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Optimum impulsive Hohmann coplanar elliptic transfer using energy change concept. Part II

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present an elementary approach for the optimization of the elliptic coplanar coaxial Hohmann type transfer arising from the first principles. We assign the minimized increments of velocities at peri-apse and apo-apse by equating to zero the gradient of Δv1 + Δv2, then resolving a second degree algebraic equation in the variable x (the ratio of the velocities before and after the initial impulse). We consider the four feasible configurations, and we assign the most economic one. By setting e1 = 0, e2 = 0 for the terminal orbits, we confront the original circular Hohmann transfer case promptly.
Rocznik
Strony
105--117
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Astronomy and Space Science Dept. Faculty of Sciences, Cairo University, Egypt
Bibliografia
  • [1] Roy, A.E.: Orbital Motion, IOP Publishing Ltd., 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. 29-630, 1984.
  • [5] Edelbaum, T.N.: How Many Impulses?, Astronautics and Aeronautics, PP. 64-69, 1967.
  • [6] Barrar, R.B.: Acta 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] Altman, S.P. and Pistiner, J.S.: AIAA Journal, vol. 1, No. 2, PP. 435-442, 1963.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0023-0006
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