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A note on the first-order theories of equilibrium figures of celestial bodies
(Taylor & Francis, 2011)
One of the main problems in celestial mechanics is the determination of the shape of the equilibrium configuration of celestial bodies. In this paper, a model of a fluid mass rotating in space like a rigid body will be ...
An improved algorithm to develop semi-analytical planetary theories using Sundman generalized variables
(Elsevier, 2015-02)
One of the main problems in celestial mechanics is the construction of analytical theories of planetary motion. The most common solution of this problem is arranged by means of Poisson series developments. These developments ...
Semi-analytical integration algorithms based on the use of several kinds of anomalies as temporal variable
(Elsevier, 2008)
One of the main problems in celestial mechanics is the management of long developments in Fourier or Poisson series used to describe the perturbed motion in the planetary system. In this work we shall develop a software ...
Homogenization in compiling ICRF combined catalogs
(EDP Sciences, 2013)
Context. The International Astronomical Union (IAU) recommendations regarding the International Celestial Reference Frame (ICRF) realizations require the construction of radio sources catalogs obtained using very-long-baseline ...
A new bi-parametric family of temporal transformations to improve the integration algorithms in the study of the orbital motion
(Elsevier, 2016-02-06)
One of the fundamental problems in celestial mechanics is the study of the orbital motion of the bodies in the solar system. This study can be performed through analytical and numerical methods. Analytical methods are based ...
Computational tools to construct semi-analytical planetary theories
(Taylor & Francis, 2008)
The main aim of this paper is the construction of a set of computational tools in order to improve the management of large expansions used in celestial mechanics. This package involves an iterative algorithm to develop the ...