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 <unit>                    |
|    B_AXIS_RADIUS                = nnn.ff <unit>                    |
|    C_AXIS_RADIUS                = nnn.ff <unit>                    |
|    FIRST_STANDARD_PARALLEL      = "N/A"                            |
|    SECOND_STANDARD_PARALLEL     = "N/A"                            |
|    POSITIVE_LONGITUDE_DIRECTION = ccccccccccccc                    |
|    CENTER_LATITUDE              = nnn.ff <unit>                    |
|    CENTER_LONGITUDE             = nnn.ff <unit>                    |
|    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 <unit>                    |
|    MAP_RESOLUTION               = nnn.ff <unit>                    |
|    MAP_SCALE                    = nnn.ff <unit>                    |
|    MAXIMUM_LATITUDE             = nnn.ff <unit>                    |
|    MINIMUM_LATITUDE             = nnn.ff <unit>                    |
|    EASTERNMOST_LONGITUDE        = nnn.ff <unit>                    |
|    WESTERNMOST_LONGITUDE        = nnn.ff <unit>                    |
|    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 <km>
  B_AXIS_RADIUS                = 1738.0 <km>
  C_AXIS_RADIUS                = 1738.0 <km>
  FIRST_STANDARD_PARALLEL      = "N/A"
  SECOND_STANDARD_PARALLEL     = "N/A"
  POSITIVE_LONGITUDE_DIRECTION = "EAST"
  CENTER_LATITUDE              = 0.0 <DEGREE>
  CENTER_LONGITUDE             = 0.0 <DEGREE>
  REFERENCE_LATITUDE           = 0.0 <DEGREE>
  REFERENCE_LONGITUDE          = 0.0 <DEGREE>
  LINE_FIRST_PIXEL             = 1
  LINE_LAST_PIXEL              = 721
  SAMPLE_FIRST_PIXEL           = 1
  SAMPLE_LAST_PIXEL            = 1440
  MAP_PROJECTION_ROTATION      = 0.0 <DEGREE>
  MAP_RESOLUTION               = 4.0 <PIXEL/DEG>
  MAP_SCALE                    = 7583.4556 <M/PIXEL>
  MAXIMUM_LATITUDE             = 90.0 <DEGREE>
  MINIMUM_LATITUDE             = -90.0 <DEGREE>
  EASTERNMOST_LONGITUDE        = 179.75 <DEGREE>
  WESTERNMOST_LONGITUDE        = -180.0 <DEGREE>
  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
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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   84.85
-179.5      -90   84.85
-179.25     -90   84.85
-179  -90   84.85
-178.75     -90   84.85
-178.5      -90   84.85
-178.25     -90   84.85
-178  -90   84.85
-177.75     -90   84.85
-177.5      -90   84.85
-177.25     -90   84.85
-177  -90   84.85
-176.75     -90   84.85
-176.5      -90   84.85
-176.25     -90   84.85
-176  -90   84.85
-175.75     -90   84.85
-175.5      -90   84.85
-175.25     -90   84.85
-175  -90   84.85
-174.75     -90   84.85
-174.5      -90   84.85
-174.25     -90   84.85
-174  -90   84.85
-173.75     -90   84.85
-173.5      -90   84.85
-173.25     -90   84.85
-173  -90   84.85
-172.75     -90   84.85
-172.5      -90   84.85
-172.25     -90   84.85
-172  -90   84.85
-171.75     -90   84.85
-171.5      -90   84.85
-171.25     -90   84.85
-171  -90   84.85
-170.75     -90   84.85
-170.5      -90   84.85
-170.25     -90   84.85
-170  -90   84.85
-169.75     -90   84.85
-169.5      -90   84.85
-169.25     -90   84.85
-169  -90   84.85
-168.75     -90   84.85
-168.5      -90   84.85
-168.25     -90   84.85
-168  -90   84.85
-167.75     -90   84.85
-167.5      -90   84.85
-167.25     -90   84.85
-167  -90   84.85
-166.75     -90   84.85
-166.5      -90   84.85
-166.25     -90   84.85
-166  -90   84.85
-165.75     -90   84.85
-165.5      -90   84.85
-165.25     -90   84.85
-165  -90   84.85
-164.75     -90   84.85
-164.5      -90   84.85
-164.25     -90   84.85
-164  -90   84.85
-163.75     -90   84.85
-163.5      -90   84.85
-163.25     -90   84.85
-163  -90   84.85
-162.75     -90   84.85
-162.5      -90   84.85
-162.25     -90   84.85
-162  -90   84.85
-161.75     -90   84.85
-161.5      -90   84.85
-161.25     -90   84.85
-161  -90   84.85
-160.75     -90   84.85
-160.5      -90   84.85
-160.25     -90   84.85
-160  -90   84.85
-159.75     -90   84.85
-159.5      -90   84.85
