Solved: How to estimate the radius of the asteroid, Physics

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How to estimate the radius of the asteroid

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Q: 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%.

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