عنوان

Classical Newtonian gravity :

شابک

3030258467

شابک

9783030258467

شابک اشتباه

3030258459

شابک اشتباه

9783030258450

عنوان اصلي

Classical Newtonian gravity :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a comprehensive introduction, with examples and exercises /

نام نخستين پديدآور

Roberto A. Capuzzo Dolcetta.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource

عنوان فروست

UNITEXT for Physics

متن يادداشت

Includes bibliographical references.

متن يادداشت

Intro; Preface; Introduction; Contents; Symbols; 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 Geometric Interpretation; 1.4 Integration of Vector Functions; 1.5 The Formal Vector Operator; 1.5.1 Gradient and in Spherical Polar Coordinates; 1.5.2 Gradient and in Cylindrical Coordinates; 1.6 The Divergence Operator; 1.7 The Curl; 1.8 Formal Calculation of Divergence and Laplacian by the Operator; 1.8.1 Spherical Polar Coordinates; 1.8.2 Cylindrical Coordinates; 1.9 Vector Fields

متن يادداشت

1.9.1 Lines of Force of a Vector Field1.10 The Divergence Theorem; 1.10.1 The Stokes' Theorem; 1.11 Velocity Fields; 1.12 Meaning of the Divergence of a Vector Field; 1.13 Link Between Divergence and Volume Variation; 1.14 Solenoidal Vector Fields; 1.14.1 Flux Tubes; 1.15 Further Readings; 2 Newtonian Gravitational Interaction; 2.1 Single Particle Gravitational Potential; 2.2 Motion of a Particle Gravitating in a Resisting Medium; 2.3 The Gravitational N-Body Case; 2.3.1 Potential of N Gravitating Bodies; 2.3.2 Mechanical Energy of the N Bodies; 2.4 The Scalar Virial Theorem

متن يادداشت

2.4.1 Consequences of the Virial Theorem2.5 Continuous Distributions of Matter; 2.5.1 Poisson's and Laplace's Equations; 2.6 Gauss' Theorem; 2.7 Gravitational Potential Energy; 2.8 Newton's Theorems; 2.9 Further Readings; 3 Central Force Fields; 3.1 The Potential and Force Generated by a Spherical Matter Distribution; 3.1.1 Calculating Spherical Potentials via Poisson's Equation; 3.2 Motion in a Spherical Potential; 3.2.1 Circular Trajectories; 3.3 Potential Generated by a Homogeneous Sphere; 3.3.1 Trajectories in a Homogeneous Sphere; 3.3.2 Radial Motion in a Homogeneous Sphere

متن يادداشت

3.4 Some Relevant Spherical Models3.4.1 The Plummer Sphere; 3.4.2 The Isochrone Potential; 3.5 Quality of Motion; 3.5.1 The Keplerian Case; 3.5.2 The Homogeneous Sphere Case; 3.6 Periods of Oscillations; 3.6.1 Radial Period in the Keplerian Potential; 3.6.2 Radial Period in the Homogeneous Sphere Potential; 3.6.3 Radial Period in the Plummer Potential; 3.6.4 Radial Period in the Isochrone Potential; 3.7 Azimuthal Period; 3.7.1 Fully Periodic Motion; 3.8 The Inverse Problem in a Central Force Field; 3.8.1 From Elliptic Trajectories to their Central Force Field; 3.9 Further Readings

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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.

عنوان

Classical Newtonian gravity.

شماره استاندارد بين المللي کتاب و موسيقي

9783030258450

موضوع مستند نشده

Gravity.

موضوع مستند نشده

Gravity.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Capuzzo-Dolcetta, Roberto

تاريخ عمليات

20200823093448.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y