-159.25     -90   84.85
-159  -90   84.85
-158.75     -90   84.85
-158.5      -90   84.85
-158.25     -90   84.85
-158  -90   84.85
-157.75     -90   84.85
-157.5      -90   84.85
-157.25     -90   84.85
-157  -90   84.85
-156.75     -90   84.85
-156.5      -90   84.85
-156.25     -90   84.85
-156  -90   84.85
-155.75     -90   84.85
-155.5      -90   84.85
-155.25     -90   84.85
-155  -90   84.85
-154.75     -90   84.85
-154.5      -90   84.85
-154.25     -90   84.85
-154  -90   84.85
-153.75     -90   84.85
-153.5      -90   84.85
-153.25     -90   84.85
-153  -90   84.85
-152.75     -90   84.85
-152.5      -90   84.85
-152.25     -90   84.85
-152  -90   84.85
-151.75     -90   84.85
-151.5      -90   84.85
-151.25     -90   84.85
-151  -90   84.85
-150.75     -90   84.85
-150.5      -90   84.85
-150.25     -90   84.85
-150  -90   84.85
-149.75     -90   84.85
-149.5      -90   84.85
-149.25     -90   84.85
-149  -90   84.85
-148.75     -90   84.85
-148.5      -90   84.85
-148.25     -90   84.85
-148  -90   84.85
-147.75     -90   84.85
-147.5      -90   84.85
-147.25     -90   84.85
-147  -90   84.85
-146.75     -90   84.85
-146.5      -90   84.85
-146.25     -90   84.85
-146  -90   84.85
-145.75     -90   84.85
-145.5      -90   84.85
-145.25     -90   84.85
-145  -90   84.85
-144.75     -90   84.85
-144.5      -90   84.85
-144.25     -90   84.85
-144  -90   84.85
-143.75     -90   84.85
-143.5      -90   84.85
-143.25     -90   84.85
-143  -90   84.85
-142.75     -90   84.85
-142.5      -90   84.85
-142.25     -90   84.85
-142  -90   84.85
-141.75     -90   84.85
-141.5      -90   84.85
-141.25     -90   84.85
-141  -90   84.85
-140.75     -90   84.85
-140.5      -90   84.85
-140.25     -90   84.85
-140  -90   84.85
-139.75     -90   84.85
-139.5      -90   84.85
-139.25     -90   84.85
-139  -90   84.85
-138.75     -90   84.85
-138.5      -90   84.85
-138.25     -90   84.85
-138  -90   84.85
-137.75     -90   84.85
-137.5      -90   84.85
-137.25     -90   84.85
-137  -90   84.85
-136.75     -90   84.85
-136.5      -90   84.85
-136.25     -90   84.85
-136  -90   84.85
-135.75     -90   84.85
-135.5      -90   84.85
-135.25     -90   84.85
-135  -90   84.85
-134.75     -90   84.85
-134.5      -90   84.85
-134.25     -90   84.85
-134  -90   84.85
-133.75     -90   84.85
-133.5      -90   84.85
-133.25     -90   84.85
-133  -90   84.85
-132.75     -90   84.85
-132.5      -90   84.85
-132.25     -90   84.85
-132  -90   84.85
-131.75     -90   84.85
-131.5      -90   84.85
-131.25     -90   84.85
-131  -90   84.85
-130.75     -90   84.85
-130.5      -90   84.85
-130.25     -90   84.85
-130  -90   84.85
-129.75     -90   84.85
-129.5      -90   84.85
-129.25     -90   84.85
-129  -90   84.85
-128.75     -90   84.85
-128.5      -90   84.85
-128.25     -90   84.85
-128  -90   84.85
-127.75     -90   84.85
-127.5      -90   84.85
-127.25     -90   84.85
-127  -90   84.85
-126.75     -90   84.85
-126.5      -90   84.85
-126.25     -90   84.85
-126  -90   84.85
-125.75     -90   84.85
-125.5      -90   84.85
-125.25     -90   84.85
-125  -90   84.85
-124.75     -90   84.85
-124.5      -90   84.85
-124.25     -90   84.85
-124  -90   84.85
-123.75     -90   84.85
-123.5      -90   84.85
-123.25     -90   84.85
-123  -90   84.85
-122.75     -90   84.85
-122.5      -90   84.85
-122.25     -90   84.85
-122  -90   84.85
-121.75     -90   84.85
-121.5      -90   84.85
-121.25     -90   84.85
-121  -90   84.85
-120.75     -90   84.85
-120.5      -90   84.85
-120.25     -90   84.85
-120  -90   84.85
-119.75     -90   84.85
-119.5      -90   84.85
-119.25     -90   84.85
-119  -90   84.85
-118.75     -90   84.85
-118.5      -90   84.85
-118.25     -90   84.85
-118  -90   84.85
-117.75     -90   84.85
-117.5      -90   84.85
-117.25     -90   84.85
-117  -90   84.85
-116.75     -90   84.85
-116.5      -90   84.85
-116.25     -90   84.85
-116  -90   84.85
-115.75     -90   84.85
-115.5      -90   84.85
-115.25     -90   84.85
-115  -90   84.85
