How to Read the Grazing Occultation Limit Predictions



     The description below was prepared many years ago for the old 
"US Naval Observatory (USNO)" graze predictions generated by IOTA up 
to 1993.  Since then, the predictions have instead been generated 
with Eberhard Riedel's Grazereg program.  The Grazereg limit 
predictions are very similar in form to the USNO predictions, 
containing almost exactly the same information that is described 
below.  But, for example, the exact lines of the heading where 
particular data are given are different, so the line numbers given
here should be ignored.  See grazer60.txt for Riedel's less detailed 
description of the 1999 Grazereg version 6.0 predictions, but which 
describes the newest features of the predictions.

6.1  GRAZING OCCULTATION LIMIT PREDICTIONS                       
__________________________________________                       
                                                                 
The grazing occultation limit prediction data are provided as ta-
bles  of  longitude,  latitude,  and time for the predicted path,
with the Moon's altitude and azimuth and the Sun's altitude  also
indicated.    Each  graze prediction has a heading section, which
gives information on the star and the  graze  rating.    The  lo-
cations of other observers selected to receive a particular graze
prediction are given at the end of the tabular data.  Starting in
1994,  IOTA  plans  to use a different computer program for graze
predictions.  The format will be a little different from that 
given here, but  most of the same information will be given. 
                                                                 
6.1.1  HEADING DATA                                              
___________________                                              
                                                                 
LINE 1  These include the name; super standard station letter(s);
        city; country, state, or  province;  and  maximum  travel
        radii  of the observer.  For the purpose of graze predic-
        tions, much of the world has  been  divided  into  super-
        standard  station  regions,  each 1000 miles (1609 km) in
        diameter. Different computors  (volunteers  who  run  the
        computer programs to do the actual predictions) calculate
        and  distribute  predictions  for  the different regions.
        Observers whose maximum travel radii cover more than  one
        super-standard  region  receive more than one set of pre-
        dictions, one from each region their maximum  travel  ra-
        dius covers.                                             
                                                                 
LINE 2  The  distance  in  miles of the closest point in the pre-
        dicted limit to the posiiton specified by the observer as
        his location, the Universal Time (UT) of central graze at
        that point, and the graze rating are given  here.    When
        the  program computes these quantities, it terminates the
        path at low Moon altitude or when the Sun  is  above  the
        horizon.    It may be that the actual path will be closer
        to the observer than the number specified as the  closest
        point,  but low altitude or daylight may make observation
        impossible at the true closest point.   Twilight and  low
        Moon  altitude are not considered in computing the rating
        (except for  spectacular  events),  but  interference  by
        sunlit lunar features and daylight are considered.       
                                                                 
LINE 3  The third line is normally blank, but sometimes a special
        message  appears  here,  giving  information  such as the
        computor's address, spectroscopic binary data, or a lunar
        eclipse message.                                         
                                                                 
LINE 4  This line gives the star's name (if any),  Durchmusterung
        (BD  or  CD)  number, USNO reference number (X, ZC, K, C,
        etc.),  Smithsonian  Astrophysical  Observatory   Catalog
        (SAO)  number,  and  visual magnitude, followed by the UT
        date.  The USNO reference number and the SAO  number  are
        the  numbers  that  should  be entered on observation re-
        ports.  SAO numbers less than 17 are not  true  SAO  num-
        bers,  but  are  error  codes  for  stars  in  the  Third
        Astronomische Gesellschaft Katalog (AGK3) that are not in
        the SAO catalog.  The name includes a proper name,  Greek
        letter,  Flamsteed number, variable-star designation, and
        other catalog numbers, in that order of  preference,  and
        depending  on  which,  if any, are available.   The other
        catalog numbers, indicated by the letters B., H1., G. and
        H.  (for Bode, Heis, Gould, and  Hevelius,  respectively)
        should  not  be  confused  with  the  more  commonly used
        Flamsteed numbers.  The number immediately following "BD"
        or "CD" is the "zone" number, and is the star's  approxi-
        mate declination in degrees.                             
                                                                 
