PDS_VERSION_ID               = "PDS3"
RECORD_TYPE                  = FIXED_LENGTH
RECORD_BYTES                 = 122
FILE_RECORDS                 = 4657    
^SHADR_HEADER_TABLE          = ("JGMRO_095A_SHA.TAB",1)              
^SHADR_COEFFICIENTS_TABLE    = ("JGMRO_095A_SHA.TAB",3)              
INSTRUMENT_HOST_NAME         = "MARS RECONNAISSANCE ORBITER"
TARGET_NAME                  = "MARS"
INSTRUMENT_NAME              = "RADIO SCIENCE SUBSYSTEM"
DATA_SET_ID                  = "MRO-M-RSS-5-SDP-V1.0"
OBSERVATION_TYPE             = "GRAVITY FIELD"
ORIGINAL_PRODUCT_ID          = "MRO95A"
PRODUCT_ID                   = "JGMRO_095A_SHA.TAB"
PRODUCT_RELEASE_DATE         = 2007-10-01
DESCRIPTION                  = "
 This file contains coefficients and related data for the JPL Mars gravity
 field MRO95A, a 95th degree and order spherical harmonic model. It is the 
 first archived JPL gravity field that includes Mars Reconnaissance Orbiter 
 (MRO) tracking data.

 The summary of radio tracking data this gravity field is as follows:
   MGS Science Phasing Orbit 1 (SPO1)          1998-03-28 to 1998-04-28
       Science Phasing Orbit 2 (SPO2)          1998-06-04 to 1998-09-23
       Gravity Calibration Orbit (GCO) including
       fixed high-gain antenna mapping         1999-02-02 to 1999-03-29
       Mapping Orbit (MAP)                     1999-03-29 to 2006-09-23
       Note: This solution contains all useful MGS data prior to loss of
             contact with the spacecraft in Nov., 2006.
   Odyssey Transition Orbit (ODYT)             2002-01-11 to 2002-01-15
           Mapping Orbit (ODYM)                2002-02-11 to 2007-09-02
   MRO Transition Orbit (MROT)                 2006-08-30 to 2006-09-11
       Mapping Orbit (MROM)                    2006-09-11 to 2007-09-03
   Pathfinder                                  1997-07-04 to 1997-10-07
   Viking 1 Lander                             1976-07-21 to 1982-11-13

