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Classical Newtonian Gravity [[electronic resource] ] : A Comprehensive Introduction, with Examples and Exercises / / by Roberto A. Capuzzo Dolcetta
| Classical Newtonian Gravity [[electronic resource] ] : A Comprehensive Introduction, with Examples and Exercises / / by Roberto A. Capuzzo Dolcetta |
| Autore | Capuzzo Dolcetta Roberto A |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XVI, 176 p. 34 illus., 3 illus. in color.) |
| Disciplina | 530.092 |
| Collana | UNITEXT for Physics |
| Soggetto topico |
Mechanics
Space sciences Potential theory (Mathematics) Gravitation Classical Mechanics Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) Potential Theory Classical and Quantum Gravitation, Relativity Theory |
| ISBN | 3-030-25846-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1 -- Elements of Vector Calculus -- 1.1 Vector Functions of Real Variables -- 1.2 Limits of vector Functions -- 1.3 Derivatives of Vector Functions -- 1.3.1 Geometrie Interpretation -- 1.4 Integrals of Vector Functions -- 1.5 The Formal Operator Nabla, ∇ -- 1.5.1 ∇ in Polar Coordinates -- 1.5.2 ∇ in Cylindrical Coordinates -- 1.6 The Divergence Operator -- 1.7 The Curl Operator -- 1.8 Divergence and Curl by Means of ∇ -- 1.8.1 Spherical Polar Coordinates -- 1.8.2 Cylindrieal Coordinates -- 1.9 Vector Fields -- 1.9.1 Field Lines -- 1.10 Divergence Theorem -- 1.10.1 Velocity Fields -- 1.10.2 Continuity Equation -- 1.10.3 Field Lines of Solenoidal Fields -- Chapter 2 Potential Theory -- Discrete mass distributions -- 2.1 Single particle gravitational potential -- 2.2 The gravitating N body case -- 2.3 Mechanical Energy of the N bodies -- 2.4 The Scalar Virial Theorem -- 2.4.1 Consequenees of the Virial Theorem -- 2.5 Newtonian Gravitational Force and Potential -- 2.6 Gauss Theorem -- 2.7 Gravitational Potential Energy -- 2.8 Newton’s Theorems -- Chapter 3 -- Central Force Fields -- 3.1 Force and Potential of a Spherical Mass Distribution -- 3.2 Circular orbits -- 3.2 Potential of a Homogeneous Sphere -- 3.3.1 Quality of Motion -- 3.3.2 Particle Trajectories -- 3.4 Periods of Oscillations -- 3.4.1 Radial and Azimuthal Oscillations -- 3.4.2 Radial Oscillations in a Homogeneous Sphere -- 3.4.3 Radial Oscillations in a Point Mass Potential -- 3.5 The Isochrone Potential -- 3.6 The Inverse Problem in Spherical Distributions -- Chapter 4 -- Potential Series Developments -- 4.1 Fundamental Solution of Laplace'sChapter 1 -- Elements of Vector Calculus -- 1.1 Vector Functions of Real Variables -- 1.2 Limits of vector Functions -- 1.3 Derivatives of Vector Functions -- 1.3.1 Geometrie Interpretation -- 1.4 Integrals of Vector Functions -- 1.5 The Formal Operator Nabla, ∇ -- 1.5.1 ∇ in Polar Coordinates -- 1.5.2 ∇ in Cylindrical Coordinates -- 1.6 The Divergence Operator -- 1.7 The Curl Operator -- 1.8 Divergence and Curl by Means of ∇ -- 1.8.1 Spherical Polar Coordinates -- 1.8.2 Cylindrieal Coordinates -- 1.9 Vector Fields -- 1.9.1 Field Lines -- 1.10 Divergence Theorem -- 1.10.1 Velocity Fields -- 1.10.2 Continuity Equation -- 1.10.3 Field Lines of Solenoidal Fields -- Chapter 2 Potential Theory -- Discrete mass distributions -- 2.1 Single particle gravitational potential -- 2.2 The gravitating N body case -- 2.3 Mechanical Energy of the N bodies -- 2.4 The Scalar Virial Theorem -- 2.4.1 Consequenees of the Virial Theorem -- 2.5 Newtonian Gravitational Force and Potential -- 2.6 Gauss Theorem -- 2.7 Gravitational Potential Energy -- 2.8 Newton’s Theorems -- Chapter 3 -- Central Force Fields -- 3.1 Force and Potential of a Spherical Mass Distribution -- 3.2 Circular orbits -- 3.2 Potential of a Homogeneous Sphere -- 3.3.1 Quality of Motion -- 3.3.2 Particle Trajectories -- 3.4 Periods of Oscillations -- 3.4.1 Radial and Azimuthal Oscillations -- 3.4.2 Radial Oscillations in a Homogeneous Sphere -- 3.4.3 Radial Oscillations in a Point Mass Potential -- 3.5 The Isochrone Potential -- 3.6 The Inverse Problem in Spherical Distributions -- Chapter 4 -- Potential Series Developments -- 4.1 Fundamental Solution of Laplace's Equation -- 4.2 Harmonic Functions -- 4.3 Legendre's Polynomials -- 4.4 Recursive Relations -- 4.4.1 First Recursive Relation -- 4.4.2 Second Recursive Relation -- 4.5 Legendre Differential Equation -- 4.6 Orthogonality of Legendre's Polynomials -- 4.7 Development in Series of Legendre's Polynomials -- 4.8 Rodrigues Formula Chapter 5 -- Harmonic and Homogeneous Polynomials -- 5.1 Spherical Harmonics -- 5.2 Solution of the Differential equations for Sm(θ, ϕ) -- 5.3 The Solution in ϕ -- 5.4 A note on the Associated Legendre Differential Equation -- 5.5 Zonal, Sectorial and Tesseral Spherical Harmonics -- 5.5.1Orthogonality Properties -- Chapter 6 -- Series of Spherical Harmonics -- 6.1 Potential Developments Out of a Mass Distribution -- 6.2 The External Earth Potential -- 6.3 Exercises. |
| Record Nr. | UNINA-9910349501303321 |
Capuzzo Dolcetta Roberto A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Physics of Fluids [[electronic resource] /] / by Roberto A. Capuzzo Dolcetta
| Physics of Fluids [[electronic resource] /] / by Roberto A. Capuzzo Dolcetta |
| Autore | Capuzzo Dolcetta Roberto A |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (XII, 136 p. 26 illus., 19 illus. in color.) |
| Disciplina | 536.7 |
| Collana | UNITEXT for Physics |
| Soggetto topico |
Thermodynamics
Astrophysics Continuum mechanics Continuum Mechanics |
| ISBN | 3-031-30750-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Chapter 1 Fluids and their fundamental aspects -- Chapter 2 The basic equations -- Chapter 3. Fluid flows in different environments -- 3.1. Fluids in terrestrial and astrophysical context -- Chapter 4. Discontinuities in fluid flows -- Chapter 5. Blast waves -- Chapter 6. Peculiar Fluid Dynamics -- Appendix Useful mathematical tools. |
| Record Nr. | UNINA-9910735779303321 |
|
Capuzzo Dolcetta Roberto A
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||