  The recent direct detection of gravitational waves reported by Advanced LIGO
has inspired the current article. In this context, a particular
Lorentz-violating framework for classical, massive particles is the focus. The
latter is characterized by a preferred direction in spacetime comprised of
CPT-odd components with mass dimension 1. Curvature effects in spacetime, which
are caused by a propagating gravitational wave, are assumed to deform the
otherwise constant background field. In accordance with spontaneous Lorentz
violation, a particular choice for the vector field is taken, which was
proposed elsewhere. The geodesic equations for a particle that is subject to
this type of Lorentz violation are obtained. Subsequently, their numerical
solutions are computed and discussed. The particular model considered leads to
changes in the particle trajectory whose impact on interferometric
gravitational-wave experiments such as LIGO will be studied.
