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cspice_gfsubc

Table of contents
Abstract
I/O
Parameters
Examples
Particulars
Exceptions
Files
Restrictions
Required_Reading
Literature_References
Author_and_Institution
Version
Index_Entries


Abstract


   CSPICE_GFSUBC determines the time intervals for which a coordinate
   of a subpoint position vector satisfies a numerical constraint.

I/O


   Given:

      target   the scalar string naming the target body.

               help, target
                  STRING = Scalar

               Optionally, you may supply the integer ID code for the object
               as an integer string. For example both 'MOON' and '301' are
               legitimate strings that indicate the moon is the target body.

               On calling cspice_gfsubc, the kernel pool must contain the
               radii data corresponding to `target'.

      fixref   the scalar string naming the body-fixed, body-centered reference
               frame associated with the target body `target'.

               help, fixref
                  STRING = Scalar

               The SPICE frame subsystem must recognize the `fixref' name.

      method   the scalar string naming the method to use for the subpoint
               calculation.

               help, method
                  STRING = Scalar

               The accepted values for method:

                 'Near point: ellipsoid'   The sub-observer point
                                           computation uses a
                                           triaxial ellipsoid to
                                           model the surface of the
                                           target body. The
                                           sub-observer point is
                                           defined as the nearest
                                           point on the target
                                           relative to the
                                           observer.

                 'Intercept: ellipsoid'    The sub-observer point
                                           computation uses a
                                           triaxial ellipsoid to
                                           model the surface of the
                                           target body. The
                                           sub-observer point is
                                           defined as the target
                                           surface intercept of the
                                           line containing the
                                           observer and the
                                           target's center.

               The `method' string lacks sensitivity to case, and to embedded,
               leading and trailing blanks.

      abcorr   the scalar string indicating the aberration corrections to apply
               to the state evaluations to account for one-way light time and
               stellar aberration.

               help, abcorr
                  STRING = Scalar

               This routine accepts the same aberration corrections as does
               the Icy routine cspice_spkezr. See the header of cspice_spkezr
               for a detailed description of the aberration correction
               options. For convenience, the options are listed below:

                  'NONE'     Apply no correction.

                  'LT'       "Reception" case: correct for
                             one-way light time using a Newtonian
                             formulation.

                  'LT+S'     "Reception" case: correct for
                             one-way light time and stellar
                             aberration using a Newtonian
                             formulation.

                  'CN'       "Reception" case: converged
                             Newtonian light time correction.

                  'CN+S'     "Reception" case: converged
                             Newtonian light time and stellar
                             aberration corrections.

                  'XLT'      "Transmission" case: correct for
                             one-way light time using a Newtonian
                             formulation.

                  'XLT+S'    "Transmission" case: correct for
                             one-way light time and stellar
                             aberration using a Newtonian
                             formulation.

                  'XCN'      "Transmission" case: converged
                             Newtonian light time correction.

                  'XCN+S'    "Transmission" case: converged
                             Newtonian light time and stellar
                             aberration corrections.

               The `abcorr' string lacks sensitivity to case, and to embedded,
               leading and trailing blanks.

      obsrvr   the scalar string naming the observing body.

               help, obsrvr
                  STRING = Scalar

               Optionally, you may supply the ID code of the object as an
               integer string. For example, both 'EARTH' and '399' are
               legitimate strings to supply to indicate the observer is Earth.

      crdsys   the scalar string naming the coordinate system for which the
               coordinate of interest is a member.

               help, crdsys
                  STRING = Scalar

      coord    the scalar string naming the coordinate of interest in `crdsys'.

               help, coord
                  STRING = Scalar

               The supported coordinate systems and coordinate names are:

                   crdsys             coord               Range
                  ----------------   -----------------   ------------
                   'RECTANGULAR'      'X'
                                      'Y'
                                      'Z'

                   'LATITUDINAL'      'RADIUS'
                                      'LONGITUDE'        (-Pi,Pi]
                                      'LATITUDE'         [-Pi/2,Pi/2]

