** Next:** Spin Effects
** Up:** GRASP Routines: Gravitational Radiation
** Previous:** Practical Suggestion for Setting
** Contents**

##

Additional contributions to the phase and frequency of the chirp

0
In recent years additional relativistic corrections to the
binary inspiral chirp formula have been calculated.
These have now been
included in GRASP, and are available to users generating template banks.
The changes have been implemented in existing GRASP routines, and
using them requires minimal modification of your code.
Furthermore, *if you have written GRASP code that uses
only second post Newtonian chirps - and you want to
keep it that way - you don't need to do anything: all the
modifications are compatible with previous GRASP releases.*

When the original code for the GRASP chirp generator was
written, only the second post-Newtonian relativistic
corrections to the phase and frequency evolution were
available. These are depicted in Eqs. ()
and (), and implemented in the `phase_frequency()` routine. The routine used for
generating template banks, `make_filters()`, uses these
formulae by calling `phase_frequency()`. In the next
two subsubsections we discuss extensions of these formulae
and routines to include the contributions to the phase and
frequency produced by the spins of the objects (spin-orbit
coupling, and spin-spin coupling) and also the contribution
from the 2.5 post-Newtonian order corrections.
In future GRASP releases we hope to include contributions
to the phase and frequency produced by the quadrupole moment
of the bodies and higher-order post-Newtonian effects.

**Subsections**

** Next:** Spin Effects
** Up:** GRASP Routines: Gravitational Radiation
** Previous:** Practical Suggestion for Setting
** Contents**
Bruce Allen
2000-11-19