LEADER 02637nam 2200373z- 450 001 9910346875003321 005 20210211 035 $a(CKB)4920000000101770 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/54926 035 $a(oapen)doab54926 035 $a(EXLCZ)994920000000101770 100 $a20202102d2003 |y 0 101 0 $ager 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNumerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde 210 $cKIT Scientific Publishing$d2003 215 $a1 online resource 225 1 $aSchriftenreihe des Studiengangs Geodäsie und Geoinformatik / Universität Karlsruhe (TH), Studiengang Geodäsie und Geoinformatik 311 08$a3-937300-00-7 330 $aThe 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. 606 $aPhysics$2bicssc 610 $aAnisotropes Gravitationsfeld 610 $aAnisotropie 610 $aErde 610 $aUmlaufbahn 615 7$aPhysics 700 $aKoenig$b DanielSeitz, Kurt$4auth$01304399 906 $aBOOK 912 $a9910346875003321 996 $aNumerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde$93027364 997 $aUNINA