A First Order Jupiter Saturn Planetary Theory. Numerical Results

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

Abstrakty

EN

We present the numerical analysis solution of the eight ordinary non linear differential equations of a first order secular J – S planetary theory. There is no general solution for these equations. We deal with the Poincare’ variables Hu, Ku, Pu, Qu; u=1,2 only. The solution is approximative, since we confine our treatment to a first order secular theory and truncate the Poisson series expansions at the fourth power in eccentricity – inclination.

Słowa kluczowe

EN

celestial mechanics; Solar system dynamics; planetary theory

PL

mechanika nieba; dynamika Układu Słonecznego; teoria planetarna

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 20, nr 1
• Strony: 59--73
• Opis fizyczny: Bibliogr. 14 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

autor

El Mabsout B.

• Paris 6 Univ. France

Bibliografia

• [1] Murray, C. D. and Dermott, S. F.: Solar System Dynamics, Cambridge University Press, 1999.
• [2] Brouwer, D. and Clemence, G. M.: Methods of Celestial Mechanics, Academic Press, 1965.
• [3] Kamel, O. S. M.: M.Sc. Thesis, Cairo University, Faculty of Sciences, Egypt, 1970.
• [4] Kamel, O. S. M.: PH.D. Thesis, Cairo University, Faculty of Sciences, Egypt. 1973.
• [5] Simon, J. L. and Joutel, F.: Astronomy. Astrophysics, 205, 328, 1988.
• [6] Kamel, O. M. and Soliman, A. S. : Earth, Moon and Planets, 60: 141 – 175. 1993.
• [7] Kamel, O. M.: The Moon and the Planets, 26, 239 – 277. 1982.
• [8] Roy, A. E.: Orbital Motion, Adam Hilger, 1988.
• [9] Roy, A. E. et al : Project LONGSTOP, Vistas in Astronomy, 32, 95 – 116, 1988.
• [10] Duriez, L.: Astronomy. Astrophysics, 54, 93 – 112. 1977.
• [11] Bretagnon, P. : Astronomy. Astrophysics, 30, 141 – 154, 1974.
• [12] Jordan, D. W. and Smith, P.: Non Linear Ordinary Differential Equations, Oxford University Press, 2007.
• [13] Jordan, D. W. and Smith, P.: Non Linear Ordinary Differential Equations, Problems and Solutions, Oxford University Press, 2007.
• [14] Vallado, D. A.: Fundamentals of Astrodynamics and Applications, Microcosm Press, 2007.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.