cspice_termpt |
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## AbstractCSPICE_TERMPT finds terminator points on a target body. The terminator is the set of points of tangency on the target body of planes tangent to both this body and to a light source. The caller specifies half-planes, bounded by the illumination source center-target center vector, in which to search for terminator points. The terminator can be either umbral or penumbral. The umbral terminator is the boundary of the region on the target surface where no light from the source is visible. The penumbral terminator is the boundary of the region on the target surface where none of the light from the source is blocked by the target itself. The surface of the target body may be represented either by a triaxial ellipsoid or by topographic data. ## I/OGiven: method is a short string providing parameters defining the computation method to be used. In the syntax descriptions below, items delimited by angle brackets "<>" are to be replaced by actual values. Items delimited by brackets "[]" are optional. [1,c1] = size(method); char = class(method) or [1,1] = size(method); cell = class(method) `method' may be assigned the following values: '<shadow>/<curve type>/<shape specification>' An example of such a string is 'UMBRAL/TANGENT/DSK/UNPRIORITIZED' In the `method' string <shadow> may be either of the strings 'UMBRAL' indicates the terminator is the boundary of the portion of the surface that receives no light from the illumination source. The shape of the source is modeled as a sphere. 'PENUMBRAL' indicates the terminator is the boundary of the portion of the surface that receives all possible light from the illumination source. The shape of the source is modeled as a sphere. The penumbral terminator bounds the portion of the surface that is not subject to self-occultation of light from the illumination source. Given that the light source is modeled as a sphere, from any target surface point nearer to the source than the penumbral terminator, the source appears to be a lit disc. <curve type> may be either of the strings 'TANGENT' for topographic (DSK) target models indicates that a terminator point is defined as the point of tangency, on the surface represented by the specified data, of a line also tangent to the illumination source. For ellipsoidal target models, a terminator point is a point of tangency of a plane that is also tangent to the illumination source. See the Particulars section below for details. Terminator points are generated within a specified set of "cutting" half-planes that have as an edge the line containing the illumination source-target vector. Multiple terminator points may be found within a given half-plane, if the target body shape allows for this. This is the highest-accuracy method supported by this subroutine. It generally executes much more slowly than the GUIDED method described below. 'GUIDED' indicates that terminator points are "guided" so as to lie on rays emanating from the target body's center and passing through the terminator on the target body's reference ellipsoid. The terminator points are constrained to lie on the target body's surface. As with the 'TANGENT' method (see above), cutting half-planes are used to generate terminator points. The GUIDED method produces a unique terminator point for each cutting half-plane. If multiple terminator point candidates lie in a given cutting half-plane, the outermost one is chosen. This method may be used only with the CENTER aberration correction locus (see the description of REFLOC below). Terminator points generated by this method are approximations; they are generally not true ray-surface tangent points. However, these approximations can be generated much more quickly than tangent points. <shape specification> may be either of the strings 'DSK/UNPRIORITIZED[/SURFACES = <surface list>]' The DSK option indicates that terminator point computation uses topographic data provided by DSK files (abbreviated as "DSK data" below) to model the surface of the target body. The surface list specification is optional. The syntax of the list is <surface 1> [, <surface 2>...] If present, it indicates that data only for the listed surfaces are to be used; however, data need not be available for all surfaces in the list. If the list is absent, loaded DSK data for any surface associated with the target body are used. The surface list may contain surface names or surface ID codes. Names containing blanks must be delimited by double quotes, for example 'SURFACES = "Mars MEGDR 128 PIXEL/DEG"' If multiple surfaces are specified, their names or IDs must be separated by commas. See the Particulars section below for details concerning use of DSK data. 