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Next: Critical
Frequencies and Gravitational Previous: Extragalactic
Gravitational Wave Background
The number of binaries per frequency decade per solid angle from a separate stellar system (galaxy or cluster of galaxies) is
where 
is the angular size of the object, 
is the total number of stars entering this object, which is assumed to
be homogeneous in surface density. For example, for the Andromeda galaxy
M31 ( 
rad, 
) one gets
therefrom 
(see equation (15.5.1)). The detector's
beam halfwidth as a function of frequency is shown in Figure 41.
If the angular size of the galaxy is less than the angular resolution of
the detector, the critical frequency is independent of the angular resolution,