LINE 5  The line starts with the percent of the Moon's disk illu-
        minated  by  the  Sun,  where  0 is new moon, 100 is full
        moon, 50 is first or last quarter, 1 to  49  is  crescent
        moon, and 51 to 99 is gibbous moon.  If the Moon's appar-
        ent  diameter is considered to be 100 units, the termina-
        tor crosses  the  Moon's  equator  at  a  point  "percent
        sunlit"  units  measured  along  the  terminator from the
        bright limb.  The equator here is not the  Moon's  actual
        equator,  but  is  usually very close to it; it is really
        the diameter line through the Moon's center  pointing  in
        the  direction of the Sun.  The term WAXING following the
        percent sunlit shows that the percent sunlit is  increas-
        ing  (between new moon and full moon), while WANING indi-
        cates decreasing percent sunlit (full moon to new  moon).
        The  term  ECLPNG  indicates  that  a lunar eclipse is in
        progress.  During a lunar eclipse, the percent sunlit  is
        the  percent  of  the Moon's diameter not in the umbra at
        the central graze time given in the second line, so  that
        0  would  imply  totality.   Note that the percent sunlit
        changes rapidly during the partial phases of an  eclipse.
        The position angle of cusp is geocentric and only approx-
        imate;  it  is  meaningless during an eclipse.  DELTAT is
        the difference, Ephemeris Time minus  Universal  Time,  a
        quantity with which observers are likely never to be con-
        cerned.    Finally,  it  is  noted  whether the path is a
        northern or southern occultation limit.                  
                                                                 
LINE 6  This line gives the error of the star's declination,  and
        the  phase  of the Moon.  The PROBABLE ERROR is a measure
        of the uncertainty in the star's position.   There  is  a
        50%  chance  that  the  star will actually be between the
        star's catalog declination + the error  and  the  catalog
        declination ¯ the error.  It should be used with the pre-
        dicted  profile  for  determining  the  distance from the
        limit line for positioning observers.                    
                                                                 
LINE 7  The SPECTRAL CLASS indicates the star's color.  Stars  of
        class  O  and  B  are blue; A, bluish-white; F, white; G,
        yellowish-white; K, orange; M, N, S, and C, red.  The Sun
        (and therefore the Moon)  is  G2,  yellow.    Bright-limb
        grazes are easier to see if there is good color contrast,
        as for B and M stars.  B, A, and F stars have the highest
        probability  of  being double.  The POSITION SOURCE gives
        the catalog from which the star's position and other  in-
        formation were taken.  
                                                                 
LINE 8    Extra lines in the heading usually are for double-star 
        data,  including  the separation(s) and position angle(s)
        for secondary and possible  tertiary  (third)  components
        from  the  primary.    If  the star is listed in Aitken's
        double-star catalog, this is indicated, since his  desig-
        nations  are  often  used  in  double-star work.   If the
        statement "THE POSITION SOURCE MUST BE CONSULTED FOR  PO-
        SITION  USED"  appears,  the  position of the primary has
        usually been used for the prediction,  unless  the  sepa-
        ration is less than about 3", and the secondary is nearly
        as  bright as the primary.  In this case, a mean position
        ( probably the center of light of the  system)  has  been
        used.  Offsets for mean position are computed by the pro-
        gram  that produces the profiles.  During lunar eclipses,
        a message describing the umbral distance is printed.     
                                                                 
6.1.2  COLUMN DATA                                               
__________________                                               
                                                                 
Twelve columns of data are given at regualar intervals of  longi-
tude  along  the graze path.   The longitude is measured westward
(negative numbers indicate east longitude) from Greenwich.       
                                                                 
WEST LONGITUDE  The longitude in degrees and decimals of degrees.
                The intervals are usually 0.125 deg.in longitude,
                or 7.5', so they are at the margins of  7.5' USGS
                topographic maps.  Data at 2.5', 5.0', and 10.0' 
                intervals  are  also  available.    Below are    
                listed the fractions  of  degrees  at  0.125  and
                their equivalents in minutes and seconds for ref-
                erence with the topographic maps.                
                                                                 
                +--------------+-------------+                   
                |    0.875     |   52' 30"   |                   
                |    0.750     |   45  00    |                   
                |    0.625     |   37  30    |                   
                |    0.500     |   30  00    |                   
                |    0.375     |   22  30    |                   
                |    0.250     |   15  00    |                   
                |    0.125     |   07  30    |                   
                |    0.000     |   00  00    |                   
                +--------------+-------------+                   
                                                                 