'ELLIPSOID' The ELLIPSOID shape option generates terminator points on the target body's reference ellipsoid. When the ELLIPSOID shape is selected, The TANGENT curve option may be used with any aberration correction locus, while the GUIDED option may be used only with the CENTER locus (see the description of REFLOC below). When the locus is set to 'CENTER', the 'TANGENT' and 'GUIDED' curve options produce the same results. Neither case nor white space are significant in `method', except within double-quoted strings. For example, the string ' eLLipsoid/tAnGenT ' is valid. Within double-quoted strings, blank characters are significant, but multiple consecutive blanks are considered equivalent to a single blank. Case is not significant. So "Mars MEGDR 128 PIXEL/DEG" is equivalent to " mars megdr 128 pixel/deg " but not to "MARS MEGDR128PIXEL/DEG" ilusrc is the name of the illumination source. This source may be any ephemeris object. Case, blanks, and numeric values are treated in the same way as for the input `target'. [1,c2] = size(ilusrc); char = class(ilusrc) or [1,1] = size(ilusrc); cell = class(ilusrc) The shape of the illumination source is considered to be spherical. The radius of the sphere is the largest radius of the source's reference ellipsoid. target is the name of the target body. The target body is an extended ephemeris object. [1,c3] = size(target); char = class(target) or [1,1] = size(target); cell = class(target) The string `target' is case-insensitive, and leading and trailing blanks in `target' are not significant. Optionally, you may supply a string containing the integer ID code for the object. For example both 'MOON' and '301' are legitimate strings that indicate the Moon is the target body. When the target body's surface is represented by a tri-axial ellipsoid, this routine assumes that a kernel variable representing the ellipsoid's radii is present in the kernel pool. Normally the kernel variable would be defined by loading a PCK file. et is the epoch of participation of the observer, expressed as TDB seconds past J2000 TDB: `et' is the epoch at which the observer's state is computed. When aberration corrections are not used, `et' is also the epoch at which the position and orientation of the target body are computed. When aberration corrections are used, the position and orientation of the target body are computed at et-lt, where `lt' is the one-way light time between the aberration correction locus and the observer. The locus is specified by the input argument `corloc'. See the descriptions of `abcorr' and `corloc' below for details. fixref is the name of a body-fixed reference frame centered on the target body. `fixref' may be any such frame supported by the SPICE system, including built-in frames (documented in the Frames Required Reading) and frames defined by a loaded frame kernel (FK). The string `fixref' is case-insensitive, and leading and trailing blanks in `fixref' are not significant. [1,c4] = size(fixref); char = class(fixref) or [1,1] = size(fixref); cell = class(fixref) The output terminator points in the array `points' and the output observer-terminator vectors in the array `tangts' are expressed relative to this reference frame. abcorr indicates the aberration corrections to be applied when computing the target's position and orientation. Corrections are applied at the location specified by the aberration correction locus argument `corloc', which is described below. [1,c5] = size(abcorr); char = class(abcorr) or [1,1] = size(abcorr); cell = class(abcorr) For remote sensing applications, where apparent terminator points 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. `abcorr' may be any of the following: 'NONE' Apply no correction. Return the geometric terminator points on the target body. Let `lt' represent the one-way light time between the observer and the aberration correction locus. The following values of `abcorr' apply to the "reception" case in which photons depart from the locus at the light-time corrected epoch et-lt and *arrive* at the observer's location at `et': 'LT' Correct for one-way light time (also called "planetary aberration") using a Newtonian formulation. This correction yields the locus at the moment it emitted photons arriving at the observer at `et'. The light time correction uses an iterative solution of the light time equation. The solution invoked by the 'LT' option uses one iteration. Both the target position as seen by the observer, and rotation of the target body, are corrected for light time. The position of the illumination source as seen from the target is corrected as well. 'LT+S' Correct for one-way light time and stellar aberration using a Newtonian formulation. This option modifies the locus obtained with the 'LT' option to account for the observer's velocity relative to the solar system barycenter. These corrections yield points on the apparent terminator. 