LEADER 02678nam a22002895i 4500
001 991004265227207536
005 20240125115716.0
008 190923s2019    gw a   fr     001 0|eng d
020   $a9783030258481
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Fisica$beng
082 04$a530.092$223
084   $aLC QC16.N7
084   $a53.1.5
100 3 $aCapuzzo Dolcetta, Roberto A.$01434822
245 10$aClassical Newtonian gravity :$ba comprehensive introduction, with examples and exercises /$cRoberto A. Capuzzo Dolcetta
260   $aCham :$bSpringer International Publishing,$cc2019
300   $axvi, 176 p. :$bill. (some color.) ;$c24 cm
490 0 $aUNITEXT for Physics,$x2198-7882
505 0 $aChapter 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
520   $aThis textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field
650  4$aMechanics
650  4$aSpace sciences
650  4$aPotential theory (Mathematics)
650  4$aGravitation
912   $a991004265227207536
996   $aClassical Newtonian gravity$93590962
997   $aUNISALENTO