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Variation of the orbital elements for parabolic trajectories due to a small impulse using Gauss equations
Authors:Osman M Kamel  MK Ammar
Institution:

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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