KPL/FK Topocentric Reference Frame Definition Kernel for DSN Stations ===================================================================== Original file name: earth_topo_050714.tf Creation date: 2005 July 14 21:00 Created by: Nat Bachman (NAIF/JPL) Introduction ===================================================================== This file defines topocentric reference frames associated with each of the DSN stations cited in the list below under "Position Data." Each topocentric reference frame ("frame" for short) is centered at the associated station and is fixed to the earth. Mathematically, a frame "definition" is a specification of the orientation of the frame relative to another frame. In this file, the other frame, which we'll refer to as the "base frame," is the terrestrial reference frame ITRF93. The orientation of a topocentric frame relative to the base frame relies on a reference spheroid (see "Data Sources" below). The z-axis of the topocentric frame contains the station location and is normal to the reference spheroid: the line containing the z-axis intersects the reference spheroid at right angles. The x-axis points north and the y-axis points west. Note that stations normally have non-zero altitude with respect to the spheroid. Loosely speaking, a topocentric frame enables computations involving the local directions "north", "west," and "up" at a surface point on an extended body. For example, the "elevation" of an object relative to the center of a topocentric frame is the object's colatitude in that frame. The corresponding azimuth is the angle from the topocentric frame's x-axis to the projection of the center-to-object vector onto the topocentric frame's x-y plane, measured in the clockwise direction. The orientation of a topocentric frame relative to the base frame can be described by an Euler angle sequence. Let M be the rotation matrix that maps vectors from the base frame to a specified topocentric frame. Then M = [ Pi ] [ Pi/2 - LAT ] [ LON ] 3 2 3 where LON, LAT are the associated station's geodetic latitude and longitude. Note that the frame definitions below actually provide Euler angles for the inverse of M and use units of degrees, so the angle sequences are -1 o o M = [ -LON ] [ LAT - 90 ] [ 180 ] 3 2 3 See the Rotation Required Reading for details concerning Euler angles. Using this kernel ===================================================================== Revision description -------------------- This kernel supersedes earth_topo_040916.tf This revision defines an additional topocentric reference frame centered at the new position of the relocated DSS-65 antenna; the antenna has been moved by about 61m. Some users of station location data are adopting the name DSS-64 to represent the new location; others are continuing to use the old name DSS-65 This kernel enables SPICE users to refer to a topocentric frame centered at the new location by either of the names DSS-65_TOPO DSS-64_TOPO This kernel does not define a topocentric frame centered at the old location of DSS-65: the previous version of this kernel may be used to provide that definition. Planned updates --------------- NAIF plans to replace this kernel with one containing additional data for tracking stations at Noto and New Norcia. Data for the sites covered by this file will be unchanged in that update. Kernel loading -------------- In order for a SPICE-based program to make use of this kernel, the kernel must be loaded via the SPICE routine FURNSH. If you are running application software created by a third party, see the documentation for that software for instructions on kernel management. See also "Associated SPK files" and "Associated PCK files" below. Base frame alias ---------------- This kernel uses the frame alias 'EARTH_FIXED' to designate the base frame. Below, this alias is mapped to the frame name 'ITRF93'. In some situations, for example when low accuracy, long term predictions are desired, it may be convenient to map EARTH_FIXED to 'IAU_EARTH'. See the Frames Required Reading for details. Associated PCK files -------------------- For high-accuracy work, this kernel should be used together with a high-precision, binary earth PCK file. NAIF produces these kernels on a regular basis; they can be obtained via anonymous ftp from the NAIF server naif.jpl.nasa.gov The PCK is located in the path pub/naif/generic_kernels/pck The file name is of