This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem.

Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich and varied solution patterns that emerge in the Euler problem, which are illustrated in the appendix. A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem.

Key features:

* Highlights shared features in the unified treatment of the Kepler, Euler, and Vinti problems

* Raises challenges in analysis and astronomy, placing this trio of problems in the modern context

* Includes a full analysis of the planar Euler problem

* Highlights the complexa "and surprising orbita "patterns that arise from the Euler problem

* Provides a detailed analysis and solution for the Earth-satellite problem

The analysis and results in this work will be of interest to graduate students in mathematics and physics (including physical chemistry) andresearchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics and has direct application to celestial mechanics, astronomy, orbital mechanics, and aerospace engineering.

Einstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united into a single quantum theory of gravity? Can quantum and cosmos ever be combined? In The Nature of Space and Time, two of the world's most famous physicists--Stephen Hawking (A Brief History of Time) and Roger Penrose (The Road to Reality)--debate these questions. The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.

Reviews the current state of knowledge of neutrino masses and the related question of neutrino oscillations. After an overview of the theory of neutrino masses and mixings, detailed accounts are given of the laboratory limits on neutrino masses, astrophysical and cosmological constraints on those masses, experimental results on neutrino oscillations, the theoretical interpretation of those results, and theoretical models of neutrino masses and mixings. The book concludes with an examination of the potential of long-baseline experiments. This is an essential reference text for workers in elementary-particle physics, nuclear physics, and astrophysics.

Probing the depths of science and faith, scientist Chet Raymo investigates the mysteries of human spirituality and meaning contained in astronomy. Ranging through the stars and the myths humans have told about them for millennia, Raymo delves into "a pilgrimage in quest of the soul of the night." Chet Raymo's elegant essays link the mysterious phenomena of the night sky with the human mind and spirit, as he ranges through the realms of mythology, literature, religion, history, and anthropology. Originally published two decades ago, The Soul of the Night is a classic work that is a must for those interested in the relationship between science and faith.

The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.

Long established as one of the premier references in the fields of astronomy, planetary science, and physics, the fourth edition of Orbital Motion continues to offer comprehensive coverage of the analytical methods of classical celestial mechanics while introducing the recent numerical experiments on the orbital evolution of gravitating masses and the astrodynamics of artificial satellites and interplanetary probes. Following detailed reviews of earlier editions by distinguished lecturers in the USA and Europe, the author has carefully revised and updated this edition. Each chapter provides a thorough introduction to prepare you for more complex concepts, reflecting a consistent perspective and cohesive organization that is used throughout the book. A noted expert in the field, the author not only discusses fundamental concepts, but also offers analyses of more complex topics, such as modern galactic studies and dynamical parallaxes. New to the Fourth Edition: * Numerous updates and reorganization of all chapters to encompass new methods * New results from recent work in areas such as satellite dynamics * New chapter on the Caledonian symmetrical n-body problem Extending its coverage to meet a growing need for this subject in satellite and aerospace engineering, Orbital Motion, Fourth Edition remains a top reference for postgraduate and advanced undergraduate students, professionals such as engineers, and serious amateur astronomers.

In this selection of studies, J.L. Mancha explores aspects of the development of medieval optics and astronomy, including some medieval antecedents of the work of early modern astronomers. The articles deal with Latin, Hebrew and Arabic texts, and the process of translation and transmission of knowledge, and focus on three main themes. First, the theory and astronomical use of the pinhole camera in the 12th and 13th centuries; the texts edited here contain a solution to the problem of the formation of images cast by light through triangular apertures, equivalent to Kepler's, a description of the correct procedure for measuring solar apparent diameters using finite apertures, and a derivation of the Sun's eccentricity from its apparent diameters at apogee and perigee. Second, the characteristics of the Latin and ProvenAal versions of Levi ben Gerson's astronomical work, composed in collaboration with the author, as well as his tables and canons for finding syzygies and the mathematical methods used in the derivation of parameters. Third, different aspects of the survival of homocentric astronomy in the Middle Ages, especially al-Bitruji's model for trepidation and the technique for calculating the hippopede resulting from Eudoxan couples.

