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gr-qc2009★ 201 cited
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…
gr-qc2009★ 95 cited
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…
gr-qc2009★ 63 cited
New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II. Solutions of the Continued Fraction Equation
Ryuichi Fujita, Hideyuki Tagoshi
We investigate the solution of the continued fraction equation by which we determine "the renormalized angular momentum parameter", , in the formalism developed by Leaver and Ma…