Abstract
This chapter is devoted to the study of the construction of theories of motion for minor planets (Sections 11.1–11.4) and the Moon (Section 11.5) in the framework of the GPT. This framework is designed for small eccentricities and inclinations. For minor planets with large values of eccentricities and inclinations it is reasonable to use the expansion of the disturbing function of type (6.2.13), which involves Jacobi nomes and actual values of inclinations. Currently, significant progress in analytical studies of minor-planet motion has been achieved by Milani and Knežević (1990, 1992), in particular, in the theory of secular resonances caused by the commensurabilities between the secular motions of perihelia and nodes of major planets and asteroids. Therefore, consideration of the motion of asteroids by the same technique as used in the major-planet theory may bring new insight to this problem.
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© 1995 Springer-Verlag Berlin Heidelberg
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Brumberg, V.A. (1995). GPT Techniques in Minor-Planet and Lunar Problems. In: Analytical Techniques of Celestial Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79454-4_12
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DOI: https://doi.org/10.1007/978-3-642-79454-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79456-8
Online ISBN: 978-3-642-79454-4
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