SOFTWARE INTERFACE SPECIFICATION RADIO SCIENCE DIGITAL MAP (RSDMAP) PRODUCTS prepared by Peggy L. Jester SGT, Inc / Code 614.1 NASA GSFC / Wallops Flight Facility Wallops Island, VA 23337 USA Version 4.3 06 June 2014 PREFACE |====================================================================| | | | DOCUMENT CHANGE LOG | | | |====================================================================| |REVISION|REVISION| SECTION | REMARKS | | NUMBER | DATE | AFFECTED | | |--------+--------+------------+-------------------------------------| | 2.0 |98/04/20| All |Adapted from V1.0.2 for MGS and Lunar| | | | | Prospector. | |--------+--------+------------+-------------------------------------| | 2.0.1 |98/12/16| 4.2.1 |Change MGS DATA_SET_ID to | | | | | MGS-M-RSS-5-SDP-V1.0 | |--------+--------+------------+-------------------------------------| | 2.0.1 |98/12/16| Appendix B |Added examples in B.1 and B.2 | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09|Distribution|Update list of PDS recipients | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09|Acr & Abbrev|Changed "LPX" to "LP" for Lunar | | | | 1.2 | Prospector | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09| 2.3 |Generalized use of "nnnnvv" string in| | | | | file naming. | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09| Fig. 4-2-3 |Generalized value for pointer | | | | | ^DATA_SET_MAP_PROJECTION | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09| Fig. 4-2-2 |Removed keyword UNIT from IMAGE | | | | B.1 | object definition | |--------+--------+------------+-------------------------------------| | 2.0.2 |99/03/09| 1.5.4.1 |Substituted 7-bit ASCII characters | | | | 1.5.4.2 | for 8-bit versions | |--------+--------+------------+-------------------------------------| | 3.0 |06/03/15| All |Adapted from V2.0.2 for Messenger and| | | | | MRO. Streamlined format, omitting | | | | | obsolete distribution list and table| | | | | of Items to be | |--------+--------+------------+-------------------------------------| | 3.1 |08/07/28| 2.3 |Updated file naming convention | | | | | for MRO | |--------+--------+------------+-------------------------------------| | 3.2 |10/13/10| 2.3 |Updated file naming convention | | | | | to include more characters to | | | | | describe solution of the field | |--------+--------+------------+-------------------------------------| | 4.0 |13/04/17| All |Adapted from V3.2 for GRAIL | |--------+--------+------------+-------------------------------------| | 4.1 |13/06/11| All |Typos and formatting | |--------+--------+------------+-------------------------------------| | 4.2 |13/09/12| Appendices | Revised Appendices A & B for GRAIL | |--------+--------+------------+-------------------------------------| | 4.3 |14/06/06| 2.3 |Updated file naming convention to | | | | | include 2 more data types. | |========|========|============|=====================================| Contents Preface..............................................................2 Document Change Log............................................... 2 Contents...........................................................3 Acronyms and Abbreviations.........................................5 1. General Description...............................................7 1.1. Overview......................................................7 1.2. Scope.........................................................7 1.3. Applicable Documents..........................................7 1.4. System Siting.................................................8 1.4.1. Interface Location and Medium.............................8 1.4.2. Data Sources, Transfer Methods, and Destinations..........8 1.4.3. Generation Method and Frequency...........................8 1.5. Assumptions and Constraints...................................8 1.5.1. Usage Constraints.........................................9 1.5.2. Priority Phasing Constraints..............................9 1.5.3. Explicit and Derived Constraints..........................9 1.5.4. Documentation Conventions.................................9 1.5.4.1. Data Format Descriptions..............................9 1.5.4.2. Time Standards........................................9 1.5.4.3. Coordinate Systems...................................10 1.5.4.4. Limits of This Document..............................10 1.5.4.5. Typographic Conventions..............................10 2. Interface Characteristics........................................11 2.1. Hardware Characteristics and Limitations.....................11 2.1.1. Special Equipment and Device Interfaces..................11 2.1.2. Special Setup Requirements...............................11 2.2. Volume and Size..............................................11 2.3. Labeling and Identification..................................11 2.4. Interface Medium Characteristics.............................12 2.5. Failure Protection, Detection, and Recovery Procedures.......12 2.6. End-of-File Conventions......................................12 3. Access...........................................................13 3.1. Programs Using the Interface.................................13 3.2. Synchronization Considerations...............................13 3.2.1. Timing and Sequencing Considerations.....................13 3.2.2. Effective Duration.......................................13 3.2.3. Priority Interrupts......................................13 3.3. Input/Output Protocols, Calling Sequences....................13 4. Detailed Interface Specifications................................14 4.1. Structure and Organization Overview..........................14 4.2. Detached PDS Label...........................................14 4.2.1. Label Header.............................................14 4.2.2. Image Object Definition..................................17 4.2.3. Image Map Projection Object Definition...................17 4.3. Data File....................................................18 Appendix A. Binary Data Format.....................................19 Appendix B. Example RSDMAP Label and Data Object...................20 B.1. Example Label................................................20 B.2. Example Data Object..........................................22 Figures 4-2-1. RSDMAP Label Header........................................14 4-2-2. RSDMAP Image Object Definition.............................17 4-2-3. RSDMAP Image Map Projection Definition.....................17 Acronyms and Abbreviations ANSI American National Standards Institute APL Applied Physics Laboratory ARC Ames Research Center ARCDR MGN Altimetry and Radiometry Composite Data Record ASCII American Standard Code for Information Interchange ASU Arizona State University CD-WO compact-disc write-once CNES Centre National d'Etudes Spatiales CR Carriage return (ASCII character) dB Decibel DEC Digital Equipment Corporation DSN Deep Space Network DVD Digital