Table 5.2f: Expresssions for the difference between the IAU 2006 and IAU 2000A expressions for X and Y, Dpsi and Deps ---------------------------------------------------------------------------------- The non-polynomial part of each expression (ARG being for various combination of the fundamental arguments of the nutation theory) is written as: Sum_i[D_{s,0})_i * sin(ARG) + D_{c,0})_i * cos(ARG)] + Sum_i,j=1,4 [D_{s,j})_i * sin(ARG) + D_{c,j})_i * cos(ARG)] * t^j The Tables below provides the values for D_{s,j})_i and D_{c,j})_i The expressions for the fundamental arguments appearing in columns 4 to 8 are those of the IERS Conventions 2003 ---------------------------------------------------------------------------------- 1) Difference between the IAU 2006 and IAU 2000A expressions for X and Y ---------------------------------------------------------------------------------- 1-1 X_IAU 2006 - X_IAU2000A = polynomial part + non-polynomial part ---------------------------------------------------------------------------------- Polynomial part (unit microarcsecond) 155. t - 2564.0 t^2 + 2.20 t^3 + 53.63 t^4 ---------------------------------------------------------------------------------- Non-polynomial part (unit microarcsecond; cutoff: 0.1 microarcsecond) Note that, according to Eq. (16) of Chapter 5, D_{s,j})_i is for the difference in a_{s,j})_i, D_{c,j})_i is for the difference in a_{c,j})_i, ----------------------------------------------------------------- i D_{s,j})_i D_{c,j})_i l l' F D Om ----------------------------------------------------------------- j = 1 Nb of terms = 5 1 18.75 -0.04 0 0 0 0 1 2 1.44 0.00 0 0 2 -2 2 3 0.25 0.00 0 0 2 0 2 4 -0.22 0.00 0 0 0 0 2 5 -0.17 0.00 0 1 0 0 0 j = 2 Nb of terms = 1 6 -0.02 -0.80 0 0 0 0 1 ----------------------------------------------------------------- ---------------------------------------------------------------------------------- 1-2 Y_IAU 2006 - Y_IAU2000A = polynomial part + non-polynomial part ---------------------------------------------------------------------------------- Polynomial part (unit microarcsecond) - 0.2 - 514. t - 23.7 t^2 + 58.31 t^3 - 0.53 t^4 - 0.85 t^5 ---------------------------------------------------------------------------------- Non-polynomial part (unit microarcsecond; cutoff: 0.1 microarcsecond) Note that, according to Eq. (16) of Chapter 5, D_{s,j})_i is for the difference in b_{s,j})_i, D_{c,j})_i is for the difference in b_{c,j})_i, ----------------------------------------------------------------- i D_{s,j})_i D_{c,j})_i l l' F D Om ----------------------------------------------------------------- j = 1 Nb of terms = 4 2 -0.03 -25.57 0 0 0 0 1 3 0.00 -1.59 0 0 2 -2 2 4 0.00 -0.27 0 0 2 0 2 5 0.01 0.25 0 0 0 0 2 j = 2 Nb of terms = 1 6 -0.59 0.00 0 0 0 0 1 ----------------------------------------------------------------- ---------------------------------------------------------------------------------- 2) Difference between the IAU 2000_R06 and IAU 2000A nutation expressions 2-1: Nutation in longitude, Dpsi Note that, according to Eq. (35) of Chapter 5, D_{s,0})_i is for the difference in A_i, D_{c,0})_i is for the difference in A"_i D_{s,1})_i is for the difference in A'_i, D_{c,1})_i is for the difference in A"'_i ------------------------------------------------------------------ Dpsi(IAU 2000A_R06 - IAU 2000A) (unit microarcsecond; cutoff: 0.1 microarcsecond) ------------------------------------------------------------------ i D_{s,j})_i D_{c,j})_i l l' F D Om -------------------------------------------------------------- j = 0 Nb of terms = 4 1 -8.08 0.00 0 0 0 0 1 2 -0.62 0.00 0 0 2 -2 2 3 -0.11 0.00 0 0 2 0 2 4 0.10 0.00 0 0 0 0 2 j = 1 Nb of terms = 8 5 47.78 -0.01 0 0 0 0 1 6 3.66 0.00 0 0 2 -2 2 7 0.63 0.00 0 0 2 0 2 8 -0.58 0.00 0 0 0 0 2 9 -0.41 0.00 0 1 0 0 0 10 -0.20 0.00 1 0 0 0 0 11 0.14 0.00 0 1 2 -2 2 12 0.11 0.00 0 0 2 0 1 ------------------------------------------------------------------ 2-2: Nutation in longitude, Deps Note that, according to Eq. (35) of Chapter 5, D_{s,0})_i is for the difference in B"_i, D_{c,0})_i is for the difference in B_i D_{s,1})_i is for the difference in B"'_i, D_{c,1})_i is for the difference in B'_i ------------------------------------------------------------------ Deps(IAU 2000A_R06 - IAU 2000A) (unit microarcsecond; cutoff: 0.1 microarcsecond) ------------------------------------------------------------------ i D_{s,j})_i D_{c,j})_i l l' F D Om -------------------------------------------------------------- j = 1 Nb of terms = 4 1 0.00 -25.57 0 0 0 0 1 2 0.00 -1.59 0 0 2 -2 2 3 0.00 -0.27 0 0 2 0 2 4 0.00 0.25 0 0 0 0 2 -----------------------------------------------------------------