urn:nasa:pds:mess_rs_derived:data:ggmes_50v06_sha 1.0 1.11.0.0 Product_Observational 2018-07-02 1.0 PDS4 migrated product. 2008-01-07Z 2014-02-04Z MESSENGER Mission urn:nasa:pds:context:investigation:mission.messenger data_to_investigation MESSENGER Spacecraft urn:nasa:pds:context:instrument_host:spacecraft.mess is_instrument_host Radio Science Subsystem Instrument urn:nasa:pds:context:instrument:rss.mess is_instrument Mercury Planet urn:nasa:pds:context:target:planet.mercury data_to_target SHADR Nsolve ggmes_50v06_sha.tab 2014-06-15 This product contains coefficients and related data for a spherical harmonic model of the Hermean gravity field. Input data are from radio tracking of the MErcury Surface, Space ENvironment, GEochemistry, and Ranging (MESSENGER) spacecraft. This product is a set of ASCII tables: a header table and a coefficients table. Definitions of the tables follow. This MESSENGER Mercury gravity model is in the form of a Spherical Harmonics Ascii Data Record (SHADR). It has been produced by the MESSENGER Radio Science at NASA GSFC, and extends to degree and order 50. A Kaula rule of 1.25E-05/L^2 was applied. Data up to February 4th, 2014 are included in the solution. In addition to the gravity field coefficients contained in the table below, other geophysical parameters were obtained with the solution. Pole orientation (right ascension and declination at J2000): RA = 281.00480 +/- 0.00054 degrees DEC = 61.41436 +/- 0.00021 degrees Updated spin period: 58.646156 +/- 0.000011 days. Tidal Love number: k2 = 0.4510 +/- 0.0014. SHADR Header Table 0 1 The SHADR header includes descriptive information about the spherical harmonic coefficients that follow in SHADRCoefficients 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. Carriage-Return Line-Feed 8 0 244 reference radius 1 1 ASCII_Real 23 km The assumed reference radius of the spherical planet. constant 2 25 ASCII_Real 23 For a gravity field model the assumed gravitational constant GM in km cubed per second squared for the planet. For a topography model, set to 1. uncertainty in constant 3 49 ASCII_Real 23 For a gravity field model the uncertainty in the gravitational constant GM in km cubed per second squared for the planet (or, set to 0 if not known). For a topography model, set to 0. degree of field 4 73 ASCII_Integer 5 Degree of the model field. order of field 5 79 ASCII_Integer 5 Order of the model field. normalization state 6 85 ASCII_Integer 5 The normalization indicator. For gravity field: 0 coefficients are unnormalized 1 coefficients are normalized 2 other. reference longitude 7 91 ASCII_Real 23 degree The reference longitude for the spherical harmonic expansion; normally 0. reference latitude 8 115 ASCII_Real 23 degree The reference latitude for the spherical harmonic expansion; normally 0. SHADR Coefficients Table 244 1325 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. Carriage-Return Line-Feed 6 0 122 coefficient degree 1 1 ASCII_Integer 5 Degree index m of the C and S coefficients in this record. coefficient order 2 7 ASCII_Integer 5 Order index n of the C and S coefficients in this record. c 3 13 ASCII_Real 23 Coefficient Cmn for this spherical harmonic model. s 4 37 ASCII_Real 23 Coefficient Smn for this spherical harmonic model. c uncertainty 5 61 ASCII_Real 23 Uncertainty in the coefficient Cmn for this spherical harmonic model. s uncertainty 6 85 ASCII_Real 23 Uncertainty in the coefficient Smn for this spherical harmonic model. ggmes_50v06_sha.lbl 0 PDS3 Original PDS3 label Carriage-Return Line-Feed