<?xml version="1.0" encoding="UTF-8" standalone="no"?>

<?xml-model href="https://pds.nasa.gov/pds4/pds/v1/PDS4_PDS_1I00.sch" schematypens="http://purl.oclc.org/dsdl/schematron"?>
<?xml-model href="https://pds.nasa.gov/pds4/disp/v1/PDS4_DISP_1I00_1510.sch" schematypens="http://purl.oclc.org/dsdl/schematron"?>
<?xml-model href="https://pds.nasa.gov/pds4/cart/v1/PDS4_CART_1I00_1960.sch" schematypens="http://purl.oclc.org/dsdl/schematron"?>

<Product_Observational xmlns="http://pds.nasa.gov/pds4/pds/v1" 
    xmlns:cart="http://pds.nasa.gov/pds4/cart/v1" 
    xmlns:disp="http://pds.nasa.gov/pds4/disp/v1" 
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 
    xsi:schemaLocation="http://pds.nasa.gov/pds4/pds/v1 https://pds.nasa.gov/pds4/pds/v1/PDS4_PDS_1I00.xsd   http://pds.nasa.gov/pds4/disp/v1 https://pds.nasa.gov/pds4/disp/v1/PDS4_DISP_1I00_1510.xsd   http://pds.nasa.gov/pds4/cart/v1 https://pds.nasa.gov/pds4/cart/v1/PDS4_CART_1I00_1960.xsd">
  <Identification_Area>
    <logical_identifier>urn:nasa:pds:grail_gravity_derived:data_rsdmap:gggrx_1200a_geoid_l660</logical_identifier>
    <version_id>1.0</version_id>
    <title>GRAIL Gravity Image: gggrx_1200a_geoid_l660</title>
    <information_model_version>1.18.0.0</information_model_version>
    <product_class>Product_Observational</product_class>
    <Modification_History>
      <Modification_Detail>
        <modification_date>2022-08-10</modification_date>
        <version_id>1.0</version_id>
        <description>PDS4 migrated product.</description>
      </Modification_Detail>
    </Modification_History>
  </Identification_Area>
  <Observation_Area>
    <Time_Coordinates>
      <start_date_time>2012-03-01Z</start_date_time>
      <stop_date_time>2012-12-14Z</stop_date_time>
    </Time_Coordinates>
    <Investigation_Area>
      <name>Gravity Recovery and Interior Laboratory</name>
      <type>Mission</type>
      <Internal_Reference>
        <lid_reference>urn:nasa:pds:context:investigation:mission.gravity_recovery_and_interior_laboratory</lid_reference>
        <reference_type>data_to_investigation</reference_type>
      </Internal_Reference>
    </Investigation_Area>
    <Observing_System>
      <Observing_System_Component>
        <name>Gravity Recovery and Interior Laboratory A</name>
        <type>Host</type>
        <Internal_Reference>
          <lid_reference>urn:nasa:pds:context:instrument_host:spacecraft.grail-a</lid_reference>
          <reference_type>is_instrument_host</reference_type>
        </Internal_Reference>
      </Observing_System_Component>
      <Observing_System_Component>
        <name>Gravity Recovery and Interior Laboratory B</name>
        <type>Host</type>
        <Internal_Reference>
          <lid_reference>urn:nasa:pds:context:instrument_host:spacecraft.grail-b</lid_reference>
          <reference_type>is_instrument_host</reference_type>
        </Internal_Reference>
      </Observing_System_Component>
      <Observing_System_Component>
        <name>Lunar Gravity Ranging System A for GRAIL-A</name>
        <type>Instrument</type>
        <Internal_Reference>
          <lid_reference>urn:nasa:pds:context:instrument:grail-a.lgrs-a</lid_reference>
          <reference_type>is_instrument</reference_type>
        </Internal_Reference>
      </Observing_System_Component>
      <Observing_System_Component>
        <name>Lunar Gravity Ranging System B for GRAIL-B</name>
        <type>Instrument</type>
        <Internal_Reference>
          <lid_reference>urn:nasa:pds:context:instrument:grail-b.lgrs-b</lid_reference>
          <reference_type>is_instrument</reference_type>
        </Internal_Reference>
      </Observing_System_Component>
    </Observing_System>
    <Target_Identification>
      <name>Moon</name>
      <type>Satellite</type>
      <Internal_Reference>
        <lid_reference>urn:nasa:pds:context:target:satellite.earth.moon</lid_reference>
        <reference_type>data_to_target</reference_type>
      </Internal_Reference>
    </Target_Identification>
    <Discipline_Area>
      <disp:Display_Settings>
        <Local_Internal_Reference>
          <local_identifier_reference>map_object</local_identifier_reference>
          <local_reference_type>display_settings_to_array</local_reference_type>
