The expansion of the inverse of the mutual distance between two planets raised to any real integer using Taylor theorem and elliptic expansions Part I, Theoretical results

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

Abstrakty

EN

We introduce in this part the method to obtain the literal expansion of the mutual distance between two planets of the solar system raised to any negative real integer.

Słowa kluczowe

PL

mechanika nieba; dynamika Układu Słonecznego; teoria planetarna

EN

celestial mechanics; Solar system dynamics; planetary theory

• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 4
• Strony: 1175--1195
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Elmabsout, B.

• Emeritus Professor, University of Paris 6, France

autor

Kamel, O. M.

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

autor

Soliman, A. S.

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

Bibliografia

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• [4] Brown, E.W. and Shook, C.A.: Planetary Theory, Dover Public, 1964.
• [5] Brouwer, D. and Clemence, G.M.: Methods of Celestial Mechanics, Academic Press, 1965.
• [6] Abu-El-Ata, N. and Chapront, J.: Astron. Astrophys. 38, 57, 1975.
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• [8] Kamel, O.M.: The Moon and Planets, 26, 239-277, 1982.
• [9] Murray, C.D. and Dermott, S.F.: Solar System Dynamics, Cambridge University Press, 1999.
• [10] Kamel, O.M.: Ph.D. Thesis, Faculty of Sciences, Cairo University, Egypt, 1973.
• [11] Soliman, A.S.: M.Sc. Thesis, Faculty of Sciences, Cairo University, Egypt, 1989.
• [12] Kaula, W.M.: Development of the Lunar and Solar disturbing functions for a close Satellite, Astronomical. J., 67, 300-303, 1962.
• [13] Smart, W.M.: Celestial Mechanics, Longmans, 1960.
• [14] Murray, C.D.: A note on LeVerrier`s expansion of the disturbing function, Celestial Mechanics. 36, 163-164, 1985.
• [15] Ellis, K.M. and Murray, C.D.: The disturbing function in solar system dynamics, Icarus, 147, 129-144, 2000.
• [16] Newcomb, S.: Astron. Papers Am. Ephem., 5, 1-48, 1895.
• [17] Meffroy, J.: On a generalization of the development of the disturbing function, x - 641, 67 - 442, Goddard Space Flight Center, Greenbelt, Maryland, NASA, USA, 1967.
• [18] Petrovskaya, M.S.: Celestial Mechanics, 3, 121, 1970.
• [19] Kamel, O.M. and Soliman, A.S.: On the Expansion of the Direct Part of the Disturbing Planetary Function, Mechanics and Mechanical Engineering, 20(4), 371-375, 2016.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).