A Semi-Analytic First Order Jupiter-Saturn Planetary Theory. Part II

• Autorzy: Kamel, O. M. , Soliman, A. S.
• Języki publikacji: EN

Abstrakty

EN

In this part we present the algebraic calculus computations related to the Hamiltonian equations of motion for the Jupiter – Saturn subsystem. Also we give a comment on the methods of the solution for the system of linear and nonlinear differential equations describing the motion of this subsystem.

Słowa kluczowe

PL

dynamika Układu Słonecznego; Jowisz-Saturn teoria planetarna

EN

dynamics of the Solar system; Jupiter – Saturn planetary theory

• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 20, nr 3
• Strony: 233--247
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kamel, O. M.

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

autor

Soliman, A. S.

• Theoretical Physics Dept. National Research Center Dokki, Giza, Egypt

Bibliografia

• [1] Kamel, O. S. M.: M.Sc. Thesis submitted to the Faculty of Sciences, Cairo University, Egypt, 1970.
• [2] Kamel, O. S. M.: Ph.D. Thesis submitted to the Faculty of Sciences, Cairo University, Egypt, 1973.
• [3] Kamel, O. S. M. and Bakry, A.A.: Astrophysics and Space Science 78, 3–26 1981.
• [4] Kamel, O. S. M.: The Moon and the Planets , 26, 239–277, 1982.
• [5] Brouwer, D. and Clemence, G. M.: Methods of Celestial Mechanics, Academic Press, 1965.
• [6] Murray, C. D. and Dermott, S. F.: Solar System Dynamics, Cambridge University Press, 1999.
• [7] Moursund, D. G. and Duris, C. S.: Elementary Theory & Application of Numerical Analysis, McGraw – Hill, Inc., 1967.
• [8] Braun, M.: Differential Equations and Their Applications, Springer – Verlag, New York, Inc., 1983.
• [9] Stark, P. A.: Introduction to numerical methods, MacMillan Company, London, 1970.
• [10] Kamel, O. K.: A semi – analytic first order Jupiter – Saturn planetary theory. (Part I: outline), Mechanics and Mechanical Engineering, 20(1), 2016.
• [11] El Mabsout, B.: Private communication, 2012.