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Abstract
I/O
Examples
Particulars
Required Reading
Version
Index_Entries

Abstract


   CSPICE_DCYLDR computes the Jacobian of the transformation from
   rectangular to cylindrical coordinates.

I/O


   Given:

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

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

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

          the rectangular coordinates of the point at which the Jacobian of
          the map from rectangular to cylindrical coordinates is desired.

   the call:

      jacobi = cspice_dcyldr( x, y, z)

   returns:

      jacobi   the matrix of partial derivatives of the conversion between
               rectangular and cylindrical 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  |
                  |                              |
                  |  dz/dx     dz/dy    dz/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 cylindrical coordinates to gain insights about phenomena
   in this coordinate frame.

   To transform rectangular velocities to derivatives of
   coordinates in a cylindrical 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 velocity in cylindrical coordinates is given by the matrix
   equation:

                    t          |                     t
      (dr, dlon, dz)   = 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 dcyldr_c.

   MICE.REQ

Version


   -Mice Version 1.0.0, 11-NOV-2013, EDW (JPL), SCK (JPL)

Index_Entries


   Jacobian of cylindrical w.r.t. rectangular coordinates


Wed Apr  5 18:00:30 2017