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        Getting the Most from a CCD Spectrograph.
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1.       from  10 INCH    4 5  549   e Extremely portable  e Tube 45 x 12 7 inches  e Diffraction limited optics  e Includes wide field eyepiece  e Improved mount system    13 1 INCH f 4 5  899     e A BIG scope for less money  e Easy 1 person setup   e Tube 57 x 15 7 inches   e Diffraction limited optics   e Includes wide field eyepiece    8 INCH f 7    e Lunar planetary scope   e Tube 56 x 10 5 inches   e Diffraction limited optics   e Includes high magnification  eyepiece   e Extra stable mount    HOW TO ORDER    Send no money  A deposit is NEVER required to  process your order  Pay just before shipment by  check  money order  Visa  or MasterCard     For orders or information   Call 1 561 795 2201  Web  www murni com    Fax  1 561 795 9889    tno New ae  Coulter Optical    Div  MURNAGHAN Instruments    1781 Primrose Ln       West Palm Beach  FL 33414    Bigger Scopes       Better Optics       Less Money    July 2000   Sky  amp  Telescope          The observatory   s Meade 16 inch telescope  was used for the spectra with this article     be done with CCD spectrographs  We also  review the basic concepts of spectroscopy  and the steps involved in obtaining and  calibrating spectroscopic data    Amateurs are already demonstrating a  remarkable proficiency with CCD spec   trographs  One of the most impressive  examples we have seen is Maurice Gav   in   s galaxy and quasar redshift measure   ments  S amp T  June 1999  page 14   The  box on page 127 illustrates an easier and  equa
2.    sion lines in deep sky objects such as the  Orion Nebula and the spiral galaxy M77    While enterprising amateurs can build  their own spectrographs  both Sivo Scien   tific  www sivo com  and Santa Barbara  Instrument Group  www sbig com  offer  commercial units designed for astronomi   cal work  In this article we present some  interesting spectroscopy projects that can    All the spectra with this article were recorded at the  rooftop observatory on Harvard University   s Science Cen   ter under some of North America   s most light polluted  skies  Sheila Kannappan  center  built the observatory   s  spectrograph as a graduate student project with advice  from coauthor Daniel Fabricant  left  and expert machin   ing assistance from Charles Hughes  right           Sky  amp  Telescope   July 2000    S amp T  CRAIG MICHAEL UTTER    126    ODYSSEY  TELESCOPES    Seeing the rea  Universe    PRESS RELEASE     MURNAGHAN Instruments Buys Coulter  Optical   Assets  Production of Odyssey    Telescopes will continue  New product  benefits from financial stability and  management of MURNAGHAN Instru   ments Corporation     THE ODYSSEY ADVANTAGE    e No assembly required   e Improved Dob mount and focuser  e Double strength Sonotube   e Eyepiece included   e Many options available   e Lowest prices anywhere    8 INCH f 4 5  399     e Deep space scope   e Tube 36 x 10 5 inches   e Diffraction limited optics   e Includes wide field eyepiece    e Reengineered mount system  from   399  
3.  Hot O and B  stars glow brightest at blue wavelengths   while our Sun  which is cooler  emits the  most light at yellow and green wave   lengths  The coolest     late type    stars ap   pear redder    Many spectra show dark absorption  lines and emission lines  which tell of  other physical processes  The dark lines  arise when molecules and atoms in a  star s atmosphere absorb continuum light  at specific wavelengths  Late type stars  show spectra rich in    metal     heavy ele   ment  absorption lines and sometimes  broad bands of molecular absorption  In  hotter stars molecules are disrupted and  metals are ionized  so most of the ab   sorption lines disappear at visible wave   lengths  On the other hand  these    early   type    stars show the hydrogen Balmer  series of absorption lines prominently    These hydrogen lines can also appear  as emission features     bright lines in  the spectrum     under different physical  conditions  For example  radiation from  hot O and B stars can ionize surround   ing gas clouds and produce line emit   ting    H II regions     astronomer   s short   hand for ionized hydrogen clouds  such  as the Orion Nebula  Hydrogen emission  lines  along with a host of others from el   ements such as oxygen  nitrogen  and  sulfur  are common in the spectra of  gaseous nebulae     Measuring Velocities   When a light source is moving along our  line of sight  we can measure its velocity  using the Doppler shift  Just as the pitch  of a train whistle
