**Problem 1:**

Estimate the upper limit that could be placed on the ellipticity of a neutron star rotating with a period of 60 Hz and located at a distance of 2 kpc in 1 year of LIGO observation. Compare with published limits on Crab pulsar.

**Problem 2:**

Using the zero-detuning, high-power Advanced LIGO noise spectrum , compute the distance to which an optimally located and oriented neutron star binary could be detected with SNR=8 in one detector?

**Problem 3:**

Prove the optimality of the Wiener matched filter.

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