Abstract
The uniform valid state transition matrix of the pure Keplerian motion is established by means of the KS-transformation. Perturbed interplanetary transfer- and flyby-problems are treated by integrating the perturbed trajectory numerically and by performing the differential correction technique using the analytical transition matrix of the unperturbed motion. Numerical examples show the efficiency of this procedure and the improvement of the computing time and accuracy in comparison with the shooting method.
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Kriz, J. Variational formulae for solving perturbed boundary-value problems in astrodynamics. Celestial Mechanics 18, 371–382 (1978). https://doi.org/10.1007/BF01230349
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DOI: https://doi.org/10.1007/BF01230349