                   'RA/DEC'           'RANGE'
                                      'RIGHT ASCENSION'  [0,2Pi)
                                      'DECLINATION'      [-Pi/2,Pi/2]

                   'SPHERICAL'        'RADIUS'
                                      'COLATITUDE'       [0,Pi]
                                      'LONGITUDE'        (-Pi,Pi]

                   'CYLINDRICAL'      'RADIUS'
                                      'LONGITUDE'        [0,2Pi)
                                      'Z'

                   'GEODETIC'         'LONGITUDE'        (-Pi,Pi]
                                      'LATITUDE'         [-Pi/2,Pi/2]
                                      'ALTITUDE'

                   'PLANETOGRAPHIC'   'LONGITUDE'        [0,2Pi)
                                      'LATITUDE'         [-Pi/2,Pi/2]
                                      'ALTITUDE'

               The ALTITUDE coordinates have a constant value
               of zero +/- roundoff for ellipsoid targets.

               Limit searches for coordinate events in the GEODETIC and
               PLANETOGRAPHIC coordinate systems to `target' bodies with
               axial symmetry in the equatorial plane, i.e. equality
               of the body X and Y radii (oblate or prolate spheroids).

      relate   the scalar string or character describing the relational
               operator used to define a constraint on the selected coordinate
               of the subpoint vector.

               help, relate
                  STRING = Scalar

               The result window found by this routine indicates the time
               intervals where the constraint is satisfied. Supported values of
               `relate' and corresponding meanings are shown below:

                  '>'       Separation is greater than the reference
                            value `refval'.

                  '='       Separation is equal to the reference
                            value `refval'.

                  '<'       Separation is less than the reference
                            value `refval'.

                  'ABSMAX'  Separation is at an absolute maximum.

                  'ABSMIN'  Separation is at an absolute  minimum.

                  'LOCMAX'  Separation is at a local maximum.

                  'LOCMIN'  Separation is at a local minimum.

               The caller may indicate that the region of interest
               is the set of time intervals where the quantity is
               within a specified measure of an absolute extremum.
               The argument `adjust' (described below) is used to
               specify this measure.

               Local extrema are considered to exist only in the
               interiors of the intervals comprising the confinement
               window:  a local extremum cannot exist at a boundary
               point of the confinement window.

               The `relate' string lacks sensitivity to case, and to leading
               and trailing blanks.

      refval   the scalar double precision reference value used together with
               relate argument to define an equality or inequality to satisfy
               by the selected coordinate of the subpoint vector.

               help, refval
                  DOUBLE = Scalar

               See the discussion of relate above for further information.

               The units of `refval' correspond to the type as defined
               by `coord', radians for angular measures, kilometers for
               distance measures.

      adjust   a scalar double precision value used to modify searches for
               absolute extrema: when `relate' is set to 'ABSMAX' or 'ABSMIN'
               and `adjust' is set to a positive value, cspice_gfsubc finds
               times when the subpoint vector coordinate is within `adjust'
               radians/kilometers of the specified extreme value.

               help, adjust
                  DOUBLE = Scalar

               For `relate' set to 'ABSMAX', the result window contains
               time intervals when the subpoint vector coordinate has
               values between ABSMAX - adjust and ABSMAX.

               For `relate' set to 'ABSMIN', the result window contains
               time intervals when the position vector coordinate has
               values between ABSMIN and ABSMIN + adjust.

               `adjust' is not used for searches for local extrema,
               equality or inequality conditions.

      step     the scalar double precision time step size to use in the search.

               help, step
                  DOUBLE = Scalar

               `step' must be short enough to for a search using this step
               size to locate the time intervals where coordinate
               function of the subpoint vector is monotone increasing or
               decreasing. However, `step must not be *too* short, or
               the search will take an unreasonable amount of time.

               For coordinates other than LONGITUDE and RIGHT ASCENSION,
               the step size must be shorter than the shortest interval,
               within the confinement window, over which the coordinate
               is monotone increasing or decreasing.