4.  Nebula or the galaxy M77 by com   bining a pair of 5 to 10 minute expo   sures  Since the characteristics of most  amateur spectrographs will be roughly  comparable to ours  these exposure times  will approximately scale by telescope  aperture for point sources  For example     an 8 inch telescope has one quarter the  light collecting area of our 16 inch  so it  would need a 40 second exposure for a  2nd magnitude star  For extended  sources  the exposure time will also de   pend on what fraction of the object is  imaged onto the spectrograph   s entrance  aperture     decreasing a telescope   s focal  length or increasing the entrance aper   ture will decrease the exposure time  Just  as with conventional CCD imaging  ex   posures longer than about 10 minutes  should be    assembled    from a series of  shorter exposures to make it easy to re   move things like cosmic ray artifacts  from the final image     Calibration   Unlike a raw pictorial image  a raw spec   trograph image does not always resemble  the final calibrated data that will be ex   tracted from it  Without calibration  the  raw frame yields a spectrum that is high   ly distorted by the way the telescope and  spectrograph transmit and detect differ   ent wavelengths of light  Fortunately   most of this distortion can be removed    Flux Calibrating CCD Spectra    he table on page 131 lists some bright   stars for which reference spectra  sam    pled every 1 6 nanometers  16 ang   stroms  between 330 and 755 nan
5.  for IDL are available on the Web  http     idlastro gsfc nasa gov homepage html    WaveMetrics IGOR  www wavemetrics   com  is much less expensive than IDL   and it offers extensive built in graphing  and analysis features as well as program   ming capabilities  IGOR was not de   signed specifically for astronomy  but it  is flexible and the user   s manual and  technical support are excellent    Some other programs that may be use   ful include Maxim DL  www cyanogen   com   PDL  the Perl Data Language   available free from http   www aao gov   au local www kgb pdl    and DS9  a  quick look program we use to check ex   posure levels of the data obtained at the  telescope  available free from http   hea   www harvard edu RD ds9    DS9 lets you    Raw Data    CCD counts        Extracted Spectrum      After Bias Subtraction       0 100 200 300    Pixel Number             E     3  QO Wavelength  D Calibrated  500 550 600 650  Wavelength  nanometers   E  Pa Flux Calibrated  Vv      w  2  ic   oD   fas    500  Wavelength  nanometers     550 600 650    run a mouse over a CCD image and in   stantly obtain an intensity plot for the  row of pixels under the cursor     Exposure Times  Spectroscopy in general  and high reso   lution spectroscopy in particular  re   quires longer exposure times than con   ventional imaging  This is because light  from a star or other source is spread into  a spectrum that covers many pixels on  the CCD rather than being concentrated  onto just a few as 
6.  rises and falls as the  train approaches and then recedes  light  waves are blueshifted to higher frequen   cies when they come from an approach   ing source and are redshifted to lower  frequencies for a receding source  The  formula for this shift is v c   AA A   where    is the wavelength of the spectral  feature for a source at rest  AA is the  change in the wavelength  c is the speed  of light  and v is the velocity of the  source relative to the observer  The ex     The Life of a Star    Birth  Star forming regions such as the Orion Nebula glow with the  light of young  hot stars as well as light from the ionized gas bubbles  these stars carve out of the cold gas clouds around them  As the bub   bles expand  their shock fronts can compress the rest of the cloud  driv   ing additional waves of star formation  The strong lines in the Orion  Nebula   s spectrum include the hydrogen Balmer series of emission  lines  starting with hydrogen alpha  656 3 nanometers  and hydrogen   beta  486 1   as well as emission lines of ionized nitrogen  N II at 654 8  and 658 4  and twice ionized oxygen  O Ill at 495 9 and 500 7      Orion Nebula Hydrogen alpha    Hydrogen   beta    Doubly ionized  oxygen    Relative intensity     gt     500 550 600 650  Wavelength  nanometers     Midlife  Most stars fall into the familiar OBAFGKM spectral classifica   tion system  The earliest types  O and B  represent the hottest  brightest   and most massive stars  while the later types may be either d