                 Table 1.  Fractional  Degree                    
                           Equivalents                           
                                                                 
NORTH LATITUDE  The degrees  and  minutes  of  geodetic  latitude
                where  the  predicted sea level limit crosses the
                longitude meridian of WEST LONGITUDE.  Minutes of
                arc are probably easiest to use with  topographic
                maps;  if  desired, the seconds of arc can be de-
                termined by multiplying the decimal part  of  the
                minutes by 60.                                   
                                                                 
UNIVERSAL TIME  The  coordinated  universal time (UTC) of central
                graze as seen from the  longitude  and  latitude.
                This  is the time when the star is closest to the
                center of the Moon as seen from that location.   
                                                                 
MOON ALTITUDE   Altitude of the star being occulted.   The  alti-
                tude is zero at the horizon and 90d at the zenith
                and  is equal to 90d minus the zenith angle.  At-
                mospheric refraction is  not  considered  in  the
                calculation of the altitude.                     
                                                                 
MOON AZIMUTH    Azimuth  of the star being occulted.  The azimuth
                is measured eastward from due north, so that  90d
                is  due  east, 180d is due south, and 270d is due
                west.                                            
                                                                 
TANZ            The tangent of the zenith angle of the star.   It
                is  also  the  cotangent  of MOON ALTITUDE and is
                used with MOON AZIMUTH to compute the amount  the
                sea level limit must be moved for heights signif-
                icantly  above  mean sea level.   This correction
                should be performed when the observer's height is
                more than  200  meters  (aproximately  600  feet)
                above sea level.  This is explained in "Elevation
                Correction" on page 35.                          
                                                                 
SUN ALTITUDE    The Sun's altitude in degrees and tenths of a de-
                gree.    It is negative when the Sun is below the
                horizon and positive when above. Atmospheric  re-
                fraction is not taken into account, so 0.6 deg.  
                should  be added when the altitude is within a   
                degree of the horizon.  Astronomical twilight be-
                gins when the Sun reaches -18d, nautical twilight
                begins when the Sun's altitude is -12d, and civil
                twilight when the Sun reaches -6d.               
                                                                 
PA OF GRAZE     The  position  angle  of central graze in degrees
                and tenths, measured eastward  along  the  Moon's
                limb from north.  North on the Moon's disk is de-
                fined  to  be  from  the right ascension meridian
                passing from the center of the Moon to  the  cur-
                rent (apparent) North Celestial Pole (NCP).      
                                                                 
CUSP ANGLE      The  angle  measured  in  degrees around the limb
                from the cusp to  the  point  of  central  graze,
                where  N  or  S  indicate  whether it is from the
                north or from the south cusp,  respectively.    A
                negative  number indicates that the point of cen-
                tral graze is on the sunlit  limb  of  the  Moon,
                while  a positive number indicates the dark limb.
                The cusp is the intersection  of  the  terminator
                with  the  Moon's  limb, 90þ around the limb from
                the direction to the Sun from the center  of  the
                Moon.    High  mountains  beyond this theoretical
                cusp  often  catch  sunlight.      During   lunar
                eclipses,  the  cusp  angle is meaningless and is
                replaced by the UMBRAL DISTANCE, the distance  of
                the  star from the center of the umbra, expressed
                as a percent of the radius of the umbra.  U  dis-
                tinguishes  the  umbral  distance from the N or S
                given with cusp angles.                          
                                                                 
6.1.3  ENDING DATA                                               
__________________                                               
                                                                 
Following the columns of data are statements indicating the  ver-
sion  of the prediction program used, the prediction data source,
and the name of the computor who ran the program.   The last  in-
formation  given  is  a  result  of the observer scan, indicating
which other observers have been selected to receive these predic-
tions, if any.   In the scan,  the  observer's  specified  travel
radii are given in miles after the latitude.  An asterisk follow-
ing the spectacular radius signifies those who expect to organize
expeditions  more  often  than join expeditions set up by others.
The super standard station, in which the observer's  position  is
located,  is  given after his name.  The time of closest approach
is in hours and decimals of an hour.                             
                                                                 