               For LONGITUDE and RIGHT ASCENSION, the step size must
               be shorter than the shortest interval, within the
               confinement window, over which either the sin or cos
               of the coordinate is monotone increasing or decreasing.

               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 TDB seconds.

      nintvls  a scalar integer value specifying the number of intervals in the
               the internal workspace array used by this routine.

               help, nintvls
                  LONG = Scalar

               `nintvls' should be at least as large as the number of
               intervals within the search region on which the specified
               observer-target vector coordinate function is monotone
               increasing or decreasing. It does no harm to pick a value of
               `nintvls' larger than the minimum required to execute the
               specified search, but if chosen too small, the search will fail.

      cnfine   a scalar double precision window that confines the time period
               over which the specified search is conducted.

               help, cnfine
                  STRUCT = cspice_celld(2*N)

               `cnfine' may consist of a single interval or a collection of
               intervals.

               In some cases the confinement window can be used to greatly
               reduce the time period that must be searched for the desired
               solution. See the -Particulars section below for further
               discussion.

               See the -Examples section below for a code example
               that shows how to create a confinement window.

               In some cases the observer's state may be computed at
               times outside of `cnfine' by as much as 2 seconds. See
               -Particulars for details.

   the call:

      cspice_gfsubc, target, fixref, method, abcorr, obsrvr,  crdsys, coord, $
                     relate, refval, adjust, step,   nintvls, cnfine, result

   returns:


      result   the scalar double precision window of intervals, contained
               within the confinement window `cnfine', on which the specified
               constraint is satisfied.

               help, result
                  STRUCT = cspice_celld(2*R)

               If `result' is non-empty on input, its contents
               will be discarded before cspice_gfsubc conducts its
               search.

               `result' must be declared and initialized with sufficient
               size to capture the full set of time intervals
               within the search region on which the specified constraint
               is satisfied.

               If the search is for local extrema, or for absolute
               extrema with `adjust' set to zero, then normally each
               interval of `result' will be a singleton: the left and
               right endpoints of each interval will be identical.

               If no times within the confinement window satisfy the
               constraint, `result' will be returned with a
               cardinality of zero.

Parameters


   SPICE_GF_CNVTOL

               is the convergence tolerance used for finding endpoints
               of the intervals comprising the result window.
               SPICE_GF_CNVTOL is also used for finding intermediate
               results; in particular, SPICE_GF_CNVTOL is used for
               finding the windows on which the specified coordinate
               is increasing or decreasing. 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.

   See Icy include file IcyGF.pro for declarations and descriptions of
   parameters used throughout the GF system.

Examples


   Any numerical results shown for this example may differ between
   platforms as the results depend on the SPICE kernels used as input
   and the machine specific arithmetic implementation.

   1) Find the time during 2007 for which the subpoint position vector
      of the sun on earth in the IAU_EARTH frame lies within a geodetic
      latitude-longitude "box" defined as

         16 degrees <= latitude  <= 17 degrees
         85 degrees <= longitude <= 86 degrees

      This problem requires four searches, each search on one of the
      box restrictions. The user needs also realize the temporal
      behavior of latitude greatly differs from that of the longitude. The
      sub-observer point latitude varies between approximately 23.44 degrees
      and -23.44 degrees during the year. The sub-observer point longitude
      varies between -180 degrees and 180 degrees in one day.

      Use the meta-kernel shown below to load the required SPICE
      kernels.


         KPL/MK

         File name: gfsubc_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
            ---------                     --------
            de414.bsp                     Planetary ephemeris
            pck00008.tpc                  Planet orientation and
                                          radii
            naif0008.tls                  Leapseconds


         \begindata

            KERNELS_TO_LOAD = ( 'de414.bsp',
                                'pck00008.tpc',
                                'naif0008.tls'  )

         \begintext

         End of meta-kernel


      Example code begins here.


