The key to Newton's dynamics : the Kepler problem and the Principia : containing an English translation of sections 1, 2, and 3 of book one from the first (1687) edition of Newton's Mathematical principles of natural philosophy

"The Key to Newton's Dynamics is lucid, important, and fills a large gap in the existing literature. Brackenridge is undoubtedly that gifted, patient teacher that one expects from a quality liberal arts college."—Alan E. Shapiro, University of MinnesotaWhile much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics 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. While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics 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 . Isaac Newton's Philosophiae Naturalis Pricipia Mathematica (The mathematical principles of natural philosophy), hereafter referred to as the Principia, justifiably occupies a position as one of the most influential works in Western culture, but it is a work more revered than read. J. Bruce Brackenridge ; With English Translations From The Latin By Mary Ann Rossi. Includes Bibliographical References And Index.