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The Keplerian orbit of a projectile around the earth, after the thrust is suddenly removed

In: Selected Papers of Demetrios G. Magiros

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  • Dem. G. Magiros

Abstract

In the following we discuss the elements of the Keplerian orbit of a projectile around the earth, after the thrust is suddenly removed, in the cases of sudden or gradual application of the thrust, if the thrust acts continuously either for infinitesimal time to or for non-infinitesimal time τ. Formulae are given for the elements of the Keplerian orbit in terms of the elements of the Keplerian orbit either the original or that which corresponds to time to. For the calculation of the elements of the Keplerian orbit when the thrust is removed, the position vector and the velocity vector at that time must be known. These vectors are given in a suitable form in a previous paper [1], “paper I”, contained in the present volume. We treat first the case of infinitesimal time, then the case of non-infinitesimal time if the thrust in both cases is suddenly or gradually applied. The numbers ɛ throughout the paper, if multiplied by ioo, give the percentage of increment of the corresponding element.

Suggested Citation

  • Dem. G. Magiros, 1985. "The Keplerian orbit of a projectile around the earth, after the thrust is suddenly removed," Springer Books, in: S. G. Tzafestas (ed.), Selected Papers of Demetrios G. Magiros, chapter 23, pages 291-302, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-5368-0_23
    DOI: 10.1007/978-94-009-5368-0_23
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