      PRO gfsubc_ex1

         MAXWIN  =  1000
         TIMFMT  = 'YYYY-MON-DD HR:MN:SC.###### (TDB) ::TDB ::RND'
         TIMLEN  =  41

         ;;
         ;; Load kernels.
         ;;
         cspice_furnsh, 'gfsubc_ex1.tm'

         ;;
         ;; Store the time bounds of our search interval in
         ;; the cnfine confinement window.
         ;;
         cspice_str2et, [ '2007 JAN 01', '2008 JAN 01'], et

         cnfine = cspice_celld( 2 )
         cspice_wninsd, et[0], et[1], cnfine

         ;;
         ;; The latitude varies relatively slowly (46 degrees) during the
         ;; year. The extrema occur approximately every six months.
         ;; Search using a step size less than half that value (180 days).
         ;; For this example use ninety days (in units of seconds).
         ;;
         step   = cspice_spd()*90.D

         ;;
         ;; Perform four searches to determine the times when the
         ;; latitude-longitude box restriction conditions apply to the
         ;; subpoint vector.
         ;;
         ;; Use geodetic coordinates.
         ;;
         adjust = 0.D0
         target = 'EARTH'
         obsrvr = 'SUN'
         method = 'Near point: ellipsoid'
         fixref = 'IAU_EARTH'
         crdsys = 'GEODETIC'
         abcorr = 'NONE'

         ;;
         ;; Perform the searches such that the result window of a search
         ;; serves as the confinement window of the subsequent search.
         ;;

         ;;
         ;; Since the latitude coordinate varies slowly and is well behaved
         ;; over the time of the confinement window, search first for the
         ;; windows satisfying the latitude requirements, then use that
         ;; result as confinement for the longitude search.
         ;;
         coord  = 'LATITUDE'
         refval = 16.D * cspice_rpd()
         relate = '>'

         ;;
         ;; Perform this search using the geometric position
         ;; of the bodies; set the aberration correction to 'NONE'.
         ;;
         result1 = cspice_celld( MAXWIN*2 )

         cspice_gfsubc, target, fixref, method, abcorr, obsrvr,              $
                        crdsys, coord,  relate, refval, adjust,              $
                        step,   MAXWIN, cnfine, result1



         refval = 17.D * cspice_rpd()
         relate = '<'

         result2 = cspice_celld( MAXWIN*2 )

         cspice_gfsubc, target, fixref, method,  abcorr, obsrvr,             $
                        crdsys, coord,  relate,  refval, adjust,             $
                        step,   MAXWIN, result1, result2


         ;;
         ;; Now the longitude search.
         ;;
         coord  = 'LONGITUDE'

         ;;
         ;; Reset the step size to something appropriate for the 360
         ;; degrees in 24 hours domain. The longitude shows near
         ;; linear behavior so use a step size less than half the period
         ;; of twelve hours. Ten hours will suffice in this case.
         ;;
         step   = cspice_spd() * (10.D/24.D)

         refval = 85.D * cspice_rpd()
         relate = '>'

         result3 = cspice_celld( MAXWIN*2 )

         cspice_gfsubc, target, fixref, method,  abcorr, obsrvr,             $
                        crdsys, coord,  relate,  refval, adjust,             $
                        step,   MAXWIN, result2, result3


         ;;
         ;; Contract the endpoints of each window to account
         ;; for possible round-off error at the -180/180 degree branch.
         ;;
         ;; A contraction value of a millisecond should eliminate
         ;; any round-off caused branch crossing.
         ;;
         cspice_wncond, 1D-3, 1D-3, result3



         refval = 86.D0 * cspice_rpd()
         relate = '<'

         result4 = cspice_celld( MAXWIN*2 )

         cspice_gfsubc, target, fixref, method,  abcorr, obsrvr,             $
                        crdsys, coord,  relate,  refval, adjust,             $
                        step,   MAXWIN, result3, result4



         ;;
         ;; List the beginning and ending times in each interval
         ;; if result contains data.
         ;;

         result = result4
         count = cspice_wncard( result )

         if ( count eq 0 ) then begin

            print, 'Result window is empty.'

