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

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1.75 90   25.948

2    90   25.948

2.25 90   25.948

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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

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4.75 90   25.948

5    90   25.948

5.25 90   25.948

5.5  90   25.948

5.75 90   25.948

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6.25 90   25.948

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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

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8.75 90   25.948

9    90   25.948

9.25 90   25.948

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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

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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

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20.25 90   25.948

20.5 90   25.948

20.75 90   25.948

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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   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

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42.25 -90   84.85

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43.25 -90   84.85

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44.25 -90   84.85

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45.25 -90   84.85

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45.75 -90   84.85

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46.25 -90   84.85

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46.75 -90   84.85

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47.25 -90   84.85

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47.75 -90   84.85

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48.25 -90   84.85

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48.75 -90   84.85

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49.25 -90   84.85

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49.75 -90   84.85

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50.25 -90   84.85

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50.75 -90   84.85

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51.25 -90   84.85

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51.75 -90   84.85

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52.25 -90   84.85

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52.75 -90   84.85

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53.25 -90   84.85

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53.75 -90   84.85

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54.25 -90   84.85

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54.75 -90   84.85

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55.25 -90   84.85

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55.75 -90   84.85

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57.25 -90   84.85

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57.75 -90   84.85

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59.25 -90   84.85

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63.75 -90   84.85

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67.25 -90   84.85

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73.25 -90   84.85

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81.25 -90   84.85

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139.25      -90   84.85

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141.25      -90   84.85

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143.25      -90   84.85

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147.25      -90   84.85

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156.25      -90   84.85

156.5 -90   84.85

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162.75      -90   84.85

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164.25      -90   84.85

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165.25      -90   84.85

165.5 -90   84.85

165.75      -90   84.85

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166.25      -90   84.85

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166.75      -90   84.85

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167.25      -90   84.85

167.5 -90   84.85

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169.25      -90   84.85

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170.25      -90   84.85

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170.75      -90   84.85

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171.25      -90   84.85

171.5 -90   84.85

171.75      -90   84.85

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172.75      -90   84.85

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173.25      -90   84.85

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174.25      -90   84.85

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177.75      -90   84.85

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178.25      -90   84.85

178.5 -90   84.85

178.75      -90   84.85

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179.25      -90   84.85

179.5 -90   84.85

179.75      -90   84.85