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Classical Newtonian Gravity

A Comprehensive Introduction, with Examples and Exercises

  • Roberto A. ¬†Capuzzo Dolcetta
Textbook

Part of the UNITEXT for Physics book series (UNITEXTPH)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Roberto A. Capuzzo Dolcetta
    Pages 1-47
  3. Roberto A. Capuzzo Dolcetta
    Pages 49-70
  4. Roberto A. Capuzzo Dolcetta
    Pages 71-107
  5. Roberto A. Capuzzo Dolcetta
    Pages 109-163
  6. Roberto A. Capuzzo Dolcetta
    Pages 165-170
  7. Back Matter
    Pages 171-176

About this book

Introduction

This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. 

The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field.


Keywords

Theoretical astrophysics textbook Newtonian gravitational force Newton's theorems Vector calculus Potential theory Harmonic theory Central force fields Potential series developments Harmonic and homogeneous polynomials Spherical harmonics Satellite motion Newtonian motion of point masses

Authors and affiliations

  • Roberto A. ¬†Capuzzo Dolcetta
    • 1
  1. 1.Department of PhysicsSapienza University of RomeRomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-25846-7
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-25845-0
  • Online ISBN 978-3-030-25846-7
  • Series Print ISSN 2198-7882
  • Series Online ISSN 2198-7890
  • Buy this book on publisher's site