         endif else begin

            for i= 0L, (count - 1L ) do begin

               cspice_wnfetd, result, i, left, right
               cspice_timout, [left, right], TIMFMT, TIMLEN, timstr

               if ( left eq right ) then begin

                  print, 'Event time: ', timstr[0]

               endif else begin

                  ;;
                  ;; Determine the latitude and longitude of the subpoint
                  ;; at the event interval boundaries.
                  ;;
                  cspice_subpnt, method, target,  left,   fixref, abcorr,    $
                                 obsrvr, lspoint, trgepc, srfvec

                  cspice_reclat, lspoint, lrad, llong, llat

                  cspice_subpnt, method, target,  right,  fixref, abcorr,    $
                                 obsrvr, rspoint, trgepc, srfvec

                  cspice_reclat, rspoint, rrad, rlong, rlat

                  print, FORMAT='(2A,2F12.6)', 'From : ', timstr[0],         $
                              llat*cspice_dpr(), llong*cspice_dpr()
                  print, FORMAT='(2A,2F12.6)', 'To   : ', timstr[1],         $
                              rlat*cspice_dpr(), rlong*cspice_dpr()
                  print

               endelse

            endfor

         endelse

         ;;
         ;; It's always good form to unload kernels after use,
         ;; particularly in IDL due to data persistence.
         ;;
         cspice_kclear

      END


      When this program was executed on a Mac/Intel/IDL8.x/64-bit
      platform, the output was:


      From : 2007-MAY-05 06:14:04.637735 (TDB)   16.054356   86.000000
      To   : 2007-MAY-05 06:18:04.621907 (TDB)   16.055148   85.000004

      From : 2007-MAY-06 06:13:59.583483 (TDB)   16.337147   86.000000
      To   : 2007-MAY-06 06:17:59.569240 (TDB)   16.337927   85.000004

      From : 2007-MAY-07 06:13:55.102940 (TDB)   16.615444   86.000000
      To   : 2007-MAY-07 06:17:55.090299 (TDB)   16.616210   85.000004

      From : 2007-MAY-08 06:13:51.202604 (TDB)   16.889163   86.000000
      To   : 2007-MAY-08 06:17:51.191583 (TDB)   16.889916   85.000004

      From : 2007-AUG-06 06:23:17.282927 (TDB)   16.680717   86.000000
      To   : 2007-AUG-06 06:27:17.264010 (TDB)   16.679962   85.000004

      From : 2007-AUG-07 06:23:10.545441 (TDB)   16.406411   86.000000
      To   : 2007-AUG-07 06:27:10.524925 (TDB)   16.405643   85.000004

      From : 2007-AUG-08 06:23:03.233996 (TDB)   16.127678   86.000000
      To   : 2007-AUG-08 06:27:03.211889 (TDB)   16.126897   85.000004


Particulars


   This routine determines a set of one or more time intervals
   within the confinement window when the selected coordinate of
   the subpoint position vector satisfies a caller-specified
   constraint. The resulting set of intervals is returned as a SPICE
   window.

   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
   ==================

   Regardless of the type of constraint selected by the caller, this
   routine starts the search for solutions by determining the time
   periods, within the confinement window, over which the specified
   coordinate function is monotone increasing and monotone
   decreasing. Each of these time periods is represented by a SPICE
   window. Having found these windows, all of the coordinate
   function's local extrema within the confinement window are known.
   Absolute extrema then can be found very easily.

   Within any interval of these "monotone" windows, there will be at
   most one solution of any equality constraint. Since the boundary
   of the solution set for any inequality constraint is contained in
   the union of

   -  the set of points where an equality constraint is met

   -  the boundary points of the confinement window

   the solutions of both equality and inequality constraints can be
   found easily once the monotone windows have been found.


   Step Size
   =========

   The monotone windows (described above) are found using a two-step
   search process. 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 sign of the rate of
   change of coordinate will be sampled. Starting at
   the left endpoint of an interval, samples will be taken at each
   step. If a change of sign is found, a root has been bracketed; at
   that point, the time at which the time derivative of the
   coordinate is zero can be found by a refinement process, for
   example, using a binary search.

