Abstract
At the present state the rotational axes of Uranus and Pluto are nearly perpendicular to their orbital planes and each satellite moves in the vicinity of the equatorial plane of its mother planet. We assume that in the past a planet’s equatorial plane was nearly coincident with its orbital plane and then the inclination of the equatorial plane with respect to the orbital plane began to increase secularly. Here we discuss whether a satellite that moves in its mother’s equatorial plane continues to move in the equatorial plane or not. When the direct solar perturbation is neglected, the satellite continues to stay in the equatorial plane under the condition that the secular rate of change of the obliquity is slower than the precessional speed of the satellite orbital plane with respect to the equator.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnold, V.: 1976, Les Méthodes Mathématiques de la Mécanique Classique, NAUKA, Moscou, Chap.6.
Byrd, P.F. and Friedman, M.D.: 1971, Handbook of Elliptic Integrals for Engineers and Physicists, Springer-Verlag,Berlin,.
French, R.G.,Elliot, J.L.,Levine, S.E.: 1986, Icarus 67, 134.
Goldreich, P.: 1965, Astron.J. 70, 5.
Hori, G.: 1979, in Nomura,T., ed(s)., 12 th ISAS Lunar and Planetary Symposium, Institute of Space and Astronautical Science,Tokyo, 166–170.
Kinoshita, H.: 1977, Celest.Mech. 15, 277.
Kinoshita, H.: 1991, Celest. Mech. 52, 293.
Kozai, Y. and Kinoshita,H.: 1973, Celest.Mech. 7, 356.
Landau, L.D. and Lifshitz, E.M.: 1960, Mechanics, Pergamon Press, London, p.133.
Tremaine, S.: 1991, Icarus 89, 85.
Smart, W.M.: 1953, Celestial Mechanics, Longman,London, chap.20.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Kinoshita, H. (1993). Motion of the Orbital Plane of a Satellite Due to a Secular Change of the Obliquity of its Mother Planet. In: Bois, E., Oberti, P., Henrard, J. (eds) Interactions Between Physics and Dynamics of Solar System Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1902-3_29
Download citation
DOI: https://doi.org/10.1007/978-94-011-1902-3_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4840-8
Online ISBN: 978-94-011-1902-3
eBook Packages: Springer Book Archive