Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde
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 sy...
Պահպանված է:
| Հիմնական հեղինակ: | |
|---|---|
| Ձևաչափ: | Online |
| Լեզու: | գերմաներեն |
| Հրապարակվել է: |
KIT Scientific Publishing
2021
|
| Խորագրեր: | |
| Առցանց հասանելիություն: | 35289 |
| Ցուցիչներ: |
Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
|
| _version_ | 1869513989965217792 |
|---|---|
| author | Koenig, DanielSeitz, Kurt |
| author_browse | Koenig, DanielSeitz, Kurt |
| author_facet | Koenig, DanielSeitz, Kurt |
| author_sort | Koenig, DanielSeitz, Kurt |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-54926 |
| institution | Directory of Open Access Books |
| language | ger |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-549262024-04-04T19:18:48Z Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde Koenig, DanielSeitz, Kurt QC1-999 Umlaufbahn Anisotropes Gravitationsfeld Anisotropie Erde thema EDItEUR::P Mathematics and Science::PH Physics 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. 2021-02-11T21:20:27Z 2021-02-11T21:20:27Z 2019-07-30 20:02:01 2003 book 35289 16129733 3937300007 https://directory.doabooks.org/handle/20.500.12854/54926 ger Schriftenreihe des Studiengangs Geodäsie und Geoinformatik / Universität Karlsruhe (TH), Studiengang Geodäsie und Geoinformatik image/jpeg https://www.ksp.kit.edu/3937300007 KIT Scientific Publishing 10.5445/KSP/5302003 10.5445/KSP/5302003 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 3937300007 open access |
| spellingShingle | QC1-999 Umlaufbahn Anisotropes Gravitationsfeld Anisotropie Erde thema EDItEUR::P Mathematics and Science::PH Physics Koenig, DanielSeitz, Kurt Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title | Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title_full | Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title_fullStr | Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title_full_unstemmed | Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title_short | Numerische Integration von Satellitenbahnen unter Berücksichtigung der Anisotropie des Gravitationsfeldes der Erde |
| title_sort | numerische integration von satellitenbahnen unter berucksichtigung der anisotropie des gravitationsfeldes der erde |
| topic | QC1-999 Umlaufbahn Anisotropes Gravitationsfeld Anisotropie Erde thema EDItEUR::P Mathematics and Science::PH Physics |
| topic_facet | QC1-999 Umlaufbahn Anisotropes Gravitationsfeld Anisotropie Erde thema EDItEUR::P Mathematics and Science::PH Physics |
| url | 35289 |
| work_keys_str_mv | AT koenigdanielseitzkurt numerischeintegrationvonsatellitenbahnenunterberucksichtigungderanisotropiedesgravitationsfeldesdererde |