Video Disc or Digital Versatile Disc EGM96 Earth Gravitational Model 1996 FEA Front End Assembly GRAIL Gravity Recovery and Interior Laboratory GSFC Goddard Space Flight Center IEEE Institute of Electrical and Electronic Engineers IAU International Astronomical Union JHU Johns Hopkins University JPL Jet Propulsion Laboratory J2000 IAU Official Time Epoch K Degrees Kelvin kB kilobytes km Kilometers LAST Laser Altimeter Science Team (Messenger) LF Line feed (ASCII character) LP Lunar Prospector (mission or spacecraft) MESSENGER MErcury Surface Space ENvironment, GEochemistry, and Ranging (acronym for mission to Mercury) MGN Magellan (project or spacecraft) MGS Mars Global Surveyor MIT Massachusetts Institute of Technology MLA MESSENGER Laser Altimeter MO Mars Observer MRO Mars Reconnaissance Orbiter NAIF Navigation and Ancillary Information Facility NASA National Aeronautics and Space Administration NAV Navigation Subsystem/Team ODL Object Definition Language (PDS) PDS Planetary Data System RS Radio Science RSDMAP Radio Science Digital Map Product RSS Radio Science Subsystem RST Radio Science Team SCET Space Craft Event Time SDS Science Data System SHADR Spherical Harmonic ASCII Data Record SHBDR Spherical Harmonic Binary Data Record SHM Spherical Harmonic Model SIS Software Interface Specification SOPC Science Operations Planning Computer SPARC Sun Scaleable Processor Architecture SPK Spacecraft and Planet Kernel Format, from NAIF TBD To Be Determined TDB Temps Dynamique Barycentrique - IAU Standard Ephemeris Time TES Thermal Emission Spectrometer UTC Universal Time Coordinated 1. General Description 1.1. Overview This Software Interface Specification (SIS) describes Radio Science Digital Map (RSDMAP) files. The RSDMAP product was designed for geoid, isostatic anomaly, Bouguer anomaly, or other digital maps derived primarily from Radio Science data [1]. Use of the RSDMAP format is not limited to Radio Science data, however. 1.2. Scope The format and content specifications in this SIS apply to all phases of a project for which RSDMAP products are produced. The RSDMAP product was defined initially for free air gravity maps derived from Magellan (MGN) and Mars Observer (MO) radio tracking data, but the format is more generally useful. It was adapted in 1999 for Mars Global Surveyor (MGS) and Lunar Prospector (LP) radio data with options for MGS Thermal Emission Spectrometer (TES) data. It was later revised for the Mars Reconnaissance Orbiter (MRO) [6,7] and MESSENGER [8,9] missions. In this revision it is adapted for the Gravity Recovery and Interior Laboratory (GRAIL) mission [12]. The Magellan, Mars Observer, Mars Global Surveyor, Mars Reconnaissance Orbiter, and GRAIL missions are or were managed by the Jet Propulsion Laboratory (JPL) for the National Aeronautics and Space Administration (NASA). Lunar Prospector was managed by the Ames Research Center (ARC) for NASA. MESSENGER is managed by the Johns Hopkins University Applied Physics Laboratory (APL), in Laurel Maryland. 1.3. Applicable Documents [1] Tyler, G.L., G. Balmino, D.P. Hinson, W.L. Sjogren, D.E. Smith, R. Woo, S.W. Asmar, M.J. Connally, C.L. Hamilton, and R.A. Simpson, Radio Science Investigations with Mars Observer, J. Geophys. Res., 97, 7759-7779, 1992. [2] MGN 630-7, Rev. D, Magellan Planetary Constants and Models, D.T. Lyons, Mission Design, Jet Propulsion Laboratory, 9 January 1991. [3] MO 642-321, Mars Observer Planetary Constants and Models, JPL D-3444, November 1990. [4] D-7116, Rev. F, Planetary Science Data Dictionary Document, Jet Propulsion Laboratory, 20 October 2008. [5] D-7669 Part 2, Planetary Data System Standards Reference, PDS Version 3.8, Jet Propulsion Laboratory, 27 February 2009. [6] Mars Reconnaissance Orbiter Mission Plan, Revision C: July 2005, prepared by Robert Lock Document JPL D-22239, MRO-31-201. [7] MRO-D-22685, Rev B., Planetary Constants and Models, 05-15-2003. [8] McAdams, J. V. (JHU/APL), MESSENGER mission overview and trajectory design, American Institute of Aeronautics and Astronautics, American Astronautical Society (AIAA/AAS) Astrodynamics Specialist Conference, Paper AAS 03-541, 20 pp., Big Sky, MT, August 3-7, 2003. [9] McAdams, J. V., D. W. Dunham, R. W. Farquhar (all at JHU/APL), A. H. Taylor, and B. G. Williams (both at KinetX, Inc.), Trajectory design and maneuver strategy for the MESSENGER mission to Mercury, 15th American Astronautical Society (AAS)/American Institute of Aeronautics and Astronautics (AIAA) Space Flight Mechanics Conf., Paper AAS 05-173, 21 pp., Copper Mountain, CO, January 23-27, 2005. [10] Wessel, P. and W. H. F. Smith, Free software helps map and display data, EOS Trans. AGU, 72, 441, 1991. [11] Generic Mapping Tools website: http://gmt.soest.hawaii.edu/. [12] Roncoli, R. B., and K. K. Fujii, Mission Design Overview for the Gravity Recovery and Interior Laboratory (GRAIL) Mission, AIAA/AAS Astrodynamics Specialist Conference, Toronto, Ontario, Canada, 2010. http://arc.aiaa.org/doi/pdf/10.2514/6.2010-8383. 1.4. System Siting 1.4.1. Interface Location and Medium RSDMAP files are created at the institution conducting the science analysis. RSDMAP files are electronic files. 1.4.2. Data Sources, Transfer Methods, and Destinations RSDMAP files are created from radio tracking, vertical sounding, in situ, and/or other measurements at the institution conducting the scientific data analysis. They are transferred to and deposited in a data system specified by the managing institution. RSDMAP files will be delivered to users via electronic networks and/or on physical media such as compact-disc write-once volumes (CD-WO). 1.4.3. Generation Method and Frequency RSDMAP files are developed separately at each institution conducting scientific analyses on raw data. Each digital map meets criteria specified by the investigators conducting the analysis. Each digital map typically requires data from a large number of latitudes and longitudes, so that RSDMAP files will be issued infrequently and on schedules which cannot be predicted. 1.5. Assumptions and Constraints 1.5.1. Usage Constraints None. 1.5.2. Priority Phasing Constraints None. 1.5.3. Explicit and Derived Constraints None. 1.5.4. Documentation Conventions 1.5.4.1. Data Format Descriptions The reference data unit is the byte. Data may be stored in fields with various sizes and formats, viz. one-, two-, and four-byte binary integers, four- and eight-byte binary floating-point numbers, and character strings. Data are identified throughout this document as char 8 bits character uchar 8 bits integer short 16 bits integer long 32 bits integer float 32 bits floating point (sign, exponent, and mantissa) double 64 bits floating point (sign, exponent, and mantissa) u (prefix) unsigned (as with ulong for unsigned 32-bit integer) other special data structures such as time, date, etc. which are described within this document The detailed formats of the numeric fields are defined in Appendix A. If a field is described as containing n bytes of ASCII character string data, this implies that the leftmost (lowest numbered) byte contains the first character, the next lowest byte contains the second character, and so forth. An array of n elements is written as array[n]; the first element is array[0], and the last is array[n-1]. Array[n][m] describes an n by m element array, with first element array[0][0], second element array[0][1], and so forth. 