-114.75     -90   84.85
-114.5      -90   84.85
-114.25     -90   84.85
-114  -90   84.85
-113.75     -90   84.85
-113.5      -90   84.85
-113.25     -90   84.85
-113  -90   84.85
-112.75     -90   84.85
-112.5      -90   84.85
-112.25     -90   84.85
-112  -90   84.85
-111.75     -90   84.85
-111.5      -90   84.85
-111.25     -90   84.85
-111  -90   84.85
-110.75     -90   84.85
-110.5      -90   84.85
-110.25     -90   84.85
-110  -90   84.85
-109.75     -90   84.85
-109.5      -90   84.85
-109.25     -90   84.85
-109  -90   84.85
-108.75     -90   84.85
-108.5      -90   84.85
-108.25     -90   84.85
-108  -90   84.85
-107.75     -90   84.85
-107.5      -90   84.85
-107.25     -90   84.85
-107  -90   84.85
-106.75     -90   84.85
-106.5      -90   84.85
-106.25     -90   84.85
-106  -90   84.85
-105.75     -90   84.85
-105.5      -90   84.85
-105.25     -90   84.85
-105  -90   84.85
-104.75     -90   84.85
-104.5      -90   84.85
-104.25     -90   84.85
-104  -90   84.85
-103.75     -90   84.85
-103.5      -90   84.85
-103.25     -90   84.85
-103  -90   84.85
-102.75     -90   84.85
-102.5      -90   84.85
-102.25     -90   84.85
-102  -90   84.85
-101.75     -90   84.85
-101.5      -90   84.85
-101.25     -90   84.85
-101  -90   84.85
-100.75     -90   84.85
-100.5      -90   84.85
-100.25     -90   84.85
-100  -90   84.85
-99.75      -90   84.85
-99.5 -90   84.85
-99.25      -90   84.85
-99   -90   84.85
-98.75      -90   84.85
-98.5 -90   84.85
-98.25      -90   84.85
-98   -90   84.85
-97.75      -90   84.85
-97.5 -90   84.85
-97.25      -90   84.85
-97   -90   84.85
-96.75      -90   84.85
-96.5 -90   84.85
-96.25      -90   84.85
-96   -90   84.85
-95.75      -90   84.85
-95.5 -90   84.85
-95.25      -90   84.85
-95   -90   84.85
-94.75      -90   84.85
-94.5 -90   84.85
-94.25      -90   84.85
-94   -90   84.85
-93.75      -90   84.85
-93.5 -90   84.85
-93.25      -90   84.85
-93   -90   84.85
-92.75      -90   84.85
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83.25 -90   84.85
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83.75 -90   84.85
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101.25      -90   84.85
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102   -90   84.85
102.25      -90   84.85
102.5 -90   84.85
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103   -90   84.85
103.25      -90   84.85
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133.25      -90   84.85
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137.5 -90   84.85
137.75      -90   84.85
138   -90   84.85
138.25      -90   84.85
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139   -90   84.85
139.25      -90   84.85
139.5 -90   84.85
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162   -90   84.85
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163   -90   84.85
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167.25      -90   84.85
167.5 -90   84.85
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169.5 -90   84.85
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170.5 -90   84.85
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171.25      -90   84.85
171.5 -90   84.85
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172   -90   84.85
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172.5 -90   84.85
172.75      -90   84.85
173   -90   84.85
173.25      -90   84.85
173.5 -90   84.85
173.75      -90   84.85
174   -90   84.85
174.25      -90   84.85
174.5 -90   84.85
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175   -90   84.85
175.25      -90   84.85
175.5 -90   84.85
175.75      -90   84.85
176   -90   84.85
176.25      -90   84.85
176.5 -90   84.85
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177   -90   84.85
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177.5 -90   84.85
177.75      -90   84.85
178   -90   84.85
178.25      -90   84.85
178.5 -90   84.85
178.75      -90   84.85
179   -90   84.85
179.25      -90   84.85
179.5 -90   84.85
179.75      -90   84.85