Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T13:45:29.718Z Has data issue: false hasContentIssue false

On The Stability of Stationary Solutions of the Twice-Averaged Hill’s Problem Taking Into Account The Planet Oblateness

Published online by Cambridge University Press:  12 April 2016

M.A. Vashkovyak*
Affiliation:
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl., 4, Moscow, 125047RussiaE-mail:[email protected]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The problem of satellite orbital evolution with the combined influence of a distant perturbing body and the planet oblateness is well known (Laplace, 1805; Lidov, 1962, 1973; Kozai, 1963; Kudielka, 1994, 1997). The case of near-circular orbits is investigated in more details in (Sekiguchi, 1961; Allan and Cook, 1964; Vashkovyak, 1974).

Type
Extended Abstracts
Copyright
Copyright © Kluwer 1999

References

Allan, R.R., Cook, G.E.: 1964, Proc. Roy. Soc. A, 280, 97.Google Scholar
Kozai, Y.: 1963, Publ. Astron. Soc. Japan, 15, 301.Google Scholar
Kudielka, V.: 1994, Celest. Mech., 60, 455.Google Scholar
Kudielka, V.: 1997, in The Dynamical Behavior of our Planetary System, ( Dvorak and Henrard eds), Kluwer, A.P., 243.CrossRefGoogle Scholar
Laplace, P.S.: 1805, Mécanique Céleste, t. IV.Google Scholar
Lidov, M.L.: 1962, in Dynamics of satellites, Symp. Paris, ( Roy ed), Springer-Verlag, 169.Google Scholar
Lidov, M.L.: 1974, in The Stability of the Solar System and of Small Stellar Systems, (Kozai ed), 117.CrossRefGoogle Scholar
Sekiguchi, N.: 1961, Publ. Astron. Soc. Japan, 13, 207.Google Scholar
Vashkovyak, M.A.: 1974, Kosmicheskie Issledovaniya, 12, 834.Google Scholar
Vashkovyak, M.A.: 1998, Astronomy Letters, 24, 682.Google Scholar