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