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A determination of secular terms in first-order planetary theory. (English) Zbl 0662.70014

The secular terms of the first-order planetary Hamiltonian is determined, by two methods, in terms of the variables of H. Poincaré, neglecting powers higher than the second in the eccentricity-inclination.

MSC:

70F15 Celestial mechanics
70C20 Statics
70H05 Hamilton’s equations
Full Text: DOI

References:

[1] Anolik, M. V. Krassinsky, B. A., and Pius, L. J.: 1969, Trudy Inst. Theor. Astron. Leningrad 14, 3-47.
[2] Bretagnon, P.: 1974, Astron. Astrophys. 30, 141-154.
[3] Brouwer, D., Van Woerkom, A. J. J.: 1950, Astron. Papers 13, Part 2, 81-107.
[4] Kamel, O. M. and Bakry, A. A.: 1981, Astrophys. Space Sci. 87, 3. · Zbl 0478.70010 · doi:10.1007/BF00654020
[5] Kamel, O. M.: 1970, M.Sc. Thesis, Faculty of Sciences, Cairo University, Giza, Egypt, Chapter IV.
[6] Kamel, O. M.: 1988, Earth, Moon and Planets 43, 271 (this issue). · Zbl 0662.70009 · doi:10.1007/BF00117099
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