Some, but not all, versions of the graze prediction programs gen-
erate a one-page summary of all grazes.   The observer's  station
coordinates  are given in the heading.  The summary includes cir-
cumstances at the point of closest approach, including the longi-
tude and latitude of the closest point given in  the  main  list.
                                                                 
6.1.4  ELEVATION CORRECTION                                      
___________________________                                      
                                                                 
MOON  AZIMUTH  and  TANZ can be used to make corrections for ele-
vations above sea level.  If the elevation above sea level  is  h
(in  feet  or  meters), the magnitude of the correction to be ap-
plied, d, is given by the formula                                
                                                                 
d = (TANZ)h                                                      
                                                                 
, where d is applied in the direction of the Moon's azimuth.   If
the  limit  is  plotted and its direction or azimuth is measured,
the distance, x, that the limit should  be  shifted,  x  measured
perpendicular to the limit, is given by the formula:             
                                                                 
                     x = sin (D) d = sin (D) (TANZ) h            
                                                                 
where  D is the difference of the Moon's and the limit's azimuth.
When the altitude of the star is small, TANZ is large, and  D  is
small (the azimuth of the limit is nearly equal to MOON AZIMUTH).
For  grazes  north  of latitude +31d, note that shifts are always
southward (unless the elevation is below sea level).             


   International Occultation Timing Association, European Section

   Dr. Eberhard Riedel      Schuberstr. 7
                            D - 80336 Muenchen        November 1999

                  GRAZEREG Version 2000 (GRAZREG0.EXE)
                ----------------------------------------

    The GRAZEREG 2000 program, that is now named 'GRAZREG0.EXE', was designed
    to cross-reference between yearly grazing occultation binary data and any
    ASCII file of station data to produce output files containing all grazing
    occultation events for the specified observers within the given region
    including profile plots. The use of former versions of GRAZEREG has become
    obsolete with version 2000.

    The improvements of GRAZEREG 2000 that observers will notice are:
      - The SAO-number was added to the headlines of each event.
      - The observed data used by ACLPPP was updated and adjusted to better
        fit the GRAZREG0 profile data. So an extra run of ACLPPPIN will not
        be necessary in this respect. Within the Cassini regions no Watts
        profile data is shown anymore, since it has led to some confusion
        in the past. This is a consequent step due to the fact that there
        actually does not exist any such data for these regions.

    Some computors still find the use of the ACLPPP program important after
    the prediction run with GRAZREG0. The only ACLPPP items not covered by
    GRAZREG0 are:
      - Empirical corrections to the Watts data. These are considered not to
        be very reliable and therefore only sometimes yield an improvement of
        the profile. GRAZREG0 rather relies on observed and affirmed profile
        data.  [Note added by D. Dunham:  The Grazreg0 profiles now agree 
        with the ACLPPP profiles to within about 0.1", in any case to less 
        than the approximate 0.2" best accuracy of the profile data, for 
        about 80% of the grazes.  For the rest, differences larger than 0.5" 
        are rare.]

      - Plotting of extra profile heights for double/multiple stellar systems
        (a few cases only where this can be plotted with the scale used).
        Since GRAZREG0 uses and shows three distinct sources for profile data
        a plotting similar to ACLPPPIN cannot be accomplished. But with the
        numerical data given for stellar components an estimation is always
        easy.

    [Note added by D. Dunham:  Especially for the last reason generation of 
    ACLPPP profiles is recommended.  For single stars, we will be 
    interested in knowning which profiles, Grazreg0 or ACLPPP, give a 
    better match to the observations when the two profiles have significant 
    differences.] 

    Every prediction file can be copied on a diskette or a printer to be
    mailed to the observer. In case the observer wants a printout, the prin-
    ter format must be set first.

    The lines in the prediction files never exceed a length of 78 characters.
    So if paper measuring 8 inches horizontally is used, the printer must be
    set to 12 characters per inch (cpi), if it has 12 inches across 
    instead, also 10 cpi are possible.  If adjustable, 80 or 90 lines per 
    page should be selected.  Furthermore letter quality print and sanserif 
    characters are suggested. 


    THE OUTPUT
    ----------

    1. The observers heading
    ------------------------

    The first two lines give the year of the calculation, and name, place,
    geographic position of the observer and his travel radius.