 Some details describing this model are:
   The spherical harmonic coefficients are fully normalized.
   The reference radius = 3396.0 km
   The prime meridian of this model matches the IAU 2000 prime meridian
       at the J2000 epoch to about 10 cm.
   The Mars System GM (Mars+Phobs+Deimos) = 42828.3756505 km^3/sec^2
       The GM of Mars = 42828.374837 km^3/sec^2
       The GM of Phobos = 7.17x10^-4 km^3/sec^2
       The GM of Deimos = 9.68x10^-5 km^3/sec^2
   The Viking and Mariner 9 orbiter data are not included in this delivery
       unlike some past deliveries which included this data. This data do
       not seem to add any more information for the gravity although there 
       is some Phobos and Deimos GM information in the data. The values for
       the Phobos and Deimos GM given here do not include the Viking and 
       Mariner 9 orbiter data.
   The Mars-fixed reference frame is given by Konopliv et al. (2006) except
       with updated orientation parameters that are either estimated in the
       MRO95A solution or fixed to chosen values. The prime meridian of the
       MRO95A coordinate was chosen so that it matches the prime meridian 
       of the IAU 2000 coordinate frame to within 10 cm.
       The rotation from the body-fixed position rBF to the inertial
       postion rIN is:
          rIN = Rz(-N) Rx(-J) Rz(-PSI) Rx(-I) Rz(-PHI) rBF
       where N is the angle in the plane of the Earth-mean-equator of J2000
       (EME2000) from the vernal equinox (intersection of the mean ecliptic
       and EME2000 planes) to the intersection of the Mars-mean-orbit of 
       J2000 and EME2000 planes; J is the inclination of the Mars-mean-orbit
       plane relative to the EME2000 plane; PSI is the angle in the 
       Mars-mean-orbit plane from the intersection of the EME2000 and 
       Mars-mean-orbit planes to the intersection of the Mars-mean-orbit and 
       Mars-true-equator of date planes; I is the inclination of the 
       Mars-true-equator relative to the Mars-mean-orbit plane; PHI is the 
       angle in the plane of the Mars-true-equator from the intersection of 
       the Mars-mean-orbit plane and Mars-true-equator to the Mars prime 
       meridian.
       PSI, I, and PHI have J2000 epoch and secular values plus corrections
       for nuations. PHI in addition has seasonal corrections for spin.
       For example, PSI = PSI(t=J2000) + (dPSI/dt)*T + dPSI(nutations) where
       T is time past J2000 in days.
       For MRO95A, the values of the orientation angles are:
          N =  3.37919183 deg (fixed)
          J = 24.67682669 deg (fixed)
          PSI(t=J2000) = 81.9683745250 deg (estimated)
          dPSI/dt      = -0.000005775 deg/day (fixed precession rate of Mars)
          I(t=J2000)   = 25.1893973568 deg (estimated)
          dI/dt        =  0.000000000 deg/day (fixed)
          PHI(t=J2000) = 133.38463 deg (fixed)
          dPHI/dt      = 350.891985307 deg/day (estimated)
        The estimated seasonal spin amplitudes for PHI with periods equal to 
        a Mars year, 1/2 year, 1/3 year, and 1/4 year and an epoch of 
        Jan. 1999 are given by
          PHI(  1yr,cosine) =  459 milliarcseconds
          PHI(  1yr,  sine) = -178 milliarcseconds
          PHI(1/2yr,cosine) = -126 milliarcseconds
          PHI(1/2yr,  sine) = -145 milliarcseconds
          PHI(1/3yr,cosine) =    2 milliarcseconds
          PHI(1/3yr,  sine) =  -12 milliarcseconds
          PHI(1/4yr,cosine) =  -19 milliarcseconds
          PHI(1/4yr,  sine) =  -18 milliarcseconds
   The number of radio tracking data (Doppler and range) observations for the
       various data blocks are as follows:
          MGS SPO1 and SPO2 at 177 km periapsis   =   131,623
          MGS GCO at 370 km periapsis             =   140,735
          MGS MAP at 370 km periapsis             = 8,366,012
          Odyssey transistion at 200 km periapsis =    27,661
          Odyssey mapping at 390 km periapsis     = 5,556,769
          Pathfinder on the Mars surface          =     7,562
          Viking 1 Lander on the Mars surface     =    15,628
          MRO transition at 200 km periapsis      =    72,127
          MRO mapping at 250 km periapsis         =   903,565
   The data weights for each block have accounted for
       the SPO1 and SPO2 Doppler being corrupted by solar plasma while
       at small Sun-Earth-probe angles. The GCO and MAP data are the
       highest quality data having a 2-way Doppler data weight near
       0.03 mm/sec for a 10 second sample. The Pathfinder Doppler is
       weighted about 0.08 mm/s and Viking Lander data is weighted
       near 0.4 mm/s.
   A kaula type power law constraint is applied to the spherical harmonics
       coefficients beginning at degree 70. The MRO95A constraint uses a simil
       taper as the constraint applied to MGS95J (see Fig. 5 of 
       Konopliv et al., 2006), but begins at degree 70.
   The k2 Love number to use with this MRO95A solution is 0.1314. The
       second degree harmonic coefficients do not include the permanent
       tide due to the Love number.
   This delivery is the Mars static gravity field. However, the gravity
       field varies due to the mass exchange between the polar caps and
       the Mars atmosphere. The major component of this effect can be
       included in the gravity field by adding the following correction
       to the normalized J3 gravity coefficient:
          dJ3 = 3.038D-09 * sin W*(t-t0)
       where W is the Mars mean motion = 191.39 deg/yr and t-t0 = years
       past Jan 1, 1999.

 This file is a pair of ASCII tables: a header table and a table of
 9215 coefficients plus a value for GM.  Definitions of the tables
 follow."

