Solution of the Gaussian transfer orbit equations of motion

• Autorzy: Kamel O. M. , Ammar M. K.
• Języki publikacji: EN

Abstrakty

EN

This article deals with an orbit transfer problem by the application of only one motor thrust engine impulse at any point (r , v) on the elliptic initial orbit. The terminal orbits are elliptic. We consider the coplanar non-limited duration case. We succeeded to attain an analytical solution for the transfer Lagrange-Gauss modulated equations of motion. We selected the eccentric anomaly to be the independent parameter. We evaluated the integrals that appear in the R.H.S. of the equations of motion for da/dE, de/dE and edw/dE. Accordingly the three elements defining the final orbit are determined from (a - ao), (e - eo), e(w - wo).

Słowa kluczowe

EN

orbital mechanics; orbit transfer; Lagrange-Gauss equations of motion; rocket dynamics

PL

mechanika orbitalna; wynoszenie na orbitę; równanie ruchu Lagrange-Gauss; dynamika rakiety

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2011
• Tom: Vol. 15, nr 1
• Strony: 39--46
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kamel O. M.

autor

Ammar M. K.

• Astronomy and Space Science Dept., Faculty of Sciences, Cairo University, Giza, Egypt

Bibliografia

• [1] Marec, J .P.: Transferts orbitaux economiques (orbits elliptiques coplanaires coaxials, dur'ee illimit'ee), La Recherche A'erospatiale, no. 105, 11-21, 1965.
• [2] Marchal, C.: Transferts optimaux entre orbit e elliptiques coplanaires, Dur'ee indiffe'rente, Astronautica Acta, Vol 11, No. 6, 1965.
• [3] Roy, A. E.: Orbital Motion, Adam Hilger, 1982.
• [4] Levallois, J. J, and Kovalevsky, J.: Geodesie Generale, Tome IV, Eyrolles, 1971.
• [5] Gradshteyn,I. S. and Ryzhik, I. M.: Table of integrals, series, and Products, Academic Press, 1980.