        </Local_Internal_Reference>
        <disp:Display_Direction>
          <disp:horizontal_display_axis>Sample</disp:horizontal_display_axis>
          <disp:horizontal_display_direction>Left to Right</disp:horizontal_display_direction>
          <disp:vertical_display_axis>Line</disp:vertical_display_axis>
          <disp:vertical_display_direction>Top to Bottom</disp:vertical_display_direction>
        </disp:Display_Direction>
      </disp:Display_Settings>
      <cart:Cartography>
        <Local_Internal_Reference>
          <local_identifier_reference>map_object</local_identifier_reference>
          <local_reference_type>cartography_parameters_to_image_object</local_reference_type>
        </Local_Internal_Reference>
        <cart:Spatial_Domain>
          <cart:Bounding_Coordinates>
            <cart:west_bounding_coordinate unit="deg">0</cart:west_bounding_coordinate>
            <cart:east_bounding_coordinate unit="deg">360</cart:east_bounding_coordinate>
            <cart:north_bounding_coordinate unit="deg">90</cart:north_bounding_coordinate>
            <cart:south_bounding_coordinate unit="deg">-90</cart:south_bounding_coordinate>
          </cart:Bounding_Coordinates>
        </cart:Spatial_Domain>
        <cart:Spatial_Reference_Information>
          <cart:Horizontal_Coordinate_System_Definition>
            <cart:Planar>
              <cart:Map_Projection>
                <cart:map_projection_name>Equirectangular</cart:map_projection_name>
                <cart:Equirectangular>
                  <cart:latitude_of_projection_origin unit="deg">0.0</cart:latitude_of_projection_origin>
                  <cart:standard_parallel_1 unit="deg">0.0</cart:standard_parallel_1>
                  <cart:longitude_of_central_meridian unit="deg">180.0</cart:longitude_of_central_meridian>
                </cart:Equirectangular>
              </cart:Map_Projection>
              <cart:Planar_Coordinate_Information>
                <cart:planar_coordinate_encoding_method>Coordinate Pair</cart:planar_coordinate_encoding_method>
                <cart:Coordinate_Representation>
                  <cart:pixel_resolution_x unit="m/pixel">1895.8639</cart:pixel_resolution_x>
                  <cart:pixel_resolution_y unit="m/pixel">1895.8639</cart:pixel_resolution_y>
                  <cart:pixel_scale_x unit="pixel/deg">16</cart:pixel_scale_x>
                  <cart:pixel_scale_y unit="pixel/deg">16</cart:pixel_scale_y>
                </cart:Coordinate_Representation>
              </cart:Planar_Coordinate_Information>
              <cart:Geo_Transformation>
                <cart:upperleft_corner_x unit="m">2730044.02</cart:upperleft_corner_x>
                <cart:upperleft_corner_y unit="m">-5460088.03</cart:upperleft_corner_y>
              </cart:Geo_Transformation>
            </cart:Planar>
            <cart:Geodetic_Model>
              <cart:latitude_type>Planetocentric</cart:latitude_type>
              <cart:a_axis_radius unit="km">1738.0</cart:a_axis_radius>
              <cart:b_axis_radius unit="km">1738.0</cart:b_axis_radius>
              <cart:c_axis_radius unit="km">1738.0</cart:c_axis_radius>
              <cart:longitude_direction>Positive East</cart:longitude_direction>
              <cart:coordinate_system_type>Body-fixed Rotating</cart:coordinate_system_type>
              <cart:coordinate_system_name>LUNAR PRINCIPAL AXIS OF DE430</cart:coordinate_system_name>
            </cart:Geodetic_Model>
          </cart:Horizontal_Coordinate_System_Definition>
        </cart:Spatial_Reference_Information>
      </cart:Cartography>
    </Discipline_Area>
  </Observation_Area>
  <File_Area_Observational>
    <File>
      <file_name>gggrx_1200a_geoid_l660.img</file_name>
      <creation_date_time>2016-04-01</creation_date_time>
      <comment>This data product is a map of the 
 geoid heights (in meters) of the lunar gravity field at a resolution
 of 16 pix/deg by 16 pix/deg. It is based on a GRAIL gravity field of the Moon
 produced by NASA GSFC called GRGM1200A. GRGM1200A is a degree and order 1200
 spherical harmonic model, which includes the entire mission of GRAIL tracking
 data. The geoid heights are expanded in the spatial domain up to degree and 
 order 660.

