The Key to Newton's Dynamics: The Kepler Problem and the PrincipiaUniversity of California Press, 29/02/1996 - 330 من الصفحات 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. |
المحتوى
A GUIDED STUDY TO NEWTONS SOLUTION | 67 |
THE REVISIONS AND EXTENSIONS TO NEWTONS SOLUTION | 139 |
APPENDIX | 223 |
NOTES | 269 |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
1687 Principia AB² analysis angle area law Based on Newton's celestial center of force centripetal force chapter chord circle of curvature circular dynamics ratio circumference collisions conic section conjugate diameters constant Corollary curve demonstration Descartes described diagram for Proposition direct problems discussion distance SP doubled ratio Edmund Halley ellipse elliptical motion equal areas Figure focus force being directed force center force F given Halley hence Herivel hyperbola impulsive force inverse problem inversely proportional Kepler problem last ratio latus rectum Lemma 11 Let a body line Bc line segment linear dynamics ratio mathematical Newton employed Newton math Newton's diagram orbital equation parabolic parabolic approximation parallelogram rule path perpendicular planets principal vertex proposed Proposition Proposition 11 QT² radii radius reciprocally rectilinear motion revised editions scholium SP² statement straight line tangent Theorem tion tract On Motion triangles uniform circular motion velocity Whiteside 1974