12 research outputs found
Perturbed kepler problem in general relativity with quaternions
The motion of binary star systems is re-examined in the presence of perturbations from the theory of general relativity. To handle the singularity of the Kepler problem, the equation of motion is regularized and linearized with quaternions. In this way first-order perturbation results are derived using the quaternion-based approach. </jats:p
Secular momentum transport by gravitational waves from spinning compact binaries
We present a closed system of coupled first order differential
equations governing the secular linear momentum loss of a
compact binary due to emitted gravitational waves, with the
leading order relativistic and spin-orbit perturbations
included. In order to close the system, the secular evolution
equations of the linear momentum derived from the dissipative
dynamics are supplemented with the secular evolutions of the
coupled angular variables, as derived from the conservative
dynamics © 2010 IOP Publishing Ltd