201 citations · 624 across the 11 of their papers we have counts for
11 papers
Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
Ryuichi Fujita, Wataru Hikida
We derive the analytical solutions of the bound timelike geodesic orbits in Kerr spacetime. The analytical solutions are expressed in terms of the elliptic integrals using Mino tim…
An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
Ryuichi Fujita, Wataru Hikida, Hideyuki Tagoshi
We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole pert…
Analytic approximations, perturbation methods, and their applications
P. Jaranowski, K. G. Arun, L. Barack +33
The paper summarizes the parallel session B3 {\em Analytic approximations, perturbation methods, and their applications} of the GR18 conference. The talks in the session reported n…
Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime
Katsuhiko Ganz, Wataru Hikida, Hiroyuki Nakano +2
General orbits of a particle of small mass around a Kerr black hole of mass are characterized by three parameters: the energy, the angular momentum and the Carter constant.…
The adiabatic evolution of orbital parameters in the Kerr spacetime
Norichika Sago, Takahiro Tanaka, Wataru Hikida +2
We investigate the adiabatic orbital evolution of a point particle in the Kerr spacetime due to the emission of gravitational waves. In the case that the timescale of the orbital e…
Adiabatic radiation reaction to the orbits in Kerr Spacetime
Norichika Sago, Takahiro Tanaka, Wataru Hikida +1
Geodesic motion of a point particle in Kerr geometry has three constants of motion, energy , azimuthal angular momentum , and Carter constant . Under the adiabatic approxi…