Problem#$7)$

Compare the Equation of time provided in the texthook $($Eq$.1\mathrm{.}5\mathrm{.}3)$ with the one used by the

Australian Space Academy given below by plotting $\text{'}n\text{'}$ for the whole year using Microsoff

Excel. Report the average and maximum difference in scconds $($not percentage error$)$ for the

year as well as provide the following plots: i$)$ both equations of time for the whole year, ii$)$

difference in value for the whole year.

where

$E=9\mathrm{.}87sin(2B)-7\mathrm{.}67sin(B+78\mathrm{.}7)$

$B^{+}=(n-81)\frac{360}{365}$