12 research outputs found

    Perturbed kepler problem in general relativity with quaternions

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    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

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    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

    Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

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    Relativistic Mechanics of Constant Curvature

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