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    <logical_identifier>urn:nasa:pds:magellan_gvdr:data_gvdr:gvrdf_north</logical_identifier>
    <version_id>1.0</version_id>
    <title>Magellan GVDR North Polar Stereographic Radiometry Data Table: GVRDF</title>
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    <Investigation_Area>
       <name>Magellan</name>
       <type>Mission</type>
       <Internal_Reference>
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      <name>Venus</name>
      <type>Planet</type>
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        <mgn:stop_orbit_number>4367</mgn:stop_orbit_number>
        <mgn:producer_institution_name>Stanford Center for Radar Astronomy</mgn:producer_institution_name>
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            <cart:north_bounding_coordinate unit="deg">90.00</cart:north_bounding_coordinate>
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                <cart:Polar_Stereographic>
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                  <cart:latitude_of_projection_origin unit="deg">90</cart:latitude_of_projection_origin>
                </cart:Polar_Stereographic>
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                <cart:planar_coordinate_encoding_method>Coordinate Pair</cart:planar_coordinate_encoding_method>
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  <File_Area_Observational>
    <File>
      <file_name>gvrdf.tab</file_name>
      <creation_date_time>1994-05-10T22:45:17.000</creation_date_time>
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    <Table_Binary>
      <local_identifier>Table</local_identifier>
      <offset unit="byte">0</offset>
      <records>233947</records>
      <description>
        The GVRDF file contains measures of the surface's thermal radiative efficiency derived from the side-looking 
        microwave radiometer. (The RDF acronym stands for 'Radiometry Data File', one of the data files in the ARCDR 
        data product. Within the software documentation, the acronym EDF, or 'Emissivity Data File', from the SCVDR data 
        product, may also be used because of its similarity to the RDF.)                                      
        
        This file is a table; each row in the table summarizes RDF results in a particular radiometry viewing geometry. 
        The location and number of rows associated with each pixel are given by the corresponding values of 'RDF Start' 
        and 'RDF Samples' in GVPIDX.TAB.                          
        
        See the descriptions in the GVTIDX.XML and GVPIDX.XML files for the overall organization of the GVDR. These 
        files describe the division of the planet into pixels and organization of pixels into rectangular tiles.
      </description>
      <Record_Binary>
        <fields>6</fields>
        <groups>0</groups>
        <record_length unit="byte">10</record_length>
        <Field_Binary>
          <name>Sample Count</name>
          <field_number>1</field_number>
          <field_location unit="byte">1</field_location>
          <data_type>UnsignedMSB2</data_type>
          <field_length unit="byte">2</field_length>
          <description>
            The total number of radiometer footprints used to compute the estimates of thermal emission properties given 
            in this row of the table. The quantities given in later columns pertain only these footprints. Any 
            radiometry footprint that is partially or completely contained inside this pixel is included. Each footprint 
            is derived from a single record in the ARCDR RDF file. The footprints used in this row share a common 
            observational geometry, given explicitly by the columns 'Azimuth Angle', 'Incidence Angle', and 
            'Polarization Angle', and implicitly by the pixel address. This pixel may have entries in other rows, and 
            if so at least one of the three angles will be different from this row.
          </description>
        </Field_Binary>
        <Field_Binary>
          <name>Azimuth Angle</name>
          <field_number>2</field_number>
          <field_location unit="byte">3</field_location>
          <data_type>UnsignedMSB2</data_type>
          <field_length unit="byte">2</field_length>
          <unit>degree</unit>
          <scaling_factor>0.00549367</scaling_factor>
          <description>
            The average azimuthal angle of the radiometry observations. The azimuthal angle is defined in two ways, 
            depending on the image map projection in use.                                       
            
            For the Sinusoidal and Mercator map projections, it is defined as the local azimuth direction toward the 
            spacecraft when viewed by an observer at the boresight intercept point on the planet surface, in degrees 
            clockwise from North. For example, if the spacecraft appears to be due east of the observer, the azimuth 
            angle is 90 degrees. Since this definition becomes useless near the poles, this field is set to zero above 
            85 degrees of latitude for the Sinusoidal projection. The Mercator projection does not extend to such high         
            latitudes.                                                                
            
            For the Polar Stereographic map projection, the azimuth angle is expressed in the cartesian map coordinates 
            rather than in geographic coordinates. This makes the azimuth angle more useful for interpretation because 
            its meaning no longer varies with position. First, the azimuth direction is computed as above. Then, this            
            direction is transformed to a direction in map coordinates; the transformed vector is parallel to the vector 
            originating at the framelet and pointing in the azimuth direction. This vector is expressed in degrees 
            clockwise from the +Y (up) direction on the map. For example, if the north polar projection has 0 degrees of         
            longitude at the bottom, then a framelet at 90 degrees of longitude with a true azimuth of 90 degrees 
            (spacecraft to the east) has a transformed azimuth of 0 degrees. The vector from the framelet to the 
            spacecraft appears to point in the +Y direction on the map.           
            