the form earth_000101_yymmdd_yymmdd.bpc The first two dates are the file's start and stop times; the third is the epoch of the last datum in the EOP file: data from this epoch forward are predicted. The file's coverage starts at a fixed date (currently chosen to be 2000 Jan. 1) and extends to the end of the predict region, which has a duration of roughly 3 months. For less accurate work, a text PCK may suffice. To use this kernel with a text PCK, the base frame alias EARTH_FIXED must be mapped to 'IAU_EARTH'. Text PCKs may be appropriate for work involving long term predicts. Associated SPK files -------------------- This file is compatible with the SPK files earthstns_fx_050714.bsp [reference frame: EARTH_FIXED] earthstns_itrf93_050714.bsp [reference frame: ITRF93 ] both of which provide state vectors for each station covered by this file. Most applications will need to load one of the above SPK files in order to make use of this frame kernel. DSS-64 and DSS-65 ----------------- See "Revision description" above for a description of the data coverage provided by this file for DSS-64 and DSS-65. To enable use of the name DSS-64, user applications may load a text kernel containing the assignments NAIF_BODY_NAME += 'DSS-64' NAIF_BODY_CODE += 399064 This frame kernel includes the necessary definitions. See the NAIF_IDs Required Reading for details. PARKES ------ The station location data source produced by JPL's section 335 now refers to the Parkes station as "DSS-49." The SPICE Toolkit currently supports the NAIF ID code/name mappings 399005 <--> DSS-05 (secondary) <--> PARKES (primary) Identical ephemeris data are provided in this file for both ID codes 399005 and 399049. See the NAIF_IDs Required Reading for details. In this file, all of the frame names DSS-05_TOPO PARKES_TOPO DSS-49_TOPO are associated with the topocentric frame for Parkes, so any of these names will be recognized by the SPICE Toolkit when this kernel is loaded. All three names refer to mathematically equivalent frames. Data sources ===================================================================== The data described here are taken from the JPL web site at URL http://epic/nav/eop/stations.html The site is maintained by Tod Ratcliff, JPL section 335. Additional source: Location data for DSS-64 are from an e-mail communication from W. M. Folkner to N. J. Bachman, dated June 23, 2005. Reference Spheroid ------------------ The reference bi-axial spheroid is defined by an equatorial and a polar radius. Calling these Re and Rp respectively, the flattening factor f is defined as f = ( Re - Rp ) / Re For the reference spheroid used by this file, the equatorial radius Re and inverse flattening factor 1/f are Re = 6378136.3 m 1/f = 298.257 Position data ------------- The Cartesian station locations from which the topocentric frames defined here were derived are shown below. Station locations in the ITRF93 frame are: Antenna Diameter x (m) y (m) z (m) DSS 12 34m -2350444.0057 -4651980.7620 3665630.9322 DSS 13 34m -2351112.6586 -4655530.6359 3660912.7276 DSS 14 70m -2353621.4197 -4641341.4717 3677052.3178 DSS 15 34m -2353538.9575 -4641649.4287 3676669.9837 DSS 16 26m -2354763.3257 -4646787.3837 3669387.0099 DSS 17 9m -2354730.5247 -4646751.6975 3669440.5998 DSS 23 11m -2354757.7341 -4646934.5965 3669207.7651 DSS 24 34m -2354906.7087 -4646840.0834 3669242.3207 DSS 25 34m -2355022.0140 -4646953.2040 3669040.5666 DSS 26 34m -2354890.7996 -4647166.3182 3668871.7546 DSS 27 34m -2349915.4275 -4656756.4059 3660096.4693 DSS 28 34m -2350102.0169 -4656673.3686 3660103.5180 DSS 33 11m -4461083.8425 2682281.6961 -3674569.9725 DSS 34 34m -4461147.0925 2682439.2385 -3674393.1332 DSS 42 34m -4460981.3463 2682413.4680 -3674581.6534 DSS 43 70m -4460894.9170 2682361.5070 -3674748.1517 DSS 45 34m -4460935.5783 2682765.6611 -3674380.9824 DSS 46 26m -4460828.9473 2682129.5071 -3674975.0884 DSS 49 64m -4554232.1933 2816758.9161 -3454035.6434 DSS 53 11m 4849330.0161 -360337.8678 4114758.9123 DSS 54 34m 4849434.4877 -360723.8999 4114618.8354 DSS 55 34m 4849525.2561 -360606.0932 4114495.0843 DSS 61 34m 4849245.0787 -360277.9478 4114884.5772 DSS 63 70m 4849092.5175 -360180.3480 4115109.2506 DSS 64 34m 4849339.6448 -360427.6560 4114750.7428 DSS 65 34m Prior to July 3, 2005: 4849336.6176 -360488.6349 4114748.9218 After July 3, 2005: 4849339.6448 -360427.6560 4114750.7428 (Same as DSS 64) DSS 66 26m 4849148.4311 -360474.6175 4114995.1679 Epoch ----- The epoch associated with these data is given by the source as "2003.0." The time variation of the data is slow enough so that specification of the time system is unimportant. However, in the creation of this file, the epoch is assumed to be 2003 Jan 1 00:00:00 TDB The movement of the stations due to tectonic plate motion is taken into account in creation of the frame definitions used in this file: the center locations and orientations of the reference frames are associated with station locations extrapolated to the date 2005 July 15 00:00:00 TDB This extrapolation results in a small rotation of the frames relative to their orientations as given by the previous version of this kernel. The rotations are typically on the order of 20 nanoradians. Accuracy -------- The Euler angles specified in this kernel have much lower accuracy than suggested by their presentation as double-precision numbers. The presentation was selected to avoid loss of precision. The frame definitions given here correspond to station locations at a fixed epoch. Because station locations are time-varying, this kernel will gradually become inconsistent with the corresponding station location data. The following discussion concerning station location accuracy is from the referenced web site. The citations in the text refer to the documents listed below. The uncertainty in the station locations is described by a covariance matrix [2]. The coordinate uncertainties, given by the square-root of the diagonal elements of the covariance matrix, are about 4 cm for DSN stations which have participated in regular VLBI experiments, and about 10 cm for other stations. These coordinate uncertaintes [sic] do not account for uncertainties in Earth orientation calibrations. Uncertainties in Earth orientation as applied to spacecraft navigation are discussed in [5]. References ---------- The site lists the following references: 1. C. Boucher, Z. Altamimi, L. Duhem, "Results and analysis of the ITRF93", IERS Technical Note 18, Observatoire de Paris, 1994. 2. W. M. Folkner, DSN station locations and uncertainties, JPL TDA Progress Report, 42-128,pp. 1-34,1996. 3. T. Moyer, "Mathematical formulation of the double-precision Orbit Determination Program", JPL Technical Report 32-1527, 1971 4. C. S. Jacobs and A. Rius, Internal consistency of VLBI surveying between DSS 63 and DSS 65", JPL IOM 335.3-90-034, 11 May 1992. 5. J. A. Estefan and W. M. Folkner, Sensitivity of planetary cruise navigation to Earth orientation calibration errors, JPL TDA Progress Report 42-123, pp. 1-29, 1995. 6. T. D. Moyer, "Frame tie rotations and nutation corrections for the ODP", JPL EM 314-558, 26 February 1993. 7. E. M. Standish, X X Newhall, J. G. Williams, W. M. Folkner, "JPL planetary and lunar ephemerides DE403/LE403", JPL IOM 314.10-127, 22 May 1995. Reference frame definitions ===================================================================== EARTH_FIXED alias mapping ------------------------- Constant-offset frame definition for the frame alias EARTH_FIXED: EARTH_FIXED is mapped to ITRF93. \begindata TKFRAME_EARTH_FIXED_RELATIVE = 'ITRF93' TKFRAME_EARTH_FIXED_SPEC = 'MATRIX' TKFRAME_EARTH_FIXED_MATRIX = ( 1 0 0 0 1 0 0 0 1 ) \begintext Name-ID code associations -------------------------------- PARKES is called "DSS-49" in the data source. The older names DSS-05 and PARKES are associated with the ID code 399005 for backward compatibility. The ID code 399064 is not yet a SPICE built-in code, so it is associated here with the name DSS-64. \begindata NAIF_BODY_NAME += 'DSS-64' NAIF_BODY_CODE += 399064 \begintext DSN frame definitions follow. \begindata FRAME_PARKES_TOPO = 1399005 FRAME_1399005_NAME = 'PARKES_TOPO' FRAME_1399005_CLASS = 4 FRAME_1399005_CLASS_ID = 1399005 FRAME_1399005_CENTER = 399005 OBJECT_399005_FRAME = 'PARKES_TOPO' TKFRAME_PARKES_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_PARKES_TOPO_SPEC = 'ANGLES' TKFRAME_PARKES_TOPO_UNITS = 'DEGREES' TKFRAME_PARKES_TOPO_AXES = ( 3, 2, 3) TKFRAME_PARKES_TOPO_ANGLES = ( -148.2635161528947, -122.9983980423326, 180.0000000000000 ) FRAME_DSS-12_TOPO = 1399012 FRAME_1399012_NAME = 'DSS-12_TOPO' FRAME_1399012_CLASS = 4 FRAME_1399012_CLASS_ID = 1399012 FRAME_1399012_CENTER = 399012 OBJECT_399012_FRAME = 