Skip to main content
SpringerLink
Log in

A note on the averaging method

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

When time-averaged equations are used to discuss the secular behavior of dynamical systems, the action-angle variables conjugate to the action variables of the unperturbed motion of the system should be chosen as dependent variables; otherwise, the results are not correct.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Born, M.: 1960,The Mechanics of the Atom, Frederic Ungar Publishing Co., New York, p. 86.

    Google Scholar 

  • Hori, G.: 1966,Publ. Astron. Soc. Japan 18, 287.

    Google Scholar 

Download references

Author information

Author notes

  1. Hiroshi Kinoshita

    Present address: Center for Astrophysics, Harvard College Observatory and Smithsonian Astrophysical Observatory, 02138, Cambridge, Mass., USA

Authors and Affiliations

  1. Tokyo Astronomical Observatory, Mitaka, Tokyo, Japan

    Hiroshi Kinoshita

Authors
  1. Hiroshi Kinoshita
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kinoshita, H. A note on the averaging method. Celestial Mechanics 17, 131–136 (1978). https://doi.org/10.1007/BF01371325

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01371325

Keywords

Search

Navigation