On using Chebyshev polynomials for fitting SLR data of artificial satellites

Chebyshev polynomials are used to fit the satellite laser ranging (SLR) data. The spline technique is given to obtain a continuous approximation function of matching these Chebyshev polynomials developed for fitting data over progressively classified separate intervals. An algorithm for the used tec...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 158; no. 3; pp. 655 - 666
Main Authors Hanna, Yousry S., Ibrahim, Makram, Samwel, S.W.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 15.11.2004
Elsevier
Subjects
Approximations and expansions
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Real functions
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Numerical approximation
Polynomial function
Numerical analysis
Fitting
Applied mathematics
Chebyshev polynomial
Chebyshev approximation
Continuous function
Algorithm
Spline approximation
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Summary:Chebyshev polynomials are used to fit the satellite laser ranging (SLR) data. The spline technique is given to obtain a continuous approximation function of matching these Chebyshev polynomials developed for fitting data over progressively classified separate intervals. An algorithm for the used technique as well as its application on the laser ranging data taken for the satellite Topex are given. The results followed by the discussion of the used technique are also presented.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2003.10.017