This introduction to one of the liveliest and most popular fields in philosophy is written specifically for a beginning readership with no background in philosophy or science. Step-by-step analyses of the key arguments are provided and the philosophical heart of the issues is revealed without recourse to jargon, maths, or logical formulas. The book introduces Einstein's revolutionary ideas in a clear and simple way, along with the concepts and arguments of philosophers, both ancient and modern that have proved of lasting value. Specifically, the theories of the ancient Greek philosophers, Zeno, Euclid and Parmenides are considered alongside the ideas of Newton, Leibniz and Kant as well as the giants of twentieth-century physics, Einstein and Lorentz. The problems at the heart of the philosophy of space and time, such as change, motion, infinity, shape, and inflation, are examined and the seismic impact made by relativity theory and quantum theory is assessed in the light of the latest research. The writing is lucid and entertaining, allowing a beginning readership to grasp some difficult concepts while offering the more experienced reader a succinct and illuminating presentation of the state of the debate. "Space, Time and Einstein" shows the reader the excitement of scientific discovery and the beauty of theory in the search for answers to these fundamental questions.

Jacobus C. Kapteyn (1851-1922) was a Dutch astronomer who contributed heavily to major catalogs of star positions, such as the Cape Photographic Durchmusterung and the Harvard-Groningen Durchmusterung, and arranged extensive international collaboration through his Plan of Selected Areas. He contributed to the establishment of statistical astronomy and structure and dynamics of the Sidereal System. All aspects of Kapteyn's life are discussed, from his birth in Barneveld, the Netherlands, to his death in Amsterdam, and his entire resume of scientific achievements in between. Kapteyn had some conflicts with others in his field, especially after the world became divided on how to handle scientific contributions from Germany post-World War I. Both Kapteyn's struggles and achievements are written against the backdrop of both the historical context of the world at that time as well as the scientific one.

Series Information:
Critical Geographies

Timespace undermines the old certainties of time and space by arguing that these dimensions do not exist singly, but only as a hybrid process term. The issue of space has perhaps been over-emphasised and it is essential that processes of everyday existence, such as globalisation and environmental issues and also notions such as gender, race and ethnicity, are looked at with a balanced time-space analysis.
The social and cultural consequences of this move are traced through a series of studies which deploy different perspectives - structural, phenomenological and even Buddhist - in order to make things meet up. The contributors provide an overview of the history of time and introduce the concepts of time and space together, across a range of disciplines. The themes discussed are of importance for cultural geography, sociology, anthropology, cultural and media studies, and psychology.

Gravitational waves (GWs) are a hot topic and promise to play a central role in astrophysics, cosmology, and theoretical physics. Technological developments have led us to the brink of their direct observation, which could become a reality in the coming years. The direct observation of GWs will open an entirely new field: GW astronomy. This is expected to bring a revolution in our knowledge of the universe by allowing the observation of previously unseen phenomena, such as the coalescence of compact objects (neutron stars and black holes), the fall of stars into supermassive black holes, stellar core collapses, big-bang relics, and the new and unexpected.
With a wide range of contributions by leading scientists in the field, Gravitational Waves covers topics such as the basics of GWs, various advanced topics, GW detectors, astrophysics of GW sources, numerical applications, and several recent theoretical developments. The material is written at a level suitable for postgraduate students entering the field.

