits:  3  hours.      

Weekly  Class  Meeting  Pattern:  Tu/Th  lecture  (2:00  –  3:15  pm)  and  Wednesday   observing/discussion  session  (7:55  –  9:50  pm)  weekly.  Because  labs  are  at  the   mercy  of  the  weather,  we  will  have  to  remain  flexible.  Cloudy  nights  are  built  into   the  schedule.  We  also  have  to  be  flexible  since  the  planets  do  not  follow  the   academic  calendar.    

 

Level:  Undergraduate/Graduate      

Undergraduate  Prerequisite:  (MATH  2500  or  MATH  2700)  and  (PHYS  1212-­‐ 1212L  or  PHYS  1312-­‐1312L)  

 

Undergraduate  Prerequisite  or  Corequisite:  None    

Courses  that  Require  this  Course  as  a  Prerequisite:  None.      

Texts:      

Planetary  Sciences,  2nd  ed.  Imke  de  Pater  and  Jack  J.  Lissauer.  2010.  Cambridge  

University  Press.    

The  Copernican  Revolution:  Planetary  Astronomy  in  the  Development  of  Western   Thought.  Thomas  S.  Kuhn.  1957.  Harvard  University  Press.  

       

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Topical  Outline    

Week  1:  August  13  -­‐  17  Introduction  to  the  Planets    

  Lecture  Readings:  

    de  Pater  and  Lissauer:  Chapter  1,  pp.  1  –  19        

    Kuhn’s  Preface  and  Forward,  pp.  VII  -­‐  XVIII    

  Homework  Problems:  1.2,  1.3,  and1.4    

  Kuhn  Discussion:  None  this  week    

  Observing  Session:  Taking  CCD  images    

  Topic  

    Introduction  to  the  course      

   

PART  I:  ORBITAL  DYNAMICS    

Week  2:  August  20  -­‐  24  Newton’s  Laws  of  Motion    

  Lecture  Readings:  

    Review  the  chapters  in  your  introductory  physics  book  covering         Newton’s  laws  and  their  applications  in  rectilinear  and  two-­‐  

    dimensions  with  special  attention  given  to  uniform  circular  motion.        

    Kuhn’s  Chapter  1:  The  Ancient  Two-­‐Sphere  Universe,  pp.  1  -­‐  44    

  Homework  Problems:  1.5  and  1.6    

  Kuhn  Discussion:  Preface  and  Forward    

  Observing  Session:  Mars  and  Jupiter    

  Topics  

    Classical  Mechanics       Space  and  Time       Mass  and  Force  

    Newton’s  First  and  Second  Laws;  Inertial  Frames       The  Third  Law  and  the  Conservation  of  Momentum       Newton’s  Second  Law  in  Cartesian  Coordinates       Two-­‐dimensional  Polar  Coordinates  

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Week  3:  August  27  –  31  Momentum  and  Angular  Momentum      

  Lecture  Readings:  

    Review  the  chapters  in  your  introductory  physics  book  covering           momentum  and  angular  momentum  with  special  emphasis  on           the  conservation  of  momentum  

     

    Kuhn’s  Chapter  2:  The  Problem  of  the  Planets,  pp.  45  -­‐  77    

  Homework  Problems:  Handout  problems,  Classical  Mechanics  I    

  Kuhn  Discussion:  Chapter  1:  The  Ancient  Two-­‐Sphere  Universe,  pp.  1  -­‐  44    

  Observing  Session:  Mars  and  Jupiter    

  Topics  

    Conservation  of  Momentum       Rockets  

    The  Center  of  Mass  

    Angular  Momentum  for  a  Single  Particle       Angular  Momentum  for  Several  Particles    

   

Week  4:  September  3  -­‐  7  Energy    

  Monday  3  September  is  Labor  Day    

  Lecture  Readings:  

    Review  the  chapters  in  your  introductory  physics  book  covering         kinetic  energy,  potential  energy  (with  special  emphasis  on  potential         energy  being  a  function  of  location),  and  the  conservation  of  energy.        

