Abstract
In this chapter, the basic dynamical manifestations (the observable essence) of the Lidov-Kozai effect are considered, along with the historical background that facilitated its discovery.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
The frame referred to the center of mass of the system.
- 2.
Note that all longitudes are defined with respect to immovable coordinate axes.
- 3.
This strange terminology arises from the fact that ϖ is a sum of two angles in two planes generally intersecting with each other, see Fig. 1.2.
- 4.
Lidov himself did not attend the Symposium; his report was delivered by Albert Molchanov. The report was published in 1963 (Lidov 1963c).
References
Beletsky, V. V. (1972) Essays on the Motion of Cosmic Bodies (Nauka Publishers, Moscow) (in Russian)
Danby, J. (1962) Fundamentals of Celestial Mechanics (Macmillan, New York)
Kozai, Y. (1962) “Secular perturbations of asteroids with high inclination and eccentricity.” Astron. J., 67, 591–598
Lidov, M. L. (1961) “Evolution of artificial planetary satellites under the action of gravitational perturbations due to external bodies.” Iskusstviennye Sputniki Zemli (Artificial Satellites of the Earth), 8, 5–45 (in Russian)
Lidov, M. L. (1962) “The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies.” Planet. Space Sci., 9, 719–759 (An English translation of Lidov’s (1961) article.)
Lidov, M. L. (1963a) “Evolution of the orbits of artificial satellites of planets as affected by gravitational perturbation from external bodies.” AIAA Journal, 1, 1985–2002 (An English translation of Lidov’s (1961) article.)
Lidov, M. L. (1963b) “On the approximate analysis of the evolution of orbits of artificial satellites.” In: Problems of the Motion of Artificial Celestial Bodies. (Reports at the Conference on general and applied problems of theoretical astronomy. Moscow, November 20–25, 1961.) (Publishers of the USSR Academy of Sciences, Moscow) pp. 119–134 (in Russian) [Available at NASA ADS: 1963pmac.book..119L, including incomplete English translation.]
Lidov, M. L. (1963c) “On the approximated analysis of the orbit evolution of artificial satellites.” In: Dynamics of Satellites (IUTAM Symp.), ed. by Roy, M. (Springer, Berlin) pp. 168–179
Lidov, M. L. (2010) A Course of Lectures on Theoretical Mechanics 2nd edition (FIZMATLIT, Moscow) (in Russian)
Moiseev, N. D. (1945a) “On some basic simplified schemes of celestial mechanics obtained by means of averaging the restricted circular three-body problem. Part 1.” Publications of the Sternberg State Astronomical Institute (Moscow State Univ.), 15, issue 1, pp. 75–99 (in Russian, the issue was typeset in 1941)
Moiseev, N. D. (1945b) “On some basic simplified schemes of celestial mechanics obtained by means of averaging the restricted circular three-body problem. Part 2.” Publications of the Sternberg State Astronomical Institute (Moscow State Univ.), 15, issue 1, pp. 100–117 (in Russian, the issue was typeset in 1941)
Morbidelli, A. (2002) Modern Celestial Mechanics (Taylor and Francis, London)
Murray, C. D., & Dermott, S. F. (1999) Solar System Dynamics (Cambridge Univ. Press, Cambridge)
Prokhorenko, V. I. (2015) “On the application of qualitative methods of perturbation theory in solving practical problems of selection and correction of the orbits of the satellites of the planets given the secular and long-period components of the evolution under the influence of external gravitational perturbations.” In: Space Ballistics — from its Origin to the Future. (Institute of Space Research, Russian Academy of Sciences, Moscow) pp. 130–161 (in Russian)
Raushenbakh, B. V., & Ovchinnikov, M. Yu. (1997) Lectures on Dynamics of Spaceflight (Moscow Physics–Technical Institute, Moscow) (in Russian)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Shevchenko, I.I. (2017). Dynamical Essence and Historical Background. In: The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy. Astrophysics and Space Science Library, vol 441. Springer, Cham. https://doi.org/10.1007/978-3-319-43522-0_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-43522-0_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-43520-6
Online ISBN: 978-3-319-43522-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)