'CN' Converged Newtonian light time correction. In solving the light time equation, the 'CN' correction iterates until the solution converges. Both the position and rotation of the target body are corrected for light time. The position of the illumination source as seen from the target is corrected as well. 'CN+S' Converged Newtonian light time and stellar aberration corrections. This option produces a solution that is at least as accurate at that obtainable with the 'LT+S' option. Whether the 'CN+S' solution is substantially more accurate depends on the geometry of the participating objects and on the accuracy of the input data. In all cases this routine will execute more slowly when a converged solution is computed. corloc is a string specifying the aberration correction locus: the point or set of points for which aberration corrections are performed. [1,c6] = size(corloc); char = class(corloc) or [1,1] = size(corloc); cell = class(corloc) `corloc' may be assigned the values: 'CENTER' Light time and stellar aberration corrections are applied to the vector from the observer to the center of the target body. The one way light time from the target center to the observer is used to determine the epoch at which the target body orientation is computed. This choice is appropriate for small target objects for which the light time from the surface to the observer varies little across the entire target. It may also be appropriate for large, nearly ellipsoidal targets when the observer is very far from the target. Computation speed for this option is faster than for the ELLIPSOID TERMINATOR option. 'ELLIPSOID TERMINATOR' Light time and stellar aberration corrections are applied to individual terminator points on the reference ellipsoid. For a terminator point on the surface described by topographic data, lying in a specified cutting half-plane, the unique reference ellipsoid terminator point in the same half-plane is used as the locus of the aberration corrections. This choice is appropriate for large target objects for which the light time from the terminator to the observer is significantly different from the light time from the target center to the observer. Because aberration corrections are repeated for individual terminator points, computational speed for this option is relatively slow. obsrvr is the name of the observing body. The observing body is an ephemeris object: it typically is a spacecraft, the earth, or a surface point on the earth. `obsrvr' is case-insensitive, and leading and trailing blanks in `obsrvr' are not significant. Optionally, you may supply a string containing the integer ID code for the object. For example both 'MOON' and '301' are legitimate strings that indicate the Moon is the observer. [1,c7] = size(obsrvr); char = class(obsrvr) or [1,1] = size(obsrvr); cell = class(obsrvr) refvec, rolstp, ncuts are, respectively, a reference vector, a roll step angle, and a count of cutting half-planes. [3,1] = size(refvec); double = class(refvec) [1,1] = size(rolstp); double = class(rolstp) [1,1] = size(ncuts); int32 = class(ncuts) `refvec' defines the first of a sequence of cutting half-planes in which terminator points are to be found. Each cutting half-plane has as its edge the line containing the target-illumination source vector; the first half-plane contains `refvec'. `refvec' is expressed in the body-fixed reference frame designated by `fixref'. `rolstp' is an angular step by which to roll the cutting half-planes about the target-illumination source vector, which we'll call the "axis." The ith half-plane is rotated from `refvec' about the axis in the counter-clockwise direction by i*rolstp. Units are radians. `rolstp' should be set to 2*pi/ncuts to generate an approximately uniform distribution of points along the terminator. `ncuts' is the number of cutting half-planes used to find terminator points; the angular positions of consecutive half-planes increase in the positive (counterclockwise) sense about the axis and are distributed roughly equally about that vector: each half-plane has angular separation of approximately `rolstp' radians from each of its neighbors. When the aberration correction locus is set to "CENTER", the angular separation is the value above, up to round-off. When the locus is "TANGENT", the separations are less uniform due to differences in the aberration corrections used for the respective terminator points. schstp, soltol are used only for DSK-based surfaces. These inputs are, respectively, the search angular step size and solution convergence tolerance used to find tangent rays and associated terminator points within each cutting half plane. [1,1] = size(schstp); double = class(schstp) [1,1] = size(soltol); double = class(soltol) These values are used when the `method' argument includes the TANGENT option. In this case, terminator points are found by a two-step search process: 1) Bracketing: starting with a direction having sufficiently small angular separation from the axis, rays emanating from the illumination source are generated within the half-plane at successively greater angular separations from the axis, where the increment of angular separation is `schstp'. The rays are tested for intersection with the target surface. When a transition from non-intersection to intersection is found, the angular separation of a tangent ray has been bracketed. 