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    <logical_identifier>urn:nasa:pds:grail_gravity_derived:data_shadr:gggrx_1200l_bouguer_sha</logical_identifier>
    <version_id>1.1</version_id>
    <title>GRAIL Gravity ASCII Spherical Harmonic Model: GRGM1200L_BOUGUER</title>
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        <description>Updated a description in the SHADR Coefficients Table</description>
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      <stop_date_time>2012-12-14Z</stop_date_time>
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    <Investigation_Area>
      <name>Gravity Recovery and Interior Laboratory</name>
      <type>Mission</type>
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      <file_name>gggrx_1200l_bouguer_sha.tab</file_name>
      <creation_date_time>2021-03-16</creation_date_time>
      <comment>This file contains coefficients and related data for the GSFC Lunar gravity
 field GRGM1200L, a degree and order 1199 Spherical Harmonic Model, derived 
 from a series of local gravity solutions. This project was funded by NASA 
 grant NNX15AJ65G.

 The Bouguer gravity is obtained by differentiating the gravity disturbances 
 due to the lunar topography from the gravity disturbances as measured by the 
 GRGM1200L gravity model. The lunar shape is obtained from the laser 
 altimetry data acquired by the Lunar Orbiter Laser Altimeter (LOLA)
 onboard the Lunar Reconnaissance Orbiter (LRO), which are available
 on the NASA PDS Geosciences node. A uniform crustal density of
 2550kg/m**3 is assumed. A finite-amplitude correction of the 20th order
 is used, following WIECZOREK and PHILLIPS, 1998 (JGR, doi:10.1029/97JE03136).

 The maximum degree of this model is 1199, because the grid spacing to do the
 spherical harmonic transforms uses 'Lmax+1', and so in order to use a 0.15
 degrees by 0.15 degrees grid, we use Lmax=1199. For these Bouguer 
 coefficients, degree 1 terms are also included.

 No uncertainties are included in this table file.

