An optimal control method for computation of the dynamical correction of the systematic errors in celestial reference frames

Issue title: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002

Article type: Research Article

Authors: López, J.A.^{a; *} | Marco, F.J.^b | Martínez, M.J.^b

Affiliations: [a] Departamento de Matemáticas Univ Jaume I de Castellón, Spain | [b] Departamento Matemática Aplicada Univ Politecnica de Valencia, Spain

Correspondence: [*] Corresponding author. Fax: +34 964 728 429; E-mail: [email protected].

Abstract: The recent introduction of new star catalogues referred to the new ICRF reference frame gives special interest to the study of the orientation errors of this freferences frame with respect to the dynamical reference frame defined by means of planetary theory. Several methods can be used for this purpose. One of them is based in an optimal control method where the residuals given from the differences between the calculated and observated positions for a set of minor planets on a long time-span, and we use the residual function as cost function. This method requires a previous correction of the elements of the asteroids in order to consider the most precise calculated positions. For this purpose a set of observated positions asteroids in the time span 1836–1996 are taken. From this initial correction we compare the calculated and observated positions from a differential rotation with a linear correction in time around each axis an a model of correction is got.

Keywords: optimal control, ordinary differential equations, celestial mechanics, rerference systems, minor planets, asteroids

DOI: 10.3233/JCM-2004-41-208

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 4, no. 1-2, pp. 57-64, 2004