A newly discovered faint asteroid and Mars are observed at opposition. Mars is observed to be 100 million times brighter than the asteroid. Assume Mars and the asteroid are 1.5 and 3.0 AU from the Sun respectively.
(a) Estimate the radius of the asteroid if it has an albedo of 16%.
(b) Estimate the radius of the asteroid if it has an albedo of 4%.
<br>brightness of Mars = 100*10^6*brightness of asteroid.
<br>Let radius of asteroid = Ra km
<br>Radius of Mars = 3400 Km
<br>distance of Asteroid from the Sun = (Ras) = 3 AU
<br>distance of the Mars from the ...