This fourth release of the RIT public catalog numerical relativity black-hole-binary waveforms consists 1881 accurate simulations that include 446 precessing and 611 nonprecessing quasicircular/inspiraling binary systems with mass ratios $q={m}_{1}/{m}_{2}$ in range $1/128\ensuremath{\le}q\ensuremath{\le}1$ individual spins up to $s/{m}^{2}=0.95$; 824 eccentric orbits $0<e\ensuremath{\le}1$....

In this paper, we continue our study of the motion spinning test bodies orbiting Kerr black holes. Nonspinning follow geodesics spacetime in which they move. A body's spin couples to curvature that spacetime, introducing a ``spin-curvature force'' pushes worldline away from geodesic trajectory. The spin-curvature force is an important example postgeodesic effect must be modeled carefully order ...

An analytical solution to the relative motion of satellites in eccentric orbits, under the effects of the nonlinearity of the gravitational field and the 2 J -perturbation, is presented. The most notable feature of the solution is the use of the unit sphere for the description of the motion. Solutions to the relative motion coordinates and velocities are obtained by using a geometric approach, ...

For a scenario of close flyby compact star near spinning black hole, we provide analytical and numerical estimates for the shift trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, derived generalized expression (not limited quasi-circular or elliptical orbits) directly linking spin hole. The permits estimation hole based on astronomical tracking locati...

Intermediate/Extreme mass ratio inspiral (I/EMRI) system provides a good tool to test the nature of gravity in strong field. Based on method osculating orbits, we compute orbital evolutions I/EMRIs quasi-elliptic orbits both Einstein's general relativity and Brans-Dicke theory. The extra monopolar dipolar channels theory accelerate decay, so it is important consider effects emissions waveform. ...

The stability of Trojan type orbits around Neptune is studied. As the first part of our investigation, we present in this paper a global view of the stability of Trojans on inclined orbits. Using the frequency analysis method based on the FFT technique, we construct high resolution dynamical maps on the plane of initial semimajor axis a0 versus inclination i0. These maps show three most stable ...

We consider trends resulting from two formation mechanisms for short-period super-Earths: planetplanet scattering and migration. We model scenarios where these planets originate near the snow line in “cold finger” circumstellar disks. Low-mass planet-planet scattering excites planets to low periastron orbits only for lower mass stars. With long circularisation times, these planets reside on lon...

We explore the properties of test-particle orbits in bumpy spacetimes—stationary, reflectionsymmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous) higher-order multipole-moment structure but can be tuned arbitrarily close to the Kerr metric. Future detectors should observe gravitational waves generated during inspirals of compact objects into supermassiv...

We show that Jovian planets will frequently experience orbital disruption due to interactions with binary stars in their birth clusters. We attack the problem using a Monte Carlo approach and estimate the effective cross section for severe orbital disruption: . Combining the numerically determined cross section with 2 AjS 5 (230 AU) typical cluster densities and velocity dispersions v, we find ...