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Abstract
I/O
Examples
Particulars
Required Reading
Version
Index_Entries

Abstract


   CSPICE_DLATDR computes the Jacobian of the transformation from
   rectangular to latitudinal coordinates.

I/O


   Given:

      x,
      y,
      z    the rectangular coordinates of the point at which the Jacobian of
           the map from rectangular to latitudinal coordinates is desired.

           [1,n] = size(z); double = class(z)

   the call:

      jacobi = cspice_dlatdr( x, y, z)

   returns:

      jacobi   the matrix of partial derivatives of the conversion between
               rectangular and latitudinal coordinates. It has the form

               If [1,1] = size(x) then [3,3]   = size(jacobi).
               If [1,n] = size(x) then [3,3,n] = size(jacobi).
               double = class(jacobi)

                   -                             -
                  |  dr/dx     dr/dy     dr/dz    |
                  |                               |
                  |  dlon/dx   dlon/dy   dlon/dz  |
                  |                               |
                  |  dlat/dx   dlat/dy   dlat/dz  |
                   -                             -

               evaluated at the input values of x, y, and z.

Examples


   None.

Particulars



   When performing vector calculations with velocities it is
   usually most convenient to work in rectangular coordinates.
   However, once the vector manipulations have been performed
   it is often desirable to convert the rectangular representations
   into latitudinal coordinates to gain insights about phenomena
   in this coordinate frame.

   To transform rectangular velocities to derivatives of coordinates
   in a latitudinal system, one uses the Jacobian of the
   transformation between the two systems.

   Given a state in rectangular coordinates

      ( x, y, z, dx, dy, dz )

   the corresponding latitudinal coordinate derivatives are given by
   the matrix equation:

                       t          |                     t
      (dr, dlon, dlat)   = jacobi |        * (dx, dy, dz)
                                  |(x,y,z)

   This routine computes the matrix

            |
      jacobi|
            |(x, y, z)

Required Reading


   For important details concerning this module's function, please refer to
   the CSPICE routine dlatdr_c.

   MICE.REQ

Version


   -Mice Version 1.0.0, 12-MAR-2012, EDW (JPL), SCK (JPL)

Index_Entries


   Jacobian of rectangular w.r.t. latitudinal coordinates


Wed Apr  5 18:00:30 2017