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We optimize the Hohmann type bi-impulsive transfer between inclined elliptic orbits having a common center of attraction, for the four feasible configurations. Our criterion for optimization is the characteristic velocity ΔvT = Δv1 + Δv2 which is a measure of fuel consumption. We assigned the optimum value of our variable x (ratio between velocity after initial impulse and velocity before initial impulse) by a numerical solution of an algebraic eight degree equation. We have a single plane change angle α. We present terse new formulae constituting a new alternative approach for tackling the problem. The derivations of formulae of our treatment are simple, straightforward and exceptionally clear. This is advantageous. By this semi-analytic analysis we avoid many complexities and ambiguity that appear in previous work.
Czasopismo
Rocznik
Tom
Strony
81--104
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
autor
- Astronomy and Space Science Dept. Faculty of Sciences, Cairo University, Egypt
Bibliografia
- [1] Kamel O.M. and Soliman A.S., The Aeronautical Journal, Vol. 106, No. 1064, pp 555-558, 2002.
- [2] Lawden D. F., J. Guidance, Engineering Notes, Vol. 15, No. 3, 788-791, 1990.
- [3] Gravier J. P. et al, Journal of optimization Theory and applications, Vol. 15,587-604, 1975.
- [4] Baker J. M., J. Spacecraft, Vol. 3, 1216-1220, 1966.
- [5] Rider L., ARS J., Vol. 31, 345-351, 1961.
- [6] Prussing J. and Chiu J. H., J. Guidance, Vol. 9, 17-22,1986.
- [7] Roth H. L., El Segundo Tech. Oper. Aerospace Corp. El Segundo, Calif. SSD-TR-65-126, 1965.
- [8] Roy A. E.: Orbital Motion, Fourth Edition, IOP Publishing Ltd., Bristol and Philadelphia, 2005.
- [9] Hiller H.: R.A.E., Tech. Note Space 67, 1964.
- [10] Murray C. D. and Dermott S. F.: Solar System Dynamics, Cambridge University Press, 1999.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-LOD9-0023-0005