2) Root finding: each time a tangent ray is bracketed, a search is done to find the angular separation from the axis at which a tangent ray exists. The search terminates when successive rays are separated by no more than `soltol'. When the search converges, the last ray-surface intersection point found in the convergence process is considered to be a terminator point. `schstp' and `soltol' have units of radians. Target bodies with simple surfaces---for example, convex shapes---will have a single terminator point within each cutting half-plane. For such surfaces, `schstp' can be set large enough so that only one bracketing step is taken. A value greater than pi, for example 4., is recommended. Target bodies with complex surfaces can have multiple terminator points within a given cutting half-plane. To find all terminator points, `schstp' must be set to a value smaller than the minimum angular separation of any two terminator points in any cutting half-plane, where the vertex of the angle is on the illumination source. `schstp' must not be too small, or the search will be excessively slow. For both kinds of surfaces, `soltol' must be chosen so that the results will have the desired precision. Note that the choice of `soltol' required to meet a specified bound on terminator point height errors depends on the illumination source-target distance. maxn is the maximum number of terminator points that can be stored in the output array `points'. [1,1] = size(maxn); int32 = class(maxn) the call: [npts, points, epochs, tangts] = ## ExamplesAny 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. Example(1): Find apparent terminator points on Phobos as seen from Mars. Use the "umbral" shadow definition. Due to Phobos' irregular shape, the TANGENT terminator point definition will be used. It suffices to compute light time and stellar aberration corrections for the center of Phobos, so the CENTER aberration correction locus will be used. Use converged Newtonian light time and stellar aberration corrections in order to model the apparent position and orientation of Phobos. For comparison, compute terminator points using both ellipsoid and topographic shape models. Use the target body-fixed +Z axis as the reference direction for generating cutting half-planes. This choice enables the user to see whether the first terminator point is near the target's north pole. For each option, use just three cutting half-planes in order to keep the volume of output manageable. In most applications, the number of cuts and the number of resulting terminator points would be much greater. Use the meta-kernel below to load the required SPICE kernels. KPL/MK File: limbpt_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 --------- -------- de430.bsp Planetary ephemeris mar097.bsp Mars satellite ephemeris pck00010.tpc Planet orientation and radii naif0011.tls Leapseconds phobos512.bds DSK based on Gaskell ICQ Q=512 Phobos plate model \begindata PATH_SYMBOLS = 'GEN' PATH_VALUES = '/ftp/pub/naif/generic_kernels' KERNELS_TO_LOAD = ( 'de430.bsp', 'mar097.bsp', 'pck00010.tpc', 'naif0011.tls', '$GEN/dsk/phobos/phobos512.bds' ) \begintext function termpt_t MAXN = 10000; method = { 'UMBRAL/TANGENT/ELLIPSOID', ... 'UMBRAL/TANGENT/DSK/UNPRIORITIZED' }; z = [ 0.0, 0.0, 1.0 ]'; % % Load kernel files via the meta-kernel. % cspice_furnsh( 'termpt_t.tm' ) % % Set illumination source, target, observer, % and target body-fixed, body-centered reference frame. % ilusrc = 'SUN'; obsrvr = 'MARS'; target = 'PHOBOS'; fixref = 'IAU_PHOBOS'; % % Set aberration correction and correction locus. % abcorr = 'CN+S'; corloc = 'CENTER'; % % Convert the UTC request time string to seconds past % J2000, TDB. % et = cspice_str2et( '2008 AUG 11 00:00:00' ); % % Compute a set of terminator points using light % time and stellar aberration corrections. Use % both ellipsoid and DSK shape models. Use an % angular step size corresponding to a height of % about 100 meters to ensure we don't miss the % terminator. Set the convergence tolerance to limit % the height convergence error to about 1 meter. % Compute 3 terminator points for each computation % method. % % Get the approximate light source-target distance % at ET. We'll ignore the observer-target light % time for this approximation. % [pos, lt] = cspice_spkpos( ilusrc, et, 'J2000', abcorr, target ); dist = norm( pos ); schstp = 1.0e-1 / dist; soltol = 1.0e-3 / dist; ncuts = 3; fprintf ( ['\n' ... 