Ta. Apostolatos, CONSTRUCTION OF A TEMPLATE FAMILY FOR THE DETECTION OF GRAVITATIONAL-WAVES FROM COALESCING BINARIES, Physical review. D. Particles and fields, 54(4), 1996, pp. 2421-2437
A discrete set of theoretical waveforms should be ready to use when se
arches for gravitational waves at the noisy output of the laser interf
erometric detectors that are presently under construction begin. In th
is paper we extend the method introduced by Sathyaprakash and Dhurandh
ar to construct such a family of templates, that was based on simple N
ewtonian signals, to post(2)-Newtonian signals that may be modulated d
ue to spin induced precession. More specifically, we show that if post
-Newtonian terms of the phase are taken into account then the Newtonia
n templates turn out to be a rather inadequate type of search template
s and other templates of higher post-Newtonian order should be used in
stead. This expands the number of parameters that the templates depend
on, and, therefore, it leads to a required number of templates that i
s 2 orders of magnitude larger than it was previously thought, when pr
ecessionally modulation effects are ignored and a formidable number of
templates when precessionally modulated signals are considered. From
our analysis it becomes clear that a post(15)-Newtonian family of temp
lates, with vanishing spin term, is a very promising family of search
templates for signals coming from nonprecessing binaries. Furthermore,
adding an extra oscillatory term in the phase of these post(15)-Newto
nian templates would extend their detecting ability to signals coming
from moderately precessing binaries; but, unfortunately, the number of
templates then needed leaves no hope for an on-line search. This exte
nded family of templates could be used more effectively in a hierarchi
cal off-line search.