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Optimum Impulsive Hohmann Coplanar Elliptic Transfer (Aggregation of New Useful Relationships) Part I

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present an elementary approach for the optimization problem relevant to the elliptic coplanar Hohmann type transfer arising from first principles. We assign the minimized increments sum of velocities at peri-apse and apo-apse by the application of the ordinary calculus optimum condition then resolving a simple second degree algebraic equation in the variable x which is the ratio of the velocities after and before the initial impulse. It is demonstrated that the classical elliptic Hohmann type transfer is the most economic one by this elementary representation. Moreover it is a generalized of the classical Hohmann type circular case transfer.
Rocznik
Strony
63--71
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Astronomy and Space Science Department, Faculty of Sciences, Cairo University, Giza, Egypt
Bibliografia
  • [1] Roy, A.E.: Orbital Motion, Fourth Edition, IOP Publishing Ltd, Bristol and Philadelphia, (2005).
  • [2] Prussing, J.E. and Conway, B.A.: Orbital Mechanics, Oxford University Press, (1993).
  • [3] Prussing, J.E.: Simple Proof of the Global Optimality of the Hohmann Transfer, Journal of Guidance, Control and Dynamics, PP. (1037-1038), (1992).
  • [4] Palmore, J.: An Elementary Proof of the Optimality of Hohmann Transfer, Journal of Guidance, Control and Dynamics, PP. (629-630), (1984).
  • [5] Edelbaum, T.N.: How Many Impulses?, Astronautics and Aeronautics, PP. (64-69), (1967).
  • [6] Barrar, R.B.: Ada Astronautica, Vol. IX / Fasc. 1. PP. (1 - 11), (1963).
  • [7] Marec, J.P.: Space - Vehicle Trajectories: Optimization, Reprinted from System &Control Encyclopedia, Theory , Technology, Applications, Pergamon Press, (1989).
  • [8] Lawden, D.F.: Journal of Guidance, vol. 15, No. 3 : Engineering Notes. PP. (788-791), (1990).
  • [9] Hiller, H.: RAE (Royal Aircraft Establishment), Tech. Note, No. Space 67. (1964).
  • [10] Murray, CD. and Dermott, S.F.: Solar System Dynamics, Cambridge UniversityPress, (1999).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0019-0014
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