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The Global Solution in the Problem of the Critical Inclination*

Published online by Cambridge University Press:  14 August 2015

B. Garfinkel
B. Garfinkel*
Affiliation:
Department of Astronomy, Yale University, New Haven, Conn., U.S.A.

Extract

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The problem of the critical inclination in the artificial satellite theory can be regarded as a problem of resonance arising from the near-commensurability 1:1 between the anomalistic and the draconitic frequencies of the motion, n1 and n2. Let us define the main problem by the potential function (1) with (2)

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 125 - 127
Copyright
Copyright © Reidel 1974 

References

Aksnes, K.: 1967, Astrophys. Norv. 10, 69.Google Scholar
Aoki, S.: 1963, Astron. J. 68, 355.CrossRefGoogle Scholar
Bohlin, K. P.: 1889, ‘Über eine neue Annäherungmethode in der Störungtheorie’, Ak. Handl. Bihang 14 (afd. 1, Stockholm).Google Scholar
Brouwer, D.: 1959, Astron. J. 64, 378.CrossRefGoogle Scholar
Brown, E. W. and Shook, C. A.: 1933, Planetary Theory , Dover, Ch. VIII.Google Scholar
Garfinkel, B.: 1959, Astron. J. 64, 353.CrossRefGoogle Scholar
Garfinkel, B.: 1960, Astron. J. 65, 624.CrossRefGoogle Scholar
Garfinkel, B.: 1964, Astron. J. 69, 453.CrossRefGoogle Scholar
Garfinkel, B.: 1966, Astron. J. 71, 657 (Paper I).CrossRefGoogle Scholar
Garfinkel, B.: 1972a, Celest. Mech. 5, 189 (Paper III).CrossRefGoogle Scholar
Garfinkel, B.: 1972b, Celest. Mech. 5, 451 (Paper IV).CrossRefGoogle Scholar
Garfinkel, B.: 1972c, Celest. Mech. 6, 151 (Paper V).CrossRefGoogle Scholar
Garfinkel, B.: 1972d, Celest. Mech. 7, 205 (Paper VI).CrossRefGoogle Scholar
Garfinkel, B., Jupp, A. H., and Williams, C. A.: 1971, Astron. J. 76, 157 (Paper II).CrossRefGoogle Scholar
Hagihara, Y.: 1961, Smithsonian Contributions to Astrophys. 5, 39.CrossRefGoogle Scholar
Hagihara, Y.: 1972, Celestial Mechanics , MIT Press II, Part I, p. 430.Google Scholar
Hori, G.: 1960, Astron. J. 65, 291.CrossRefGoogle Scholar
Iszak, I.: 1962, Smithsonian Astrophys. Obs. , Special Report No. 90.Google Scholar
Kozai, Y.: 1961, Smithsonian Contributions to Astrophys. 5, 53.Google Scholar
Message, P. J., Hori, G., and Garfinkel, B.: 1962, Observatory , No. 929, 168.Google Scholar
Poincaré, H.: 1893, Méthodes Nouvelles de la Méchanique Céleste , Volume II, p. 352, Dover Press.Google Scholar
Tisserand, F. F.: 1889–96, Mécanique Céleste IV, p. 444.Google Scholar
Vinti, J. P.: 1963, J. Res. Nat. Bur. Sd. 67B, 191.Google Scholar
von Zeipel, H.: 1916, Arkiv. Mat. Astron. Fys. II.Google Scholar