Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde - Daniel König, Kurt Seitz

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

Online Resource
126 Seiten
2003
KIT Scientific Publishing (Hersteller)
978-3-937300-00-9 (ISBN)
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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". The resulting orbital disturbances are represented as disturbances in the time-dependent corresponding Keplerian orbit elements.
Erscheint lt. Verlag 30.10.2003
Reihe/Serie Schriftenreihe des Studiengangs Geodäsie und Geoinformatik
Sprache deutsch
Themenwelt Naturwissenschaften Geowissenschaften Geografie / Kartografie
Schlagworte Anisotropes Gravitationsfeld • Anisotropie • HC/Geowissenschaften/Geografie • NONBOOK/Geowissenschaften/Geografie • Online-Publikationen • Umlaufbahn
ISBN-10 3-937300-00-7 / 3937300007
ISBN-13 978-3-937300-00-9 / 9783937300009
Zustand Neuware
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