urn:nasa:pds:grail_gravity_derived:data_shadr:jggrx_1800f_me_sha 1.1 1.18.0.0 Product_Observational 2025-05-13 1.1 Added Love number values used in the GL1800F gravity solution to the file comment 2025-03-28 1.0 Initial version 2012-03-01T16:28:00.000Z 2012-12-14T20:56:00.000Z 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 Instrument urn:nasa:pds:context:instrument:grail-a.lgrs-a is_instrument Lunar Gravity Ranging System 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 jggrx_1800f_me_sha.tab 2017-05-07T00:00:00.000 This file contains coefficients and related data for the JPL Lunar gravity field GL1800F_ME, a 1800th degree and order spherical harmonic model. The original GL1800F gravity field in the lunar principal axes (PA) system was rotated to the mean Earth/polar axis (ME) coordinate frame to generate the GL1800F_ME coefficients. It is a JPL gravity field that includes the entire primary mission (March 1, 16:30 to May 29, 16:36, 2012) and the entire extended mission GRAIL tracking data (August 30, 16:20 to Dec. 14, 20:56, 2012). This solution uses the version 4 level-1 data for the primary and extended missions. Some details describing this model are: The spherical harmonic coefficients are fully normalized. The reference radius = 1738.0 km The planetary ephemeris is de440 and defines the lunar body-fixed mean Earth/polar axis (ME) coordinate system. The rotation angles to rotate from PA to ME using SHTools (M. Wieczorek and M. Meschede, SHTools: Tools for Working with Spherical Harmonics, Geochemistry, Geophysics, Geosystems, 19, 2574-2592. https://doi.org/10.1029/2018GC007529) are given by alpha = 179.778382756033 beta = 0.02185969244603617 gamma = -179.797230715235 The second degree Love number solution is estimated to be k2=0.024223. The third degree Love number solution is estimated to be k3=0.0163. The second and third degree gravity coefficients of this model do not include the permanent tide. A constraint is applied starting at n=601. The a priori value is the topography from gravity coefficient value (i.e., not zero) and the a priori uncertainty equals 0.3 x the gravity from topography coefficient value using topography to power 23 and a variable density. The weighting of the KBRR data is 0.03 to 0.06 microns/sec for the primary mission and 0.05 microns/sec for the entire extended mission. Reference: R. S. Park, A. Berne, A. S. Konopliv, J. T. Keane, I. Matsuyama, F. Nimmo, M. Rovira-Navarro, M. P. Panning, M. Simons, D. J. Stevenson, R. C. Weber, 'Thermal asymmetry in the Moon's mantle inferred from monthly tidal response', Nature, 2025. This file is a pair of ASCII tables: a header table and a table of 3243597 coefficients plus a value for GM. 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_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 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 0. 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 1622700 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. jggrx_1800f_me_sha.lbl 0 PDS3 Original PDS3 label Carriage-Return Line-Feed