7. 600 650  Wavelength  nanometers     Planets  Planets shine by the reflected light of the Sun  but their at   mospheres may reprocess that light in interesting ways  Above  the  spectra of Jupiter and Saturn reveal a broad methane absorption fea   ture at about 620 nanometers superposed on the reflected G type  solar spectrum  Jupiter s atmosphere also creates an ammonia absorp   tion feature from 640 to 650 nanometers  Both spectra are somewhat  redder than the Sun   s because the planets    atmospheres preferentially  reflect red light     Sky  amp  Telescope   July 2000    127    128       Spectroscopy Project Ideas    Project Required resolution Spectral range Magnitude range Notes   nanometers   nanometers   Stellar spectral types 1 470 670 0 5 350 900 better  Solar system objects 1 470 670 0 10 350 900 better  Outer  planets hard to track  Variable stars 1 470 670 3 15 350 900 better  Supernova identification 1 350 700 Limited only by 0 5 nanometer resolution  your ambition better  Smaller range okay  Stellar radial velocities 0 3 470 670 0 5 Requires careful  wavelength calibration  Nebular emission lines ice 470 670 14  Lower resolution a help for  faint targets  Galaxy redshifts IE 650 700 14  Choose range based on   for example  redshift and desired lines  Emission lines in active galactic 0 3 1  470 780 14  Choose subrange based on  nuclei  AGNs  including quasars  or any subrange  redshift and desired lines    pansion of the universe also produces a  cosmic redshif
8. 87 00  01 50    03 01 7 5 1 B7 III IV  E Ceti HR 718 022 28  10   08 27 6 4 3 B9 Ill  T  Orionis HR 1544 04  50    37    08 54 0 4 4 A1V  n Hydrae HR 3454 08  43  14    03 23 9 4 3 B3 V  O Crateris HR 4468 11736741   09 48 1 4 7 B9 5 V  O Virginis HR 4963 13109  57    05 323 4 4 All  108 Virginis HR 5501 14  45    30    00 43 0 Sm B9 5 V  58 Aquili HR 7596 19  54    45    00 16 4 5 6 AO Ill  g Aquarii HR 7950 20  47  41    09 29 8 3 8 A1V  C Pegasi HR 8634 PEA 23   10 49 9 3 4 B8 V    any artifacts identified in a search for  small bright spots that appear in one  image but not the others  These can be  removed when the spectra are added to   gether    The goal of wavelength calibration is  to determine the wavelength at each  pixel in the spectrum  Fortunately  a  spectrograph that uses a diffraction grat   ing to disperse light has  to a first ap   proximation  a linear relationship be   tween wavelength and pixel position   Thus  a few recognizable emission or ab   sorption lines in the image will provide  enough information to determine the    entire wavelength scale  The simplest so   lution is to observe an astronomical  source with strong and easily identifiable  lines  such as the Orion Nebula or Gam   ma Cassiopeiae  In this case you may  wish to compensate for any Doppler shift  in the reference spectra due to the ob   jects radial velocity  A more accurate  wavelength calibration requires the spec   trum of a calibration lamp    The stability of this wavelength cal
9. Getting the Most from a    CCD Spectrograph       astro imaging BS    Amateurs with backyard telescopes are taking their own spectra of stars  nebulae  and galaxies  But there   s more    to it than just recording a spectrum   s image    By Sheila Kannappan and Daniel Fabricant    URING THE LATTER HALF OF   the 19th century  amateur   astronomers such as Henry   Draper  Lewis Rutherfurd   and William and Margaret Huggins took  the lead in developing new spectroscopic  techniques for astronomy that helped es   tablish the emerging field of astrophys   ics  Dissecting starlight by wavelength  allowed astronomers to determine the  physical nature of the Sun and stars  re   vealing their chemical compositions  ra   dial velocities  and internal motions            mi               A century later  high efficiency CCD  spectrographs allow today   s amateurs to  obtain high quality spectra from their  backyards  using telescopes no larger than  the ubiquitous 8 inch Schmidt Casse   grain  Even under light polluted skies   such equipment reveals a fascinating va   riety of features in the spectra of bright  stars  We recently built a fiber fed CCD  spectrograph for use by students in Har   vard University   s astronomy courses  At   tached to a 16 inch telescope  it captured  the spectra accompanying this article    from the roof of Harvard   s Science Cen   ter  right in the heart of downtown Cam   bridge  Massachusetts  We use it to observe  bright stars and planets as well as emis
