void gftfov_c ( ConstSpiceChar * inst,
ConstSpiceChar * target,
ConstSpiceChar * tshape,
ConstSpiceChar * tframe,
ConstSpiceChar * abcorr,
ConstSpiceChar * obsrvr,
SpiceDouble step,
SpiceCell * cnfine,
SpiceCell * result )
Determine time intervals when a specified ephemeris object
intersects the space bounded by the field-of-view (FOV) of a
specified instrument.
CK
FRAMES
GF
KERNEL
NAIF_IDS
PCK
SPK
TIME
WINDOWS
EVENT
FOV
GEOMETRY
INSTRUMENT
SEARCH
WINDOW
VARIABLE I/O DESCRIPTION
--------------- --- ------------------------------------------------
SPICE_GF_MARGIN P Minimum complement of FOV cone angle.
SPICE_GF_CNVTOL P Convergence tolerance.
SPICE_GF_MAXVRT P Maximum number of FOV boundary vertices.
inst I Name of the instrument.
target I Name of the target body.
tshape I Type of shape model used for target body.
tframe I Body-fixed, body-centered frame for target body.
abcorr I Aberration correction flag.
obsrvr I Name of the observing body.
step I Step size in seconds for finding FOV events.
cnfine I-O SPICE window to which the search is restricted.
result O SPICE window containing results.
inst indicates the name of an instrument, such as a
spacecraft-mounted framing camera, the field of view
(FOV) of which is to be used for a target intersection
search: times when the specified target intersects the
region of space corresponding to the FOV are sought.
The position of the instrument designated by `inst' is
considered to coincide with that of the ephemeris
object designated by the input argument `obsrvr' (see
description below).
`inst' must have a corresponding NAIF ID and a frame
defined, as is normally done in a frame kernel. It
must also have an associated reference frame and a FOV
shape, boresight and boundary vertices (or reference
vector and reference angles) defined, as is usually
done in an instrument kernel.
See the header of the CSPICE routine getfov_c for a
description of the required parameters associated with
an instrument.
target is the name of the target body, the appearances of
which in the specified instrument's field of view are
sought. The body must be an ephemeris object.
Optionally, you may supply the integer NAIF ID code
for the body as a string. For example both "MOON" and
"301" are legitimate strings that designate the Moon.
Case and leading or trailing blanks are not
significant in the string `target'.
tshape is a string indicating the geometric model used to
represent the shape of the target body. The supported
options are:
"ELLIPSOID" Use a triaxial ellipsoid model,
with radius values provided via the
kernel pool. A kernel variable
having a name of the form
"BODYnnn_RADII"
where nnn represents the NAIF
integer code associated with the
body, must be present in the kernel
pool. This variable must be
associated with three numeric
values giving the lengths of the
ellipsoid's X, Y, and Z semi-axes.
"POINT" Treat the body as a single point.
Case and leading or trailing blanks are not
significant in the string `tshape'.
tframe is the name of the body-fixed, body-centered reference
frame associated with the target body. Examples of
such names are "IAU_SATURN" (for Saturn) and "ITRF93"
(for the Earth).
If the target body is modeled as a point, `tframe'
is ignored and should be left blank.
Case and leading or trailing blanks bracketing a
non-blank frame name are not significant in the string
`tframe'.
abcorr indicates the aberration corrections to be applied
when computing the target's position and orientation.
For remote sensing applications, where the apparent
position and orientation of the target seen by the
observer are desired, normally either of the
corrections
"LT+S"
"CN+S"
should be used. These and the other supported options
are described below.
Supported aberration correction options for
observation (the case where radiation is received by
observer at ET) are:
"NONE" No correction.
"LT" Light time only
"LT+S" Light time and stellar aberration.
"CN" Converged Newtonian (CN) light time.
"CN+S" CN light time and stellar aberration.
Supported aberration correction options for
transmission (the case where radiation is emitted from
observer at ET) are:
"XLT" Light time only.
"XLT+S" Light time and stellar aberration.
"XCN" Converged Newtonian (CN) light time.
"XCN+S" CN light time and stellar aberration.
For detailed information, see the GF Required Reading,
gf.req.
Case, leading and trailing blanks are not significant
in the string `abcorr'.
obsrvr is the name of the body from which the target is
observed. The instrument designated by `inst' is treated
as if it were co-located with the observer.
