The orbital radius of mercury around the sun is 0.38 A U. Determine the angle of maximum elogation for mercury and its distance from earth, where elognation is maximum,

The orbital radius of mercury around the sun is 0.38 A U. Determine th

1.	The orbital radius of mercury around the sun is 0.38 A U. Determine the angle of maximum elogation for mercury and its distance from earth, where elognation is maximum,
Answer» Solution :Here, `r_(ps)=0.38A U , r_(ES)= 1A U` The angle of maximum elongation `"in"`is given by `SIN "in" = (r_(ps))/(r_(es)) = (0.38)/(1)` Now,`r_(pe) =r_(es)xxcos "in"` `1.496xx10^(11) cos (22.3^@)` `=1.496xx10^(11)xx0.9252 = 1.384xx10^(11)m` `=1.384xx10^8km`