 This file is a pair of ASCII tables: a header table and a table of
 1439999 coefficients.  Definitions of the tables follow.</comment>
    </File>
    <Table_Character>
      <offset unit="byte">0</offset>
      <records>1</records>
      <description>The SHADR header includes
descriptive information about the spherical harmonic
coefficients which follow in SHADR_COEFFICIENTS_TABLE.
The header consists of a single record of eight (delimited)
data columns requiring 137 bytes, a pad of 105 unspecified
ASCII characters, an ASCII carriage-return, and an ASCII
line-feed.</description>
      <record_delimiter>Carriage-Return Line-Feed</record_delimiter>
      <Record_Character>
        <fields>9</fields>
        <groups>0</groups>
        <record_length unit="byte">244</record_length>
        <Field_Character>
          <name>Reference_Raduis</name>
          <field_number>1</field_number>
          <field_location unit="byte">1</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <unit>Km</unit>
          <description>The assumed reference radius of the spherical planet.</description>
        </Field_Character>
        <Field_Character>
          <name>Constant</name>
          <field_number>2</field_number>
          <field_location unit="byte">25</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>For a gravity field model the assumed gravitational
            constant GM in kilometers cubed per seconds squared for the
            planet. For a topography model, set to 1.</description>
        </Field_Character>
        <Field_Character>
          <name>Uncertainty_in_Constant</name>
          <field_number>3</field_number>
          <field_location unit="byte">49</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>For a gravity field model the uncertainty in the gravitational
            constant GM in kilometers cubed per seconds squared for the
            planet. For a topography model, set to 1.</description>
        </Field_Character>
        <Field_Character>
          <name>Degree_of_Field</name>
          <field_number>4</field_number>
          <field_location unit="byte">73</field_location>
          <data_type>ASCII_Integer</data_type>
          <field_length unit="byte">5</field_length>
          <description>The degree of model field.</description>
        </Field_Character>
        <Field_Character>
          <name>Order_of_Field</name>
          <field_number>5</field_number>
          <field_location unit="byte">79</field_location>
          <data_type>ASCII_Integer</data_type>
          <field_length unit="byte">5</field_length>
          <description>The order of the model field.</description>
        </Field_Character>
        <Field_Character>
          <name>Normalization_State</name>
          <field_number>6</field_number>
          <field_location unit="byte">85</field_location>
          <data_type>ASCII_Integer</data_type>
          <field_length unit="byte">5</field_length>
          <description>The normalization indicator. For gravity field:
            0   coefficients are unnormalized
            1   coefficients are normalized
            2   other.</description>
        </Field_Character>
        <Field_Character>
          <name>Reference_Longitude</name>
          <field_number>7</field_number>
          <field_location unit="byte">91</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <unit>Degree</unit>
          <description>The reference longitude for
            the spherical harmonic expansion; normally 0.</description>
        </Field_Character>
        <Field_Character>
          <name>Reference_Latitude</name>
          <field_number>8</field_number>
          <field_location unit="byte">115</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <unit>Degree</unit>
          <description>The reference latitude for
            the spherical harmonic expansion; normally 0.</description>
        </Field_Character>
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          <name>Fill</name>
          <field_number>9</field_number>
          <field_location unit="byte">138</field_location>
          <data_type>ASCII_String</data_type>
          <field_length unit="byte">105</field_length>
        </Field_Character>
      </Record_Character>
    </Table_Character>
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      <name>SHADR Coefficients Table</name>
      <offset unit="byte">244</offset>
      <records>720599</records>
      <description>The SHADR coefficients table
  contains the coefficients for the Spherical Harmonic Model.
  Each row in the table contains the degree index m, the
  order index n, the coefficients Cmn and Smn, and the
  uncertainties in Cmn and Smn. The (delimited) data
  require 107 ASCII characters; these are followed by a pad
  of 13 unspecified ASCII characters, an ASCII carriage-
  return, and an ASCII line-feed.</description>
      <record_delimiter>Carriage-Return Line-Feed</record_delimiter>
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        <groups>0</groups>
        <record_length unit="byte">122</record_length>
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          <name>COEFFICIENT DEGREE</name>
          <field_number>1</field_number>
          <field_location unit="byte">1</field_location>
          <data_type>ASCII_Integer</data_type>
          <field_length unit="byte">5</field_length>
          <description>The degree index m of the C and S coefficients 
            in this record.</description>
        </Field_Character>
        <Field_Character>
          <name>COEFFICIENT ORDER</name>
          <field_number>2</field_number>
          <field_location unit="byte">7</field_location>
          <data_type>ASCII_Integer</data_type>
          <field_length unit="byte">5</field_length>
          <description>The order index n of the C and S coefficients 
            in this record.</description>
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        <Field_Character>
          <name>C</name>
          <field_number>3</field_number>
          <field_location unit="byte">13</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>The coefficient Cmn for this spherical harmonic 
            model.</description>
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          <name>S</name>
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          <field_location unit="byte">37</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>The coefficient Smn for this spherical harmonic 
            model.</description>
        </Field_Character>
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          <name>C_Uncertainty</name>
          <field_number>5</field_number>
          <field_location unit="byte">61</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>The uncertainty in the
            coefficient Cmn for this Spherical Harmonic Model.</description>
        </Field_Character>
        <Field_Character>
          <name>S_Uncertainty</name>
          <field_number>6</field_number>
          <field_location unit="byte">85</field_location>
          <data_type>ASCII_Real</data_type>
          <field_length unit="byte">23</field_length>
          <description>The uncertainty in the
            coefficient Smn for this Spherical Harmonic Model.</description>
        </Field_Character>
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          <name>Fill</name>
          <field_number>7</field_number>
          <field_location unit="byte">108</field_location>
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          <description>A pad of 13 unspecified ASCII characters.</description>
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