Optionally, you may supply the integer NAIF ID code
for the body as a string.
Case and leading or trailing blanks are not
significant in the string `obsrvr'.
step is the step size to be used in the search. `step' must
be shorter than any interval, within the confinement
window, over which the specified condition is met. In
other words, `step' must be shorter than the shortest
visibility event that the user wishes to detect. `step'
also must be shorter than the minimum duration
separating any two visibility events. However, `step'
must not be *too* short, or the search will take an
unreasonable amount of time.
The choice of `step' affects the completeness but not
the precision of solutions found by this routine; the
precision is controlled by the convergence tolerance.
See the discussion of the parameter SPICE_GF_CNVTOL for
details.
`step' has units of seconds.
cnfine is a SPICE window that confines the time period over
which the specified search is conducted. `cnfine' may
consist of a single interval or a collection of
intervals.
The endpoints of the time intervals comprising `cnfine'
are interpreted as seconds past J2000 TDB.
See the Examples section below for a code example
that shows how to create a confinement window.
cnfine is the input confinement window, updated if necessary
so the control area of its data array indicates the
window's size and cardinality. The window data are
unchanged.
result is a SPICE window representing the set of time
intervals, within the confinement period, when the
target body is visible; that is, when the target body
intersects the space bounded by the specified
instrument's field of view.
The endpoints of the time intervals comprising `result'
are interpreted as seconds past J2000 TDB.
If `result' is non-empty on input, its contents
will be discarded before gftfov_c conducts its
search.
All parameters described here are declared in the header file
SpiceGF.h. See that file for parameter values.
SPICE_GF_CNVTOL
is the convergence tolerance used for finding endpoints of
the intervals comprising the result window.
SPICE_GF_CNVTOL is used to determine when binary searches
for roots should terminate: when a root is bracketed
within an interval of length SPICE_GF_CNVTOL, the root is
considered to have been found.
The accuracy, as opposed to precision, of roots found
by this routine depends on the accuracy of the input
data. In most cases, the accuracy of solutions will be
inferior to their precision.
SPICE_GF_MAXVRT
is the maximum number of vertices that may be used
to define the boundary of the specified instrument's
field of view.
SPICE_GF_MARGIN
is a small positive number used to constrain the
orientation of the boundary vectors of polygonal
FOVs. Such FOVs must satisfy the following constraints:
1) The boundary vectors must be contained within
a right circular cone of angular radius less
than than (pi/2) - SPICE_GF_MARGIN radians; in other
words, there must be a vector A such that all
boundary vectors have angular separation from
A of less than (pi/2)-SPICE_GF_MARGIN radians.
2) There must be a pair of boundary vectors U, V
such that all other boundary vectors lie in the
same half space bounded by the plane containing U
and V. Furthermore, all other boundary vectors
must have orthogonal projections onto a specific
plane normal to this plane (the normal plane
contains the angle bisector defined by U and V)
such that the projections have angular separation
of at least 2*SPICE_GF_MARGIN radians from the
plane spanned by U and V.
1) In order for this routine to produce correct results,
the step size must be appropriate for the problem at hand.
Step sizes that are too large may cause this routine to miss
roots; step sizes that are too small may cause this routine
to run unacceptably slowly and in some cases, find spurious
roots.
This routine does not diagnose invalid step sizes, except
that if the step size is non-positive, the error
SPICE(INVALIDSTEPSIZE) will be signaled.
2) Due to numerical errors, in particular,
- Truncation error in time values
- Finite tolerance value
- Errors in computed geometric quantities
it is *normal* for the condition of interest to not always be
satisfied near the endpoints of the intervals comprising the
result window.
The result window may need to be contracted slightly by the
caller to achieve desired results. The SPICE window routine
WNCOND can be used to contract the result window.
3) If the name of either the target or observer cannot be
translated to a NAIF ID code, the error will be diagnosed by
a routine in the call tree of this routine.
4) If the specified aberration correction is an unrecognized
value, the error will be diagnosed and signaled by a routine
in the call tree of this routine.
5) If the radii of a target body modeled as an ellipsoid cannot
be determined by searching the kernel pool for a kernel
variable having a name of the form
"BODYnnn_RADII"
where nnn represents the NAIF integer code associated with
the body, the error will be diagnosed by a routine in the
call tree of this routine.
