Colatitude dependence Solution for colatitude function generates Legendre polynomials and associated functions The polynomials occur when m=0 in n dependence. t=cos(0) Pn()= 2 nl dt 02/1302 12.540Lec0302/13/02 12.540 Lec 03 6 Colatitude dependence • Solution for colatitude function generates Legendre polynomials and associated functions. • The polynomials occur when m=0 in λ dependence. t=cos( θ ) Pn ( t ) = 1 2 n n! d n d t n ( t 2 −1) n