'DSS-12_TOPO' TKFRAME_DSS-12_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-12_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-12_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-12_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-12_TOPO_ANGLES = ( -243.1945102442646, -54.7000629043147, 180.0000000000000 ) FRAME_DSS-13_TOPO = 1399013 FRAME_1399013_NAME = 'DSS-13_TOPO' FRAME_1399013_CLASS = 4 FRAME_1399013_CLASS_ID = 1399013 FRAME_1399013_CENTER = 399013 OBJECT_399013_FRAME = 'DSS-13_TOPO' TKFRAME_DSS-13_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-13_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-13_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-13_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-13_TOPO_ANGLES = ( -243.2055404763616, -54.7528357325366, 180.0000000000000 ) FRAME_DSS-14_TOPO = 1399014 FRAME_1399014_NAME = 'DSS-14_TOPO' FRAME_1399014_CLASS = 4 FRAME_1399014_CLASS_ID = 1399014 FRAME_1399014_CENTER = 399014 OBJECT_399014_FRAME = 'DSS-14_TOPO' TKFRAME_DSS-14_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-14_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-14_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-14_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-14_TOPO_ANGLES = ( -243.1104612607222, -54.5740991182250, 180.0000000000000 ) FRAME_DSS-15_TOPO = 1399015 FRAME_1399015_NAME = 'DSS-15_TOPO' FRAME_1399015_CLASS = 4 FRAME_1399015_CLASS_ID = 1399015 FRAME_1399015_CENTER = 399015 OBJECT_399015_FRAME = 'DSS-15_TOPO' TKFRAME_DSS-15_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-15_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-15_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-15_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-15_TOPO_ANGLES = ( -243.1128043663782, -54.5781467088189, 180.0000000000000 ) FRAME_DSS-16_TOPO = 1399016 FRAME_1399016_NAME = 'DSS-16_TOPO' FRAME_1399016_CLASS = 4 FRAME_1399016_CLASS_ID = 1399016 FRAME_1399016_CENTER = 399016 OBJECT_399016_FRAME = 'DSS-16_TOPO' TKFRAME_DSS-16_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-16_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-16_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-16_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-16_TOPO_ANGLES = ( -243.1263497222477, -54.6584605941241, 180.0000000000000 ) FRAME_DSS-17_TOPO = 1399017 FRAME_1399017_NAME = 'DSS-17_TOPO' FRAME_1399017_CLASS = 4 FRAME_1399017_CLASS_ID = 1399017 FRAME_1399017_CENTER = 399017 OBJECT_399017_FRAME = 'DSS-17_TOPO' TKFRAME_DSS-17_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-17_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-17_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-17_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-17_TOPO_ANGLES = ( -243.1264941091303, -54.6578234080814, 180.0000000000000 ) FRAME_DSS-23_TOPO = 1399023 FRAME_1399023_NAME = 'DSS-23_TOPO' FRAME_1399023_CLASS = 4 FRAME_1399023_CLASS_ID = 1399023 FRAME_1399023_CENTER = 399023 OBJECT_399023_FRAME = 'DSS-23_TOPO' TKFRAME_DSS-23_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-23_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-23_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-23_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-23_TOPO_ANGLES = ( -243.1271364494682, -54.6604496329255, 180.0000000000000 ) FRAME_DSS-24_TOPO = 1399024 FRAME_1399024_NAME = 'DSS-24_TOPO' FRAME_1399024_CLASS = 4 FRAME_1399024_CLASS_ID = 1399024 FRAME_1399024_CENTER = 399024 OBJECT_399024_FRAME = 'DSS-24_TOPO' TKFRAME_DSS-24_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-24_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-24_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-24_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-24_TOPO_ANGLES = ( -243.1252050470835, -54.6601071639813, 180.0000000000000 ) FRAME_DSS-25_TOPO = 1399025 FRAME_1399025_NAME = 'DSS-25_TOPO' FRAME_1399025_CLASS = 4 FRAME_1399025_CLASS_ID = 1399025 FRAME_1399025_CENTER = 399025 OBJECT_399025_FRAME = 'DSS-25_TOPO' TKFRAME_DSS-25_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-25_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-25_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-25_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-25_TOPO_ANGLES = ( -243.1246362656502, -54.6623880235187, 180.0000000000000 ) FRAME_DSS-26_TOPO = 1399026 FRAME_1399026_NAME = 'DSS-26_TOPO' FRAME_1399026_CLASS = 4 FRAME_1399026_CLASS_ID = 1399026 FRAME_1399026_CENTER = 399026 OBJECT_399026_FRAME = 