|
|
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"
}
| |
back
|
|