Mathematics – Functional Analysis
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1283..303m&link_type=abstract
MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP Conference Proceedings, Volum
Mathematics
Functional Analysis
Astronomical Atlases, Integral Equations, Functional Analysis, Least Squares Approximations, Astronomical Catalogs, Atlases, Sky Surveys, Databases, Retrieval Systems, Archives, Etc., Integral Equations, Functional Analysis, Interpolation, Curve Fitting
Scientific paper
The Hipparcos catalogue [1] provides a reference frame at optical wavelengths for the new ICRS. The adoption of this new reference system was decided following a resolution that was agreed at the 23rd IAU assembly held in Kyoto in 1997. Differences in the Hipparcos system of proper motions and the previous materialization of the reference frame, the FK5, are expected to be caused only by the combined effects of the motion of the equinox of the FK5 and the Luni-solar and planetary precession. Several authors have, however, pointed out an inconsistency in the differences in proper motion of the FK5-Hipparcos with the Δp of the Luni-solar precession as determined from VLBI and LLR, and most of them have claimed that these discrepancies are due to slightly biased proper motions in the FK5 catalogue [3], [5].
The different mathematical models employed to explain these errors have not completely accounted for the previous discrepancies in the precessional parameters. Our goal is to offer an explanation for this fact. To this end and according to [2] we propose the use of independent parametric and non-parametric methods. Thus, the introduction of a non-parametric method, combined with the inner product in L2 over S2, would give us values which do not depend on the possible interdependencies existing in the data-set. In addition, the evidence shows that zonal studies are needed. This would lead us to introduce a local non-parametric model [4]. All these models will provide independent precessional values which could be compared in order to study their reliability. Finally, we obtain values for the precession corrections that are very consistent with those that are currently adopted.
Lopez Jose Alberto
Marco Jose F.
Martinez Jean-Michel
No associations
LandOfFree
A Statistical Approach to Determine the Values of the Correction for the Precession does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Statistical Approach to Determine the Values of the Correction for the Precession, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Statistical Approach to Determine the Values of the Correction for the Precession will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1403550