'DSS-26_TOPO' TKFRAME_DSS-26_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-26_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-26_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-26_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-26_TOPO_ANGLES = ( -243.1269829764524, -54.6643107688601, 180.0000000000000 ) FRAME_DSS-27_TOPO = 1399027 FRAME_1399027_NAME = 'DSS-27_TOPO' FRAME_1399027_CLASS = 4 FRAME_1399027_CLASS_ID = 1399027 FRAME_1399027_CENTER = 399027 OBJECT_399027_FRAME = 'DSS-27_TOPO' TKFRAME_DSS-27_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-27_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-27_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-27_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-27_TOPO_ANGLES = ( -243.2233490223594, -54.7617282056820, 180.0000000000000 ) FRAME_DSS-28_TOPO = 1399028 FRAME_1399028_NAME = 'DSS-28_TOPO' FRAME_1399028_CLASS = 4 FRAME_1399028_CLASS_ID = 1399028 FRAME_1399028_CENTER = 399028 OBJECT_399028_FRAME = 'DSS-28_TOPO' TKFRAME_DSS-28_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-28_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-28_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-28_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-28_TOPO_ANGLES = ( -243.2211082995305, -54.7617279659690, 180.0000000000000 ) FRAME_DSS-33_TOPO = 1399033 FRAME_1399033_NAME = 'DSS-33_TOPO' FRAME_1399033_CLASS = 4 FRAME_1399033_CLASS_ID = 1399033 FRAME_1399033_CENTER = 399033 OBJECT_399033_FRAME = 'DSS-33_TOPO' TKFRAME_DSS-33_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-33_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-33_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-33_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-33_TOPO_ANGLES = ( -148.9830923595113, -125.4004837705609, 180.0000000000000 ) FRAME_DSS-34_TOPO = 1399034 FRAME_1399034_NAME = 'DSS-34_TOPO' FRAME_1399034_CLASS = 4 FRAME_1399034_CLASS_ID = 1399034 FRAME_1399034_CENTER = 399034 OBJECT_399034_FRAME = 'DSS-34_TOPO' TKFRAME_DSS-34_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-34_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-34_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-34_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-34_TOPO_ANGLES = ( -148.9819650021110, -125.3984778756552, 180.0000000000000 ) FRAME_DSS-42_TOPO = 1399042 FRAME_1399042_NAME = 'DSS-42_TOPO' FRAME_1399042_CLASS = 4 FRAME_1399042_CLASS_ID = 1399042 FRAME_1399042_CENTER = 399042 OBJECT_399042_FRAME = 'DSS-42_TOPO' TKFRAME_DSS-42_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-42_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-42_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-42_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-42_TOPO_ANGLES = ( -148.9812679796550, -125.4006736665826, 180.0000000000000 ) FRAME_DSS-43_TOPO = 1399043 FRAME_1399043_NAME = 'DSS-43_TOPO' FRAME_1399043_CLASS = 4 FRAME_1399043_CLASS_ID = 1399043 FRAME_1399043_CENTER = 399043 OBJECT_399043_FRAME = 'DSS-43_TOPO' TKFRAME_DSS-43_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-43_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-43_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-43_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-43_TOPO_ANGLES = ( -148.9812678907116, -125.4024232666378, 180.0000000000000 ) FRAME_DSS-45_TOPO = 1399045 FRAME_1399045_NAME = 'DSS-45_TOPO' FRAME_1399045_CLASS = 4 FRAME_1399045_CLASS_ID = 1399045 FRAME_1399045_CENTER = 399045 OBJECT_399045_FRAME = 'DSS-45_TOPO' TKFRAME_DSS-45_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-45_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-45_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-45_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-45_TOPO_ANGLES = ( -148.9776862148021, -125.3984567187688, 180.0000000000000 ) FRAME_DSS-46_TOPO = 1399046 FRAME_1399046_NAME = 'DSS-46_TOPO' FRAME_1399046_CLASS = 4 FRAME_1399046_CLASS_ID = 1399046 FRAME_1399046_CENTER = 399046 OBJECT_399046_FRAME = 'DSS-46_TOPO' TKFRAME_DSS-46_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-46_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-46_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-46_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-46_TOPO_ANGLES = ( -148.9830822665351, -125.4050096708302, 180.0000000000000 ) FRAME_DSS-49_TOPO = 1399049 FRAME_1399049_NAME = 