Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-12T10:35:48.626Z Has data issue: false hasContentIssue false
  • English
  • Français

Concerning New Perturbation Methods in Solar System Dynamics

Published online by Cambridge University Press:  12 April 2016

E.A. Grebenikov
E.A. Grebenikov*
Affiliation:
Institute of High-Performance Computing Systems Moscow, Russia

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.

In this paper a new method of construction of the perturbation motion theory of celestial bodies, based on the averaging principle in view of frequency resonances, is stated. The first approximation of the asymptotic theory is the exact solution of the dynamics averaging equations, in which are included “secular” and “long-periodic” terms. The high-degree approximations are the exact solution of a known Krylov-Bogoliubov generalized equation. It is shown that these iterations are expressed in the analytical form by multiple Fourier series.

Type
Theory of Motion
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 399 - 404
Copyright
Copyright © Kluwer 1997

References

Grebenikov, E.A.: 1986, Metod Usrednieniya υ Prikladnych Zadachakh, Nauka, Moskva (in Russian).Google Scholar
Grebenikov, E.A. and Mitropolskij, Ju.A.: 1992, Metod Usrednieniya w Issledovaniyakh Resonansnykh Sistem, Nauka, Moskva (in Russian).Google Scholar
Grebenikov, E.A. and Ryabov, Ju.A.: 1983, Constructive Methods in the Analysis of Nonlinear Systems, MIR, Moscow.Google Scholar
Stepanov, V.V.: 1968, Kurs Differenciyalnkh Uravnienij, Nauka, Moskva (in Russian).Google Scholar