Abstract
The classical treatment of implied differences on the orbital ellipticelements from the errors involved at an initial epoch is not possible toapply if we consider a long interval of integration, because there is atemporal variation for all the partial derivatives of the elements withrespect to all the variations in the initial ones. We propose asemi-analytical method to compute these partial derivatives by solving a setof initial value problems which are obtained from the planetary Lagrangeequations and their partial derivatives with respect to all the variationsin the initial elements.
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Marco, F., Lopez, J. & Martinez, M. Temporal Variations of Perturbed Elliptic Elements: A Semi-Analytical Approach. Celestial Mechanics and Dynamical Astronomy 68, 193–198 (1997). https://doi.org/10.1023/A:1008286427471
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DOI: https://doi.org/10.1023/A:1008286427471