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The Impulsive Force Required to Effectuate a New Orbit Through a Given Point in Space

In: Selected Papers of Demetrios G. Magiros

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  • Demetrios G. Magiros

    (General Electric Company, Valley Forge Space Technology Center)

Abstract

A method for treatment of a special two-body problem is discussed in this paper. The problem is: “To calculate the impulse or impulsive force required to effectuate a new Keplerian orbit around a center through a given point T in space.” The solution of this problem, according to the present method, is based on the solution of an auxiliary problem, treated here geometrically, on the “projection property” of the admissible impulse, and trigonometric calculations, which make the admissible impulse an appropriate one. Three groups of problems are discussed: one when the point T is on the plane of the original orbit, and two when T is out of this plane. In the case when the $$ \left( {{{{\rm{\dot r}}}_0},{\rm{I}}} \right) $$ -plane is not perpendicular to the line CM, use is made of projections on a plane perpendicular to CM. The calculation of the impulsive force in terms of the impulse is also given. Illustrated problems for each group complete the paper.

Suggested Citation

  • Demetrios G. Magiros, 1985. "The Impulsive Force Required to Effectuate a New Orbit Through a Given Point in Space," Springer Books, in: S. G. Tzafestas (ed.), Selected Papers of Demetrios G. Magiros, chapter 25, pages 307-321, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-5368-0_25
    DOI: 10.1007/978-94-009-5368-0_25
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