On the use of wavelet analysis for the fitting of a dynamical theory to observations

¹ IMCCE, Observatoire de Paris, 77 Av. Denfert-Rochereau, 75014 Paris, France
² Observatoire de Meudon DASOP-LPSH, 92125 Meudon Cedex, France

Corresponding author: A. Fienga, fienga@bdl.fr

Received: 20 December 1999
Accepted: 6 June 2000

Abstract

We present methods to fit planetary ephemerides to observational data. More precisely, we will consider an application of wavelet analysis to dynamical residuals of Jupiter. The efficiency of this new technique is assessed by tests with extrapolations using observational samples not used in the fit. The results are very encouraging. Since the work of Gaillot in 1913 (Gaillot 1913), the analytical solutions of the Bureau des longitudes have not been fit to actual observations. The VSOPxx (Bretagnon [CITE]; Bretagnon & Francou [CITE]) analytical theories of the motion of the 8 planets of the solar system are presently the modern solutions of the IMC-Bureau des longitudes; however, until this work, VSOPxx were fit only to the JPL numerical integrations, Dexxx (Standish 1995, 1998). This paper deals with some elements of the first adjustment of the modern VSOP analytical theories of motion of the planets to optical and radar observations.