10. c   tion consists of three essential parts   background subtraction  wavelength  calibration  and flux calibration   Background subtraction removes un   wanted signal in the spectra due to the  CCD   s bias and dark current as well as  light pollution from the sky  A simple  way to accomplish this is to take an  identical exposure of the blank sky next  to the object and subtract it from the  spectrum image  Unfortunately  this  method wastes precious observing time   so we usually use a different procedure   Since bias subtraction is a necessary  step for any further calibration  we re   move the bias and the dark current si   multaneously by subtracting the average  pixel value obtained from pixels on the  CCD adjacent to those recording the  spectrum  While this method is not per   fect  using an average value does not  take into account unusually    hot    or    served spectrum   The result will be a ratio of  the star   s    official    spectrum to the spectrum  your equipment recorded at the various  wavelengths    It is now a simple matter to multiply all  your spectra by this correction  Doing this re   moves all flux distortions introduced by your  equipment  If you don   t care about the de   tails of atmospheric absorption or about get   ting absolute flux levels  then this procedure  is all you need  In fact  the spectra accompa   nying this article were reduced by this  method  Furthermore  you can reuse the  same standard star data over and over if your  setup d
11. ffer void where prohibited     Jim   s Mobile Inc     810 Quail St  Unit E e Lakewood  CO 80215       Orders  800 247 0304    Info  303 233 5353    Fax 303 233 5359    
12. ger  carry bag  Comes in two configurations    12 volt  290 00  18 volt       390 00    18 volt version is for LX 200 owners     One plug has a built in inverter for 18 volt  output     We accept all major credit cards    KENDRICK ASTRO INSTRUMENTS    2920 Dundas St  West  Toronto  Ont M6P 1Y8  Canada  Tel 416 762 7946 Fax 416 762 2765    kendrick al com       email  kendrick kendrick ai com    Sky  amp  Telescope   July 2000    132    mounted spectrograph  we can use a sin   gle wavelength calibration for an entire  night and indeed for weeks    Flux calibration involves observing a  standard star  dividing its spectrum as  recorded by the spectrograph by its    offi   cial    spectrum as determined from a ref   erence database  and using the result to  correct the flux levels of the rest of your  data  see the box on page 130     Because there are only a few bright  standard stars  there will not always be  one conveniently placed for calibration   As an alternative  if you don   t need an ac   curate flux calibration but just want to  remove gross instrumental distortions   you may prefer to record the spectrum of  a bright star with the same spectral type  and luminosity class as one of the stan   dard stars  and then compare the spectra    Stellar classification information is avail   able on the Web at http   simbad harvard   edu   This strategy has the advantage of  giving you a wider choice of calibration  stars at the expense of introducing small  errors due to diffe
13. i   bration throughout the night depends  on whether the spectrograph optics flex  as the telescope moves or the tempera   ture changes  With our fiber fed  bench        ZIP OUT ROOF    a    EASY SETUP  t  DURABLE    PORTABLE  RAINFLY  ROOMY    ME TENT l       Ohi    SHE     a    ER D  tad 4 ZIP OUT SLOTS  LIGHTPROOF  FAST SETUP   PORTABLE  DURABLE  ROOMY    Optional rain fly   95 00    m  IRS  T Es    ULTIMATE Il   6160 00    JESERVING CHA    ULTIMATE  125 00  Ultimate Il has a  folding accessory  tray for eyepieces  filters  charts etc     Made from Baltic  Birch Plywood     Seat is adjustable  from 9    to32       Buy Direct or from your favourite dealer     30 00  C5  ETX 125     30 00  AP 105mm   30 00  AP 130mm   30 00 9 25    SCT    LASER COL LIN    Collimators for  Schmidt Cassegraines  and Newtonians  1 25         100 00    AP 155mm   35 00  7    Mak  8    SCT    SCT NGF s     175 00    Face of collimator angled at 45   for easy reading     Lj E    m pr i a     Fi  A a PHA i FIL    i   We are the exclusive North American distributors for    Coronado Instruments H Alpha filters and telescopes   Dealer inquiries welcome     ASP 60  2625 00  ASP 60 BF30     3108  00    DEW REMOVER SYSTEM    DEWCAPS    Flexible  Felt lined  Durable   Save up to 85  vs Brand Name     12V 17 AMP HOUR  Comes with float charger  carry bag  built inj J  fused cigarette lighter power socket       125 00      33 AMP HOUR BATTERY    4 fused power plugs  LCD for state of charge   1 amp float char
14. in direct imaging  The  more widely the light is spread out into  a spectrum  the more sharply we can re   solve closely spaced spectral features  But  this higher resolution comes at the ex   pense of diluting the light and thus re   quires longer exposures  Many other fac   tors also affect exposure time  telescope aperture  spectrograph efficien   cy  noise characteristics of the CCD cam   era  and sky brightness  to name a few   Rather than modeling all these factors   we have found the easiest way to make  exposure calculations is by scaling from  other spectroscopic observations of simi   lar objects  Once you have obtained suc     Sky  amp  Telescope   July 2000    129    130    cessful spectra for a few objects  simply  multiply those exposures by a factor of  2 5 for each magnitude fainter that you  wish to observe  This technique works  only for stars  since typically just a small  fraction of the light from extended ob   jects passes through a spectrograph slit   On the other hand  an emission nebula is  sometimes much easier to observe with a  spectrograph than its surface brightness  would imply  since almost all of its light  will be concentrated in a few bright emis   sion lines rather than spread across a con   tinuum    With our 16 inch telescope and the  spectrograph operating at 0 6 nanometer  resolution  we obtain the spectrum of a  2nd magnitude star with a 10 second ex   posure  Switching to 1 6 nanometer res   olution  we can get a spectrum of the  Ring