'DSS-49_TOPO' FRAME_1399049_CLASS = 4 FRAME_1399049_CLASS_ID = 1399049 FRAME_1399049_CENTER = 399049 OBJECT_399049_FRAME = 'DSS-49_TOPO' TKFRAME_DSS-49_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-49_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-49_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-49_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-49_TOPO_ANGLES = ( -148.2635161528947, -122.9983980423326, 180.0000000000000 ) FRAME_DSS-53_TOPO = 1399053 FRAME_1399053_NAME = 'DSS-53_TOPO' FRAME_1399053_CLASS = 4 FRAME_1399053_CLASS_ID = 1399053 FRAME_1399053_CENTER = 399053 OBJECT_399053_FRAME = 'DSS-53_TOPO' TKFRAME_DSS-53_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-53_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-53_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-53_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-53_TOPO_ANGLES = ( -355.7503485315841, -49.5726421412624, 180.0000000000000 ) FRAME_DSS-54_TOPO = 1399054 FRAME_1399054_NAME = 'DSS-54_TOPO' FRAME_1399054_CLASS = 4 FRAME_1399054_CLASS_ID = 1399054 FRAME_1399054_CENTER = 399054 OBJECT_399054_FRAME = 'DSS-54_TOPO' TKFRAME_DSS-54_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-54_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-54_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-54_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-54_TOPO_ANGLES = ( -355.7459038709393, -49.5743777507050, 180.0000000000000 ) FRAME_DSS-55_TOPO = 1399055 FRAME_1399055_NAME = 'DSS-55_TOPO' FRAME_1399055_CLASS = 4 FRAME_1399055_CLASS_ID = 1399055 FRAME_1399055_CENTER = 399055 OBJECT_399055_FRAME = 'DSS-55_TOPO' TKFRAME_DSS-55_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-55_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-55_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-55_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-55_TOPO_ANGLES = ( -355.7473673994048, -49.5757035288805, 180.0000000000000 ) FRAME_DSS-61_TOPO = 1399061 FRAME_1399061_NAME = 'DSS-61_TOPO' FRAME_1399061_CLASS = 4 FRAME_1399061_CLASS_ID = 1399061 FRAME_1399061_CENTER = 399061 OBJECT_399061_FRAME = 'DSS-61_TOPO' TKFRAME_DSS-61_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-61_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-61_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-61_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-61_TOPO_ANGLES = ( -355.7509784608760, -49.5712602628462, 180.0000000000000 ) FRAME_DSS-63_TOPO = 1399063 FRAME_1399063_NAME = 'DSS-63_TOPO' FRAME_1399063_CLASS = 4 FRAME_1399063_CLASS_ID = 1399063 FRAME_1399063_CENTER = 399063 OBJECT_399063_FRAME = 'DSS-63_TOPO' TKFRAME_DSS-63_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-63_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-63_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-63_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-63_TOPO_ANGLES = ( -355.7519921564240, -49.5687896830942, 180.0000000000000 ) FRAME_DSS-64_TOPO = 1399064 FRAME_1399064_NAME = 'DSS-64_TOPO' FRAME_1399064_CLASS = 4 FRAME_1399064_CLASS_ID = 1399064 FRAME_1399064_CENTER = 399064 OBJECT_399064_FRAME = 'DSS-64_TOPO' TKFRAME_DSS-64_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-64_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-64_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-64_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-64_TOPO_ANGLES = ( -355.7493019024685, -49.5727930629388, 180.0000000000000 ) FRAME_DSS-65_TOPO = 1399065 FRAME_1399065_NAME = 'DSS-65_TOPO' FRAME_1399065_CLASS = 4 FRAME_1399065_CLASS_ID = 1399065 FRAME_1399065_CENTER = 399065 OBJECT_399065_FRAME = 'DSS-65_TOPO' TKFRAME_DSS-65_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-65_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-65_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-65_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-65_TOPO_ANGLES = ( -355.7493019024685, -49.5727930629388, 180.0000000000000 ) FRAME_DSS-66_TOPO = 1399066 FRAME_1399066_NAME = 'DSS-66_TOPO' FRAME_1399066_CLASS = 4 FRAME_1399066_CLASS_ID = 1399066 FRAME_1399066_CENTER = 399066 OBJECT_399066_FRAME = 'DSS-66_TOPO' TKFRAME_DSS-66_TOPO_RELATIVE = 'EARTH_FIXED' TKFRAME_DSS-66_TOPO_SPEC = 'ANGLES' TKFRAME_DSS-66_TOPO_UNITS = 'DEGREES' TKFRAME_DSS-66_TOPO_AXES = ( 3, 2, 3) TKFRAME_DSS-66_TOPO_ANGLES = ( -355.7485830705283, -49.5700245583355, 180.0000000000000 ) \begintext