1.5.4.2. Time Standards RSDMAP files use the January 1.5, 2000 epoch as the standard time. Within the data files, all times are reported in Universal Coordinated Time (UTC) as strings of 23 ASCII characters. The time format is "YYYY-MM-DDThh:mm:ss.fff", where "-", "T", ":", and "." are fixed delimiters; "YYYY" is the year "19nn" or "20nn"; "MM" is a two- digit month of year; "DD" is a two-digit day of month; "T" separates the date and time segments of the string; "hh" is hour of day; "mm" is the minutes of hour (00-59); "ss" is the seconds of hour (00-59); and "fff" is in milliseconds. The date format is "YYYY-MM-DD", where the components are defined as above. 1.5.4.3. Coordinate Systems Coordinate systems for RSDMAP products are specified in the IMAGE_MAP_PROJECTION definition in the PDS label (see Section 4.2.3). These may be described more fully in other documents -- e.g. [2,3]. 1.5.4.4. Limits of This Document This document applies only to RSDMAP data files. 1.5.4.5. Typographic Conventions This document has been formatted for simple electronic file transfer and display. Line lengths are limited to 80 ASCII characters, including line delimiters. No special fonts or structures are included within the file. Constant width characters are assumed for display. 2. Interface Characteristics 2.1. Hardware Characteristics and Limitations 2.1.1. Special Equipment and Device Interfaces Users of the RSDMAP product must have access to the data system (or to backup media) on which RSDMAP files are stored. 2.1.2. Special Setup Requirements None. 2.2. Volume and Size RSDMAP products have variable length depending on the resolution of the map, the number of quantities represented in the image, and the format of the individual data points. A rectangular map of resolution 1 degree in both latitude and longitude with a single parameter given as a double precision floating point number requires about 520 kB total. The same map in one-byte integers would require about 65 kB. 2.3. Labeling and Identification The length of file names is limited to 27 or fewer characters before the period delimiter and 3 characters after the period delimiter. Each file has a name which describes its contents. The name includes the following structure which uniquely identifies it among RSDMAP products. For the GRAIL gravity products the following file naming convention is used: GTsss_ffff_nnnn_cccc.IMG where "G" denotes the generating institution "J" for the Jet Propulsion Laboratory "G" for Goddard Space Flight Center "M" for Massachusetts Institute of Technology "T" indicates the type of mission data represented "G" for gravity field "sss" is a 3-character modifier specified by the data producer. This modifier is used to indicate the source spacecraft or project, such as MRO for the Mars Reconnaisance Orbiter. "_" the underscore character is used to delimit information in the file name for clarity. "ffff" is a 4- to 6-character modifier specified by the data producer to indicate the degree and order of the solution for the gravity field, topography or magnetic field. "nnnn" is a 4- to 8-character modifier indicating the type of data represented "ANOM" for free air gravity anomalies "ANOMERR" for free air gravity anomaly errors (1) "GEOID" for geoid "GEOIDERR" for geoid errors (1) "BOUG" for Bouguer anomaly "ISOS" for isostatic anomaly "TOPO" for topography "MAGF" for magnetic field "DIST" for gravity disturbances "DEGSTR" for degree strength (1) Geoid and gravity anomaly errors are computed from a mapping of the error covariance matrix of the gravity field solution. "cccc" is a 2- to 4-character modifier specified by the data producer to indicate the degree and order to which the potential solution (gravity, topography or magnetic field) has been evaluated. In the case of the error maps for the gravity anomalies or geoid, this field indicates to which maximum degree and order the error covariance was used to propagate the spatial errors ".IMG" indicates the data is stored as an image. Each RSDMAP file is accompanied by a detached PDS label; that label is a file in its own right with name GTsss_ffff_nnnn_cccc.LBL 2.4. Interface Medium Characteristics RSDMAP products are electronic files. 2.5. Failure Protection, Detection, and Recovery Procedures None. 2.6. End-of-File Conventions End of file labeling complies with standards of the data system or medium on which they are stored. 3. Access 3.1. Programs Using the Interface Data contained in RSDMAP files will be accessed by programs at the home institutions of science investigators. Those programs cannot be identified here. 3.2. Synchronization Considerations 3.2.1. Timing and Sequencing Considerations N/A 3.2.2. Effective Duration N/A 3.2.3. Priority Interrupts None. 3.3. Input/Output Protocols, Calling Sequences None. 4. Detailed Interface Specifications 4.1. Structure and Organization Overview The RSDMAP is a file generated by software at the institution conducting scientific data analysis. Each RSDMAP file is accompanied by a detached PDS label. 4.2. Detached PDS Label The detached PDS label has three parts -- a header, an IMAGE object definition, and an IMAGE_MAP_PROJECTION definition. The header contains information about the origin of the file and its general characteristics such as record type and size. The IMAGE object definition contains information about the image -- lines, pixels, scaling of pixel values, etc. The IMAGE_MAP_PROJECTION definition describes how one should display the image. Each detached PDS label is constructed of ASCII records; each record contains exactly 80 characters. The last two characters in each record are the carriage-return (ASCII 13) and line-feed (ASCII 10) characters. An example of a complete label is given in Appendix B. 4.2.1 Label Header The structure of the label file header is illustrated in Figure 4-2-1. Keyword definitions are given below. |====================================================================| | | | Figure 4-2-1 RSDMAP Label Header | | | |====================================================================| | | | PDS_VERSION_ID = PDS3 | | RECORD_TYPE = FIXED_LENGTH | | RECORD_BYTES = nnn | | FILE_RECORDS = nnn | | ^IMAGE = "GTsss_ffff_nnnn_cccc.IMG" | | INSTRUMENT_HOST_NAME = "cccccccccccccccccccc" | | TARGET_NAME = "cccc" | | INSTRUMENT_NAME = "ccccccccccccccccccccccc" | | DATA_SET_ID = "ccccccccccccccccccccccc" | | ORIGINAL_PRODUCT_ID = "ccccccccccccccc" | | PRODUCT_ID = "GTsss_ffff_nnnn_cccc.IMG" | | PRODUCT_RELEASE_DATE = YYYY-MM-DD | | DESCRIPTION = "cccccccccccccccccc" | | START_ORBIT_NUMBER = nnnn | | STOP_ORBIT_NUMBER = nnnn | | START_TIME = YYYY-MM-DDThh:mm:ss.fff | | STOP_TIME = YYYY-MM-DDThh:mm:ss.fff | | SOFTWARE_NAME = "ccccccc;Vn.m" | | PRODUCT_CREATION_TIME = YYYY-MM-DDThh:mm:ss.fff | | PRODUCER_ID = "ccccccc" | | | |====================================================================| PDS_VERSION_ID = The version of the Planetary Data System for which these data have been prepared (set to PDS3 by agreement between the space flight project and PDS). RECORD_TYPE = The type of record. Set to "FIXED_LENGTH" to indicate that all logical records have the same length. RECORD_BYTES = The number of bytes per (fixed-length) record. FILE_RECORDS = The number of records in the RSDMAP file; instance dependent. ^IMAGE = File name of the RSDMAP file in the form "GTsss_ffff_nnnn_cccc.IMG", where the structure is explained in Section 2.3. INSTRUMENT_HOST_NAME = Name of the spacecraft; acceptable names include "MARS GLOBAL SURVEYOR", "LUNAR PROSPECTOR", "MARS RECONNAISSANCE ORBITER", "MESSENGER", and "GRAVITY RECOVERY AND INTERIOR LABORATORY". TARGET_NAME = A character string which identifies the target body. For MGS and MRO RSDMAP files, the character string "MARS". For Lunar Prospector and GRAIL RSDMAP files, the character string "MOON". For MESSENGER RSDMAP files, the character string "MERCURY". INSTRUMENT_NAME = Name of the instrument; set to "RADIO SCIENCE SUBSYSTEM" for products generated from radio science data, or to other instrument names as appropriate. For GRAIL, set to “LUNAR GRAVITY RANGING SYSTEM”. DATA_SET_ID = Identifier for the data set of which this RSDMAP product is a member. Set to "MGS-M- RSS-5-SDP-Vn.m" for Mars Global Surveyor RSDMAP products, where "Vn.m" indicates the version number of the data set. Set to "MRO-M-RSS-5-SDP-Vn.m" for MRO. Set to "MESS-H-RSS-5-SDP-Vn.m" for MESSENGER. Set to "LP-L-RSS-5-SHGBDR-L2-Vn.m" for Lunar Prospector; Set to "GRAIL-L-LGRS-5-RDR-Vn.m" for GRAIL. ORIGINAL_PRODUCT_ID = Optional. An identifier for the product provided by the producer. Generally a file name, different from PRODUCT_ID, which would be recognized at the producer's institution. PRODUCT_ID = A unique identifier for the product within the collection identified by DATA_SET_ID. Usually the same as the value for ^IMAGE. The naming convention is defined in Section 2.3. PRODUCT_RELEASE_DATE = The date on which the product was released to the Planetary Data System; entered in the format "YYYY-MM-DD", where components are defined in Section 1.5.4.2. DESCRIPTION = A short description of the RSDMAP product. START_ORBIT_NUMBER = Optional. The first orbit represented in the RSDMAP product. An integer. STOP_ORBIT_NUMBER = Optional. The last orbit represented in the RSDMAP product. An integer. START_TIME = The Earth Receive Time at which the first sample was acquired, expressed in the format "YYYY-MM-DDThh:mm:ss.fff" where the components are defined in Section 1.5.4.2. STOP_TIME = The Earth Receive Time at which the last sample was acquired, expressed in the format "YYYY-MM-DDThh:mm:ss.fff" where the components are defined in Section 1.5.4.2. SOFTWARE_NAME = The name and version number of the program creating this RSDMAP file; expressed as a character string in the format "PROGRAM_NAME;n.mm" where "PROGRAM_NAME" is the name of the software and "n.mm" is the version number. PRODUCT_CREATION_TIME = The time at which this RSDMAP was created; expressed in the format "YYYY-MM- DDThh:mm:ss.fff" where the components are defined in Section 1.5.4.2. PRODUCER_ID = The entity responsible for creation of the RSDMAP product; for products generated by the Mars Global Surveyor Radio Science Team, set to "MGS RST"; for products generated by the GRAIL Science Data System, set to "SDS". 4.2.2. Image Object Definition The Image Object Definition in the label completely describes the accompanying Digital Map. It immediately follows the label header and has the format shown in Figure 4-2-2. Keywords are defined in [4]. There is no requirement within this document that there be any relationship among RECORD_BYTES, LINE_SAMPLES, and SAMPLE_BITS other than that the number of bytes in an image line be an integral multiple of RECORD_BYTES (Section 4.2.1). It is strongly recommended, however, that producers of RSDMAP files make the line lengths identically equal to RECORD_BYTES to ensure maximum compatibility with existing image processing software. For compatibility, producers are also encouraged to use 8- or 16-bit integer pixels rather than longer formats. |====================================================================| | | | Figure 4-2-2 RSDMAP Image Object Definition | | | |====================================================================| | | | OBJECT = IMAGE | | LINES = nnnn | | LINE_SAMPLES = nnnn | | SAMPLE_TYPE = nnnn | | SAMPLE_BITS = nnnn | | OFFSET = nnn.ff | | SCALING_FACTOR = nnn.ff | | DESCRIPTION = "cccccccccccccc" | | END_OBJECT = IMAGE | | | |====================================================================| 4.2.3. Image Map Projection Object Definition The Image Map Projection Object Definition specifies the map projection for an RSDMAP product. It is used for interpretation of the RSDMAP data; it is not required for understanding the structure of the file. It immediately follows the Image Object Definition and has the form shown in Figure 4-2-3. |====================================================================| | | | Figure 4-2-3 RSDMAP Image Map Projection Definition | | | |====================================================================| | | | OBJECT = IMAGE_MAP_PROJECTION | | ^DATA_SET_MAP_PROJECTION = "cccccccc.CAT" | | COORDINATE_SYSTEM_NAME = ccccccccccccc | | COORDINATE_SYSTEM_TYPE = ccccccccccccc | | MAP_PROJECTION_TYPE = "ccccccccccc" | | A_AXIS_RADIUS = nnn.ff | | B_AXIS_RADIUS = nnn.ff | | C_AXIS_RADIUS = nnn.ff | | FIRST_STANDARD_PARALLEL = "N/A" | | SECOND_STANDARD_PARALLEL = "N/A" | | POSITIVE_LONGITUDE_DIRECTION = ccccccccccccc | | CENTER_LATITUDE = nnn.ff | | CENTER_LONGITUDE = nnn.ff | | REFERENCE_LATITUDE = "N/A" | | REFERENCE_LONGITUDE = "N/A" | | LINE_FIRST_PIXEL = nnn | | LINE_LAST_PIXEL = nnn | | SAMPLE_FIRST_PIXEL = nnn | | SAMPLE_LAST_PIXEL = nnn | | MAP_PROJECTION_ROTATION = nnn.ff | | MAP_RESOLUTION = nnn.ff | | MAP_SCALE = nnn.ff | | MAXIMUM_LATITUDE = nnn.ff | | MINIMUM_LATITUDE = nnn.ff | | EASTERNMOST_LONGITUDE = nnn.ff | | WESTERNMOST_LONGITUDE = nnn.ff | | LINE_PROJECTION_OFFSET = nnn.ff | | SAMPLE_PROJECTION_OFFSET = nnn | | END_OBJECT = IMAGE_MAP_PROJECTION | | | |====================================================================| Keywords are defined, and standard values are given, in [4]. For Mars Global Surveyor, Mars Reconnaissance Orbiter, MESSENGER, and GRAIL RSDMAP products, the following are required: COORDINATE_SYSTEM_NAME = "PLANETOCENTRIC" COORDINATE_SYSTEM_TYPE = "BODY-FIXED ROTATING" POSITIVE_LONGITUDE_DIRECTION = "EAST" DSMP.CAT is a file stored elsewhere (in the CATALOG directory); it specifies the map projection more explicitly. 