6) If the target body coincides with the observer body `obsrvr',
the error will be diagnosed by a routine in the call tree of
this routine.
7) If the body model specifier `tshape' is invalid, the error will
be diagnosed either here or by a routine in the call tree of
this routine.
8) If a target body-fixed reference frame associated with a
non-point target is not recognized, the error will be
diagnosed by a routine in the call tree of this routine.
9) If a target body-fixed reference frame is not centered at
the corresponding target body, the error will be
diagnosed by a routine in the call tree of this routine.
10) If the instrument name `inst' does not have corresponding NAIF
ID code, the error will be diagnosed by a routine in the call
tree of this routine.
11) If the FOV parameters of the instrument are not present in
the kernel pool, the error will be be diagnosed by routines
in the call tree of this routine.
12) If the FOV boundary has more than SPICE_GF_MAXVRT vertices, the
error will be be diagnosed by routines in the call tree of this
routine.
13) If the instrument FOV is polygonal, and this routine cannot
find a ray R emanating from the FOV vertex such that maximum
angular separation of R and any FOV boundary vector is within
the limit (pi/2)-SPICE_GF_MARGIN radians, the error will be diagnosed
by a routine in the call tree of this routine. If the FOV
is any other shape, the same error check will be applied with
the instrument boresight vector serving the role of R.
14) If the loaded kernels provide insufficient data to compute a
requested state vector, the error will be diagnosed by a
routine in the call tree of this routine.
15) If an error occurs while reading an SPK or other kernel file,
the error will be diagnosed by a routine in the call tree
of this routine.
16) If the output SPICE window `result' has insufficient capacity
to contain the number of intervals on which the specified
visibility condition is met, the error will be diagnosed
by a routine in the call tree of this routine. If the result
window has size less than 2, the error SPICE(WINDOWTOOSMALL)
will be signaled by this routine.
17) If any input string argument pointer is null, the error
SPICE(NULLPOINTER) will be signaled.
18) If any input string argument other than `tframe' is empty, the
error SPICE(EMPTYSTRING) will be signaled.
Appropriate SPICE kernels must be loaded by the calling program
before this routine is called.
The following data are required:
- SPK data: ephemeris data for target and observer that
describes the ephemeris of these objects for the period
defined by the confinement window CNFINE must be
loaded. If aberration corrections are used, the states of
target and observer relative to the solar system barycenter
must be calculable from the available ephemeris data.
Typically ephemeris data are made available by loading one
or more SPK files via furnsh_c.
- Frame data: if a frame definition is required to convert
the observer and target states to the body-fixed frame of
the target, that definition must be available in the kernel
pool. Typically the definitions of frames not already
built-in to SPICE are supplied by loading a frame kernel.
Data defining the reference frame associated with the
instrument designated by `inst' must be available in the
kernel pool. Additionally the name `inst' must be associated
with an ID code. Normally these data are made available by
loading a frame kernel via furnsh_c.
- IK data: the kernel pool must contain data such that
the CSPICE routine getfov_c may be called to obtain
parameters for `inst'. Normally such data are provided by
an IK via furnsh_c.
The following data may be required:
- PCK data: bodies modeled as triaxial ellipsoids must have
orientation data provided by variables in the kernel pool.
Typically these data are made available by loading a text
PCK file via furnsh_c.
Bodies modeled as triaxial ellipsoids must have semi-axis
lengths provided by variables in the kernel pool. Typically
these data are made available by loading a text PCK file via
furnsh_c.
- CK data: if the instrument frame is fixed to a spacecraft,
at least one CK file will be needed to permit transformation
of vectors between that frame and both J2000 and the target
body-fixed frame.
- SCLK data: if a CK file is needed, an associated SCLK
kernel is required to enable conversion between encoded SCLK
(used to time-tag CK data) and barycentric dynamical time
(TDB).
Kernel data are normally loaded once per program run, NOT every
time this routine is called.
This routine determines a set of one or more time intervals
within the confinement window when any portion of a specified
target body appears within the field of view of a specified
instrument. We'll use the term "visibility event" to designate
such an appearance. The set of time intervals resulting from the
search is returned as a SPICE window.
