Satellite Orbit Simulation
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. 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.