99 citations · 364 across the 14 of their papers we have counts for
16 papers
Post-Newtonian secular dynamics of hierarchical triples II. Canonical derivation of the 1PN quadrupole cross terms and of the quadrupole-squared term
Hideyoshi Arakida
We derive the secular Hamiltonian of a hierarchical triple from the 1PN ADM three-body Hamiltonian by a two-stage Lie-Hori-Deprit transformation carried out entirely in canonical v…
Post-Newtonian secular dynamics of hierarchical triples. I. Eccentricity-, inclination- and node-dependence of the multiple-scale formulation, and its canonical consistency
Hideyoshi Arakida
We will re-examine the leading post-Newtonian (1PN) cross terms of hierarchical triples obtained by Lim and Rodriguez (LR) with a two-parameter multiple-scale expansion in the hier…
The optical geometry definition of the total deflection angle of a light ray in curved spacetime
Hideyoshi Arakida
Assuming a static and spherically symmetric spacetime, we propose a novel concept of the total deflection angle of a light ray. The concept is defined by the difference between the…
General Relativistic Aberration Equation and Measurable Angle of Light Ray in Kerr--de Sitter Spacetime
Hideyoshi Arakida
As an extension of our previous paper, instead of the total deflection angle , we will mainly focus on discussing the measurable angle of the light ray at the position of th…
General Relativistic Aberration Equation and Measurable Angle of Light Ray in Kerr Spacetime
Hideyoshi Arakida
We will mainly discuss the measurable angle (local angle) of the light ray at the position of the observer instead of the total deflection angle (global angle) in Ker…
Light Deflection and Gauss-Bonnet Theorem: Definition of Total Deflection Angle and its Applications
Hideyoshi Arakida
In this paper, we re-examine the light deflection in the Schwarzschild and the Schwarzschild-de Sitter spacetime. First, supposing a static and spherically symmetric spacetime, we…