    2. Graze Overviews
    ------------------

    The prediction list for every single observer is preceded by a summary
    list that gives an overview on all occultations within the observer's
    travel radius. If graze events of bright stars outside of the observer's
    travel radius are included, there is also a second overview list normally
    showing all grazes of stars brighter or equal 4.5 mag. that occur within
    the complete Super Standard Region. Sometimes though the limiting stellar
    magnitude may be chosen brighter and/or the area covered may be decreased
    to reduce the amount of data.

    The column 'H/P/S#' contains the position source catalog number of the
    star. If the number is preceeded by an 'H' it is the Hipparcos catalog,
    'P' is a star from the PPM catalog and 'S' is a SAO-star. There is no
    place for Tycho numbers in this column.

    The column 'D(KM)' resp. 'D(MI) has the least distance to the graze path
    in kilometers or miles, and the 'UT' refers to this very location of the
    path.

    In the column 'CUSP' the Cusp Angle is given as the absolute difference
    between the position angle of the cusp and the position angle of graze.
    The letter 'D' after the angle denotes a graze on the dark lunar limb,
    the letter 'B' one on the bright side. 'T' marks a graze close to the
    terminator of the geometrically dark lunar limb within 1 degree or less
    of the geometrical terminator.

    3. The graze path prediction
    ----------------------------
    The heading for each graze shows three columns
    named 'EVENT', 'STAR' and 'MOON'.

    The field for the star number now generally first gives the number of the
    catalog that was used as the position and proper motion source. The obser-
    vers should be advised to only report this number to ILOC. Of course at
    present this is not possible in all cases, but ILOC will hopefully change
    the format real soon.

    The format of the Tycho numbers (4 digits, 5 digits and 1 digit) leaves
    leading zeros or blanks away in the output. The stellar magnitude is
    'visual' unless followed by 'B' (B magnitude).

    In case of a graze during a lunar eclipse no position angle of cusp is
    given and the percentage of the sunlit Moon refers to the fraction of the
    Moon's diameter outside of the umbra.


    Latitude and Universal Time:
    ----------------------------
    The graze path coordinates and time values are corrected for the chosen
    local geodetic datum and for refraction. The only possible offset of the
    graze path is therefore caused by the lunar limb profile and by mostly
    neglectable height differences of geoid contours of the International
    Reference Spheriod.

    These corrections make it possible to plot highly precise graze paths
    into the maps available to the local observer. Small shifts may only
    sometimes occur near the edges of a geodetic datum region due to some
    overlapping areas.

    Since the path values refer to mean sea level, the path has to be shif-
    ted to the elevation of the observing site towards the lunar azimut
    using TANZ.


    Cusp Angle:
    -----------
    The Cusp Angle and the letter describing the illumination of the lunar
    limb (D, B or T) only show the geometrical situation. Thus a bright limb
    event at crescent phases may very well occur on the dark limb and vice
    versa. A better idea of the situation is provided by the profile predic-
    tion.

    A few grazes are included occurring on the bright limb with their central
    graze angle (and are unobservable there) but have a possible event at a
    different position angle where the Watts Data yield a mountain in dark-
    ness so at least one dark limb disappearance and reappearance of the star
    can be suspected.

    The rightmost column in the graze path prediction has a 'T' in the head-
    line and gives letters 'A', 'B' or 'C' for the required telescope aper-
    ture. 'A' means 4-inch telescopes are sufficient, 'B' denotes apertures
    up to 6 inches, and 'C' suggests telescopes well above 6 inches.


    Lunar Eclipses:
    ---------------
    Instead of a Cusp Angle a value of the 'Umbral Distance' in degrees and
    decimals is given. Umbral distance in this case means the distance of
    the grazed star from the edge of the umbra, not from its center.

    Used Geodetic Datum and Star Catalog:
    -------------------------------------
    Directly following the graze path data the geodetic datum for the longi-
    tude/latitude values and the used stellar catalog is stated.


    Credit Line:
    ------------
    Below that the GRAZEREG version number and the computor's name(s) are
    given in a credit line.


    4. Observer Scan
    ----------------
    All other observers within the same Super Standard Region, that have the
    same event inside their travel radius are listed with their location and
    distance and time of their closest approach.