            The relationship between true azimuth and transformed azimuth is simple. For the north polar projection with 
            0 degrees longitude at the bottom,                                                               
            CARTESIAN_AZIMUTH = GEOGRAPHIC_AZIMUTH - LONGITUDE                
            and for the south polar projection with 0 degrees longitude at the top,                                                                      
            CARTESIAN_AZIMUTH = GEOGRAPHIC_AZIMUTH + LONGITUDE                
            
            As discussed in the GVHDR.LBL file, the group of radiometry observations used in this row forms a 'cohort'.  
            Within a cohort, the azimuth angle of each observation falls within a single interval of size 360/N, where 
            N is the value of 'RDF Cohort Azimuth Count' from the GVHDR file. We can reconstruct that interval by noting 
            that the average azimuth angle of all the observations (given in this column) falls within the same interval.       
            Specifically, we find a value of I that satisfies                         
            
            I * 360.0 / N less than or = 'Azimuth Angle' less than (I+1) * 360.0 / N            
            where                                                                     
            N = 'RDF Cohort Azimuth Count'                                  
            I = integer between 0 and N-1 inclusive                       
            
            The azimuth angles of all observations in the cohort lie in the interval [I*360 , (I+1)*360], and their 
            average value is given in         
            this column.
          </description>
        </Field_Binary>
        <Field_Binary>
          <name>Incidence Angle</name>
          <field_number>3</field_number>
          <field_location unit="byte">5</field_location>
          <data_type>UnsignedMSB2</data_type>
          <field_length unit="byte">2</field_length>
          <unit>degree</unit>
          <scaling_factor>0.00137342</scaling_factor>
          <description>
            The average emission angle of the radiometry observations. This is the angle between the local mean surface           
            normal and the direction of the emitted radiation on its way to the spacecraft. Normal emission is thus 
            0 degrees, and grazing emission is 90 degrees. This quantity is obtained directly from the ARCDR RDF field 
            'Incidence_Angle' (alias RR_ANGLE).                               
            
            As discussed in the GVHDR.XML file, the group of radiometry observations used in this row forms a 'cohort'.  
            Within a cohort, the incidence angle of each observation falls within a single interval of size 90/N, where 
            N is the value of 'RDF Cohort Incidence Count' from the GVHDR file. We can reconstruct that interval by 
            noting that the average incidence angle of all the observations (given in this column) falls within the same 
            interval. Specifically, we find a value of I that satisfies                         
            
            I * 90.0 / N less than or = 'Incidence Angle' less than (I+1) * 90.0 / N            
            where                                                                     
            N = 'RDF Cohort Incidence Count'                                
            I = integer between 0 and N-1 inclusive                       
            
            The incidence angles of all observations in the cohort lie in the interval [I*90 , (I+1)*90], and their 
            average value is given in this column.
          </description>
        </Field_Binary>
        <Field_Binary>
          <name>Polarization Angle</name>
          <field_number>4</field_number>
          <field_location unit="byte">7</field_location>
          <data_type>UnsignedByte</data_type>
          <field_length unit="byte">1</field_length>
          <unit>degree</unit>
          <scaling_factor>0.72</scaling_factor>
          <value_offset>-90</value_offset>          
          <description>
            The average polarization angle of the received radiation. The polarization angle is defined to be 
            +/- 90 degrees for H-H polarization (+90 is nominal for mission cycle 1) and 0 degrees for V-V polarization. 
            Nearly all orbits maintained an almost constant H-H or V-V polarization angle; the values of 90 or 0      
            reported for these orbits are only nominal and are not based on actual geometric calculations. Only values 
            that differ from 90 or 0 have been actually computed.
          </description>
        </Field_Binary>
        <Field_Binary>
          <name>Emissivity Variance</name>
          <field_number>5</field_number>
          <field_location unit="byte">8</field_location>
          <data_type>UnsignedByte</data_type>
          <field_length unit="byte">1</field_length>
          <scaling_factor>0.016000</scaling_factor>
          <value_offset>-5</value_offset>
          <description>
            The unbiased estimate of the variance of the emissivity. The emissivity is obtained from the 
            'Surface_Emissivity' field (alias RR_EMISS) in the ARCDR. The variance estimate gives an indication of the 
            variation in emissivity across the pixel. The unbiased estimate is obtained from the following formula:                 
            
            'Emissivity Variance' = 1/(N-1) * ( SUM(X_i^2) - 1/N * [SUM(X_i)]^2 )   
            
            where                                                                     
            
            N   = 'Sample Count' above                                              
            X_i = samples of radius RR_EMISS, i = 1,2,...,N.                      
            
            The value in the table is the base-10 logarithm of the actual value. To recover the actual value, apply the 
            scaling and offsets given above to the column value, and raise 10 to this power.
          </description>
        </Field_Binary>
        <Field_Binary>
          <name>Emissivity</name>
          <field_number>6</field_number>
          <field_location unit="byte">9</field_location>
          <data_type>UnsignedMSB2</data_type>
          <field_length unit="byte">2</field_length>
          <scaling_factor>0.000015260</scaling_factor>
          <description>
            The average emissivity estimate. The emissivity value for each footprint is obtained directly from the         
            ARCDR RDF field 'Surface_Emissivity' (alias RR_EMISS). At the moment, the measurements are not weighted 
            based on the footprint center's distance from the pixel center.
          </description>
        </Field_Binary>
      </Record_Binary> 
    </Table_Binary>
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      <file_name>gvrdf.lbl</file_name>
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