The Foundations of Celestial Mechanics - G. W. Collins, Angielskie techniczne
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//-->The FoundationsOfCelestial MechanicsByGeorge W. Collins, IICase Western Reserve University©2004 by the Pachart Foundation dba PachartPublishing House and reprinted by permission.iiTo C.M.Huffer, who taught it the old way,but who cared that we learn.iiiivTable of ContentsList of Figures……………………………………………………...………….viiiPreface…………………………………………………………………………..ixPreface to the WEB edition…………………………………………………….xiiChapter 1: Introduction and Mathematics Review …………………………….. 11.1 The Nature of Celestial Mechanics……………………………….. 11.2 Scalars, Vectors, Tensors, Matrices and Their Products…………. 2a. Scalars. ……………………………………………………… 2b. Vectors ……………………………………...…………………3c. Tensors and Matrices…………………………………………. 41.3 Commutatively, Associativity, and Distributivity….……………….81.4 Operators……………………………………...………………….... 8a. Common Del Operators……………………………………...13Chapter l Exercises……………………………………………………..14Chapter 2: Coordinate Systems and Coordinate Transformations………………152.1 Orthogonal Coordinate Systems…………………………………….162.2 Astronomical Coordinate Systems…………………………………..17a. The Right Ascension –Declination Coordinate System………17b. Ecliptic Coordinates…………………………………………..19c. Alt-Azimuth Coordinate System……………………………...192.3 Geographic Coordinate Systems…………………………………….20a. The Astronomical Coordinate System……………………….. 20b. The Geodetic Coordinate System……………………………..20c. The Geocentric Coordinate System…………………………...212.4 Coordinate Transformations…………………………………………212.5 The Eulerian Angles…………………………………………………272.6 The Astronomical Triangle…………………………………………..282.7 Time………………………………………………………………….34Chapter 2 Exercises………………………………………………………38Chapter 3: The Basics of Classical Mechanics…………………………………..393.1 Newton's Laws and the Conservation of Momentum and Energy….. 393.2 Virtual Work, D'Alembert's Principle, and Lagrange's Equations ofMotion. ……………………………………………………………...423.3 The Hamiltonian…………………………...………………………...47Chapter 3 :Exercises …………………………………………………….50v
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