4.3 Data File The data file is the Image Object, defined in 4.2.2 and presumed to contain the digital map. Each map comprises LINES rows of LINE_SAMPLES pixels; each pixel occupies SAMPLE_BITS bits. Appendix A. Binary Data Format See PDS 3.8 Standards Reference, Appendix C.7, for the PC binary format. Appendix B. Example RSDMAP Label and Data Object B.1 Example Label PDS_VERSION_ID = PDS3 RECORD_TYPE = FIXED_LENGTH RECORD_BYTES = 5760 FILE_RECORDS = 721 ^IMAGE = ("JGGRX_0660B_ANOM_L320.IMG",1) INSTRUMENT_HOST_NAME = {"GRAVITY RECOVERY AND INTERIOR LABORATORY A", "GRAVITY RECOVERY AND INTERIOR LABORATORY B"} TARGET_NAME = "MOON" INSTRUMENT_NAME = {"LUNAR GRAVITY RANGING SYSTEM A", "LUNAR GRAVITY RANGING SYSTEM B"} DATA_SET_ID = "GRAIL-L-LGRS-5-RDR-V1.0" ORIGINAL_PRODUCT_ID = "GL0660B_ANOMALY_TRUNCATE_N=320" PRODUCT_ID = "JGGRX_0660B_ANOM_L320.IMG" PRODUCT_RELEASE_DATE = 2013-02-05 DESCRIPTION = " This file contains a digital map of the gravity anomaly derived from the JPL GL0660B model of the Moon's gravity field. Each point gives the Lunar gravity anomaly in milligals, which is the difference of the model gravity on the geoid from the gravity on a reference sphere with semi-major-axis = 1738.0 km, GM = 4902.8003055554 km**3/s**2, and zero rotation rate. The JGGRX_0660B_ANOM_320 gravity anomaly is computed from a truncated GL0660B solution (from degree 2 up to degree 320). The reference for the GL0660B gravity field is KONOPLIVETAL2013, published in the Journal of Geophysical Research with the DOI number 0.1002/jgre.20097." START_TIME = 2012-03-01T16:28:00.000 STOP_TIME = 2012-05-29T16:36:00.000 PRODUCT_CREATION_TIME = 2013-02-05T00:00:00.000 PRODUCER_ID = "JPL LEVEL-2 TEAM" OBJECT = IMAGE LINES = 721 LINE_SAMPLES = 1440 SAMPLE_TYPE = "PC_REAL" SAMPLE_BITS = 32 UNIT = "MILLIGALS" OFFSET = 0.0E+00 SCALING_FACTOR = 1.0E+00 DESCRIPTION = "The Digital Map contains values of the gravity anomaly. The values can be obtained by multiplying the sample in the map by SCALING_FACTOR and then adding OFFSET. One milligal equals 0.01 mm/s/s." END_OBJECT = IMAGE OBJECT = IMAGE_MAP_PROJECTION ^DATA_SET_MAP_PROJECTION = "DSMAP.CAT" COORDINATE_SYSTEM_TYPE = "BODY-FIXED ROTATING" COORDINATE_SYSTEM_NAME = PLANETOCENTRIC MAP_PROJECTION_TYPE = "SIMPLE CYLINDRICAL" A_AXIS_RADIUS = 1738.0 B_AXIS_RADIUS = 1738.0 C_AXIS_RADIUS = 1738.0 FIRST_STANDARD_PARALLEL = "N/A" SECOND_STANDARD_PARALLEL = "N/A" POSITIVE_LONGITUDE_DIRECTION = "EAST" CENTER_LATITUDE = 0.0 CENTER_LONGITUDE = 0.0 REFERENCE_LATITUDE = 0.0 REFERENCE_LONGITUDE = 0.0 LINE_FIRST_PIXEL = 1 LINE_LAST_PIXEL = 721 SAMPLE_FIRST_PIXEL = 1 SAMPLE_LAST_PIXEL = 1440 MAP_PROJECTION_ROTATION = 0.0 MAP_RESOLUTION = 4.0 MAP_SCALE = 7583.4556 MAXIMUM_LATITUDE = 90.0 MINIMUM_LATITUDE = -90.0 EASTERNMOST_LONGITUDE = 179.75 WESTERNMOST_LONGITUDE = -180.0 LINE_PROJECTION_OFFSET = 360.0 SAMPLE_PROJECTION_OFFSET = 719.5 END_OBJECT = IMAGE_MAP_PROJECTION END B.2 Example Data Object The list below contains the ascii dump of the first and last record or the map file cited in A.1. The first record consists of the map data at the northernmost latitude (90 degrees), sequentially from longitude -180 to 179.75 degrees. The last record contains the map data for the southern-most latitude (-90 deg) from longitude -180 to 179.75 degrees. The image file may be read directly into a GMT (Generic Mapping Tools) [10,11] grd file using the following command: (noting that the command wraps around onto a second line in this document). xyz2grd JGGRX_0660B_ANOM_L320.IMG -ZTLf -Gtest.grd -I0.25/0.25 -R-180.00/179.75/-90/90 -V xyz2grd: nx = 1440 ny = 721 xyz2grd: Working on file /home/ask/JGGRX_0660B_ANOM_L320.IMG Then, dump the binary grid file to ASCII xyz file as grd2xyz test.grd > test.xyz A GMT script to plot the img file is given below. Settings for grdimage and psscale may be changed to suit the user's needs: ======================================================== #!/bin/csh -f # xyz2grd ~ask/JGGRX_0660B_ANOM_L320.IMG -ZTLf -Gtest.grd -I0.25/0.25 -R-180.00/179.75/-90/90 -V #grd2xyz test.grd > test.xyz grdinfo -M test.grd # Create color table grd2cpt test.grd -Chaxby -L-600/600 -S-600/600/100 -Z -V > test.cpt # Create color image grdimage test.grd -Ctest.cpt -JQ0/8.0i -R-180/180/-90/90 -B30g30/30g30 -K > test.ps # Append colorscale bar psscale -Ctest.cpt -D11.0/14.0/16.0/0.3h -B:."JGGRX_0660B_ANOM_L320": -O >> test.ps # Display Postscript file display test.ps # Convert to other graphic file convert -rotate 90 test.ps test.png ...... Sample records from JGGRX_0660B_ANOM_L320.IMG rec = 1 -180 90 25.948 -179.75 90 25.948 -179.5 90 25.948 -179.25 90 25.948 -179 90 25.948 -178.75 90 25.948 -178.5 90 25.948 -178.25 90 25.948 -178 90 25.948 -177.75 90 25.948 -177.5 90 25.948 -177.25 90 25.948 -177 90 25.948 -176.75 90 25.948 -176.5 90 25.948 -176.25 90 25.948 -176 90 25.948 -175.75 90 25.948 -175.5 90 25.948 -175.25 90 25.948 -175 90 25.948 -174.75 90 25.948 -174.5 90 25.948 -174.25 90 25.948 -174 90 25.948 -173.75 90 25.948 -173.5 90 25.948 -173.25 90 25.948 -173 90 25.948 -172.75 90 25.948 -172.5 90 25.948 -172.25 90 25.948 -172 90 25.948 -171.75 90 25.948 -171.5 90 25.948 -171.25 90 25.948 -171 90 25.948 -170.75 90 25.948 -170.5 90 25.948 -170.25 90 25.948 -170 90 25.948 -169.75 90 25.948 -169.5 90 25.948 -169.25 90 25.948 -169 90 25.948 -168.75 90 25.948 -168.5 90 25.948 -168.25 90 25.948 -168 90 25.948 -167.75 90 25.948 -167.5 90 25.948 -167.25 90 25.948 -167 90 25.948 -166.75 90 25.948 -166.5 90 25.948 -166.25 90 25.948 -166 90 25.948 -165.75 90 25.948 -165.5 90 25.948 -165.25 90 25.948 -165 90 25.948 -164.75 90 25.948 -164.5 90 25.948 -164.25 90 25.948 -164 90 25.948 -163.75 90 25.948 -163.5 90 25.948 -163.25 90 25.948 -163 90 25.948 -162.75 90 25.948 -162.5 90 25.948 -162.25 90 25.948 -162 90 25.948 -161.75 90 25.948 -161.5 90 25.948 -161.25 90 25.948 -161 90 25.948 -160.75 90 25.948 -160.5 90 25.948 -160.25 90 25.948 -160 90 25.948 -159.75 90 25.948 -159.5 90 25.948 -159.25 90 25.948 -159 90 25.948 -158.75 90 25.948 -158.5 90 25.948 -158.25 90 25.948 -158 90 25.948 -157.75 90 25.948 -157.5 90 25.948 -157.25 90 25.948 -157 90 25.948 -156.75 90 25.948 -156.5 90 25.948 -156.25 90 25.948 -156 90 25.948 -155.75 90 25.948 -155.5 90 25.948 -155.25 90 25.948 -155 90 25.948 -154.75 90 25.948 -154.5 90 25.948 -154.25 90 25.948 -154 90 25.948 -153.75 90 25.948 -153.5 90 25.948 -153.25 90 25.948 -153 90 25.948 -152.75 90 25.948 -152.5 90 25.948 -152.25 90 25.948 -152 90 25.948 -151.75 90 25.948 -151.5 90 25.948 -151.25 90 25.948 -151 90 25.948 -150.75 90 25.948 -150.5 90 25.948 -150.25 90 25.948 -150 90 25.948 -149.75 90 25.948 -149.5 90 25.948 -149.25 90 25.948 -149 90 25.948 -148.75 90 25.948 -148.5 90 25.948 -148.25 90 25.948 -148 90 25.948 -147.75 90 25.948 -147.5 90 25.948 -147.25 90 25.948 -147 90 25.948 -146.75 90 25.948 -146.5 90 25.948 -146.25 90 25.948 -146 90 25.948 -145.75 90 25.948 -145.5 90 25.948 -145.25 90 25.948 -145 90 25.948 -144.75 90 25.948 -144.5 90 25.948 -144.25 90 25.948 -144 90 25.948 -143.75 90 25.948 -143.5 90 25.948 -143.25 90 25.948 -143 90 25.948 -142.75 90 25.948 -142.5 90 25.948 -142.25 90 25.948 -142 90 25.948 -141.75 90 25.948 -141.5 90 25.948 -141.25 90 25.948 -141 90 25.948 -140.75 90 25.948 -140.5 90 25.948 -140.25 90 25.948 -140 90 25.948 -139.75 90 25.948 -139.5 90 25.948 -139.25 90 25.948 -139 90 25.948 -138.75 90 25.948 -138.5 90 25.948 -138.25 90 25.948 -138 90 25.948 -137.75 90 25.948 -137.5 90 25.948 -137.25 90 25.948 -137 90 25.948 -136.75 90 25.948 -136.5 90 25.948 -136.25 90 25.948 -136 90 25.948 -135.75 90 25.948 -135.5 90 25.948 -135.25 90 25.948 -135 90 25.948 -134.75 90 25.948 -134.5 90 25.948 -134.25 90 25.948 -134 90 25.948 -133.75 90 25.948 -133.5 90 25.948 -133.25 90 25.948 -133 90 25.948 -132.75 90 25.948 -132.5 90 25.948 -132.25 90 25.948 -132 90 25.948 -131.75 90 25.948 -131.5 90 25.948 -131.25 90 25.948 -131 90 25.948 -130.75 90 25.948 -130.5 90 25.948 -130.25 90 25.948 -130 90 25.948 -129.75 90 25.948 -129.5 90 25.948 -129.25 90 25.948 -129 90 25.948 -128.75 90 25.948 -128.5 90 25.948 -128.25 90 25.948 -128 90 25.948 -127.75 90 25.948 -127.5 90 25.948 -127.25 90 25.948 -127 90 25.948 -126.75 90 25.948 -126.5 90 25.948 -126.25 90 25.948 -126 90 25.948 -125.75 90 25.948 -125.5 90 25.948 -125.25 90 25.948 -125 90 25.948 -124.75 90 25.948 -124.5 90 25.948 -124.25 90 25.948 -124 90 25.948 -123.75 90 25.948 -123.5 90 25.948 -123.25 90 25.948 -123 90 25.948 -122.75 90 25.948 -122.5 90 25.948 -122.25 90 25.948 -122 90 25.948 -121.75 90 25.948 -121.5 90 25.948 -121.25 90 25.948 -121 90 25.948 -120.75 90 25.948 -120.5 90 25.948 -120.25 90 25.948 -120 90 25.948 -119.75 90 25.948 -119.5 90 25.948 -119.25 90 25.948 -119 90 25.948 -118.75 90 25.948 -118.5 90 25.948 -118.25 90 25.948 -118 90 25.948 -117.75 90 25.948 -117.5 90 25.948 -117.25 90 25.948 -117 90 25.948 -116.75 90 25.948 -116.5 90 25.948 -116.25 90 25.948 -116 90 25.948 -115.75 90 25.948 -115.5 90 25.948 -115.25 90 25.948 -115 90 25.948 -114.75 90 25.948 -114.5 90 25.948 -114.25 90 25.948 -114 90 25.948 -113.75 90 25.948 -113.5 90 25.948 -113.25 90 25.948 -113 90 25.948 -112.75 90 25.948 -112.5 90 25.948 -112.25 90 25.948 -112 90 25.948 -111.75 90 25.948 -111.5 90 25.948 -111.25 90 25.948 -111 90 25.948 -110.75 90 25.948 -110.5 90 25.948 -110.25 90 25.948 -110 90 25.948 -109.75 90 25.948 -109.5 90 25.948 -109.25 90 25.948 -109 90 25.948 -108.75 90 25.948 -108.5 90 25.948 -108.25 90 25.948 -108 90 25.948 -107.75 90 25.948 -107.5 90 25.948 -107.25 90 25.948 -107 90 25.948 -106.75 90 25.948 -106.5 90 25.948 -106.25 90 25.948 -106 90 25.948 -105.75 90 25.948 -105.5 90 25.948 -105.25 90 25.948 -105 90 25.948 -104.75 90 25.948 -104.5 90 25.948 -104.25 90 25.948 -104 90 25.948 -103.75 90 25.948 -103.5 90 25.948 -103.25 90 25.948 -103 90 25.948 -102.75 90 25.948 -102.5 90 25.948 -102.25 90 25.948 -102 90 25.948 -101.75 90 25.948 -101.5 90 25.948 -101.25 90 25.948 -101 90 25.948 -100.75 90 25.948 -100.5 90 25.948 -100.25 90 25.948 -100 90 25.948 -99.75 90 25.948 -99.5 90 25.948 -99.25 90 25.948 -99 90 25.948 -98.75 90 25.948 -98.5 90 25.948 -98.25 90 25.948 -98 90 25.948 -97.75 90 25.948 -97.5 90 25.948 -97.25 90 25.948 -97 90 25.948 -96.75 90 25.948 -96.5 90 25.948 -96.25 90 25.948 -96 90 25.948 -95.75 90 25.948 -95.5 90 25.948 -95.25 90 25.948 -95 90 25.948 -94.75 90 25.948 -94.5 90 25.948 -94.25 90 25.948 -94 90 25.948 -93.75 90 25.948 -93.5 90 25.948 -93.25 90 25.948 -93 90 25.948 -92.75 90 25.948 -92.5 90 25.948 -92.25 90 25.948 -92 90 25.948 -91.75 90 25.948 -91.5 90 25.948 -91.25 90 25.948 -91 90 25.948 -90.75 90 25.948 -90.5 90 25.948 -90.25 90 25.948 -90 90 25.948 -89.75 90 25.948 -89.5 90 25.948 -89.25 90 25.948 -89 90 25.948 -88.75 90 25.948 -88.5 90 25.948 -88.25 90 25.948 -88 90 25.948 -87.75 90 25.948 -87.5 90 25.948 -87.25 90 25.948 -87 90 25.948 -86.75 90 25.948 -86.5 90 25.948 -86.25 90 25.948 -86 90 25.948 -85.75 90 25.948 -85.5 90 25.948 -85.25 90 25.948 -85 90 25.948 -84.75 90 25.948 -84.5 90 25.948 -84.25 90 25.948 -84 90 25.948 -83.75 90 25.948 -83.5 90 25.948 -83.25 90 25.948 -83 90 25.948 -82.75 90 25.948 -82.5 90 25.948 -82.25 90 25.948 -82 90 25.948 -81.75 90 25.948 -81.5 90 25.948 -81.25 90 25.948 -81 90 25.948 -80.75 90 25.948 -80.5 90 25.948 -80.25 90 25.948 -80 90 25.948 -79.75 90 25.948 -79.5 90 25.948 -79.25 90 25.948 -79 90 25.948 -78.75 90 25.948 -78.5 90 25.948 -78.25 90 25.948 -78 90 25.948 -77.75 90 25.948 -77.5 90 25.948 -77.25 90 25.948 -77 90 25.948 -76.75 90 25.948 -76.5 90 25.948 -76.25 90 25.948 -76 90 25.948 -75.75 90 25.948 -75.5 90 25.948 -75.25 90 25.948 -75 90 25.948 -74.75 90 25.948 -74.5 90 25.948 -74.25 90 25.948 -74 90 25.948 -73.75 90 25.948 -73.5 90 25.948 -73.25 90 25.948 -73 90 25.948 -72.75 90 25.948 -72.5 90 25.948 -72.25 90 25.948 -72 90 25.948 -71.75 90 25.948 -71.5 90 25.948 -71.25 90 25.948 -71 90 25.948 -70.75 90 25.948 -70.5 90 25.948 -70.25 90 25.948 -70 90 25.948 -69.75 90 25.948 -69.5 90 25.948 -69.25 90 25.948 -69 90 25.948 -68.75 90 25.948 -68.5 90 25.948 -68.25 90 25.948 -68 90 25.948 -67.75 90 25.948 -67.5 90 25.948 -67.25 90 25.948 -67 90 25.948 -66.75 90 25.948 -66.5 90 25.948 -66.25 90 25.948 -66 90 25.948 -65.75 90 25.948 -65.5 90 25.948 -65.25 90 25.948 -65 90 25.948 -64.75 90 25.948 -64.5 90 25.948 -64.25 90 25.948 -64 90 25.948 -63.75 90 25.948 -63.5 90 25.948 -63.25 90 25.948 -63 90 25.948 -62.75 90 25.948 -62.5 90 25.948 -62.25 90 25.948 -62 90 25.948 -61.75 90 25.948 -61.5 90 25.948 -61.25 90 25.948 -61 90 25.948 -60.75 90 25.948 -60.5 90 25.948 -60.25 90 25.948 -60 90 25.948 -59.75 90 25.948 -59.5 90 25.948 -59.25 90 25.948 -59 90 25.948 -58.75 90 25.948 -58.5 90 25.948 -58.25 90 25.948 -58 90 25.948 -57.75 90 25.948 -57.5 90 25.948 -57.25 90 25.948 -57 90 25.948 -56.75 90 25.948 -56.5 90 25.948 -56.25 90 25.948 -56 90 25.948 -55.75 90 25.948 -55.5 90 25.948 -55.25 90 25.948 -55 90 25.948 -54.75 90 25.948 -54.5 90 25.948 -54.25 90 25.948 -54 90 25.948 -53.75 90 25.948 -53.5 90 25.948 -53.25 90 25.948 -53 90 25.948 -52.75 90 25.948 -52.5 90 25.948 -52.25 90 25.948 -52 90 25.948 -51.75 90 25.948 -51.5 90 25.948 -51.25 90 25.948 -51 90 25.948 -50.75 90 25.948 -50.5 90 25.948 -50.25 90 25.948 -50 90 25.948 -49.75 90 25.948 -49.5 90 25.948 -49.25 90 25.948 -49 90 25.948 -48.75 90 25.948 -48.5 90 25.948 -48.25 90 25.948 -48 90 25.948 -47.75 90 25.948 -47.5 90 25.948 -47.25 90 25.948 -47 90 25.948 -46.75 90 25.948 -46.5 90 25.948 -46.25 90 25.948 -46 90 25.948 -45.75 90 25.948 -45.5 90 25.948 -45.25 90 25.948 -45 90 25.948 -44.75 90 25.948 -44.5 90 25.948 -44.25 90 25.948 -44 90 25.948 -43.75 90 25.948 -43.5 90 25.948 -43.25 90 