15. lly entertaining project     observing  the life cycle of stars  We obtained most  of the spectra shown with exposures of  30 seconds or less    The table on page 128 summarizes the  technical requirements for several spec   troscopy projects suited to amateur  equipment  All are within the capabilities  of an 8 inch telescope and a high quality  spectrograph  Typical projects fall into  two main categories  measuring spectral  properties to determine chemical and  physical processes in celestial objects  and measuring the objects    radial ve   locities  speeds along the observer   s line  of sight   The following brief review of  the basic concepts involved can be sup   plemented with material in books such  as James Kaler   s Stars and Their Spectra   W  H  Freeman  1997  and Lawrence  Aller   s Atoms  Stars  and Nebulae  Cam   bridge University Press  1991      Measuring Spectral Properties   Generally speaking  a spectrum consists  of a continuum  light spread over a broad   continuous range of wavelengths  as well          S amp T  CRAIG MICHAEL UTTER    as some narrow spectral features or lines  superposed on it    The continuum alone often reveals  something about the conditions under  which the light was produced  In the case  of normal stars  it represents light emit   ted by the star   s photosphere  visible sur   face   This light is primarily thermal  blackbody radiation  and thus the wave   length of its peak intensity indicates the  photosphere   s temperature 
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17. nts made of exotic matter  Massive stars may  die gloriously in supernova explosions  while less massive stars such as  the Sun will form planetary nebulae  Both processes enrich the interstel   lar gas and provide raw materials for future generations of stars  In our  Harvard program we haven t yet captured the spectrum of a supernova   but we have recorded the spectra of planetary nebulae    Equally spectacular are the  spectra of aging stars such as  the well known variables  Mira  Omicron Ceti  and  Gamma Cassiopeiae  Mira is  surrounded by a patchy   dusty envelope  and its spec   trum has a bizarrely saw   toothed structure caused by  titanium oxide absorption  features  Low mass stars such  as the Sun are likely to go    Mira    Relative intensity     gt     500 550 600 650  Wavelength  nanometers         through a similar stage late Gamma    in their lives before finally Cassiopeiae  ejecting their envelopes and Hydrogen     i   Iph  settling down as white Apoa    dwarfs  Gamma Cassiopeiae  is orbited by just such a rem   nant companion     either a  white dwarf or a neutron star  500  550 600 650  The companion  a bright X   ray source  sucks matter from  Gamma Cassiopeiae  and this gas produces Balmer series emission lines  superposed on the bright star   s B type stellar spectrum     Relative intensity     gt     Wavelength  nanometers       Ammonia  Jupiter absorption  band  2 Planetary Spectra      e9       lt  Saturn  i Methane  g absorption  band       500 550 
18. oesn   t change  We use one calibration  for many nights     Algol        calibrated        uncalibrated    600    Wavelength  nanometers     July 2000   Sky  amp  Telescope    550 600  Wavelength  nanometers           cold    pixels   it is adequate for bright   star work  where there is a lot of signal  relative to the level of the bias and dark  current    For fainter targets it is important to  subtract the sky background as well as  the pixel by pixel bias and dark current   because an errant pixel or emission from  skyglow could easily be mistaken for a  real feature in a weak spectrum  With a  slit type spectrograph  the sky is present  across the whole slit  so its level can be  estimated from pixels adjacent to the tar   get   s spectrum  Our spectrograph uses  optical fibers to transfer light from the  telescope to the spectrograph  where the  fibers are arranged in a line to act like an  entrance slit  With this system a fiber at  the telescope   s focal plane can be posi   tioned on blank sky to record the back   ground while a matching fiber is posi   tioned on the target  To remove the sky  background  we wavelength calibrate the  sky   s spectrum as described below and  subtract it from the target   s wavelength   calibrated spectrum    With very long exposures  cosmic ray  artifacts become a problem  In this case   multiple exposures should be taken and       Bright Standard Stars    Star Designation R A   2000 0  Dec  Magnitude Spectral type  29 Piscium HR 90