    Kuhn’s  Chapter  3:  The  Two-­‐Sphere  Universe  in  Aristotelian  Thought,           pp.  78  -­‐  99  

 

  Homework  Problems:  Handout  problems,  Classical  Mechanics  II    

  Kuhn  Discussion:  Chapter  2:  The  Problem  of  the  Planets,  pp.  45  -­‐  77    

  Observing  Session:  The  Moon    

  Topics  

    Kinetic  Energy  and  Work  

    Potential  Energy  and  Conservative  Forces       Forces  as  the  Gradient  of  Potential  Energy  

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    The  Second  Condition  for  Force  to  be  Conservative       Time-­‐Dependent  Potential  Energy  

    Energy  for  Linear  One-­‐Dimensional  Systems       Curvilinear  One-­‐Dimensional  Systems         Central  Forces  

    Energy  of  Interaction  of  Two  Particles       Energy  of  a  Multiparticle  System      

   

Week  5:  September  10  -­‐  14  Kepler’s  Laws    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  22  -­‐  26        

  Kuhn’s  Chapter  4:  Recasting  the  Tradition:  Aristotle  to  Copernicus,           pp.  100  -­‐133  

 

  Homework  Problems:  Handout  problems,  Classical  Mechanics  III    

  Kuhn  Discussion:  Chapter  3:  The  Two-­‐Sphere  Universe  in  Aristotelian         Thought,  pp.  78  -­‐  99  

 

  Observing  Session:  The  Moon    

  Topics  

    Kepler’s  Laws  

    Center  of  Mass  and  Relative  Coordinates;  Reduced  Mass       The  Equations  of  Motion  

    The  Equivalent  One-­‐Dimensional  Problem       The  Equation  of  the  Orbit  

    The  Bounded  and  Unbounded  Kepler  Orbits       Changes  of  Orbits  

     

Week  6:  September  17  –  21  The  Three-­‐Body  Problem,  Perturbation  and    

  Resonances  

 

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.26  -­‐  34        

    Kuhn’s  Chapter  5:  Copernicus’s  Innovation,  pp.  134  -­‐  184    

  Homework  Problems:  2.1,  2.3,  2.4,  2.5,  and  2.8    

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  Kuhn  Discussion:  Chapter  4:  Recasting  the  Tradition:  Aristotle  to         Copernicus,  pp.  100  -­‐133  

 

  Observing  Session:  Asteroids    

  Topics  

    Jacobi  Constant,  Lagrangian  Points       Horseshoe  and  Tadpole  Orbits       Hill  Sphere  

    Distant  Planetary  Satellites  and  Quasi-­‐Satellites       Regular  and  Chaotic  Motion  

    Resonance  

    Examples  of  Orbital  Resonance       Resonance  in  the  Asteroid  Belt  

    The  Resonance  Overlap  Criterion  and  Jacobi-­‐Hill  Stability    

   

Week  7:  September  24  –  28  Stability  of  the  Solar  System    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  34  -­‐  39        

    Kuhn’s  Chapter  6:  The  Assimilation  of  Copernican  Astronomy,           pp.  185  -­‐  228  

 

  Homework  Problems:  2.12,  2.14,  2.15,  2.17,  and  2.18    

  Kuhn  Discussion:  Chapter  5:  Copernicus’s  Innovation,  pp.  134  -­‐  184    

  Observing  Session:  Cloudy  night  make-­‐up    

  Topics  

    Secular  Perturbation  Theory       Chaos  and  Planetary  Motions  

    Survival  Lifetimes  of  Smaller  Bodies       Orbits  About  an  Oblate  Planet       Gravitational  Potential  

    Precession  of  Particle  Orbits       Torque  Upon  an  Oblate  Planet  

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Week  8:  October  1  –  5  Tides;  The  Orbits  of  Small  Bodies    

    Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  39  -­‐  49        

    Kuhn’s  Chapter  7:  The  New  Universe,  pp.  229  -­‐  278    

  Homework  Problems:  2.19,  2.21,  2.22,  2.24,  and  2.35    

  Kuhn  Discussion:  Chapter  6:  The  Assimilation  of  Copernican  Astronomy,         pp.  185  -­‐  228  

 

  Observing  Session:  Cloudy  night  make-­‐up    

  Topics  

    Tides  

    The  Tidal  Force  and  the  Tidal  Bulges       Tidal  Torque  

    Tidal  Heating  

    Dissipative  Forces  and  the  Orbits  of  Small  Bodies    

   

Week  9:  October  8  -­‐  12  Catch  Up  Week    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  1  -­‐  49    

  Homework  Problems:  2.27,  2.30,  and  2.33    

  Kuhn  Discussion:  Chapter  7:  The  New  Universe,  pp.  229  -­‐  278    

  Observing  Session:  Cloudy  night  make-­‐up    

  Topics  

    Orbital  Dynamics  Catch-­‐Up  and  Review    

 

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Part  II:  Planetary  Atmospheres    

Week  10:  October  15  –  19  Solar  Heating  and  Energy  Transport      

MIDTERM  EXAMINATION  IS  ON  THURSDAY  18  OCTOBER.  The  midterm  

examination  will  cover  the  lecture  material  through  week  9  –  classical  mechanics   and  orbital  dynamics.  

 

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  56  -­‐  64      

  Homework  Problems:  3.1,  3.2,  3.3,  3.5,  and  3.8    

  Observing  Session:  None  this  week    

  Topics  

    Energy  Balance  and  Temperature       Thermal  (Blackbody)  Radiation       Albedo  and  Emissivity  

    Equilibrium  Temperature       Conduction  

    Convection  

    Hydrostatic  Equilibrium       Thermodynamics:  1st  Law       Adiabatic  Lapse  Rate      

   

Week  11:  October  22  –  26  Radiation  and  Energy  Transport    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  64  –  72    

  Homework  Problems:  3.11,  3.12,  3.13,  3.17,  and  3.21    

  Observing  Session:  TBD    

  Topics  

    Radiation  Definitions  

    Energy  Transitions  (electron  transitions)       Einstein  A  and  B  Coefficients  

    Equations  of  Radiative  Transfer       Thermal  Profile  

    Greenhouse  Effect  

    Radiative  Transfer  in  a  Surface  

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Week  12:  October  29  –  November  2  –  Radiation  Catch-­‐up  Week    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  56  -­‐  72    

  Homework  Problems:  3.22,  3.23,  3.27,  3.28,  and  3.29    

  Observing  Session:  TBD    

  Topics  

    Radiation  Catch-­‐Up  and  Review    

   

Week  13:  November  5  –  9  Structure  &  Composition  of  Planetary  Atmospheres    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  76  -­‐  100    

  Homework  Problems:  4.1,  4.3,  4.7,  4.8,  and  4.9    

  Observing  Session:  Saturn      

  Topics  

    Density  and  Scale  Height  

    Thermal  Structure  of  Planetary  Atmospheres       Sources  and  Transport  of  Energy  

    Atmospheric  Composition         Spectra  of  Planetary  Atmospheres       Line  Profiles  

    Natural  Damping:  Lorentz  Profile       Pressure  or  Collisional  Broadening  

    Observations  of  Selected  Planets  and  Satellites      

   

Week  14:  November  12  –  16  Planetary  Clouds  and  Circulation    

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  100  –  126      

  Homework  Problems:  4.12,  4.13,  4.14,  4.16,  and  4.17    

  Observing  Session:  Saturn    

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  Topics  

    Clouds  

    Formation  of  Precipitation       Clouds  on  Selected  Planets       Winds  Forced  by  Solar  Heating       Hadley  Circulation  

    Thermal  Tides       Condensation  Flows       Wind  Equations       Coriolis  Effect  

    Thermal  Wind  Equation       Convection  

    Eddies  and  Vortices       Waves  

    Lightning  

    Observations  from  Selected  Planets    

   

