On the independent points in the sky for the search of periodic gravitational wave

TL;DR

This paper analyzes the number of independent sky points needed for periodic gravitational wave searches, considering Earth's initial azimuth and trade-offs between computational cost and sensitivity, especially for advanced LIGO.

Contribution

It provides a numerical relation to balance computational effort and sensitivity in gravitational wave sky searches, accounting for Earth's initial azimuth variations.

Findings

Significant variation in independent sky points based on Earth's initial azimuth.

Derived an approximate relation for trade-offs between computational cost and sensitivity.

Discussed feasibility of coherent searches in small frequency bands for advanced LIGO.

Abstract

We investigate the independent points in the sky require to search the periodic gravitational wave, assuming the noise power spectral density to be flat. We have made an analysis with different initial azimuth of the Earth for a week data set. The analysis shows significant difference in the independent points in the sky for the search. We numerically obtain an approximate relation to make trade-off between computational cost and sensitivities. We also discuss the feasibility of the coherent search in small frequency band in reference to advanced LIGO.