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% (C) 2010 by Eugeniy Mikhailov, <evgmik@gmail.com>
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\hw{02}

\problem{Problem 1 (5 points)}
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Atmosphere conditions allow only 0.25$''$ resolution. 
Is a \$50 telescope with objective lens diameter of 20~cm much worse
than 10~m lens telescope from practical resolution point of view.
Why would we still invest in large Earth based telescopes?

\problem{Problem 2 (5 points)}
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What are the advantages of a space based telescope. Hint it is not only in
resolution.

\problem{Problem 3 (5 points)}
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Hanbury Brown and Twiss measured that they needed $\approx 10$~m base line
to bring intensity interferometer visibility to zero. Sirius Radius is
1.7~$R\odot$ and distance to it is 2.64~pc. Estimate the correlation time
of the detected light.


\problem{Problem 4 (5 points)}
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Prove Kepler's third law for  perfectly circular orbit around super massive
point i.e. $P^2=R^3$. Where $P$ is the period of the orbital motion and $R$
its radius.


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