19. ometers   are available on the Web  http   adc gsfc   nasa gov adc cgi cat pl  catalogs 2 2179     The fluxes in the reference spectra are given  in monochromatic magnitudes  which may  be converted to absolute flux at any given  wavelength using the equation    ase OA oe     where F  is given in photons per square cen   timeter per second per nanometer     is the  wavelength in nanometers  and mag is the  monochromatic magnitude     Saturn    Relative intensity     gt     550        calibrated      uncalibrated    For example  the reference star HR 8634 has  a monochromatic magnitude of  3 4 at a  wavelength of 555 6 nanometers  Evaluating  the above equation gives an absolute flux of  about 430 photons per square centimeter per  second per nanometer at this wavelength    Because a CCD   s pixel value is directly pro   portional to the number of photons striking  it  as long as the pixel value remains well  below its saturation level  you can perform a  first order flux calibration by dividing your  observed spectrum of a standard star into  the star s reference spectrum obtained from  the Web site   Before dividing  you may need  to manipulate the reference spectrum to  match the range and resolution of the ob     Methane    absorption    band    Relative intensity     gt     with a basic calibration procedure that  corrects for everything except atmos   pheric absorption  We applied this sort  of minimal processing to calibrate the  spectra with this article  The data redu
20. rences in spectral shape  and radial velocity    A remaining concern is atmospheric  absorption  which takes its heaviest toll  at the blue end of the spectrum  The  basic flux calibration described above  partially corrects for this effect  However   a more thorough calibration is needed to  refine the correction  Absorption by the  Earth   s atmosphere depends on how high  the object is in the sky  At low altitudes  the light path through the atmosphere is  long and results in greater absorption  To  model this effect requires observing stan   dard stars at different altitudes  Alterna   tively  you can skip the modeling if you  observe a standard star very close to the  object of interest immediately before or  after recording the object   s spectrum  so  that the light path through the atmos   phere is similar for both targets  This  method is preferable if there are thin  clouds present     Have Fun    This article gives an overview of the tools  and techniques you need to collect  work  with  and understand spectra  Amateur  spectroscopy is entering a renaissance   and the fun is just beginning  D       SHEILA KANNAPPAN and DANIEL FABRICANT  are astronomers at the Harvard Smithsonian  Center for Astrophysics  with special interests  in the evolution of galaxies and the large scale  structure of the universe     July 2000   Sky  amp  Telescope               G  a  1 000 NGT 6      telescope  LIGHT   _ WEIGHT                    1 1 4    anodized with  stainless steel beari
21. reserva     day   Scientific Expeditions  Inc     227 West Miami Ave   Suite  3     Venice  FL 34285  Fax  941 485 0647  E mail  scienex aol com    July 2000   Sky  amp  Telescope    il solar eclipse of the new millenni   June 21  2001  in exotic    MOUS    For more information  call toll free  800 344 6867  int your Web browser to http   www skypuh  jenx atrica2001 html __  lll              Calibrating a  Spectrum    a      EE E EE  L E E    Ree eo O    ae a          CCD counts          Mercury Neon  Calibration  Lamp              Wavelength  nanometers   500 550 600           650          100 200    Pixel Number    300    Transforming images from a CCD spectrograph into useful spectra requires a series of cali   bration steps  The authors    fiber fed spectrograph produces a discrete spectrum for each of  its six fibers  At top is the featureless looking spectrum image for the star Algol  the light of  which fell on a single fiber  Plotting the brightness of rows of pixels spanning this spec   trum produces the raw data graph  Another spectrum image of light from a mercury neon  calibration lamp  illuminating all six fibers  and its corresponding plot determines the  wavelength recorded by each pixel in the row and is used to wavelength calibrate the as   tronomical spectrum  This spectrum  however  is still highly distorted because of instru   mental effects  in particular the varying spectral sensitivity of the CCD detector  Only when  flux calibrated  see page 130  does 
