Continued fraction mapping function Basic form of mapping function was deduced by marini( 1972)and matches the behavior of the atmosphere at near zenith and lot elevation angles. Form is m(E)= sin(e)+ SIn(e)+ sin(e)+ sin(e)+ 0409/03 12540Lec15 Truncated version When the mapping function is truncated to the finite number of terms then the form is 1+ m(E)= I+c sin(e)+ sIn(e)+- b sin(e)+c when E=90: m(e)=1 Davis et al. 1991 solved problem by using tan for second sin argument 04903 12540Lec1504/09/03 12.540 Lec 15 15 Continued fraction mapping function elevation angles. Form is: m(e) = 1 sin(e) + a sin(e) + b sin(e) + c sin(e) +L • Basic form of mapping function was deduced by Marini (1972) and matches the behavior of the atmosphere at near-zenith and low 04/09/03 12.540 Lec 15 16 Truncated version m(e) = 1+ a 1+ b 1+ c e) + a e) + b e) + c when e = 90; m(e) =1 Davis et al. 1991 solved problem by using tan for second sin argument. • When the mapping function is truncated to the finite number of terms then the form is: sin( sin( sin( 8