An Introduction to Modern Astrophysics · Problem 20.4

The Formation of Planetary Systems — Carroll & Ostlie

Physics — Astrophysics · radar-angular-resolution-mercury

Problem

(a) Estimate the angular resolution of the 70-m radio dish of the NASA Goldstone tracking station mentioned in footnote 1 on page 739. Assume that it is operating at a wavelength of 3.5 cm. (b) What is the angular size of Mercury at inferior conjunction? Assume (incorrectly) for this problem that the planet's orbit is circular. (c) If the power in the radar signal was approximately uniformly distributed across the cone-shaped beam, how much power actually arrived at the surface of Mercury? (d) Suppose that all of the radar energy striking the surface of Mercury were reflected isotropically back into a hemisphere. What would be the signal flux received at the VLA?

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