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Record Nr. |
UNISALENTO991004265227207536 |
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Autore |
Capuzzo Dolcetta, Roberto A. |
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Titolo |
Classical Newtonian gravity : a comprehensive introduction, with examples and exercises / Roberto A. Capuzzo Dolcetta |
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Pubbl/distr/stampa |
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Cham : Springer International Publishing, c2019 |
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ISBN |
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Descrizione fisica |
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xvi, 176 p. : ill. (some color.) ; 24 cm |
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Collana |
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UNITEXT for Physics, 2198-7882 |
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Classificazione |
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Disciplina |
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Soggetti |
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Mechanics |
Space sciences |
Potential theory (Mathematics) |
Gravitation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter 1 -- Elements of Vector Calculus -- Chapter 2 Potential Theory -- Chapter 3 -- Central Force Fields -- Chapter 4 -- Potential Series Developments -- Chapter 5 -- Harmonic and Homogeneous Polynomials -- Chapter 6 -- Series of Spherical Harmonics |
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Sommario/riassunto |
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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 |
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