25.948 -43 90 25.948 -42.75 90 25.948 -42.5 90 25.948 -42.25 90 25.948 -42 90 25.948 -41.75 90 25.948 -41.5 90 25.948 -41.25 90 25.948 -41 90 25.948 -40.75 90 25.948 -40.5 90 25.948 -40.25 90 25.948 -40 90 25.948 -39.75 90 25.948 -39.5 90 25.948 -39.25 90 25.948 -39 90 25.948 -38.75 90 25.948 -38.5 90 25.948 -38.25 90 25.948 -38 90 25.948 -37.75 90 25.948 -37.5 90 25.948 -37.25 90 25.948 -37 90 25.948 -36.75 90 25.948 -36.5 90 25.948 -36.25 90 25.948 -36 90 25.948 -35.75 90 25.948 -35.5 90 25.948 -35.25 90 25.948 -35 90 25.948 -34.75 90 25.948 -34.5 90 25.948 -34.25 90 25.948 -34 90 25.948 -33.75 90 25.948 -33.5 90 25.948 -33.25 90 25.948 -33 90 25.948 -32.75 90 25.948 -32.5 90 25.948 -32.25 90 25.948 -32 90 25.948 -31.75 90 25.948 -31.5 90 25.948 -31.25 90 25.948 -31 90 25.948 -30.75 90 25.948 -30.5 90 25.948 -30.25 90 25.948 -30 90 25.948 -29.75 90 25.948 -29.5 90 25.948 -29.25 90 25.948 -29 90 25.948 -28.75 90 25.948 -28.5 90 25.948 -28.25 90 25.948 -28 90 25.948 -27.75 90 25.948 -27.5 90 25.948 -27.25 90 25.948 -27 90 25.948 -26.75 90 25.948 -26.5 90 25.948 -26.25 90 25.948 -26 90 25.948 -25.75 90 25.948 -25.5 90 25.948 -25.25 90 25.948 -25 90 25.948 -24.75 90 25.948 -24.5 90 25.948 -24.25 90 25.948 -24 90 25.948 -23.75 90 25.948 -23.5 90 25.948 -23.25 90 25.948 -23 90 25.948 -22.75 90 25.948 -22.5 90 25.948 -22.25 90 25.948 -22 90 25.948 -21.75 90 25.948 -21.5 90 25.948 -21.25 90 25.948 -21 90 25.948 -20.75 90 25.948 -20.5 90 25.948 -20.25 90 25.948 -20 90 25.948 -19.75 90 25.948 -19.5 90 25.948 -19.25 90 25.948 -19 90 25.948 -18.75 90 25.948 -18.5 90 25.948 -18.25 90 25.948 -18 90 25.948 -17.75 90 25.948 -17.5 90 25.948 -17.25 90 25.948 -17 90 25.948 -16.75 90 25.948 -16.5 90 25.948 -16.25 90 25.948 -16 90 25.948 -15.75 90 25.948 -15.5 90 25.948 -15.25 90 25.948 -15 90 25.948 -14.75 90 25.948 -14.5 90 25.948 -14.25 90 25.948 -14 90 25.948 -13.75 90 25.948 -13.5 90 25.948 -13.25 90 25.948 -13 90 25.948 -12.75 90 25.948 -12.5 90 25.948 -12.25 90 25.948 -12 90 25.948 -11.75 90 25.948 -11.5 90 25.948 -11.25 90 25.948 -11 90 25.948 -10.75 90 25.948 -10.5 90 25.948 -10.25 90 25.948 -10 90 25.948 -9.75 90 25.948 -9.5 90 25.948 -9.25 90 25.948 -9 90 25.948 -8.75 90 25.948 -8.5 90 25.948 -8.25 90 25.948 -8 90 25.948 -7.75 90 25.948 -7.5 90 25.948 -7.25 90 25.948 -7 90 25.948 -6.75 90 25.948 -6.5 90 25.948 -6.25 90 25.948 -6 90 25.948 -5.75 90 25.948 -5.5 90 25.948 -5.25 90 25.948 -5 90 25.948 -4.75 90 25.948 -4.5 90 25.948 -4.25 90 25.948 -4 90 25.948 -3.75 90 25.948 -3.5 90 25.948 -3.25 90 25.948 -3 90 25.948 -2.75 90 25.948 -2.5 90 25.948 -2.25 90 25.948 -2 90 25.948 -1.75 90 25.948 -1.5 90 25.948 -1.25 90 25.948 -1 90 25.948 -0.75 90 25.948 -0.5 90 25.948 -0.25 90 25.948 0 90 25.948 0.25 90 25.948 0.5 90 25.948 0.75 90 25.948 1 90 25.948 1.25 90 25.948 1.5 90 25.948 1.75 90 25.948 2 90 25.948 2.25 90 25.948 2.5 90 25.948 2.75 90 25.948 3 90 25.948 3.25 90 25.948 3.5 90 25.948 3.75 90 25.948 4 90 25.948 4.25 90 25.948 4.5 90 25.948 4.75 90 25.948 5 90 25.948 5.25 90 25.948 5.5 90 25.948 5.75 90 25.948 6 90 25.948 6.25 90 25.948 6.5 90 25.948 6.75 90 25.948 7 90 25.948 7.25 90 25.948 7.5 90 25.948 7.75 90 25.948 8 90 25.948 8.25 90 25.948 8.5 90 25.948 8.75 90 25.948 9 90 25.948 9.25 90 25.948 9.5 90 25.948 9.75 90 25.948 10 90 25.948 10.25 90 25.948 10.5 90 25.948 10.75 90 25.948 11 90 25.948 11.25 90 25.948 11.5 90 25.948 11.75 90 25.948 12 90 25.948 12.25 90 25.948 12.5 90 25.948 12.75 90 25.948 13 90 25.948 13.25 90 25.948 13.5 90 25.948 13.75 90 25.948 14 90 25.948 14.25 90 25.948 14.5 90 25.948 14.75 90 25.948 15 90 25.948 15.25 90 25.948 15.5 90 25.948 15.75 90 25.948 16 90 25.948 16.25 90 25.948 16.5 90 25.948 16.75 90 25.948 17 90 25.948 17.25 90 25.948 17.5 90 25.948 17.75 90 25.948 18 90 25.948 18.25 90 25.948 18.5 90 25.948 18.75 90 25.948 19 90 25.948 19.25 90 25.948 19.5 90 25.948 19.75 90 25.948 20 90 25.948 20.25 90 25.948 20.5 90 25.948 20.75 90 25.948 21 90 25.948 21.25 90 25.948 21.5 90 25.948 21.75 90 25.948 22 90 25.948 22.25 90 25.948 22.5 90 25.948 22.75 90 25.948 23 90 25.948 23.25 90 25.948 23.5 90 25.948 23.75 90 25.948 24 90 25.948 24.25 90 25.948 24.5 90 25.948 24.75 90 25.948 25 90 25.948 25.25 90 25.948 25.5 90 25.948 25.75 90 25.948 26 90 25.948 26.25 90 25.948 26.5 90 25.948 26.75 90 25.948 27 90 25.948 27.25 90 25.948 27.5 90 25.948 27.75 90 25.948 28 90 25.948 28.25 90 25.948 28.5 90 25.948 28.75 90 25.948 29 90 25.948 29.25 90 25.948 29.5 90 25.948 29.75 90 25.948 30 90 25.948 30.25 90 25.948 30.5 90 25.948 30.75 90 25.948 31 90 25.948 31.25 90 25.948 31.5 90 25.948 31.75 90 25.948 32 90 25.948 32.25 90 25.948 32.5 90 25.948 32.75 90 25.948 33 90 25.948 33.25 90 25.948 33.5 90 25.948 33.75 90 25.948 34 90 25.948 34.25 90 25.948 34.5 90 25.948 34.75 90 25.948 35 90 25.948 35.25 90 25.948 35.5 90 25.948 35.75 90 25.948 36 90 25.948 36.25 90 25.948 36.5 90 25.948 36.75 90 25.948 37 90 25.948 37.25 90 25.948 37.5 90 25.948 37.75 90 25.948 38 90 25.948 38.25 90 25.948 38.5 90 25.948 38.75 90 25.948 39 90 25.948 39.25 90 25.948 39.5 90 25.948 39.75 90 25.948 40 90 25.948 40.25 90 25.948 40.5 90 25.948 40.75 90 25.948 41 90 25.948 41.25 90 25.948 41.5 90 25.948 41.75 90 25.948 42 90 25.948 42.25 90 25.948 42.5 90 25.948 42.75 90 25.948 43 90 25.948 43.25 90 25.948 43.5 90 25.948 43.75 90 25.948 44 90 25.948 44.25 90 25.948 44.5 90 25.948 44.75 90 25.948 45 90 25.948 45.25 90 25.948 45.5 90 25.948 45.75 90 25.948 46 90 25.948 46.25 90 25.948 46.5 90 25.948 46.75 90 25.948 47 90 25.948 47.25 90 25.948 47.5 90 25.948 47.75 90 25.948 48 90 25.948 48.25 90 25.948 48.5 90 25.948 48.75 90 25.948 49 90 25.948 49.25 90 25.948 49.5 90 25.948 49.75 90 25.948 50 90 25.948 50.25 90 25.948 50.5 90 25.948 50.75 90 25.948 51 90 25.948 51.25 90 25.948 51.5 90 25.948 51.75 90 25.948 52 90 25.948 52.25 90 25.948 52.5 90 25.948 52.75 90 25.948 53 90 25.948 53.25 90 25.948 53.5 90 25.948 53.75 90 25.948 54 90 25.948 54.25 90 25.948 54.5 90 25.948 54.75 90 25.948 55 90 25.948 55.25 90 25.948 55.5 90 25.948 55.75 90 25.948 56 90 25.948 56.25 90 25.948 56.5 90 25.948 56.75 90 25.948 57 90 25.948 57.25 90 25.948 57.5 90 25.948 57.75 90 25.948 58 90 25.948 58.25 90 25.948 58.5 90 25.948 58.75 90 25.948 59 90 25.948 59.25 90 25.948 59.5 90 25.948 59.75 90 25.948 60 90 25.948 60.25 90 25.948 60.5 90 25.948 60.75 90 25.948 61 90 25.948 61.25 90 25.948 61.5 90 25.948 61.75 90 25.948 62 90 25.948 62.25 90 25.948 62.5 90 25.948 62.75 90 25.948 63 90 25.948 63.25 90 25.948 63.5 90 25.948 63.75 90 25.948 64 90 25.948 64.25 90 25.948 64.5 90 25.948 64.75 90 25.948 65 90 25.948 65.25 90 25.948 65.5 90 25.948 65.75 90 25.948 66 90 25.948 66.25 90 25.948 66.5 90 25.948 66.75 90 25.948 67 90 25.948 67.25 90 25.948 67.5 90 25.948 67.75 90 25.948 68 90 25.948 68.25 90 25.948 68.5 90 25.948 68.75 90 25.948 69 90 25.948 69.25 90 25.948 69.5 90 25.948 69.75 90 25.948 70 90 25.948 70.25 90 25.948 70.5 90 25.948 70.75 90 25.948 71 90 