projection              package:ssBase              R Documentation

_T_r_a_n_s_f_o_r_m_s _S_p_h_e_r_i_c_a_l _C_o_o_r_d_i_n_a_t_e_s _t_o _C_a_r_t_e_s_i_a_n

_D_e_s_c_r_i_p_t_i_o_n:

     Transforms spherical coordinates to Cartesian and rotates. Have
     spherical coordinates '(rho, phi,theta)'. 'rho' (rho) is the
     radius, 'theta' (theta can be thought of as the longitude and
     'phi' (phi) the latitude. The resultant coordinates (x,y,z) are
     rotated such that the point with longitude 'alpha' (alpha) and
     latitude 'beta' (beta) becomes the new north pole. Thus a plot of
     the new x*y plane is Azimuths projection, centered at the new
     reference point.

_U_s_a_g_e:

     projection(rho, phi, theta, alpha, beta)

_A_r_g_u_m_e_n_t_s:

     rho: a vector with the radius component of the original spherical
          coordinates for each point. 

     phi: a vector with the latitude component of the original
          spherical coordinates for each point. 

   theta: a vector with the longitude component of the original
          spherical coordinates for each point. 

   alpha: a scalar giving the longitude of the centre of the new
          hemisphere (pole). 

    beta: a scalar giving the latitude of the centre of the new
          hemisphere (pole). 

_V_a_l_u_e:

     A list object containing the following vectors of the same length:

       x: the x component of the new Cartesian coordinates. 

       y: the y component of the new Cartesian coordinates. 

       z: the z component of the new Cartesian coordinates. 

_S_e_e _A_l_s_o:

     'hemisphere'