 Some details describing this model are:
   The spherical harmonic coefficients are fully normalized (geodesy 4pi
   normalized).
   The uncertainties are calibrated (the formal uncertainties multiplied by
   a factor of 1.635).
   The reference radius = 1738.0 km
   The gravitational parameter is GM = 4902.80011526323 km**3/s**2
   The planetary ephemeris used is de430 and defines the lunar body-fixed
       coordinate system.
   A Kaula type power law constraint is applied to the spherical harmonics
       coefficients for degrees greater than 600 (3.6e-4/n^2).
   The weighting of the KBRR data is:
       0.03 microns/sec in the primary mission
       0.05 microns/sec in the extended mission
   The weighting of the DSN data is:
       0.12mm/s in both the primary and extended mission

 The nominal tidal Love number is k2 = 0.024133 +/- 0.000016

 The current best reference for the GRGM1200A gravity field is
 LEMOINEETAL2014, published in the Geophysical Research Letters with the
 DOI number 10.1002/2014GL060027 . For additional details on the GRAIL
 mission, data and methods, see LEMOINEETAL2013.

   Each point gives the Lunar geoid height in meters,
   on a reference sphere with semi-major-axis = 1738.0 km,
   GM = 4902.80011526323 km**3/s**2, and zero rotation rate.

 As other lunar gravity fields, the map is expressed in the Moon Principal
 Axes frame, which slightly differs from the Moon Mean Earth frame.
 For comparison with lunar topography, users are advised to make use of 
 the LOLA PDS products also archived in the Moon Principal Axes frame, such
 as the LDEM_64_PA product in the LRO-L-LOLA-4-GDR-V1.0 dataset, which 
 can be accessed at the PDS Geosciences Node or at the LOLA PDS Data node.
 Note also that the reference radius for gravity (1738 km) and topography
 (1737.4 km) are different.
      </comment>
    </File>
    <Array_2D_Image>
      <local_identifier>map_object</local_identifier>
      <offset unit="byte">0</offset>
      <axes>2</axes>
      <axis_index_order>Last Index Fastest</axis_index_order>
      <description>The Digital Map contains
   values of the geoid height. The values can be obtained
   by multiplying the sample in the map by SCALING_FACTOR
   and then adding OFFSET.
      </description>
      <Element_Array>
        <data_type>IEEE754LSBSingle</data_type>
        <unit>MILLIGALS</unit>
        <scaling_factor>1</scaling_factor>
        <value_offset>0</value_offset>
      </Element_Array>
      <Axis_Array>
        <axis_name>Line</axis_name>
        <elements>2880</elements>
        <sequence_number>1</sequence_number>
      </Axis_Array>
      <Axis_Array>
        <axis_name>Sample</axis_name>
        <elements>5760</elements>
        <sequence_number>2</sequence_number>
      </Axis_Array>
    </Array_2D_Image>
  </File_Area_Observational>
  <File_Area_Observational_Supplemental>
    <File>
      <file_name>gggrx_1200a_geoid_l660.lbl</file_name>
    </File>
    <Stream_Text>
      <offset unit="byte">0</offset>
      <parsing_standard_id>PDS3</parsing_standard_id>
      <description>Original PDS3 label</description>
      <record_delimiter>Carriage-Return Line-Feed</record_delimiter>
    </Stream_Text>
  </File_Area_Observational_Supplemental>
</Product_Observational>
