Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that... [Read More]
When the United States Air Force Academy began teaching astrodynamics to undergraduates majoring in astronautics or aerospace engineering, it found that the traditional approach to the subject was well over 100 years old. An entirely new text had to be evolved, geared to the use of high speed digital computers and actual current practice in the industry. Over the years the new approach was proven in the classrooms of the Academy; its students entering graduate engineering schools were found to possess a better understanding of astrodynamics than others. So pressing is the need for superior tra... [Read More]
(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not ... [Read More]
Although this classic introduction to space-flight engineering was first published not long after Sputnik was launched, the fundamental principles it elucidates are as varied today as then. The problems to which these principles are applied have changed, and the widespread use of computers has accelerated problem-solving techniques, but this book is still a valuable basic text for advanced undergraduate and graduate students of aerospace engineering.The first two chapters cover vector algebra and kinematics, including angular velocity vector, tangential and normal components, and the general c... [Read More]
This book gives a survey of astrophysics at the advanced undergraduate level, providing a physics-centred analysis of a broad range of astronomical systems. It originates from a two-semester course sequence at Rutgers University that is meant to appeal not only to astrophysics students but also more broadly to physics and engineering students. The organisation is driven more by physics than by astronomy; in other words, topics are first developed in physics and then applied to astronomical systems that can be investigated, rather than the other way around. The first half of the book focuses ... [Read More]
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. Clearly written and well illustrated coverage shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood ga... [Read More]
The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems.The book is directed towards graduate students and researchers intereste... [Read More]
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 ... [Read More]
A balanced presentation that encompasses both formalism and structure in analytical dynamics, this text also addresses solution methods. Its remarkably broad and comprehensive exploration of the subject employs an approach as natural as it is logical. In addition to material usually covered in graduate courses in dynamics and nonlinear mechanics, Methods of Analytical Dynamics presents selected modern applications.Contents include discussions of fundamentals of Newtonian and analytical mechanics, motion relative to rotating reference frames, rigid body dynamics, behavior of dynamical systems, ... [Read More]
The twentieth century has witnessed the transformation of astronomy from celestial mechanics to astrophysics. While optical telescopes may have presented a peek into the structure of the constituents of the universe, such as stars and galaxies, new windows of observation have revealed far more amorphous objects, from nebulae and sheets to filaments and voids, whose "violent" processes include flares, shocks, accretion disks and jets. In these processes, plasma is often the constituent matter-- as well as the medium through which the astrophysical setting becomes so violent. In this graduate le... [Read More]
A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.
An up-to-date, thorough treatment of the standard, planetary aspects of celestial mechanics as well as the more modern problems of rockets and spacecraft. Sections on initial orbit determination, perturbation theory, and astrophysics are unique in their depth and scope. Fully worked numerical examples are included.
Fred Schaaf is one of the most experienced astronomical observers of our time. For more than two decades, his view of the sky--what will be visible, when it will be visible, and what it will
3...2...1...BLAST OFF! Take a rocket ship to outer space in Zendoodle Coloring: Celestial Wonders. This stunning book features more than 60 images of suns, moons, comets, stars, and Super Novas awaiting those who wish to
This simplified guide to the night sky includes seasonal GLOW-IN-THE-DARK charts to the stars and constellations and introduces the reader to the solar system, our moon, planets (visible with the naked eye), meteor showers and
Your Passport to the Universe The night sky is alive with many wonders--distant planets, vast star clusters, glowing nebulae, and expansive galaxies, all waiting to be explored. Let respected astronomy writer Philip Harrington introduce you
Discover more than 300 celestial wonders that can be viewed with common "backyard" telescopes. Describes and locates sun, moon, planets, star clusters, supernova remnants, and other phenomena. 1998
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