22. t  defined as z   AA A  Cos   mic redshifts are often converted into  units of velocity according to v   cz for  small values of z    In addition to displacing the wave   lengths of spectral lines  Doppler shifts  can also broaden the lines if material is  moving at a range of different velocities     Some of the broadest lines result from  material swirling around and falling into  black holes at the centers of galaxies  In  such cases a velocity spread of about  1 000 kilometers per second is often  observed    The ability to measure line broadening  is directly limited by the wavelength res   olution of a spectrograph  which can be    converted into velocity units using the  Doppler shift formula given above  where  Ad is the wavelength resolution  A is the  central wavelength being observed  and  the velocity resolution v is the result of  the calculation  However  one can often  measure overall redshifts and blueshifts  with a precision much better than the  resolution limit        a  ca  Sky  amp  Telescope and  xpeditions will be there   invite you to join us  We ll  bus with the Moon   s shadow  id  where weather prospects  ent and totality lasts nearly 4  We ll also go on safari in South  est game reserves  visit majestic  ils  and view the spectacular     sky with the Milky Way high  lead and the Magellanic  jds near the meridian   ur 11 day expeditions  degin June 15th  Prices  fart at  5 325 per  erson  based on  louble occupancy   pace is limited            your 
23. the plot accurately reveal Algol   s spectral features     Hardware and Software   In addition to a spectrograph and tele   scope  a handy piece of auxiliary equip   ment is a calibration lamp  An ideal  lamp has many narrow emission lines  throughout the wavelength range of in   terest  These lines are useful for focusing  the spectrograph and determining wave   lengths within a spectrum  With our stu   dent spectrograph we use a mercury neon  lamp sold by Oriel Instruments  150  Long Beach Blvd   Stratford  CT 06615   www oriel com     Spectral analysis software is not as ma   ture as the image processing programs  widely available to today   s amateur as   tronomers  Nevertheless  you will need  analysis software to perform essential  calibration of your CCD spectra  without  which the spectra will appear distorted  and difficult to interpret  Commercial  units such as the SBIG spectrograph usu   ally come with basic software  but you  may need to supplement it    Professional astronomers often proc   ess their spectral data using IRAF  the  free image processing and data analysis  software available from the National    Optical Astronomy Observatory  http     iraf noao edu iraf web    Unfortunately   IRAF has a steep learning curve and  runs only on Unix or Linux operating  systems  Another powerful analysis pro   gram is Research Systems   s IDL  www   rsinc com   Although quite expensive  it  is user friendly and will run on any  computer platform  Free astronomy tools 
24. warfs on  the main sequence or giants that have left it  To the eye  early type stars  like Vega appear pale bluish  while late types like Betelgeuse appear  reddish  An intermediate star such as the Sun  a G dwarf  appears pale  yellow  The reason is clear from the shapes of the continuum spectra  below     the hotter the star  the more energy it emits at shorter  bluer  wavelengths  following the law of blackbody radiation    Stellar absorption lines also vary by star type  The Balmer series of  lines  including hydrogen alpha and  beta  are strongest for A stars   while later type stars are rich in metal lines such as iron  527 0 nano   meters   the sodium D doublet  about 589 5   the magnesium triplet   about 517 5   and the calcium iron blend  about 649 5   Although such  metals are also present in early type stars  at the hotter temperatures  they are more highly ionized  so the neutral metal lines disappear from  the spectrum  In the very latest type stars  molecular gas forms in the  star s cool outer atmosphere and causes broad absorption bands such        Stellar Types            Hydrogen alpha     gt   2  Z B Cassiopeiae  g     VU  Z  o Aquarii Sodi    odium cee  T Magnesium ieee p Calcium ron      KO URRA  a Cassiopeiae  K5    Aldebaran    500 550 600 650  Wavelength  nanometers        as the titanium oxide bands at about 590 and 625 nanometers and  other wavelengths     Old Age and Death  As stars grow old they bloat  oscillate  and ex   plode  leaving tiny remna
    
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