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Integrable Systems in Celestial Mechanics (2008)

Integrable Systems in Celestial Mechanics

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"Integrable Systems in Celestial Mechanics" by Diarmuid Ó'Mathúna is a mathematics book and learning resource focused on Celestial Motion. Best for teachers, students, and readers looking for stronger mathematical understanding.

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form

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Best For: Researchers and students in celestial mechanics and applied mathematics
Focus: Exact solutions and general representations of orbital problems in celestial mechanics
Covers: Kepler two-body problem, Euler two-fixed center problem, Vinti earth-satellite problem, and planar Euler problem analysis
Why It Matters: Provides a unified approach to classical orbital problems with original insights not previously compiled in book form

"Integrable Systems in Celestial Mechanics" by Diarmuid Ó'Mathúna is a mathematics book and learning resource focused on Celestial Motion. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Celestial Motion

Author: Diarmuid Ó'Mathúna

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form

AuthorDiarmuid Ó'Mathúna
PublisherBirkhäuser
Published2008-08-12
ISBN-139780817640965
BindingHardcover
Pages234
LanguageEnglish
SubjectsScience
TopicCelestial Motion
SeriesProgress in Mathematical Physics

Format: Hardcover

Length: 234 pages

Language: English

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