%0 Conference Paper %1 Kalkuhl2005HPS %A Kalkuhl, M. %A Wiechert, W. %A Bücker, H. M. %A Vehreschild, A. %B Proceedings of the Eighteenth Symposium on Simulation Techniques, ASIM\~2005, Erlangen, September\~12--15 %C Erlangen %D 2005 %E Hülsemann, F. %E Kowarschik, M. %E Rüde, U. %I SCS Publishing House %K *file-import-12-02-20 mathematical, matlab, model, orbit, satellite, simulation, %N 15 %P 428--433 %T High Precision Satellite Orbit Simulation: A Test Bench for Automatic Differentiation in MATLAB %X A detailed understanding of the earth's gravitational field is crucial for a precise prediction of a satellite flight trajectory. The model of the CHAMP gravitational potential based on recent high accuracy measurements is taken as a starting point for a mechanically generated implementation of its gradient. For a more detailed mathematical model, the Jacobian of the right-hand side of the motion equation is also mechanically computed. This is achieved by automatic differentiation with the recent software tool ADiMat (Bischof et al., SCAM2002, pp.\~65--72, IEEE Comp.\\ Soc., 2002). Since an analytic form of the gradient and the Jacobian are available, the situation serves as a suitable test case for ADiMat implementing automatic differentiation in MATLAB.

@inproceedings{Kalkuhl2005HPS, abstract = {{A detailed understanding of the earth's gravitational field is crucial for a precise prediction of a satellite flight trajectory. The model of the CHAMP gravitational potential based on recent high accuracy measurements is taken as a starting point for a mechanically generated implementation of its gradient. For a more detailed mathematical model, the Jacobian of the right-hand side of the motion equation is also mechanically computed. This is achieved by automatic differentiation with the recent software tool ADiMat (Bischof et al., SCAM2002, pp.\~{}65--72, IEEE Comp.\\ Soc., 2002). Since an analytic form of the gradient and the Jacobian are available, the situation serves as a suitable test case for ADiMat implementing automatic differentiation in MATLAB.}}, added-at = {2012-03-02T03:39:18.000+0100}, address = {Erlangen}, author = {Kalkuhl, M. and Wiechert, W. and B{\"{u}}cker, H. M. and Vehreschild, A.}, biburl = {https://www.bibsonomy.org/bibtex/23cf30509047fec1ddb07637877252f56/baby9992006}, booktitle = {Proceedings of the Eighteenth Symposium on Simulation Techniques, ASIM\~{}2005, Erlangen, September\~{}12--15}, citeulike-article-id = {10369658}, editor = {H{\"{u}}lsemann, F. and Kowarschik, M. and R{\"{u}}de, U.}, interhash = {70e37daf8530cc2be6e1568dc0d7f374}, intrahash = {3cf30509047fec1ddb07637877252f56}, keywords = {*file-import-12-02-20 mathematical, matlab, model, orbit, satellite, simulation,}, number = 15, pages = {428--433}, posted-at = {2012-02-20 04:18:09}, priority = {2}, publisher = {SCS Publishing House}, series = {Frontiers in Simulation}, timestamp = {2012-03-02T03:39:21.000+0100}, title = {High Precision Satellite Orbit Simulation: {A} Test Bench for Automatic Differentiation in {MATLAB}}, year = 2005 }