Publication: High Precision Satellite Orbit Simulation: A Test Bench for Automatic Differentiation in MATLAB
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High Precision Satellite Orbit Simulation: A Test Bench for Automatic Differentiation in MATLAB

- Part of a collection -
 

Area
Multisensorics

Author(s)
M. Kalkuhl , W. Wiechert , H. M. Bücker , A. Vehreschild

Published in
Proceedings of the Eighteenth Symposium on Simulation Techniques, ASIM 2005, Erlangen, September 12--15

Editor(s)
F. Hülsemann, M. Kowarschik, U. Rüde

Year
2005

Publisher
SCS Publishing House

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.

AD Tools
ADiMat

Related Applications
- Satellite Orbit Simulation

BibTeX
@INPROCEEDINGS{
         Kalkuhl2005HPS,
       author = "M. Kalkuhl and W. Wiechert and H. M. B{\"u}cker and A. Vehreschild",
       title = "High Precision Satellite Orbit Simulation: {A} Test Bench for Automatic
         Differentiation in {MATLAB}",
       booktitle = "Proceedings of the Eighteenth Symposium on Simulation Techniques, ASIM~2005,
         Erlangen, September~12--15",
       editor = "F. H{\"u}lsemann and M. Kowarschik and U. R{\"u}de",
       publisher = "SCS Publishing House",
       pages = "428--433",
       address = "Erlangen",
       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.",
       year = "2005",
       number = "15",
       series = "Frontiers in Simulation",
       ad_area = "Multisensorics",
       ad_tools = "ADiMat"
}


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