Answer:
Angular diameter of Mars = 15.80 * 10^5 arc seconds
The Angular diameter of Mars is 3 times the angular diameter of Jupiter
Explanation:
Average distance of the earth from sun = 150.67 * 10^6 km
assuming the radius of Mars ( average distance from sun) = 209.33 * 10^6 km
assuming the radius of Jupiter(average distance from sun) = 768.71 * 10^6 km
The small-angle formula for mars
angular diameter = ( linear diameter / distance ) * (2.06 * 10^5 )
distance between earth and mars = 54.6 * 10^6 km
linear diameter = 2 * radius = 418.66 * 10^6 km
angular diameter = ( 418.66 / 54.6 ) * 2.06 * 10^5
= 15.80 * 10^5 arc seconds
small angel formula for Jupiter
Angular diameter = ( linear diameter / distance ) * (2.06 * 10^5)
distance between Jupiter and earth = 588 * 10^6 km
linear diameter = 2 * radius = 1537.42 * 10^6 km
Angular diameter = ( 1537.42 / 588) * 2.06*10^5
= 5.39 * 10^5 arc seconds
comparing the angular diameter of the Mars and that of Jupiter :
The angular diameter of mars / angular diameter of Jupiter
= 15.80 / 5.39 = 2.931 ≈ 3