    5. Profile Plot
    ---------------

    If requested, each graze path prediction within the observer's travel ra-
    dius (not outside of it) is directly followed by the profile plot of that
    event. It is always plotted for the location and time of the observer's
    closest approach to the graze path, centering the corresponding position
    angle of graze in the headline 'PA' and the central Watts angle in line
    'WA'.

    The mean lunar limb always agrees with the 0 km-line, which is the predic-
    ted limit, at central graze, because the graze path data already includes
    the shifts due to geodetic datum and refraction. The mean lunar limb is
    plotted with the letters 'D' for the dark limb and 'B' for the bright
    limb. During a lunar eclipse the mean lunar limb is given with letter 'E'.

    The terminator is shown with 'T's and is given at its geometrical posi-
    tion for lunar phases between 21 degrees and 339 degrees. At crescent
    phases the terminator is plotted at a decreased position angle allowing
    for the retreat of the cusp. A 'Worst Terminator' is not included in the
    plots, instead the letter 'W' stands for the worst case of lunar limb il-
    lumination referring to possible mountains of a height of 2 arc seconds.
    The worst limb is geometrically a dark limb and always starts where the
    terminator hits the limb.

    The lunar profile is continuously plotted with 'o's, 'x's and asterisks (*)
    thus making use of three separate data sets:

    - The Watts data (with corrections according to Yoshio Kubo, Tokyo) are
      identified by an
                                        'o'.

    - All observed limb data also given with ACLPPP as '3' or '4' are 
      identified by an
                                        'x'.

    - All observed limb data now published as MOONLIMB data are identified by
      an
                                        '*'.


    The MOONLIMB data set is rather small yet so only a few plots show those
    values. On the other hand the MOONLIMB data was checked for consistency,
    so only the most reliable data was adopted.

    When all of these three data sets are shown together in one profile the
    plots sometimes look a little crowded. It is not always possible to connect
    the profile points by a smooth line. Sometimes the coverage is so dense,
    that with the poor resolution of the profile plots there is more than one
    symbol of that limb data in one column, and sometimes there are wide gaps
    in the observed data.  Any connection between limb structures of different
    symbols is not recommended.

    But even with a rough connection of the profile points there is a good
    chance to estimate the favorable location for an observation. The observed
    data ('*' and 'x') always has to have priority, and is the only data shown
    in the Cassini regions, where Watts data does not exist.

    The table below the profile gives the time and location for which the pro-
    file is valid and the angles of libration used here. The 'VERTICAL SCALE'
    value corresponds to the former VPS-value, but is calculated in a diffe-
    rent way from the actual topographic situation. All corrections to obser-
    ving locations derived from this value always have to be made perpendicu-
    lar to the graze path heading (see value 'HEADING', which is the azimut
    direction of the lunar motion on the earth's surface).

    The value 'LUNAR VELOCITY' is equal to the former HPS-value and gives the
    rate of lunar motion per minute relative to position angles on the lunar
    limb.

    Any graphic display of secondary or tertiary stars was left away to leave
    an easy estimate to the observer using the separations and position angles
    given in the path predictions.

                                                   Eberhard Riedel


6.2.1  PROFILE EXPLANATION (for ACLPPP profiles)                 
__________________________                                       
                                                                 
PROFILE HEADING DATA  The  following  information is found in the
                      heading:                                   
                                                                 
                      LINES 1-2  These are the scale in Watts an-
                                 gles.    The values on the scale
                                 are printed in one-degree inter-
                                 vals from  the  Watts  angle  of
                                 central graze.                  
                                                                 
                      LINE 3     This  is  the  time from central
                                 graze in  one-minute  intervals.
                                 Vertical  bars are generated for
                                 each minute  through  the  plot,
                                 with  the  one for central graze
                                 so labeled.    Negative  numbers
                                 indicate  minutes before central
                                 graze, and positive numbers min-
                                 utes after central graze.       
                                                                 
PROFILE PLOT          Horizontal bars are drawn across  the  plot
                      at regular intervals to help in scaling the
                      distance  from the predicted limit.  One of
                      the lines is the predicted  limit,  and  is
                      labeled  as  "PREDICTED LIMIT" on the right
                      side, and "0" on the left side.  The verti-
                      cal scale on the right side is  the  number
                      of  miles  or  kilometers  from  the limit,
                      while the scale on the left side is seconds
                      of arc from the limit.  A negative value is
                      south of the limit and a positive value  is
                      north of the limit.                        
                                                                 