START_TIME                   = 2006-08-30T18:00:00.000
STOP_TIME                    = 2007-09-03T16:00:00.000
PRODUCT_CREATION_TIME        = 2007-10-01T00:00:00.000
PRODUCER_FULL_NAME           = "ALEX S. KONOPLIV"
PRODUCER_INSTITUTION_NAME    = "JET PROPULSION LABORATORY"
PRODUCT_VERSION_TYPE         = "FINAL"
PRODUCER_ID                  = "MRO GST"
SOFTWARE_NAME                = "SHAGRV.V1.0"


OBJECT               = SHADR_HEADER_TABLE
ROWS                       = 1
COLUMNS                    = 8
ROW_BYTES                  = 137
ROW_SUFFIX_BYTES           = 107
INTERCHANGE_FORMAT         = ASCII
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."

  OBJECT                   = COLUMN
    NAME                         = "REFERENCE RADIUS"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 1
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "KILOMETER"
    DESCRIPTION                  = "The assumed reference 
    radius of the spherical planet."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "CONSTANT"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 25
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    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."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "UNCERTAINTY IN CONSTANT"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 49
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    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 0."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "DEGREE OF FIELD"
    DATA_TYPE                    = ASCII_INTEGER
    START_BYTE                   = 73
    BYTES                        = 5
    FORMAT                       = "I5"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The degree of model field."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "ORDER OF FIELD"
    DATA_TYPE                    = ASCII_INTEGER
    START_BYTE                   = 79
    BYTES                        = 5
    FORMAT                       = "I5"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The order of the model field."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "NORMALIZATION STATE"
    DATA_TYPE                    = ASCII_INTEGER
    START_BYTE                   = 85
    BYTES                        = 5
    FORMAT                       = "I5"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The normalization indicator.
    For gravity field:
        0   coefficients are unnormalized
        1   coefficients are normalized
        2   other."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "REFERENCE LONGITUDE"
    POSITIVE_LONGITUDE_DIRECTION = "EAST"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 91
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "DEGREE"
    DESCRIPTION                  = "The reference longitude for
    the spherical harmonic expansion; normally 0."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "REFERENCE LATITUDE"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 115
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "DEGREE"
    DESCRIPTION                  = "The reference latitude for
    the spherical harmonic expansion; normally 0."
  END_OBJECT               = COLUMN

END_OBJECT           = SHADR_HEADER_TABLE

OBJECT               = SHADR_COEFFICIENTS_TABLE
  ROWS                     = 4655
  COLUMNS                  = 6
  ROW_BYTES                = 107
  ROW_SUFFIX_BYTES         = 15
  INTERCHANGE_FORMAT       = ASCII
  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."

  OBJECT                   = COLUMN
    NAME                         = "COEFFICIENT DEGREE"
    DATA_TYPE                    = ASCII_INTEGER
    START_BYTE                   = 1
    BYTES                        = 5
    FORMAT                       = "I5"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The degree index m of the
    C and S coefficients in this record."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "COEFFICIENT ORDER"
    DATA_TYPE                    = ASCII_INTEGER
    START_BYTE                   = 7
    BYTES                        = 5
    FORMAT                       = "I5"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The order index n of the
    C and S coefficients in this record."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "C"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 13
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The coefficient Cmn
    for this spherical harmonic model."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "S"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 37
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The coefficient Smn
    for this spherical harmonic model."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "C UNCERTAINTY"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 61
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The uncertainty in the
    coefficient Cmn for this spherical harmonic model."
  END_OBJECT               = COLUMN

  OBJECT                   = COLUMN
    NAME                         = "S UNCERTAINTY"
    DATA_TYPE                    = ASCII_REAL
    START_BYTE                   = 85
    BYTES                        = 23
    FORMAT                       = "E23.16"
    UNIT                         = "N/A"
    DESCRIPTION                  = "The uncertainty in the
    coefficient Smn for this spherical harmonic model."
  END_OBJECT               = COLUMN

END_OBJECT           = SHADR_COEFFICIENTS_TABLE

END
