Product Description: This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts – order, chaos, invariant curves and cantori – followed by the investigation of dynamical systems with numerical methods.

Johannes Kepler contributed importantly to every field he addressed. He changed the face of astronomy by abandoning principles that had been in place for two millennia, made important discoveries in optics and mathematics, and was an uncommonly good philosopher. Generally, however, Kepler's philosophical ideas have been dismissed as irrelevant and even detrimental to his legacy of scientific accomplishment. Here, Rhonda Martens offers the first extended study of Kepler's philosophical views and shows how those views helped him construct and justify the new astronomy. Martens notes that since Kepler became a Copernican before any empirical evidence supported Copernicus over the entrenched Ptolemaic system, his initial reasons for preferring Copernicanism were not telescope observations but rather methodological and metaphysical commitments. Further, she shows that Kepler's metaphysics supported the strikingly modern view of astronomical method that led him to discover the three laws of planetary motion and to wed physics and astronomy--a key development in the scientific revolution. By tracing the evolution of Kepler's thought in his astronomical, metaphysical, and epistemological works, Martens explores the complex interplay between changes in his philosophical views and the status of his astronomical discoveries. She shows how Kepler's philosophy paved the way for the discovery of elliptical orbits and provided a defense of physical astronomy's methodological soundness. In doing so, Martens demonstrates how an empirical discipline was inspired and profoundly shaped by philosophical assumptions.

A theoretical physicist challenges Einstein's Theory of Special Relativity with a new theory on the varying speed of light that suggests that light traveled faster in the early universe than it does today, explaining how key problems in cosmology are solved by VSL theory. Reprint.

Product Description: At the opening of the "Third Meeting on Celestial Mechanics - CELMEC III", strong sensations hit our minds. The conference (18-22 June 2001) was being held in Villa Mondragone, a beautiful complex of buildings and gardens located within the township of Monte Porzio Catone, on the hills surrounding Rome...read more (view table of contents, read Amazon.com's description)

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The authors use information gathered over nearly four centuries to describe Saturn's moon Titan, the second largest moon in the solar system, and what we know about it based on observations from astronomers, results from the Voyager missions, and other sources. (view table of contents)

Product Description: This volume contains papers presented at the US/European Celestial Mecha­ nics Workshop organized by the Astronomical Observatory of Adam Mickiewicz University in Poznan, Poland and held in Poznan, from 3 to 7 July 2000. The purpose of the workshop was to identify future research in celestial mech­ anics and encourage collaboration among scientists from eastem and westem coun­ tries...read more (view table of contents, read Amazon.com's description)

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Product Description: It is now a well-established tradition that every four years, at the end of winter, a group of 'celestial mechanicians' from all over the world gather in the Austrian Alps at the invitation of R. Dvorak. This time the colloquium was held at Badhofgastein from March 19 to March 25, 2000 and was devoted to the 'New Developments in the Dynamics of Planetary Systems'...read more (view table of contents, read Amazon.com's description)

Product Description: For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not...read more (view table of contents, read Amazon.com's description)

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Product Description: The force of gravity acting over eons has provided the solar system with an intricate dynamical structure, much of it revealed by recent space missions. This comprehensive introduction to the dynamical features of the solar system also provides all the mathematical tools and physical models needed for a complete understanding of the subject...read more (view table of contents, read Amazon.com's description)

Product Description: In 2004, Venus crossed the sun's face for the first time since 1882. Some did not bother to step outside. Others planned for years, reserving tickets to see the transit in its entirety. But even this group of astronomers and experience seekers were attracted not by scientific purpose but by the event's beauty, rarity, and perhaps--after this book--history...read more (view table of contents, read Amazon.com's description)

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Product Description: Half a century ago, S. Chandrasekhar wrote these words in the preface to his 1 celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy­ namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics...read more (view table of contents, read Amazon.com's description)