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The near-Earth space surveillance requires accurate and fast orbit predictions for the multitude of objects that are present around our planet. This prediction is performed by means of orbit propagators which offer solutions to the satellite equations of motion. Based on the method of computation those propagators are split into three categories: analytical, numerical and semi-analytical, each with...
The Hansen coefficients are widely used in the semi-analytical methods of elliptic orbital propagation. The generation of those coefficients, in computer software, was usually performed by means of recursion formulas, but this approach has some time penalties mainly if not all values are required. We developed a linear approach, which uses polynomials, and proved that the computation time was lower...
He Hansen coefficients are one of the most important tools in the analytical or semi-analytical methods of celestial mechanics. The problem of efficient computation was investigated in detail in many papers, but this subject is still open and to date there are not standard algorithms to generate the Hansen coefficients with accuracy and good computation time. Although the analytical expressions are...
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