The Key to Newton's Dynamics
by J. Bruce Brackenridge
Publisher: University of California Press 1996
Number of pages: 330
The book clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.
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Set of lecture notes for an upper-division classical dynamics course: oscillations, Keplerian orbits, two-body scattering, rotation of rigid bodies in three dimensions, Lagrangian mechanics, Hamiltonian mechanics, and coupled oscillations.
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