Week  15:  November  19  -­‐  23  Thanksgiving  Holiday  Break    

  Lecture  Readings:  

    Review  for  Final  Examination    

  Homework  Exercises:  Review  for  Final  Examination      

  Observing  Session:  Work  on  Project  Presentation    

  Topics  

    Review  for  Final  Examination    

   

Week  16:  November  26  –  November  30  Planetary  Photochemistry;  History  of    

  Secondary  Atmospheres  

   

  Lecture  Readings:  

    de  Pater  and  Lissauer  pp.  126  -­‐  147      

  Homework  Problems:  4.20,  4.25,  4.26,  4.27,  4.29,  4.33,  4.34,  4.35  and  4.36         (Note:  These  homework  problems  will  NOT  be  collected  but           will  help  you  on  your  final  examination.)  

 

  Presentations:  Project  Presentations    

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  Topics  

    Photolysis  and  Recombination       Oxygen  Chemistry  on  the  Earth  

    Photochemistry  of  Selected  Planets  and  Satellites       Electric  Currents  

    Airglow  and  Aurora  

    Molecular  and  Eddy  Diffusion       Atmospheric  Escape  

    History  of  Secondary  Atmospheres    

   

Week  17:  December  3  –  7    

Tuesday  4  December  is  the  last  day  of  fall  semester.  Tuesday  4  December  will  be   running  on  a  Friday  class  schedule.  

     

Final  Examination  

 Tuesday  11  December  2012,  3:30  -­‐  6:30  pm  

 

 

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Course Learning Objectives Matrix Course Learning Objectives Course Assessment Methods* Extent of Coverage of Program Outcomes** (ABET Criterion 3)

Upon successful completion of this course, the student will be able to:

1. Apply elementary classical mechanics to planetary orbits with an emphasis on Kepler’s Laws, perturbations and resonances.

A, B, C, E a-xxx, j-x

2.  Demonstrate  an  understanding  of   Newtonian  gravitational  theory  to  orbital   motion  and  tides.  

A, B, C, E

a-xxx, j-x 3. Explain applied and theoretical aspects of

atmospheric dynamics to planetary atmospheres.

A, B, C, E

a-xxx, j-x

4. Explain applied and theoretical aspects of atmospheric thermodynamics to planetary atmospheres.

A, B, C, E a-xxx

5. Explain and apply simple energy transport models to planetary atmospheres

A, B, C, E

a-x 6. Explain and demonstrate an understanding of the

physics of electromagnetic phenomenon in the solar system.

A, B, C, D, E

a-xx, d-x, g-x, j-xx, k-x 7. Compare and contrast terrestrial and Jovian

planetary atmospheres.

A, B, C, E

a-xxx 8. Demonstrate an understanding of the

relationships among giant planets, brown dwarfs and low-mass stars.

A, E

a-xxx, d-xx, f-xxxx, g-xx * Course Assessment Methods: A – Homework; B – Hourly Exams; C – Final Exam; D – Computer based project; E – Student Evaluation

** Extent of Coverage: x – some, xx – moderate, xxx - extensive ABET EC-2000 Criterion 3 Program Outcomes

a) an ability to apply knowledge of mathematics, science, and engineering: xxx - extensive b) an ability to design and conduct experiments, as well as to analyze and interpret data: x - some c) an ability to design a system, component, or process to meet desired needs: none

d) an ability to function on multi-disciplinary teams: x - some

e) an ability to identify, formulate, and solve engineering problems: none f) an understanding of professional and ethical responsibility: x - some g) an ability to communicate effectively: xx - moderate

h) the broad educational necessary to understand the impact of engineering solutions in a global and societal context: none

i) a recognition of the need for, and an ability to engage in life-long learning: x - some j) a knowledge of contemporary issues: xx - moderate

k) an ability to use techniques, skills, and modern engineering tools necessary for engineering practice: none

 

Overall  Course  Contribution  to  the  Program  Outcome    

This  is  designed  for  atmospheric  sciences,  physics  &  astronomy,  and  engineering  students.  The   course  will  use  a  multidisciplinary  approach  to  study  the  comparative  study  of  planetary   atmospheres.  Special  emphasis  will  be  placed  on  the  fundamental  physics.  

