CSPICE_DLATDR computes the Jacobian of the transformation from
rectangular to latitudinal coordinates.
For important details concerning this module's function, please refer to
the CSPICE routine dlatdr_c.
z scalar double precision describing the rectangular
coordinates of the point at which the Jacobian of the map from
rectangular to latitudinal coordinates is desired.
cspice_dlatdr, x, y, z, jacobi
jacobi double precision 3x3 matrix describing the matrix of partial
derivatives of the conversion between rectangular and
latitudinal coordinates. It has the form
| 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'.
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)
This routine computes the matrix
|(x, y, z)
-Icy Version 1.0.0, 28-DEC-2010, EDW (JPL)
Jacobian of rectangular w.r.t. latitudinal coordinates