urn:nasa:pds:grail_gravity_derived:data_shadr:gggrx_1200l_sha 1.1 1.18.0.0 Product_Observational 2023-02-01 1.1 Updated a description in the SHADR Coefficients Table 2022-08-12 1.0 Initial version 2012-03-01Z 2012-12-14Z Gravity Recovery and Interior Laboratory Mission urn:nasa:pds:context:investigation:mission.gravity_recovery_and_interior_laboratory data_to_investigation Gravity Recovery and Interior Laboratory A Host urn:nasa:pds:context:instrument_host:spacecraft.grail-a is_instrument_host Gravity Recovery and Interior Laboratory B Host urn:nasa:pds:context:instrument_host:spacecraft.grail-b is_instrument_host Lunar Gravity Ranging System A for GRAIL-A Instrument urn:nasa:pds:context:instrument:grail-a.lgrs-a is_instrument Lunar Gravity Ranging System B for GRAIL-B Instrument urn:nasa:pds:context:instrument:grail-b.lgrs-b is_instrument Moon Satellite urn:nasa:pds:context:target:satellite.earth.moon data_to_target gggrx_1200l_sha.tab 2021-03-16 This file contains coefficients and related data for the GSFC Lunar gravity field model GRGM1200L. This project was funded by grant NNX15AJ65G. This is a degree and order 1199 Spherical Harmonic Model. This product was derived from a local analysis of GRAIL data. The Moon was divided into 14 regions, and for each region, a separate solution was determined, using GRAIL inter-satellite Ka-band range-rate data only. Gravity was represented as gridded gravity anomalies, and a global background gravity model in spherical harmonics was also used. This background model was the GRGM1200A model. Neighbor smoothing was used as a constraint. The details of the method can be found in an earlier publication, GOOSSENSETAL2014, and this new model is described in detail in GOOSSENSETAL2021. The separate solutions were patched together, and the final global map was transformed into spherical harmonics. Because of the latter, the maximum degree for this model is 1199 instead of 1200, but since it is based on the GRGM1200A model, it is counted among the GRGM1200 series. Because this model is the result of a spherical harmonic transform of a map, there are no uncertainties given on the coefficients, or on GM (the latter is the same as for the GRGM1200A model). All uncertainty values are therefore set to zero. 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. This file is a pair of ASCII tables: a header table and a table of 1439996 coefficients. Definitions of the tables follow. 0 1 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. Carriage-Return Line-Feed 9 0 244 Reference_Raduis 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 kilometers cubed per seconds 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 kilometers cubed per seconds squared for the planet. For a topography model, set to 1. Degree_of_Field 4 73 ASCII_Integer 5 The degree of model field. Order_of_Field 5 79 ASCII_Integer 5 The 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. Fill 9 138 ASCII_String 105 SHADR Coefficients Table 244 720599 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 7 0 122 COEFFICIENT DEGREE 1 1 ASCII_Integer 5 The degree index m of the C and S coefficients in this record. COEFFICIENT ORDER 2 7 ASCII_Integer 5 The order index n of the C and S coefficients in this record. C 3 13 ASCII_Real 23 The coefficient Cmn for this spherical harmonic model. S 4 37 ASCII_Real 23 The coefficient Smn for this spherical harmonic model. C_Uncertainty 5 61 ASCII_Real 23 The uncertainty in the coefficient Cmn for this Spherical Harmonic Model. S_Uncertainty 6 85 ASCII_Real 23 The uncertainty in the coefficient Smn for this Spherical Harmonic Model. Fill 7 108 ASCII_String 13 A pad of 13 unspecified ASCII characters. gggrx_1200l_sha.lbl 0 PDS3 Original PDS3 label Carriage-Return Line-Feed