c****************************************************************
c
c       Various curvature functions
c 
c
c****************************************************************
c**
c**	FILE NAME: curvature.f
c**
c**     DATE WRITTEN: 12/02/93
c**
c**     PROGRAMMER:Scott Hensley
c**
c** 	FUNCTIONAL DESCRIPTION: This routine computes the curvature for 
c**     of various types required for ellipsoidal or spherical earth 
c**     calculations.  
c**
c**     ROUTINES CALLED:none
c**  
c**     NOTES: none
c**
c**     UPDATE LOG:
c**
c*****************************************************************

        real*8 function  reast(r_a,r_e2,r_lat)

       	implicit none
        real*8 r_a,r_e2,r_lat
        
        reast = r_a/sqrt(1.d0 - r_e2*sin(r_lat)**2) 
      
        end  

        real*8 function  rnorth(r_a,r_e2,r_lat)

       	implicit none
        real*8 r_a,r_e2,r_lat
        
        rnorth = (r_a*(1.d0 - r_e2))/(1.d0 - r_e2*sin(r_lat)**2)**(1.5d0) 

        end

        real*8 function  rdir(r_a,r_e2,r_hdg,r_lat)

       	implicit none
        real*8 r_a,r_e2,r_lat,r_hdg,r_re,r_rn,reast,rnorth
        
        r_re = reast(r_a,r_e2,r_lat)
        r_rn = rnorth(r_a,r_e2,r_lat)

        rdir = (r_re*r_rn)/(r_re*cos(r_hdg)**2 + r_rn*sin(r_hdg)**2) 

        end