This collection of fifty-one fascinating and engaging activities opens up the gateway to outer space for stargazers young and old. Emphasizing group and family interaction, authors Philip Harrington and Edward Pascuzzi provide innovative activities that will help children identify, understand, and appreciate the objects in the Milky Way and galaxies beyond. With this book, you will become familiar with the constellations, planets, and phases of the moon. You will learn how sundials and telescopes work and even how to build your own. You'll also discover what causes shooting starts, auroras, nebulae, and other galactic phenomena. Charts of lunar-eclipse and meteor-shower dates will help you plan your viewing schedules. Clear, helpful diagrams, star charts, and photographs will guide you through the world of astronomy and make this book a delight to use. (8 1/2 x 11, 224 pages, b&w photos, illustrations, diagrams, charts)

"The Higgs Hunter's Guide" is a definitive and comprehensive guide to the physics of Higgs bosons. In particular, it discusses the extended Higgs sectors required by those recent theoretical approaches that go beyond the Standard Model, including supersymmetry and superstring-inspired models.

Reflecting the results of twenty years; experience in the field of multipurpose flights, this monograph includes the complex routes of the trajectories of a number of bodies (e.g., space vehicles, comets) in the solar system.
A general methodological approach to the research of flight schemes and the choice of optimal performances is developed. Additionally, a number of interconnected methods and algorithms used at sequential stages of such development are introduced, which allow the selection of a rational multipurpose route for a space vehicle, the design of multipurpose orbits, the determination of optimal space vehicle design, and ballistic performances for carrying out the routes chosen. Other topics include the practical results obtained from using these methods, navigation problems, near-to-planet orbits, and an overview of proven and new flight schemes.

From an historical perspective, this text presents an entirely non- mathematical introduction to astronomy from the first endeavours of the ancients to the current developments in research enabled by cutting edge technological advances. Free of mathematics and complex graphs, the book nevertheless explains deep concepts of space and time, of relativity and quantum mechanics, and of origin and nature of the universe. It conveys not only the intrinsic fascination of the subject, but also the human side and the scientific method as practised by Kepler, defined and elucidated by Galileo, and then demonstrated by Newton.

Edwin Hubble: Mariner of the Nebulae is both the biography of an extraordinary human being and the story of the greatest quest in the history of astronomy since the Copernican revolution. The book is a revealing portrait of scientific genius, an incisive engaging history of ideas, and a shimmering evocation of what we see when gazing at the stars.
Born in 1889 and reared in the village of Marshfield, Missouri, Edwin Powell Hubble-star athlete, Rhodes Scholar, military officer, and astronomer- became one of the towering figures in twentieth-century science. Hubble worked with the great 100-inch Hooker telescope at California's Mount Wilson Observatory and made a series of discoveries that revolutionized humanity's vision of the cosmos. In 1923 he was able to confirm the existence of other nebulae (now known to be galaxies) beyond our own Milky Way. By the end of the decade, Hubble had proven that the universe is expanding, thus laying the very cornerstone of the big bang theory of creation. It was Hubble who developed the elegant scheme by which the galaxies are classified as ellipticals and spirals, and it was Hubble who first provided reliable evidence that the universe is homogeneous, the same in all directions as far as the telescope can see.
An incurable Anglophile with a penchant for tweed jackets and English briars, Hubble, together with his brilliant and witty wife, Grace Burke, became a fixture in Hollywood society in the 1930s and 40s. They counted among their friends Charlie Chaplin, the Marx brothers, Anita Loos, Aldous and Maria Huxley, Walt Disney, Helen Hayes, and William Randolph Hearst. Albert Einstein, a frequent visitor to Southern California, called Hubble's work "beautiful" and modified his equations on relativity to account for the discovery that the cosmos is expanding.

