Necessary Condition for Applicability of a Unified Perturbation Theory (1970)

A necessary and general condition for applicability of the two-variable (Poincare-Lighthill) perturbation method follows simply and directly from a unified formulation (1968, J. Comp. Phys. 3, 29). ... The theory is illustrated through the elimination of false secular terms arising in the series solution of canonical equations governing a simple conservative system.

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Work Title Necessary Condition for Applicability of a Unified Perturbation Theory (1970)
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Creators
  1. Peter D. Usher
License CC BY-NC-SA 4.0 (Attribution-NonCommercial-ShareAlike)
Work Type Presentation
Publisher
  1. American Astronomical Society
Publication Date March 1970
Related URLs
  1. https://ui.adsabs.harvard.edu/abs/1970BAAS....2..223U/abstract
Deposited March 29, 2025

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Version 1
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  • Created

    March 29, 2025 15:22 by pxu1

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    March 29, 2025 15:22 by [unknown user]

  • Updated Work Title Show Changes

    March 29, 2025 15:49 by pxu1

    Work Title
    • Necessary Conditions for Applicability of a Unified Perturbation Theory (1971)
    • Necessary Condition for Applicability of a Unified Perturbation Theory (1971)
  • Updated Publisher, Description, Publication Date Show Changes

    March 29, 2025 15:59 by pxu1

    Publisher
    • American Astronomical Society
    Description
    • A necessary and general condition for applicability of the two-variable (Poincare-Lighthill) perturbation method follows simply and directly from a unified formulation (1968, J. Comp. Phys. 3, 29). ... The theory is illustrated through the elimination of false secular terms arising in the series solution of canonical equations governing a simple conservative system.
    Publication Date
    • 1970-03
  • Added Creator Peter D. Usher

    March 29, 2025 15:59 by pxu1

  • Added b131999b-60b6-4cf5-ad3d-550f5c313161.pdf

    March 29, 2025 16:00 by pxu1

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  • Updated License Show Changes

    March 29, 2025 16:01 by pxu1

    License
    • https://creativecommons.org/licenses/by-nc-sa/4.0/
  • Published

    March 29, 2025 16:02 by pxu1

Version 2
published

  • Created

    March 29, 2025 16:03 by pxu1

  • Updated Related URLs Show Changes

    March 29, 2025 16:04 by pxu1

    Related URLs
    • https://ui.adsabs.harvard.edu/abs/1970BAAS....2..223U/abstract
  • Published

    March 29, 2025 16:04 by pxu1

Version 3
published

  • Created

    March 29, 2025 16:14 by pxu1

  • Updated Work Title Show Changes

    March 29, 2025 16:14 by pxu1

    Work Title
    • Necessary Condition for Applicability of a Unified Perturbation Theory (1971)
    • Necessary Condition for Applicability of a Unified Perturbation Theory (1970)
  • Published

    March 29, 2025 16:14 by pxu1

  • Updated

    March 29, 2025 22:04 by [unknown user]