25.948 71.25 90 25.948 71.5 90 25.948 71.75 90 25.948 72 90 25.948 72.25 90 25.948 72.5 90 25.948 72.75 90 25.948 73 90 25.948 73.25 90 25.948 73.5 90 25.948 73.75 90 25.948 74 90 25.948 74.25 90 25.948 74.5 90 25.948 74.75 90 25.948 75 90 25.948 75.25 90 25.948 75.5 90 25.948 75.75 90 25.948 76 90 25.948 76.25 90 25.948 76.5 90 25.948 76.75 90 25.948 77 90 25.948 77.25 90 25.948 77.5 90 25.948 77.75 90 25.948 78 90 25.948 78.25 90 25.948 78.5 90 25.948 78.75 90 25.948 79 90 25.948 79.25 90 25.948 79.5 90 25.948 79.75 90 25.948 80 90 25.948 80.25 90 25.948 80.5 90 25.948 80.75 90 25.948 81 90 25.948 81.25 90 25.948 81.5 90 25.948 81.75 90 25.948 82 90 25.948 82.25 90 25.948 82.5 90 25.948 82.75 90 25.948 83 90 25.948 83.25 90 25.948 83.5 90 25.948 83.75 90 25.948 84 90 25.948 84.25 90 25.948 84.5 90 25.948 84.75 90 25.948 85 90 25.948 85.25 90 25.948 85.5 90 25.948 85.75 90 25.948 86 90 25.948 86.25 90 25.948 86.5 90 25.948 86.75 90 25.948 87 90 25.948 87.25 90 25.948 87.5 90 25.948 87.75 90 25.948 88 90 25.948 88.25 90 25.948 88.5 90 25.948 88.75 90 25.948 89 90 25.948 89.25 90 25.948 89.5 90 25.948 89.75 90 25.948 90 90 25.948 90.25 90 25.948 90.5 90 25.948 90.75 90 25.948 91 90 25.948 91.25 90 25.948 91.5 90 25.948 91.75 90 25.948 92 90 25.948 92.25 90 25.948 92.5 90 25.948 92.75 90 25.948 93 90 25.948 93.25 90 25.948 93.5 90 25.948 93.75 90 25.948 94 90 25.948 94.25 90 25.948 94.5 90 25.948 94.75 90 25.948 95 90 25.948 95.25 90 25.948 95.5 90 25.948 95.75 90 25.948 96 90 25.948 96.25 90 25.948 96.5 90 25.948 96.75 90 25.948 97 90 25.948 97.25 90 25.948 97.5 90 25.948 97.75 90 25.948 98 90 25.948 98.25 90 25.948 98.5 90 25.948 98.75 90 25.948 99 90 25.948 99.25 90 25.948 99.5 90 25.948 99.75 90 25.948 100 90 25.948 100.25 90 25.948 100.5 90 25.948 100.75 90 25.948 101 90 25.948 101.25 90 25.948 101.5 90 25.948 101.75 90 25.948 102 90 25.948 102.25 90 25.948 102.5 90 25.948 102.75 90 25.948 103 90 25.948 103.25 90 25.948 103.5 90 25.948 103.75 90 25.948 104 90 25.948 104.25 90 25.948 104.5 90 25.948 104.75 90 25.948 105 90 25.948 105.25 90 25.948 105.5 90 25.948 105.75 90 25.948 106 90 25.948 106.25 90 25.948 106.5 90 25.948 106.75 90 25.948 107 90 25.948 107.25 90 25.948 107.5 90 25.948 107.75 90 25.948 108 90 25.948 108.25 90 25.948 108.5 90 25.948 108.75 90 25.948 109 90 25.948 109.25 90 25.948 109.5 90 25.948 109.75 90 25.948 110 90 25.948 110.25 90 25.948 110.5 90 25.948 110.75 90 25.948 111 90 25.948 111.25 90 25.948 111.5 90 25.948 111.75 90 25.948 112 90 25.948 112.25 90 25.948 112.5 90 25.948 112.75 90 25.948 113 90 25.948 113.25 90 25.948 113.5 90 25.948 113.75 90 25.948 114 90 25.948 114.25 90 25.948 114.5 90 25.948 114.75 90 25.948 115 90 25.948 115.25 90 25.948 115.5 90 25.948 115.75 90 25.948 116 90 25.948 116.25 90 25.948 116.5 90 25.948 116.75 90 25.948 117 90 25.948 117.25 90 25.948 117.5 90 25.948 117.75 90 25.948 118 90 25.948 118.25 90 25.948 118.5 90 25.948 118.75 90 25.948 119 90 25.948 119.25 90 25.948 119.5 90 25.948 119.75 90 25.948 120 90 25.948 120.25 90 25.948 120.5 90 25.948 120.75 90 25.948 121 90 25.948 121.25 90 25.948 121.5 90 25.948 121.75 90 25.948 122 90 25.948 122.25 90 25.948 122.5 90 25.948 122.75 90 25.948 123 90 25.948 123.25 90 25.948 123.5 90 25.948 123.75 90 25.948 124 90 25.948 124.25 90 25.948 124.5 90 25.948 124.75 90 25.948 125 90 25.948 125.25 90 25.948 125.5 90 25.948 125.75 90 25.948 126 90 25.948 126.25 90 25.948 126.5 90 25.948 126.75 90 25.948 127 90 25.948 127.25 90 25.948 127.5 90 25.948 127.75 90 25.948 128 90 25.948 128.25 90 25.948 128.5 90 25.948 128.75 90 25.948 129 90 25.948 129.25 90 25.948 129.5 90 25.948 129.75 90 25.948 130 90 25.948 130.25 90 25.948 130.5 90 25.948 130.75 90 25.948 131 90 25.948 131.25 90 25.948 131.5 90 25.948 131.75 90 25.948 132 90 25.948 132.25 90 25.948 132.5 90 25.948 132.75 90 25.948 133 90 25.948 133.25 90 25.948 133.5 90 25.948 133.75 90 25.948 134 90 25.948 134.25 90 25.948 134.5 90 25.948 134.75 90 25.948 135 90 25.948 135.25 90 25.948 135.5 90 25.948 135.75 90 25.948 136 90 25.948 136.25 90 25.948 136.5 90 25.948 136.75 90 25.948 137 90 25.948 137.25 90 25.948 137.5 90 25.948 137.75 90 25.948 138 90 25.948 138.25 90 25.948 138.5 90 25.948 138.75 90 25.948 139 90 25.948 139.25 90 25.948 139.5 90 25.948 139.75 90 25.948 140 90 25.948 140.25 90 25.948 140.5 90 25.948 140.75 90 25.948 141 90 25.948 141.25 90 25.948 141.5 90 25.948 141.75 90 25.948 142 90 25.948 142.25 90 25.948 142.5 90 25.948 142.75 90 25.948 143 90 25.948 143.25 90 25.948 143.5 90 25.948 143.75 90 25.948 144 90 25.948 144.25 90 25.948 144.5 90 25.948 144.75 90 25.948 145 90 25.948 145.25 90 25.948 145.5 90 25.948 145.75 90 25.948 146 90 25.948 146.25 90 25.948 146.5 90 25.948 146.75 90 25.948 147 90 25.948 147.25 90 25.948 147.5 90 25.948 147.75 90 25.948 148 90 25.948 148.25 90 25.948 148.5 90 25.948 148.75 90 25.948 149 90 25.948 149.25 90 25.948 149.5 90 25.948 149.75 90 25.948 150 90 25.948 150.25 90 25.948 150.5 90 25.948 150.75 90 25.948 151 90 25.948 151.25 90 25.948 151.5 90 25.948 151.75 90 25.948 152 90 25.948 152.25 90 25.948 152.5 90 25.948 152.75 90 25.948 153 90 25.948 153.25 90 25.948 153.5 90 25.948 153.75 90 25.948 154 90 25.948 154.25 90 25.948 154.5 90 25.948 154.75 90 25.948 155 90 25.948 155.25 90 25.948 155.5 90 25.948 155.75 90 25.948 156 90 25.948 156.25 90 25.948 156.5 90 25.948 156.75 90 25.948 157 90 25.948 157.25 90 25.948 157.5 90 25.948 157.75 90 25.948 158 90 25.948 158.25 90 25.948 158.5 90 25.948 158.75 90 25.948 159 90 25.948 159.25 90 25.948 159.5 90 25.948 159.75 90 25.948 160 90 25.948 160.25 90 25.948 160.5 90 25.948 160.75 90 25.948 161 90 25.948 161.25 90 25.948 161.5 90 25.948 161.75 90 25.948 162 90 25.948 162.25 90 25.948 162.5 90 25.948 162.75 90 25.948 163 90 25.948 163.25 90 25.948 163.5 90 25.948 163.75 90 25.948 164 90 25.948 164.25 90 25.948 164.5 90 25.948 164.75 90 25.948 165 90 25.948 165.25 90 25.948 165.5 90 25.948 165.75 90 25.948 166 90 25.948 166.25 90 25.948 166.5 90 25.948 166.75 90 25.948 167 90 25.948 167.25 90 25.948 167.5 90 25.948 167.75 90 25.948 168 90 25.948 168.25 90 25.948 168.5 90 25.948 168.75 90 25.948 169 90 25.948 169.25 90 25.948 169.5 90 25.948 169.75 90 25.948 170 90 25.948 170.25 90 25.948 170.5 90 25.948 170.75 90 25.948 171 90 25.948 171.25 90 25.948 171.5 90 25.948 171.75 90 25.948 172 90 25.948 172.25 90 25.948 172.5 90 25.948 172.75 90 25.948 173 90 25.948 173.25 90 25.948 173.5 90 25.948 173.75 90 25.948 174 90 25.948 174.25 90 25.948 174.5 90 25.948 174.75 90 25.948 175 90 25.948 175.25 90 25.948 175.5 90 25.948 175.75 90 25.948 176 90 25.948 176.25 90 25.948 176.5 90 25.948 176.75 90 25.948 177 90 25.948 177.25 90 25.948 177.5 90 25.948 177.75 90 25.948 178 90 25.948 178.25 90 25.948 178.5 90 25.948 178.75 90 25.948 179 90 25.948 179.25 90 25.948 179.5 90 25.948 179.75 90 25.948 rec = 721 -180 -90 84.85 -179.75 -90 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