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Method  of  Grading     Midterm  Exam  15%     Final  Exam  15%     Final  Project  25%     Observing  Sessions  10  %   Weekly  Write-­‐ups  10%     Homework  20  %   Project  Presentation  5%       Revision     17  July  2012     Additional  Information    

The  course  syllabus  is  a  general  plan  for  the  course;  deviations  announced  to  the   class  by  the  instructor  may  be  necessary.    The  instructor  reserves  to  right  to  make   changes  to  the  syllabus  as  necessary.  

 

Academic  Honesty    

All  academic  work  must  meet  the  standards  contained  in  "A  Culture  of  Honesty."   Students  are  responsible  for  informing  themselves  about  those  standards  before   performing  any  academic  work.    

 

The  link  to  more  detailed  information  about  academic  honesty  can  be  found  at:     www.uga.edu/ovpi/honesty/acadhon.htm.    

 

Engineering  Professional  Policy    

Engineers  make  great  contributions  to  society.  Engineering  is  a  very  satisfying   profession  that  provides  many  rewards  but  is  demanding  and  requires  hard  work.   The  engineering  profession  is  governed  by  a  code  of  ethics.  Engineering  faculty  at   UGA  expect  students  to  act  in  a  professional  manner  at  all  times  and  develop  the   work  ethics  required  for  a  successful  engineering  career.  Engineering  students  at   UGA  are  responsible  for  maintaining  the  highest  standards  of  professionalism  and   professional  practice.    

 

Engineering  Grading  Policy  Regarding  Communication  Skills    

Thirty  percent  of  the  grade  on  all  written  assignments  (lab  reports  and  papers)  and   oral  presentations  will  be  based  on  quality  of  communication.  Spelling,  grammar,   punctuation,  and  clarity  of  writing  are  evidence  of  written  communication  quality.   Enunciation,  voice  projection,  clarity  and  logical  order  of  the  presentation  and   effective  use  of  visual  aids  are  evidence  of  oral  communication  quality.    

 

Homework  Policy    

Homework  problems  are  due  at  the  beginning  of  class  on  the  Thursday  following  the   week  assigned.    

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Class  Attendance  Policy  

Lecture  attendance  is  encouraged.  Material  will  be  covered  in  class  that  is  not  in  the   book.  Attendance  is  required  for  all  observing  and  discussion  sessions.  

 

Discussion  Write-­‐ups    

Two  page  typed  (10  or  12  point  with  one  inch  margins)  discussion  write-­‐ups  are   due  at  the  beginning  of  Tuesday  ‘s  lecture.  Each  write-­‐up  should  include  a  summary   of  Larson’s  main  points  and  your  thoughts  on  his  points.    

 

Literature  Presentations  

Students  are  required  to  give  a  presentation  based  on  their  project.  The  presenter   will  be  responsible  for  choosing  the  research  problem,  finding  the  appropriate   literature,  presenting  the  findings,  and  leading  a  class  discussion  on  the  research   problem.    

 

Final  Project  

Undergraduates  are  to  write  a  9  to  11  pages  term  paper  on  a  planetary  sciences   topic.  Undergraduates  should  include  a  minimum  of  15  references  from  referred   science  journals.  

 

Graduates  are  to  write  a  12  to  15  pages  term  paper  on  a  planetary  sciences  topic.   Graduate  students  should  include  a  minimum  of  25  references  from  referred  science   journals  

 

A  copy  of  the  abstract  of  each  reference  should  be  submitted  with  the  final  paper.   Use  12-­‐point  type  with  one-­‐inch  borders.  

 

Make  sure  to  adequately  define  a  narrow  planetary  science  topic.  The  paper  must  go   into  the  detail  physics  of  the  topic.  

     

Final  Exam  

Tuesday  11  December  2012,  3:30  -­‐  6:30  pm  

 

References

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