Series Information:
Garland Encyclopedias in the History of Science

TheinternationalconferenceHowdoestheGalaxywork? Agalactictertulia rd th with Don Cox and Ron Reynolds, was held during the week of 23 to 27 of June 2003 in the marvelous city of Granada, Spain. This week marked the beginningofoneofthehottestsummersthatwehaveeverlived, butincontrast, the meeting was one of the coolest events that we can remember! First, it certainly wasa?rstclassscienti?creunion, withanexcellent program, talented speakers, and alive discussions in a friendly atmosphere. Second, the whole event was embedded in the passionate Andalucian way of life, a true tertulia, well seasoned with tasty tapas and perfectly marinated in cool and dry sherry wine. Third, the celebration was framed by some of the most beautiful settings thatonecanimagine; weenjoyedthemagni?centsplendoroftheAlhambra,the unique Muslim-Jewish-Christian ?avor of the Albaicin, and the magical gipsy heartbeat of Sacromonte. Last but not least, all discussions, whether they were duringthesessionsoratabartable,weresprinkledwiththecharmandwitofthe twoguestsofhonor: DonCoxandRonReynolds. Theideaofhavingascienti?c feast to celebrate their 60th birthday in Granada was actually conceived at a bar table in Seville, with plenty of manzanilla at hand, a couple of summers ago. That, perhaps, was the dif?cult part of the project. The rest was relatively easy to achieve because Don and Ron are not only remarkable astronomers but they are also great human beings. Indeed, we had a very positive response from all parties involved: every person we talked to was enthusiastic about the celebration, and wanted to give their own point of view in this tertulia.

This book presents the basic fundamentals of descriptive archaeoastronomy and its application to the astronomical descriptions found in ancient Indian scriptures. Archaeoastronomy is a branch of positional astronomy that helps to determine the epochs of ancient astronomical alignments and special astronomical events. In this book, only the descriptions of special stellar alignments and events found in ancient texts can identify the antiquity of the descriptions. India possesses a large volume of ancient scriptures like Vedas and Puranas which contain many astronomical descriptions as in ancient India positional astronomy was well developed. The antiquities of these texts are determined through archaeoastronomical techniques. Major events like Mahabharata War are dated and using these dates a chronology of ancient India is determined. The astronomically determined chronology is compared with the results from various archaeological, palaeoclimatological, geological and genealogical investigations of ancient India. This introductory book interests readers interested in unveiling the mystery involved with the protohistory of this ancient civilization.

Advances in Machine Learning and Data Mining for Astronomy documents numerous successful collaborations among computer scientists, statisticians, and astronomers who illustrate the application of state-of-the-art machine learning and data mining techniques in astronomy. Due to the massive amount and complexity of data in most scientific disciplines, the material discussed in this text transcends traditional boundaries between various areas in the sciences and computer science. The book's introductory part provides context to issues in the astronomical sciences that are also important to health, social, and physical sciences, particularly probabilistic and statistical aspects of classification and cluster analysis. The next part describes a number of astrophysics case studies that leverage a range of machine learning and data mining technologies. In the last part, developers of algorithms and practitioners of machine learning and data mining show how these tools and techniques are used in astronomical applications. With contributions from leading astronomers and computer scientists, this book is a practical guide to many of the most important developments in machine learning, data mining, and statistics. It explores how these advances can solve current and future problems in astronomy and looks at how they could lead to the creation of entirely new algorithms within the data mining community.

The chief argument of this book, first published in 1990, is that Ibn al-Haytham's On the Configuration of the World is a non-technical expose of basic astronomical teachings: it was written in particular for those whose main interests were in the areas of philosophy and natural science and who, accordingly, had an interest in relating the mathematical devices employed by professional astronomers to the heavenly bodies mentioned in the philosophical literature. However, the primary reason for this publication is not the advancement of this thesis, but rather the presentation of the medieval texts themselves, normally so inaccessible to scholars and students alike.

With their best-selling astronomy textbook, HORIZONS, International Edition authors Mike Seeds and Dana Backman help you understand your place in the universe--not just your location in space but your role in the unfolding history of the physical universe. To achieve this goal, they focuses on two central questions: "What Are We?" which highlights your place as a planet dweller in an evolving universe, guiding you to better understand where we came from and how we formed; and "How Do We Know?" which provides insights into how the process of science can teach us more about what we are.