                      The  actual  profile  data  are a series of
                      letters, numbers, and  asterisks  that  can
                      look  busy and bewildering.  Some observers
                      have  found  that  drawing  smooth   curves
                      through the points for the limb and for the
                      predicted profile help in understanding the
                      plot.    There  are at least two curves re-
                      presented on each plot, and sometimes more.
                      Each plot has a curve for the  smooth  mean
                      limb  of  the  Moon, and a more jagged plot
                      for the predicted profile.    In  addition,
                      the  terminator  may appear on the plot, if
                      it is near the central graze.  If the  star
                      is  double, and both components will graze,
                      the profile for the secondary  (and  terti-
                      ary,  if  there is one) component will also
                      be provided.                               
                                                                 
                      The codes for  the  limbs  and  terminators
                      are:                                       
                                                                 
                      D  dark limb of the Moon                   
                                                                 
                      B  bright limb of the Moon                 
                                                                 
                      T  terminator                              
                                                                 
                      W  "worst"   terminator,   where   two-mile
                         (3-km) high lunar mountain peaks can  be
                         sunlit.  Areas enclosed by W's will usu-
                         ally  be sunlit at the south limb, where
                         high mountains are common, and will usu-
                         ally be dark at  the  relatively  smooth
                         north limb                              
                                                                 
                      The codes for the profile points are:      
                                                                 
                      *  good limb correction, typically accurate
                         to 0.15"
                                                                 
                      1  fair limb correction, accurate to 0.3"
                                                                 
                      2  meaningless  limb correction, either ex-
                         treme librations or in the  Cassini  re-
                         gion  (see  "The  Lunar Profile" on page
                         8).                                     
                                                                 
                      3  good limb correction from previously ob-
                         served graze data, accurate to 0.4"
                                                                 
                      4  poor limb correction from previously ob-
                         served graze data, accurate to  1"; most
                         of the Cassini regions have been crudely
                         "mapped"   with   previously    observed
                         grazes,  so 3's and 4's usually dominate
                         the profile when a graze occurs in these
                         regions                                 
                                                                 
                      5  good limb correction with  an  empirical
                         correction applied (* [or 0] + 5)        
                                                                 
                      6  fair  limb  correction with an empirical
                         correction applied (1 + 5)              
                                                                 
                      7  meaningless limb correction with an  em-
                         pirical correction applied (2 + 5)      
                                                                 
                      P  shifted limb of the primary component of
                         a multiple star (when the star is not at
                         the  position  used for the limb predic-
                         tions, which is often the  case  when  a
                         center-of-light,  or  mean  position, is
                         used)                                   
                                                                 
                      S  shifted limb of the secondary  component
                         of a multiple star                      
                                                                 
                      R  shifted  limb  of the tertiary component
                         of a multiple star                      
                                                                 
                      When drawing  curves  through  the  plotted
                      points, the following groups should be con-
                      nected together.  A different color pen for
                      each group makes the profile more readable.
                                                                 
                      B AND T  enclose bright area of the Moon   
                                                                 
                      D        encloses dark mean limb           
                                                                 
                      W        encloses  area  where sunlit peaks
                               may exist and cause observing dif-
                               ficulties ("worst" terminator)    
                                                                 
                      *,1-7    the predicted limb for  mean  star
                               position                          
                                                                 
                      P        the  predicted  limb for a primary
                               star not at the mean star position
                                                                 
                      S        the predicted limb for a secondary
                               component                         
                                                                 
                      R        the predicted limb for a  tertiary
                               component                         
                                                                 
                      At  the  bottom  of  the  profile are seven
                      lines of additional information  about  the
                      profile and the star.                      
                                                                 
                      LINE 1     The date, UT hour  and  latitude
                                 libration of the graze is given.
                                                                 
                      LINE 2     The star number in the ZC  or  X
                                 catalog, the version of the USNO
                                 profile  prediction program that
                                 generated the data for the plot,
                                 and the longitude  libration  of
                                 the  graze  are given.
                                                                 
