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020 _a9783030258450
040 _cIIT Kanpur
041 _aeng
082 _a526.7
_bD687c
100 _aDolcetta, Roberto A. Capuzzo
245 _aClassical Newtonian gravity
_ba comprehensive introduction, with examples and exercises
_cRoberto A. Capuzzo Dolcetta
260 _bSpringer
_c2019
_aSwitzerland
300 _axvi, 176p
440 _aUNITEXT for physics
490 _a/ edited by Michele Cini
520 _aThis 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.
650 _aGravity
942 _cBK
999 _c561124
_d561124