A Semi - Analytic First Order Jupiter - Saturn Planetary Theory Part I : Outline

• Autorzy: Kamel O. M.
• Języki publikacji: EN

Abstrakty

EN

Herein we lay the broad lines for the construction of a first order w.r.t planetary masses Jupiter-Saturn theory - giving the orbital elements of the two planets at any epoch. This is implemented by the evaluation of the R. H. S. of the original first order Hamiltonian equations of motion. The first order Hamiltonian is composed of the first order secular terms and the first order periodic terms. We restrict the periodic terms to be the commensurate ones for the J-S (Jupiter-Saturn) subsystem. We give throughout the text an idea to the extension of the theory to the case of the four major outer planets J-S-U-N.

Słowa kluczowe

EN

dynamics of the Solar System; orbital elements; major planets

PL

dynamika Układu Słonecznego; elementy orbitalne; główne planety

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 19, nr 1
• Strony: 17--22
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kamel O. M.

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

Bibliografia

• [1] Kamel, O. M.: M.Sc. Thesis, submitted to the Faculty of Sciences, Cairo University, Egypt, 1970.
• [2] Kamel, O. M.: PH.D. Thesis, submitted to the Faculty of Sciences, Cairo University, Egypt, 1973.
• [3] Brouwer, D. and Clemence, G. M.: Methods of Celestial Mechanics, Academic Press, 1965.
• [4] Smart, W. M.: Celestial Mechanics, Longmans, 1960.
• [5] Roy, A. E.: Orbital Motion, Fourth Edition, IOP publishing Ltd., Bristol and Philadelphia, 2005.
• [6] Murray, C. D. and Dermott, S. F.: Solar System Dynamics, Cambridge University Press, 1999.
• [7] Kamel, O. M. and Bakry, A. A.: Astrophysics and Space Science, 78, 3-26, 1981.
• [8] Kamel, O. M.: The Moon and the Planets, 26, 239 - 277, 1982.