This routine provides a simpler, but less flexible, interface
than does the CSPICE routine gffove_c for conducting searches for
visibility events. Applications that require support for progress
reporting, interrupt handling, non-default step or refinement
functions, or non-default convergence tolerance should call
gffove_c rather than this routine.
To treat the target as a ray rather than as an ephemeris object,
use either the higher-level CSPICE routine gfrfov_c or gffove_c.
Those routines may be used to search for times when distant
target objects such as stars are visible in an instrument FOV, as
long the direction from the observer to the target can be modeled
as a ray.
Below we discuss in greater detail aspects of this routine's
solution process that are relevant to correct and efficient use
of this routine in user applications.
The Search Process
==================
The search for visibility events is treated as a search for state
transitions: times are sought when the state of the target body
changes from "not visible" to "visible" or vice versa.
Step Size
=========
Each interval of the confinement window is searched as follows:
first, the input step size is used to determine the time
separation at which the visibility state will be sampled.
Starting at the left endpoint of an interval, samples will be
taken at each step. If a state change is detected, a root has
been bracketed; at that point, the "root"--the time at which the
state change occurs---is found by a refinement process, for
example, via binary search.
Note that the optimal choice of step size depends on the lengths
of the intervals over which the visibility state is constant:
the step size should be shorter than the shortest visibility event
duration and the shortest period between visibility events, within
the confinement window.
Having some knowledge of the relative geometry of the target and
observer can be a valuable aid in picking a reasonable step size.
In general, the user can compensate for lack of such knowledge by
picking a very short step size; the cost is increased computation
time.
Note that the step size is not related to the precision with which
the endpoints of the intervals of the result window are computed.
That precision level is controlled by the convergence tolerance.
Convergence Tolerance
=====================
Once a root has been bracketed, a refinement process is used to
narrow down the time interval within which the root must lie. This
refinement process terminates when the location of the root has been
determined to within an error margin called the "convergence
tolerance." The convergence tolerance used by this routine is set
via the parameter SPICE_GF_CNVTOL.
The value of SPICE_GF_CNVTOL is set to a "tight" value so that the
tolerance doesn't become the limiting factor in the accuracy of
solutions found by this routine. In general the accuracy of input
data will be the limiting factor.
To use a different tolerance value, a lower-level GF routine such as
gffove_c must be called. Making the tolerance tighter than
SPICE_GF_CNVTOL is unlikely to be useful, since the results are
unlikely to be more accurate. Making the tolerance looser will speed
up searches somewhat, since a few convergence steps will be omitted.
However, in most cases, the step size is likely to have a much
greater effect on processing time than would the convergence
tolerance.
The Confinement Window
======================
The simplest use of the confinement window is to specify a time
interval within which a solution is sought. However, the confinement
window can, in some cases, be used to make searches more efficient.
Sometimes it's possible to do an efficient search to reduce the size
of the time period over which a relatively slow search of interest
must be performed. For an example, see the program CASCADE in the GF
Example Programs chapter of the GF Required Reading, gf.req.
The numerical results shown for these examples may differ across
platforms. The results depend on the SPICE kernels used as
input, the compiler and supporting libraries, and the machine
specific arithmetic implementation.
1) Search for times when Saturn's satellite Phoebe is within
the FOV of the Cassini narrow angle camera (CASSINI_ISS_NAC).
To simplify the problem, restrict the search to a short time
period where continuous Cassini bus attitude data are
available.
Use a step size of 10 seconds to reduce chances of missing
short visibility events.
Use the meta-kernel shown below to load the required SPICE
kernels.
KPL/MK
File name: gftfov_ex1.tm
This meta-kernel is intended to support operation of SPICE
example programs. The kernels shown here should not be
assumed to contain adequate or correct versions of data
required by SPICE-based user applications.
In order for an application to use this meta-kernel, the
kernels referenced here must be present in the user's
current working directory.
