ListarDepartament: Matemàtiques por tema "Perturbation theory"
Mostrando ítems 1-5 de 5
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A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients
American Institute of Mathematical Sciences (AIMS) (2014-03)A perturbative procedure based on the Lie-Deprit algorithm of classical mechanics is proposed to compute analytic approximations to the fundamental matrix of linear di erential equations with periodic coe cients. These ... -
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 ... -
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 ... -
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 ... -
Two algorithms to construct a consistent first order theory of equilibrium figures of close binary systems
Elsevier (2016-12)One of the main problems in celestial mechanics is the study of the shape adopted by extended deformable celestial bodies in its equilibrium configuration. In this paper, a new point of view about classical theories on ...