   Note that the optimal choice of step size depends on the lengths
   of the intervals over which the coordinate function is monotone:
   the step size should be shorter than the shortest of these
   intervals (within the confinement window).

   The optimal step size is *not* necessarily related to the lengths
   of the intervals comprising the result window. For example, if
   the shortest monotone interval has length 10 days, and if the
   shortest result window interval has length 5 minutes, a step size
   of 9.9 days is still adequate to find all of the intervals in the
   result window. In situations like this, the technique of using
   monotone windows yields a dramatic efficiency improvement over a
   state-based search that simply tests at each step whether the
   specified constraint is satisfied. The latter type of search can
   miss solution intervals if the step size is longer than the
   shortest solution interval.

   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
   =====================

   As described above, the root-finding process used by this routine
   involves first bracketing roots and then using a search process
   to locate them. "Roots" are both times when local extrema are
   attained and times when the coordinate function is equal to a
   reference value. All endpoints of the intervals comprising the
   result window are either endpoints of intervals of the
   confinement window or roots.

   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 default convergence tolerance
   used by this routine is set by the parameter SPICE_GF_CNVTOL (defined
   in IcyGF.pro).

   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.

   The user may change the convergence tolerance from the default
   SPICE_GF_CNVTOL value by calling the routine cspice_gfstol, e.g.

      cspice_gfstol, tolerance value

   Call cspice_gfstol prior to calling this routine. All subsequent
   searches will use the updated tolerance value.

   Setting 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.

   Practical use of the coordinate search capability would likely
   consist of searches over multiple coordinate constraints to find
   time intervals that satisfies the constraints. An
   effective technique to accomplish such a search is
   to use the result window from one search as the confinement window
   of the next.

   Certain types of searches require the state of the observer,
   relative to the solar system barycenter, to be computed at times
   slightly outside the confinement window `cnfine'. The time window
   that is actually used is the result of "expanding" `cnfine' by a
   specified amount "T": each time interval of `cnfine' is expanded by
   shifting the interval's left endpoint to the left and the right
   endpoint to the right by T seconds. Any overlapping intervals are
   merged. (The input argument `cnfine' is not modified.)

   The window expansions listed below are additive: if both
   conditions apply, the window expansion amount is the sum of the
   individual amounts.

   -  If a search uses an equality constraint, the time window
      over which the state of the observer is computed is expanded
      by 1 second at both ends of all of the time intervals
      comprising the window over which the search is conducted.

   -  If a search uses stellar aberration corrections, the time
      window over which the state of the observer is computed is
      expanded as described above.

   When light time corrections are used, expansion of the search
   window also affects the set of times at which the light time-
   corrected state of the target is computed.

   In addition to the possible 2 second expansion of the search
   window that occurs when both an equality constraint and stellar
   aberration corrections are used, round-off error should be taken
   into account when the need for data availability is analyzed.

   Longitude and Right Ascension
   =============================

   The cyclic nature of the longitude and right ascension coordinates
   produces branch cuts at +/- 180 degrees longitude and 0-360
   longitude. Round-off error may cause solutions near these branches
   to cross the branch. Use of the Icy routine cspice_wncond will contract
   solution windows by some epsilon, reducing the measure of the
   windows and eliminating the branch crossing. A one millisecond
   contraction will in most cases eliminate numerical round-off
   caused branch crossings.

Exceptions


   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, an error is signaled
       by a routine in the call tree of this routine.

   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. One technique to handle such a situation,
       slightly contract `result' using the window routine cspice_wncond.

   3)  If the number of intervals `nintvls' is less than 1, the error
       SPICE(VALUEOUTOFRANGE) is signaled by a routine in the call
       tree of this routine.

   4)  If the window size of `result' is less than 2, the error
       SPICE(INVALIDDIMENSION) is signaled by a routine in the call
       tree of this routine.