The names and contents of the kernels referenced
by this meta-kernel are as follows:
File name Contents
--------- --------
naif0009.tls Leapseconds
cpck05Mar2004.tpc Satellite orientation and
radii
981005_PLTEPH-DE405S.bsp Planetary ephemeris
020514_SE_SAT105.bsp Satellite ephemeris
030201AP_SK_SM546_T45.bsp Spacecraft ephemeris
cas_v37.tf Cassini FK
04135_04171pc_psiv2.bc Cassini bus CK
cas00084.tsc Cassini SCLK kernel
cas_iss_v09.ti Cassini IK
\begindata
KERNELS_TO_LOAD = ( 'naif0009.tls',
'cpck05Mar2004.tpc',
'981005_PLTEPH-DE405S.bsp',
'020514_SE_SAT105.bsp',
'030201AP_SK_SM546_T45.bsp',
'cas_v37.tf',
'04135_04171pc_psiv2.bc',
'cas00084.tsc',
'cas_iss_v09.ti' )
\begintext
Example code begins here.
#include <stdio.h>
#include "SpiceUsr.h"
#include "SpiceZmc.h"
int main()
{
/.
PROGRAM EX1
./
/.
Local constants
./
#define META "gftfov_ex1.tm"
#define TIMFMT "YYYY-MON-DD HR:MN:SC.######::TDB (TDB)"
#define TIMLEN 41
#define MAXWIN 10000
/.
Local variables
./
SPICEDOUBLE_CELL ( cnfine, MAXWIN );
SPICEDOUBLE_CELL ( result, MAXWIN );
SpiceChar * abcorr;
SpiceChar * inst;
SpiceChar * obsrvr;
SpiceChar * target;
SpiceChar * tframe;
SpiceChar timstr [2][ TIMLEN ];
SpiceChar * tshape;
SpiceDouble endpt [2];
SpiceDouble et0;
SpiceDouble et1;
SpiceDouble stepsz;
SpiceInt i;
SpiceInt j;
SpiceInt n;
/.
Load kernels.
./
furnsh_c ( META );
/.
Insert search time interval bounds into the
confinement window.
./
str2et_c ( "2004 JUN 11 06:30:00 TDB", &et0 );
str2et_c ( "2004 JUN 11 12:00:00 TDB", &et1 );
wninsd_c ( et0, et1, &cnfine );
/.
Initialize inputs for the search.
./
inst = "CASSINI_ISS_NAC";
target = "PHOEBE";
tshape = "ELLIPSOID";
tframe = "IAU_PHOEBE";
abcorr = "LT+S";
obsrvr = "CASSINI";
stepsz = 10.0;
printf ( "\n"
" Instrument: %s\n"
" Target: %s\n"
"\n",
inst,
target );
/.
Perform the search.
./
gftfov_c ( inst, target, tshape, tframe,
abcorr, obsrvr, stepsz, &cnfine, &result );
n = wncard_c ( &result );
if ( n == 0 )
{
printf ( "No FOV intersection found.\n" );
}
else
{
printf ( " Visibility start time Stop time\n" );
for ( i = 0; i < n; i++ )
{
wnfetd_c ( &result, i, endpt, endpt+1 );
for ( j = 0; j < 2; j++ )
{
timout_c ( endpt[j], TIMFMT, TIMLEN, timstr[j] );
}
printf ( " %s %s\n",
timstr[0],
timstr[1] );
}
}
printf ( "\n" );
return ( 0 );
}
When this program was executed on a PC/Linux/gcc platform, the
output was:
Instrument: CASSINI_ISS_NAC
Target: PHOEBE
Visibility start time Stop time
2004-JUN-11 07:35:49.958589 (TDB) 2004-JUN-11 08:48:27.485965 (TDB)
2004-JUN-11 09:03:19.767799 (TDB) 2004-JUN-11 09:35:27.634790 (TDB)
2004-JUN-11 09:50:19.585474 (TDB) 2004-JUN-11 10:22:27.854253 (TDB)
2004-JUN-11 10:37:19.332696 (TDB) 2004-JUN-11 11:09:28.116016 (TDB)
2004-JUN-11 11:24:19.049485 (TDB) 2004-JUN-11 11:56:28.380304 (TDB)
1) The reference frame associated with `inst' must be
centered at the observer or must be inertial. No check is done
to ensure this.
2) The kernel files to be used by gftfov_c must be loaded (normally
via the CSPICE routine furnsh_c) before gftfov_c is called.
None.
N.J. Bachman (JPL)
L.S. Elson (JPL)
E.D. Wright (JPL)
-CSPICE Version 1.0.0, 15-APR-2009 (NJB) (LSE) (EDW)
GF target in instrument FOV search
Link to routine gftfov_c source file gftfov_c.c
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