T. Fukushima

Publications287
h-index28
Citations3,384
Highly Influential Citations229
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Celestial Mechanics and Dynamical Astronomy
1. Dynamics of Extrasolar Planets (C. Beaugé) The orbital fits of multi-planetary systems from radial velocity data has proved to be a complex task. In some cases, different orbital solutions provide…
Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2009
Every three years the IAU Working Group on Cartographic Coordinates and Rotational Elements revises tables giving the directions of the poles of rotation and the prime meridians of the planets,…
The IAU 2009 system of astronomical constants: the report of the IAU working group on numerical standards for Fundamental Astronomy
In the 2006–2009 triennium, the International Astronomical Union (IAU) Working Group on Numerical Standards for Fundamental Astronomy determined a list of Current Best Estimates (CBEs). The IAU 2009…
THE IAU 2000 RESOLUTIONS FOR ASTROMETRY CELESTIAL MECHANICS AND METROLOGY IN THE RELATIVISTIC FRAMEWORK: EXPLANATORY SUPPLEMENT
We discuss the IAU resolutions B1.3, B1.4, B1.5, and B1.9 that were adopted during the 24th General Assembly in Manchester, 2000, and provides details on and explanations for these resolutions. It is…
Fast transform from geocentric to geodetic coordinates
Abstract. A new iterative procedure to transform geocentric rectangular coordinates to geodetic coordinates is derived. The procedure solves a modification of Borkowski's quartic equation by the…
A New Precession Formula
We adapt J. G. Williams' expression of the precession and nutation using the 3-1-3-1 rotation to an arbitrary inertial frame of reference. The modified formulation avoids a singularity caused by…
Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method
By using Halley’s third-order formula to find the root of a non-linear equation, we develop a new iterative procedure to solve an irrational form of the “latitude equation”, the equation to determine…
Report of the International Astronomical Union Division I Working Group on Precession and the Ecliptic
The IAU Working Group on Precession and the Equinox looked at several solutions for replacing the precession part of the IAU 2000A precession–nutation model, which is not consistent with dynamical…
A numerical time ephemeris of the Earth
We present a time ephemeris of the Earth, TE405, which approximates a relativistic time-dilation integral from 1600 to 2200 using numerical quadrature of quantities supplied by the recent JPL…
Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers
TLDR
By extending the exponent of floating point numbers with an additional integer as the power index of a large radix, this formulation achieves the evaluation of ALFs in the double-precision environment at the cost of around 10% increase in computational time per single ALF.
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