   5)  If the output SPICE window `result' has insufficient capacity
       to contain the number of intervals on which the specified
       distance condition is met, an error is signaled
       by a routine in the call tree of this routine.

   6)  If an error (typically cell overflow) occurs during
       window arithmetic, the error is signaled by a routine
       in the call tree of this routine.

   7)  If the relational operator `relate' is not recognized, an
       error is signaled by a routine in the call tree of this
       routine.

   8)  If the aberration correction specifier contains an
       unrecognized value, an error is signaled by a routine in the
       call tree of this routine.

   9)  If `adjust' is negative, an error is signaled by a routine in
       the call tree of this routine.

   10) If either of the input body names do not map to NAIF ID
       codes, an error is signaled by a routine in the call tree of
       this routine.

   11) If required ephemerides or other kernel data are not
       available, an error is signaled by a routine in the call tree
       of this routine.

   12) If the search uses GEODETIC or PLANETOGRAPHIC coordinates, and
       the center body of the reference frame has unequal equatorial
       radii, an error is signaled by a routine in the call tree of
       this routine.

   13) If any of the input arguments, `target', `fixref', `method',
       `abcorr', `obsrvr', `crdsys', `coord', `relate', `refval',
       `adjust', `step', `nintvls', `cnfine' or `result', is
       undefined, an error is signaled by the IDL error handling
       system.

   14) If any of the input arguments, `target', `fixref', `method',
       `abcorr', `obsrvr', `crdsys', `coord', `relate', `refval',
       `adjust', `step', `nintvls', `cnfine' or `result', is not of
       the expected type, or it does not have the expected dimensions
       and size, an error is signaled by the Icy interface.

Files


   Appropriate SPK and PCK kernels must be loaded by the calling
   program before this routine is called.

   The following data are required:

   -  SPK data: the calling application must load ephemeris data
      for the targets, observer, and any intermediate objects in
      a chain connecting the targets and observer that cover the
      time period specified by the window `cnfine'. 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 using
      cspice_furnsh.

   -  If non-inertial reference frames are used, then PCK
      files, frame kernels, C-kernels, and SCLK kernels may be
      needed.

   -  In some cases the observer's state may be computed at times
      outside of `cnfine' by as much as 2 seconds; data required to
      compute this state must be provided by loaded kernels. See
      -Particulars for details.

   Such kernel data are normally loaded once per program run, NOT
   every time this routine is called.

Restrictions


   1)  The kernel files to be used by this routine must be loaded
       (normally using the Icy routine cspice_furnsh) before this
       routine is called.

   2)  This routine has the side effect of re-initializing the
       coordinate quantity utility package. Callers may
       need to re-initialize the package after calling this routine.

Required_Reading


   ICY.REQ
   GF.REQ
   SPK.REQ
   CK.REQ
   TIME.REQ
   WINDOWS.REQ

Literature_References


   None.

Author_and_Institution


   J. Diaz del Rio     (ODC Space)
   E.D. Wright         (JPL)

Version


   -Icy Version 1.0.3, 03-NOV-2021 (JDR)

       Updated header to describe use of expanded confinement window.

       Edited the header to comply with NAIF standard. Added
       example's meta-kernel. Reformatted example's output.

       Added -Parameters, -Exceptions, -Files, -Restrictions,
       -Literature_References and -Author_and_Institution sections.

       Removed reference to the routine's corresponding CSPICE header from
       -Abstract section.

       Added arguments' type and size information in the -I/O section.

   -Icy Version 1.0.2, 05-SEP-2012 (EDW)

       Edit to comments to correct search description.

       Header updated to describe use of cspice_gfstol.

   -Icy Version 1.0.1, 22-AUG-2009 (EDW)

       Minor header edit "cosin" -> "cos".

       Edit to Example description, replaced "intercept" with
       "sub-observer point."

   -Icy Version 1.0.0, 15-APR-2009 (EDW)

Index_Entries


   GF subpoint coordinate search



Fri Dec 31 18:43:05 2021