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Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde

Koenig, Daniel; Seitz, Kurt


The present investigation deals with the numerical integration of satellite orbits. As the major contribution to the forces acting on an earth orbiting satellite the anisotropic part of the gravitational field of the earth is given special consideration. The equations of motion are described by a system of first order ordinary differential equations in cartesian earth-fixed coordinates. The main point of the problem is the computation of the gradient of the gravitational potential in the earth-fixed system and the subsequent transformation into the celestial system. The steps which are necessary for this purpose are described in detail. The gravitational potential is approximated by a spherical harmonic expansion of degree and order 360. On this basis a MATLAB program was developed. Several methods for the integration of the equations of motion, available in the MATLAB toolbox, are tested and compared. The comparisons are carried out for two different satellite orbit types, a near-earth orbiting satellite and a high altitude GPS satellite. The final computations are made with the multistep method (predictor-corrector) using the routine ode113 of "The MATLAB Ode Suite". ... mehr

Volltext §
DOI: 10.5445/KSP/5302003
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Cover der Publikation
Zugehörige Institution(en) am KIT Geodätisches Institut (GIK)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2003
Sprache Deutsch
Identifikator ISBN: 3-937300-00-7
ISSN: 1612-9733
KITopen-ID: 5302003
Verlag Universitätsverlag Karlsruhe
Serie Schriftenreihe des Studiengangs Geodäsie und Geoinformatik / Universität Karlsruhe (TH), Studiengang Geodäsie und Geoinformatik ; 2003,1
Schlagwörter Umlaufbahn , Anisotropie , Anisotropes Gravitationsfeld , Erde
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