                      LINE 3     This   line   gives   the  limit
                                 (northern,  southern)   of   the
                                 graze and  the vertical  profile
                                 correction  (VPC) in  seconds of
                                 arc (north is positive).
                                                                 
                      LINE 4     The Watts angle of central graze
                                 (for  the  point  in  the  limit
                                 closest  to the observer), graze
                                 height (of the  predicted  limit
                                 from the mean limb in seconds of
                                 arc,  with positive values indi-
                                 cating a  shift  away  from  the
                                 center  of  the  Moon), the cusp
                                 angle, and the name of the  per-
                                 son  running the profile program
                                 are given.                      
                                                                 
                      LINE 5     The  horizontal  profile   scale
                                 (HPS)  in  minutes of  time  per 
                                 degree of Watts  angle, the pos-
                                 ition angle for the point in the
                                 limit closest  to the  observer,
                                 and the person for whom the pro-
                                 file  was  produced  are  given.
                                                                 
                      LINE 6     The vertical profile scale (VPS)
                                 in  seconds of  arc per  mile or 
                                 per kilometer,  the distance  of
                                 the observer to  the limit line,
                                 and the observer's home location
                                 are given.        
                                                                 
                      LINE 7     The  empirical  corrections  ap-
                                 plied are identified.           
                                                                 
                      LINES 8-9  Additional information is  given
                                 if  the  star is multiple.   The
                                 type (double, triple), the  dis-
                                 tance  of  the  primary from the
                                 mean  position,  the  magnitude,
                                 separation,  position angle, and
                                 the  vertical   and   horizontal
                                 shift  in  the  profile for each
                                 component are listed.   Vertical
                                 shifts  are  given  in miles (or
                                 kilometers) and seconds of  arc,
                                 horizontal  shifts in time.  In-
                                 formation  is  given  for compo-
                                 nents that do not  show  on  the
                                 plot.                           



         Below is a description by Eberhard Riedel concerning the improved
         profile plots generated by GRAZEREG. Good luck for 1999.
        

       GRAZEREG 5.0 shows more features on the lunar limb by utilizing all
       available data from observed grazes.  This option so far was only
       possible by making an extra run with D. Dunham's 'ACLPPP'-program
       during the last years, also using Mitsuru Soma's reduction work.
       Furthermore some extra lunar limb data has been published by Dietmar
       Buettner and Reinhold Buechner, Germany, after another thorough
       reduction work, giving highly reliable limb data.  Their 'MOONLIMB'
       data only improves some northern lunar limb regions at present, whereas
       southern regions will be added in the near future.

       Compared to ACLPPP the only thing NOT being considered by GRAZEREG
       profiles is a limb correction for double stars.  Neglecting this the
       use of ACLPPP can be abandoned by the computors.  GRAZEREG will con-
       sider double stars in the future in accordance with a revision of the
       available double star data.

       GRAZEREG 5.0 now takes into account the internationally agreed conven-
       tion concerning geographical longitudes:

          longitudes west of Greenwich go from 0 to -180 degrees,
          longitudes east of Greenwich go from 0 to +180 degrees.

    THE PROFILE OUTPUT
    ------------------

    Since two more sets of limb data are being used now besides the common
    Watts data, two more signs can be found in the profile plots for precise
    distinction.

    - The Watts data (with the Kubo correction) are no longer identified by an
      astrisk, but by an
                                        'o'.

    - All observed limb data formerly also given with ACLPPP are identified by
      an
                                        'x'.

    - All observed limb data now published as MOONLIMB data are identified by
      an
                                        '*'.


    The MOONLIMB data set is rather small yet so only a few plots show those
    values. On the other hand the MOONLIMB data was checked for consistency,
    so only the most reliable data was adopted.

    When all of these three data sets are shown together in one profile the
    plots sometimes look a little crowded. It is not always possible to connect
    the profile points by a smooth line. Sometimes the coverage is so dense,
    that with the little resolution of the profile plots there is more than one
    symbol of that limb data in one column, and sometimes there are wide gaps
    in the observed data. Any connection between limb structures of different
    symbols is not recommended though.

    But even with a rough connection of the profile points there now is a much
    better chance to estimate the favorable location for an observation. The
    observed data ('*' and 'x') always has to have priority, especially con-
    cerning the Cassini regions.

                                                   Eberhard Riedel



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