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Variation of the orbital elements for parabolic trajectories due to a small impulse using Gauss equations |
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| Authors: | Osman M. Kamel M.K. Ammar |
| Affiliation: | aDepartment of Astronomy and Space Science, Faculty of Science, Cairo University, Giza, Egypt bDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt |
| Abstract: | Firstly we derive Gauss’ perturbation equation for parabolic motion using Murray–Dermott and Kovalevsky procedures. Secondly, we easily deduce the variations of the orbital elements for the parabolic trajectories due to a small impulse at any point along the path and at the vertex of the parabola. |
| Keywords: | Gauss’ perturbation equations Parabolic motion Rocket Dynamics Impulsive motion Perturbations |
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