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Experience of numerical integration and approximation with applying Chebyshev polynomials for constructing ephemerides of the solar system natural and artificial bodies

Published online by Cambridge University Press:  25 May 2016

A.A. Trubitsina
A.A. Trubitsina*
Affiliation:
Institute of Theoretical Astronomy, RAS Nab. Kutuzova 10, St. Petersburg, 191187 Russia e-mail 1108@ita.spb.su

Abstract

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Successful experience of applying the Chebyshev polynomials as a power “mathematical tool” for numerical integration and approximation techniques in celestial mechanics is presented. Detailed analysis of approximation function behavior inside an integration step allows to elaborate a special technique for high accuracy and rapid integration of piece-wise continuous functions, modeling the Earth's shadow effect for artificial satellite orbits. Original software is elaborated for creating the ephemeris file simultaneously with the process of numerical integration. This technique is applied for the construction of ephemerides of natural and artificial celestial bodies as well as for the compact polynomial representation of different geodynamic parameters.

Type
Part IX - Ephemerides Representation
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 347 - 352
Copyright
Copyright © Kluwer 1996 

References

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