'Light source: %s\n' ... 'Observer: %s\n' ... 'Target: %s\n' ... 'Frame: %s\n' ... '\n' ... 'Number of cuts: %d\n' ], ... char(ilusrc), ... char(obsrvr), ... char(target), ... char(fixref), ... ncuts ); delrol = cspice_twopi()/ ncuts; for i = 1:numel(method) [npts, points, trgeps, tangts] = ## ParticularsUsing DSK data ============== DSK loading and unloading ------------------------- DSK files providing data used by this routine are loaded by calling cspice_furnsh and can be unloaded by calling cspice_unload or cspice_kclear. See the documentation of cspice_furnsh for limits on numbers of loaded DSK files. For run-time efficiency, it's desirable to avoid frequent loading and unloading of DSK files. When there is a reason to use multiple versions of data for a given target body---for example, if topographic data at varying resolutions are to be used---the surface list can be used to select DSK data to be used for a given computation. It is not necessary to unload the data that are not to be used. This recommendation presumes that DSKs containing different versions of surface data for a given body have different surface ID codes. DSK data priority ----------------- A DSK coverage overlap occurs when two segments in loaded DSK files cover part or all of the same domain---for example, a given longitude-latitude rectangle---and when the time intervals of the segments overlap as well. When DSK data selection is prioritized, in case of a coverage overlap, if the two competing segments are in different DSK files, the segment in the DSK file loaded last takes precedence. If the two segments are in the same file, the segment located closer to the end of the file takes precedence. When DSK data selection is unprioritized, data from competing segments are combined. For example, if two competing segments both represent a surface as sets of triangular plates, the union of those sets of plates is considered to represent the surface. Currently only unprioritized data selection is supported. Because prioritized data selection may be the default behavior in a later version of the routine, the UNPRIORITIZED keyword is required in the `method' argument. Syntax of the `method' input argument ------------------------------------- The keywords and surface list in the `method' argument are called "clauses." The clauses may appear in any order, for example UMBRAL/TANGENT/DSK/UNPRIORITIZED/<surface list> DSK/UMBRAL/TANGENT/<surface list>/UNPRIORITIZED UNPRIORITIZED/<surface list>/DSK/TANGENT/UMBRAL The simplest form of the `method' argument specifying use of DSK data is one that lacks a surface list, for example: 'PENUMBRAL/TANGENT/DSK/UNPRIORITIZED' 'UMBRAL/GUIDED/DSK/UNPRIORITIZED' For applications in which all loaded DSK data for the target body are for a single surface, and there are no competing segments, the above strings suffice. This is expected to be the usual case. When, for the specified target body, there are loaded DSK files providing data for multiple surfaces for that body, the surfaces to be used by this routine for a given call must be specified in a surface list, unless data from all of the surfaces are to be used together. The surface list consists of the string SURFACES = followed by a comma-separated list of one or more surface identifiers. The identifiers may be names or integer codes in string format. For example, suppose we have the surface names and corresponding ID codes shown below: Surface Name ID code ------------ ------- "Mars MEGDR 128 PIXEL/DEG" 1 "Mars MEGDR 64 PIXEL/DEG" 2 "Mars_MRO_HIRISE" 3 If data for all of the above surfaces are loaded, then data for surface 1 can be specified by either 'SURFACES = 1' or 'SURFACES = "Mars MEGDR 128 PIXEL/DEG"' Double quotes are used to delimit the surface name because it contains blank characters. To use data for surfaces 2 and 3 together, any of the following surface lists could be used: 'SURFACES = 2, 3' 'SURFACES = "Mars MEGDR 64 PIXEL/DEG", 3' 'SURFACES = 2, Mars_MRO_HIRISE' 'SURFACES = "Mars MEGDR 64 PIXEL/DEG", Mars_MRO_HIRISE' An example of a `method' argument that could be constructed using one of the surface lists above is 'NADIR/DSK/UNPRIORITIZED/SURFACES= "Mars MEGDR 64 PIXEL/DEG",3' ## Required ReadingFor important details concerning this module's function, please refer to the CSPICE routine termpt_c. MICE.REQ CK.REQ DSK.REQ FRAMES.REQ NAIF_IDS.REQ PCK.REQ SPK.REQ TIME.REQ ## Version-Mice Version 1.0.0, 15-DEC-2016, EDW (JPL), NJB (JPL), ML (JPL) ## Index_Entriesfind terminator points on target body |

Wed Apr 5 18:00:36 2017